Ratios & Proportions

Problem 901

Tran pays \ $84 for gas and drives$ m$ miles.
a) Find the cost per mile. b) What does "per" mean? c) Test with $m = 200$ . Does it make sense?

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Problem 902

Calculate: 405.36 g ÷ 0.57 mL = $\square$ g/mL; 7.808 g/mL × 0.6 mL = $\square$ g; 269.58 g ÷ 0.86 mL = $\square$ g/mL.

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Problem 903

Janet's baby weighs 15.0 lbs. How much Amoxicillin (in mg) is needed daily at 30.0 mg/kg? Show all calculations.

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Problem 904

Janet's baby weighs $15.0 \, \text{lbs}$ . How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for $30 \, \text{mg/kg}$ ?

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Problem 905

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to $2.40 \mathrm{~g}$ and salt has $39.33 \mathrm{~g}$ sodium/100g?

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Problem 906

Calculate the following with correct significant digits:
1. $405.36 \mathrm{~g} \div 0.57 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}$
2. $7.808 \frac{\mathrm{g}}{\mathrm{mL}} \times 0.6 \mathrm{~mL} = \square \mathrm{g}$
3. $269.58 \mathrm{~g} \div 0.86 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}$

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Problem 907

Find the least common multiple (LCM) of 84 and 24. The LCM is $\text{lcm}(84, 24)$ .

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Problem 908

Four friends paid a total of \$50.24 for tickets. What is the cost per ticket for each friend?

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Problem 909

A GOLD RECTANGULAR SOLID HAS A DIMENSION OF 8 IN BY 6 IN. IT WEIGHS 250 POUNDS. WHAT IS THE PRESSURE THE SOLID EXERTS ON THE FLOOR BY THE SOLID? EXPRESS YOUR ANSWER IN PASCALS.

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Problem 910

b) Liam, Joan and Martha split a bill in the following ratio: \begin{tabular}{|ccccc|} \hline Liam & & Joan & & Martha \\ 4 & $:$ & 3 & $:$ & 5 \\ \hline \end{tabular}
Liam and Joan paid $€ 154$ in total between them. Martha paid the rest of the bill. Work out how much Martha paid.

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Problem 911

5. An architect wants to make a miniature model of this truck.
The scale will be 0.25 inch $=2$ feet. What will the height of the truck be in the model? $X=$ in

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Problem 912

[a] Meg and Gabby work at different car washes. Meg worked for 4 hours and earned $\$ 31$ . Gabby worked for 5 hours and earned $\$ 37.50$ . Who makes more money per hour?
Meg Gabby

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Problem 913

Most of the cars the Green Pine Auto Dealership sells are minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, the dealership ran some promotions, and they sold 15 minivans and 25 sedans. During which month did the dealership sell a greater ratio of minivans to sedans?
The dealership sold a greater ratio in January.
The dealership sold a greater ratio in February.
Neither. The dealership sold the same ratio in both months.

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Problem 914

Danny had friends over to watch a football game last night. He served spicy cheese dip as an appetizer. First, he melted cheese in a pot. He split the cheese, putting the same amount into two serving bowls. Then, Danny mixed spicy peppers into each bowl. He put fewer spicy peppers in the second bowl. Which cheese dip was spicier?
The first bowl of cheese dip was spicier.
The second bowl of cheese dip was spicier.
Neither. The cheese dips were equally spicy.

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Problem 915

TYT / Temel Matematik
5. \%40'ı tuz olan bir çözelti hazırlamak isteyen Alper'in, bunun için boş bir kaba 10 birimküp tuz ve bir miktar su koyup karıştırması gerekmektedir. Boş kaba tuzu doğru ölçüde koyan Alper, kaba yanlışlıkla doğru ölçünün 2 katı kadar su koyduğuna göre, oluşan çözeltinin yüzde kaçı tuz olur? A) 15 B) 20 C) 25 D) 30 E) 35

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Problem 916

1.(1) 288 dollars must be divided between three children proportionally of their ages. Children are 10, 11 and 15 years old. How many dollars will receive the eldest child?
2. (0.5) What percent of 1050 is 70 ?
3. (0.5) 80 is $4 \%$ of what number?
4. (0.5) Find 35 percent of 300

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Problem 917

16. Машины үйлдвэр $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвәрлэдәг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? 900

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Problem 918

30. Гурван тоо $3: 7: 5$ харьцаа үүсгэнэ. 1 тоо Il-аасаа 36 -аар бага бол эдгээр тиол ол.
31. Гурван тоо $5.5: 1.5: 3.5$ харьцаа үүсгэнэ. I тоо III-аасаа 48-аар их бол эдгээр тоог ол.

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Problem 919

75. $a, b, c$ - натурал тоонууд, $\frac{a}{b}=\frac{3}{4}, \frac{b}{c}=\frac{1}{4}$ бол $a+b+c$ нийлбэрийн хамгийн бага утгыг ол.
76. $\frac{a}{2}=\frac{b}{3}=\frac{c}{5}, 2 a+b+3 c=44$ бол $a b c=$ ?
77. $a, b>0,2: a: b=a: 8: 14$ бол $b=$ ?
ч аль вэ?
78. $\frac{1}{2 a-c}=\frac{3}{2 b-a}=\frac{5}{2 c-b}=\frac{1}{3}, a+b+c=$ ?
79. $4 a=5 b, 9 c=7 a$ бол $\frac{b}{c}=$ ?
80. $\frac{a}{b}=\frac{c}{d}, a b d-b^{2} c+3 a-12=6$ бол $a=?$ O) Infinite Test Prep Center

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Problem 920

20. Нийло̄эр нь 134 -тэй т тнцуү гурван тооны I нь II-тайгаа $6: 7$ , II нь III-тай $3: 4$ харьцаа贝сгдыя бол ддгээр тоог ол.
27. Нийлбэр нь 156 -тай тэнцүү гурван тооны 1 нь II-тайгаа $3: 2$ , II нь III-тай $2: 7$ харьцаа

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Problem 921

Use the equivalent fraction chart to answer questions 1-3. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{12}{|c|}{1} \\ \hline \multicolumn{6}{|c|}{ $\frac{1}{2}$ } & \multicolumn{6}{|c|}{ $\frac{1}{2}$ } \\ \hline \multicolumn{4}{|c|}{ $\frac{1}{3}$ } & \multicolumn{4}{|c|}{ $\frac{1}{3}$ } & \multicolumn{4}{|c|}{ $\frac{1}{3}$ } \\ \hline \multicolumn{3}{|c|}{ $\frac{1}{4}$ } & \multicolumn{3}{|c|}{ $\frac{1}{4}$ } & \multicolumn{3}{|c|}{ $\frac{1}{4}$ } & \multicolumn{3}{|c|}{ $\frac{1}{4}$ } \\ \hline & $\frac{1}{5}$ & \multicolumn{3}{|c|}{ $\frac{1}{5}$ } & \multicolumn{2}{|l|}{ $\frac{1}{5}$ } & \multicolumn{2}{|r|}{ $\frac{1}{5}$ } & \multicolumn{3}{|c|}{ $\frac{1}{5}$ } \\ \hline & & \multicolumn{2}{|c|}{ $\frac{1}{6}$ } & \multicolumn{2}{|c|}{ $\frac{1}{6}$ } & \multicolumn{2}{|l|}{ $\frac{1}{6}$ } & \multicolumn{2}{|l|}{ $\frac{1}{6}$ } & \multicolumn{2}{|l|}{ $\frac{1}{6}$ } \\ \hline $\frac{1}{8}$ & & $\frac{1}{8}$ & $\frac{1}{8}$ & \multicolumn{2}{|r|}{ $\frac{1}{8}$ } & $\frac{1}{8}$ & \multicolumn{2}{|r|}{ $\frac{1}{8}$ } & $\frac{1}{8}$ & \multicolumn{2}{|r|}{ $\frac{1}{8}$ } \\ \hline $\frac{1}{9}$ & \multicolumn{2}{|r|}{ $\frac{1}{9}$ } & $\frac{1}{9}$ & $\frac{1}{9}$ & $\frac{1}{9}$ & & $\frac{1}{9}$ & $\frac{1}{9}$ & & & $\frac{1}{9}$ \\ \hline $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ \\ \hline \end{tabular}
1 Which fractions are NOT equivalent to $\frac{2}{3}$ ? Circle SEVEN answers. $\frac{4}{6}$ $\frac{3}{5}$ $\square$ $\square$ $\frac{1}{2}$ $\square$ $\frac{4}{5}$ $\frac{5}{8}$ $\frac{4}{8}$ $\frac{3}{4}$ $\frac{6}{9}$ $\square$ 2 Marquis needs to name all the fractions shown on the chart that are equivalent to $\frac{1}{2}$ . Which list shows these fractions? A $\frac{2}{4}, \frac{3}{6}, \frac{5}{9}, \frac{6}{12}$ B $\frac{2}{4}, \frac{3}{6}, \frac{4}{8}$ C $\frac{3}{6}, \frac{6}{12}$ D $\frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{6}{12}$ 3 Which row of fractions in the fraction chart has no equivalent fractions shown? A The row of thirds B The row of fifths C The row of sixths D The row of ninths

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Problem 922

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs \ $2.83 - 1 US gallon = 3.785 litres -$ £ 1=\ $1.46$
In which city is petrol better value for money, London or New Yor You must show your working.

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Problem 923

On Saturday, some adults and some children were in a theatre The ratio of the number of adults to the number of children was $5: 2$ Each person had a seat in the Circle or had a seat in the Stalls Three quarters of the children had seats in the Stalls 117 children had seats in the Circle There are exactly 2600 seats in the theatre On this Saturday, were there people on more than $60 \%$ of the seats? You must show how you get your answer

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Problem 924

Virginia Beach City Public Schools Math $7>$ Convert customary and metric units using proportions DPY
Which proportion could you use to convert 5 kilograms to grams? $\frac{10 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }} \quad \frac{1,000 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }}$
Convert. 5 kilograms = $\square$ grams Submit

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Problem 925

Which proportion could you use to convert 3.5 gallons to cups? $\frac{16 \text { cups }}{1 \text { gallon }}=\frac{? \text { cups }}{3.5 \text { gallons }} \quad \frac{16 \text { cups }}{1 \text { gallon }}=\frac{3.5 \text { gallons }}{? \text { cups }}$
Convert. 3.5 gallons $=$ $\square$ cups Submit

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Problem 926

6.4. 1) Скорость полета голубя 90 км/ч, ласточки 150 км/ч. Ласточка за определенное время пролетела 10 км. Какое расстояние пролетит голубь за это же время? 2) 8 метров шелка стоят столько же, сколько 63 метра шелка. Сколько метров шелка можно купить вместо 14 метров шелка? 3) В 17 л раствора содержится 6 л спирта. Сколько литров спирта содержится
в л раствора?

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Problem 927

4. The pet store had 6 puppies selling for 104 dollars each, and 12 kittens for 24 dollars each. Today, only 3 puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? A. 13 to 3 B. 11 to 1 C. 8 to 7 D. 1 to 3

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Problem 928

Una persona mide la temperatura del agua y obtiene $25^{\circ}$ C. ¿Cuál es esta temperatura en grados Fahrenheit?

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Problem 929

How many mL of a suspension with $250 \mathrm{mg}/5.0 \mathrm{~mL}$ are needed for a $0.125 \mathrm{~g}$ dose of ampicillin?

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Problem 930

Calculate the molarity of a solution made by dissolving 0.026 g of CuF₂ in 250 mL of water. Round to 2 significant digits.

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Problem 931

Calculate the concentration in mol/L of a solution made by dissolving 288 g of FeBr₂ in 400 mL of water. Round to 3 significant figures.

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Problem 932

Calculate the concentration in mol/L of a solution made by dissolving 12 g of NaCl in 400 mL of water. Round to 2 sig. figs.

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Problem 933

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

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Problem 934

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients: - $\frac{1}{3}$ cup butter - 3 ounces unsweetened chocolate - $\frac{3}{4}$ cups sugar - $1 \frac{1}{2}$ teaspoons vanilla - 2 eggs - $\frac{2}{3}$ cup flour
Find the amount of butter needed.

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Problem 935

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

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Problem 936

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

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Problem 937

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

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Problem 938

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is $6.00 \mathrm{mg} / \mathrm{kg}$ .

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Problem 939

Find the ingredient amounts to make 8 brownies from the following for 16 brownies:
- $\frac{1}{3}$ cup butter - 3 oz chocolate - $\frac{3}{4}$ cup sugar - $1 \frac{1}{2}$ tsp vanilla - 2 eggs - $\frac{2}{3}$ cup flour.
Provide simplified quantities.

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Problem 940

With 1 cup of butter, how many brownies can you make from the ingredients for 16 brownies? (Answer as a whole number.)

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Problem 941

What is the rate of women who didn't complete $9^{\text {th }}$ grade per 100,000, given 4,421,000 out of $129,262,000$ ?

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Problem 942

How many tablets of Synthroid (50 mcg each) are needed for a dosage of 0.114 mg?

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Problem 943

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio $\frac{270}{200}$ .

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Problem 944

Calculators cost \$85 per dozen and sell for \$25 for three. Find profit on six dozen calculators: profit is \$\square.

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Problem 945

You rent 6 DVDs for a month. Calculate if Option C's \$15.99 streaming is cheaper than renting at \$1.45/night.

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Problem 946

Evaluate. $\frac{7!6!}{9!4!}$
Simplify your answer as much as possible.

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Problem 947

prombe, possinge
Determine the monthly principal and interest payment for a 20 -year mortgage when the amount financed is $\$ 285,000$ and the annual percentage rate (APR) is $4.5 \%$ . Click here for table of Monthly Payments
The monthly principal and interest payment is $\$$ $\square$ (Round to the nearest cent as needed.) Monthly Principal and Interest Payment per \1000 of Mortgage \begin{tabular}{|cccccc|} \hline \multicolumn{5}{c|}{ Number of Years } \\ Rate \% & 10 & 15 & \mathbf{2 0} & \mathbf{2 5} & \mathbf{3 0} \\ 4.0 & \ $10.12451$ & $\$ 7.39688$ & $\$ 6.05980$ & $\$ 5.27837$ & $\$ 4.77415$ \\ 4.5 & $\$ 10.36384$ & $\$ 7.64993$ & $\$ 6.32649$ & $\$ 5.55832$ & $\$ 5.06685$ \\ 5.0 & $\$ 10.60655$ & $\$ 7.90794$ & $\$ 6.59956$ & $\$ 5.84590$ & $\$ 5.36822$ \\ 5.5 & $\$ 10.85263$ & $\$ 8.17083$ & $\$ 6.87887$ & $\$ 6.14087$ & $\$ 5.67789$ \\ 6.0 & $\$ 11.10205$ & $\$ 8.43857$ & $\$ 7.16431$ & $\$ 6.44301$ & $\$ 5.99551$ \\ 6.5 & $\$ 11.35480$ & $\$ 8.71107$ & $\$ 7.45573$ & $\$ 6.75207$ & $\$ 6.32068$ \\ 7.0 & $\$ 11.61085$ & $\$ 8.98828$ & $\$ 7.75299$ & $\$ 7.06779$ & $\$ 6.65302$ \\ 7.5 & $\$ 11.87018$ & $\$ 9.27012$ & $\$ 8.05593$ & $\$ 7.38991$ & $\$ 6.99215$ \\ 8.0 & $\$ 12.13276$ & $\$ 9.55652$ & $\$ 8.36440$ & $\$ 7.71816$ & $\$ 7.33765$ \\ 8.5 & $\$ 12.39857$ & $\$ 9.84740$ & $\$ 8.67823$ & $\$ 8.05227$ & $\$ 7.68913$ \\ 9.0 & $\$ 12.66758$ & $\$ 10.14267$ & $\$ 8.99726$ & $\$ 8.39196$ & $\$ 8.04623$ \\ 9.5 & $\$ 12.93976$ & $\$ 10.44225$ & $\$ 9.32131$ & $\$ 8.73697$ & $\$ 8.40854$ \\ \hline \end{tabular}

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Problem 948

2 A tin of soup has the following information on the label. \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{} \\ \hline 200 grams of soup contains \\ \hline Protein & Carbohydrate & Fat \\ \hline $4 . \mathrm{g}$ & 8.7 g & 5.8 g \\ \hline \end{tabular} (a) What fraction of the soup is Protein? Give your answer in its simplest form. $\frac{4}{200} \Rightarrow \frac{1}{50}$ (b) What percentage of the soup is Carbohydrate? $4.305 \frac{8-7}{200} \times 100 \quad \text { Answer(b) ......................................... \% [1] }$

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Problem 949

Direction: Solve all of the problems in this section a
1. Convert the following units: A. 0.2 g to microgram [ 5 pts $]$ B. 0.86 mcg to gram [ 5 pts $]$ C. 280 lb to kilogram [5 pts]
Give the correct amount of tablets Do All
2. A patient has been prescribed 850 mg TDD in 4 divided doses. The stock tablets you have are 250 mg . How many tablets do you give the patient for a single dose? [9.37 pts]
3. A patient has been prescribed 300 mg every 4 hours. The stock tablets you have are 150 mg . How many tablets do you give the patient in a day? [9.37 pts]
Give the correct amount for iniection Do Any Two (2)
4. The patient needs 350 mcg of Drug $X$ . You have 1 mg in 1 ml . How many ml do you give? $[9.37 \mathrm{pts}]$
5. 0.6 mg of drug $X$ is required. Stock is 0.4 mg in 2 ml . What volume do you give? 19.37 $\mathrm{pts} \mid$
6. 0.1 ml is given; it should have been 0.01 ml . How many times too much is this? 19.37 $\mathrm{pts}]$
Body Weight Calculations (Single dose) Do Any Twa (2)
7. A male patient weighs 90 kg and has been prescribed, $1.5 \mathrm{mg} / \mathrm{kg}$ dose of drug X . How many mg will he need for a single dose? [9.37 pts]
8. A female patient has been prescribed Chloramphenicol, 40 mg kgldose. She weighs 78 kg . How many grams of the drug does she require for each dose? $[9.37 \mathrm{pts}]$
9. A patient who is 5 years old and weighs 20 kg has been prescribed 5 mog per kilogrth body weight of Digoxin elixir. The digoxin elixir is available as 50 mcg per ml . 19.37 $\mathrm{pts}]$ a). How many mog does the patient require pet single does? b). What volume will you give the patient at each does? What is his total daily dose? $[9.37 \mathrm{pts}]$
11. A patient has been prescribed Cephalothin. $20 \mathrm{mg} \mathrm{kg} T[\mathrm{Ds}$ . She weigts 67 kg , whit will be her total daily dose in grams? [9.37 pts]

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Problem 950

Q. 3 ( 5 marks): Sands Corporation processes sugar beets that it purchases from farmers. Sugar beets are processed in batches, A batch of sugar beets costs \ $50 to buy from farmers and \$15 to crush in the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for$ \ $20$ or processed further for $\$ 19$ to make the end product industrial fiber that is sold for $\$ 58$ . The beet juice can be sold as is for $\$ 41$ or processed further for $\$ 23$ to make the end product refined sugar that is sold for $\$ 58$ . Required: 1)- Which of the intermediate products should be processed further? 2)- How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?

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Problem 951

C Knowledge Check Question 17
A hardware salesman measures the mass of a box containing 1000 washers. The mass is 0.3932 kg . What is the mass of a single washer in milligrams? Write your answer as a decimal. $\square$ mg

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Problem 952

\text{How much heat is produced when 74 grams of Al react in the following reaction?} \\ 2 \mathrm{Al}(s) + \mathrm{Fe}_{2} \mathrm{O}_{3}(s) \rightarrow 2 \mathrm{Fe}(s) + \mathrm{Al}_{2} \mathrm{O}_{3}(s) \\ \text{Heat of reaction} = -851.5 \, \mathrm{kJ} \\

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Problem 953

Mary's TV uses a perpetual inventory system. The following are three recent merchandising transactions: Mar. 6 Purchased eight TVs from Whosa Industries on account. Invoice price, $\$ 350$ per unit, for a total of $\$ \mathbf{2 , 8 0 0}$ . The terms of purchase were $\mathbf{2 / 1 0 , ~} \mathbf{n} / \mathbf{3 0}$ . Mar. 11 Sold two of these televisions for $\mathbf{\$ 6 0 0}$ cash. Mar. 16 Paid the account payable to Whosa Industries within the discount period. Instructions a. Prepare journal entries to record these transactions assuming that Mary's records purchases of merchandise at:
1. Net cost
2. Gross invoice price b. Assume that Mary's did not pay Whosa Industries within the discount period but instead paid the full invoice price on April 6. Prepare journal entries to record this payment assuming that the original liability had been recorded at:
1. Net cost
2. Gross invoice price c. Assume that you are evaluating the efficiency of Mary's bill-paying procedures. Which accounting method-net cost or gross invoice priceprovides you with the most useful information? Explain.

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Problem 954

In England, people use mile per hour as a unit of speed on roads. In Egypt, we use kilometer per hour on roads. In physics class, students tried to compare the speeds indicated 20 MPH in these signs with the SI unit of speed. Which of students' attempts is correct?
A $-20 \mathrm{~km} / \mathrm{h}>20 \mathrm{MPH}>20 \mathrm{~m} / \mathrm{s}$ B- $20 \mathrm{MPH}>20 \mathrm{~km} / \mathrm{h}>20 \mathrm{~m} / \mathrm{s}$ C. $20 \mathrm{~m} / \mathrm{s}>20 \mathrm{~km} / \mathrm{h}>20 \mathrm{MPH}$
D- $20 \mathrm{~m} / \mathrm{s}>20 \mathrm{MPH}>20 \mathrm{~km} / \mathrm{h}$

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Problem 955

27. One quarter of Ciara's money is equal to twice Jenna's money. What fraction of their total money belongs to Jenna?

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Problem 956

Bookwork code: 3C Calculator not allowed
Over one year, the ratio of footballs to rugby balls produced by a factory was approximately $5: 4$ .
In June, the factory produced 2400 rugby balls. a) Using the information given, how many footballs would you expect the factory to have produced in June? b) Explain why the expected number you calculated may not be the same as the actual number of footballs produced in June. Give at least two reasons.

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Problem 957

26 Een onbekende verbinding heeft een molaire massa $\operatorname{van} 90,1 \mathrm{~g} \mathrm{~mol}^{-1}$ . De samenstelling van deze verbinding wordt in een laboratorium bepaald. De stof blijkt voor 40,0 massa\% uit koolstof te bestaan, voor 6,7 massa\% uit waterstof en voor 53,3 massa\% uit zuurstof. a Bereken hoeveel gram koolstof, waterstof en zuurstof in een mol van de onbekende stof zit.

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Problem 958

Use the equivalent fraction chart to answer questions 1-3. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{12}{|c|}{1} \\ \hline \multicolumn{12}{|c|}{ $\frac{1}{2} \quad \frac{1}{2}$ } \\ \hline \multicolumn{4}{|c|}{ $\frac{1}{3}$ } & \multicolumn{4}{|c|}{ $\frac{1}{3}$ } & \multicolumn{4}{|c|}{ $\frac{1}{3}$ } \\ \hline \multicolumn{3}{|c|}{ $\frac{1}{4}$ } & \multicolumn{3}{|c|}{( $\frac{1}{4}$ } & \multicolumn{3}{|c|}{ $\frac{1}{4}$ } & \multicolumn{3}{|c|}{ $\frac{1}{4}$ } \\ \hline & $\frac{1}{5}$ & & \multicolumn{2}{|l|}{ $\frac{1}{5}$ } & \multicolumn{2}{|r|}{ $\frac{1}{5}$ } & \multicolumn{3}{|c|}{ $\frac{1}{5}$ } & \multicolumn{2}{|l|}{} \\ \hline & $\frac{1}{6}$ & \multicolumn{2}{|r|}{ $\frac{1}{6}$ } & \multicolumn{2}{|r|}{ $\frac{1}{6}$ } & \multicolumn{2}{|r|}{ $\frac{1}{6}$ } & \multicolumn{2}{|r|}{ $\frac{1}{6}$ } & \multicolumn{2}{|r|}{ $\frac{1}{6}$ } \\ \hline $\frac{1}{8}$ & & $\frac{1}{8}$ & $\frac{1}{8}$ & & $\frac{1}{8}$ & $\frac{1}{8}$ & & $\frac{1}{8}$ & $\frac{1}{8}$ & & $\frac{1}{8}$ \\ \hline $\frac{1}{9}$ & & $\frac{1}{9}$ & $\frac{1}{9}$ & $\frac{1}{9}$ & & $\frac{1}{9}$ & $\frac{1}{9}$ & $\frac{1}{9}$ & & $\frac{1}{9}$ & $\frac{1}{9}$ \\ \hline $\frac{1}{12}$ & $\frac{1}{12}$ & ( $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ & $\frac{1}{12}$ \\ \hline \end{tabular}
1 Which fractions are NOT equivalent to $\frac{2}{3}$ ? Circle SEVEN answers. $\square$ $\frac{3}{5}$ $\square$ $\frac{1}{2}$ $\frac{8}{12}$ $\frac{4}{5}$ $\frac{5}{8}$ $\frac{4}{8}$ $\frac{3}{4}$ $\square$ 2 Marquis needs to name all the fractions shown on the chart that are equivalent to $\frac{1}{2}$ . Which list shows these fractions? A $\frac{2}{4}, \frac{3}{6}, \frac{5}{9}, \frac{6}{12}$ B $\frac{2}{4}, \frac{3}{6}, \frac{4}{8}$ C $\frac{3}{6}, \frac{6}{12}$ D $\frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{6}{12}$ 3 Which row of fractions in the fraction chart has no equivalent fractions shown? A The row of thirds (B) The row of fifths
C The row of sixths D The row of ninths

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Problem 959

(II) A lever such as that shown in Fig. 7-20 can be used to lift objects we might not otherwise be able to lift. Show that the ratio of output force, $F_{\mathrm{O}}$ , to input force, $F_{\mathrm{I}}$ , is related to the lengths $\ell_{\mathrm{I}}$ and $\ell_{\mathrm{O}}$ from the pivot by $F_{\mathrm{O}} / F_{\mathrm{I}}=\ell_{\mathrm{I}} / \ell_{\mathrm{O}}$ . Ignore friction and the mass of the lever, and assume the work output equals the work input. (a)
FIGURE 7-20 A lever. Problem 11. (b)

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Problem 960

$\left(0.060 \frac{\mathrm{~N}}{\mathrm{C}^{2} \cdot \mathrm{~m}^{2}}\right) \cdot \square=? \frac{\mathrm{~N}}{\mathrm{mC}^{2} \cdot \mathrm{~m}^{2}}$

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Problem 961

Practice: GCF and LCM - Quiz - Level F
Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.
How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? $\square$ minutes

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Problem 962

4. At a certain location, the solar power per unit area reaching Earth's surface is 200 W/ $\mathrm{m}^{\wedge} 2$ , averaged over a 24 -hour day. If the average power requirement in your home is 3 kW and you can convert solar power to electric power with $10 \%$ efficiency, how large a collector area will you need to meet all your household energy requirements from solar energy? (Will a collector fit in your yard or on your roof? ).

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Problem 963

Monica is a manufacturer of handcrafted wooden signs. The variable cost of each wooden sign Monica produces is $\$ 40$ . Monica sells her wooden signs to a wholesaler at a 50\% margin, who then sells the wooden signs to the retailer at an undisclosed markup(\%). The retailer then adds a 30\% margin and sells the product to the consumer at \$160. Based on this information, what is the markup (\%) of the wholesaler?

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Problem 964

here are 6 red marbles and 8 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to red marbles? (b) What is the ratio of all marbles in the bag to blue marbles?

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Problem 965

Bill and Dan split cows in a 5:7 ratio. If Dan has 42 cows, how many does Bill have, and what’s the total?

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Problem 966

Divide 72 by 5, then divide that result by 7. What is the final answer?

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Problem 967

Divide 72 in the ratio of $5:7$ .

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Problem 968

The lengths of three toy cars are in the ratio $1: 4: 6$ . If the middle car is $12 \mathrm{~cm}$ , find the length of the large car.

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Problem 969

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

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Problem 970

Find the missing servings value in the ratio table given calories: 25, 50, and servings: $\frac{1}{3}$ , 1, $\frac{4}{3}$ .

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Problem 971

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

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Problem 972

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

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Problem 973

Calculate the BMI for weight $38 \mathrm{~kg}$ and height $151 \mathrm{~cm}$ .

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Problem 974

39 feet of snow melts into how many inches of water? Use the ratio 1.5 feet snow = 2 inches water. Round to the nearest tenth.

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Problem 975

If a store sells 129 ice cream cones, how many are vanilla if 1 in 3 buys vanilla? Round to the nearest whole number.

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Problem 976

If 1 in 3 ice cream buyers chooses vanilla and a store sells 129 cones, how many are vanilla? Round to the nearest whole number.

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Problem 977

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Problem 978

Nick needs to find how much vinegar for 12 cups of olive oil if he uses $\frac{1}{4}$ cup per cup of oil. A. 6 cups B. $2 \frac{1}{2}$ cups C. $5 \frac{1}{4}$ cups D. 3 cups

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Problem 979

Ian's diet is 30% fat, 50% carbs, and 20% protein from 3000 kcal. How many grams of protein is he eating? Options: a) 150 b) 200 c) 300.

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Problem 980

Is Frank's 1,200 calorie diet (20\% carbs) providing at least 130 grams of carbs? Calculate carbs in calories.

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Problem 981

Determine if statements are True or False. Answer examples: 2.1.1 True. Also, categorize ratios/rates and explain.

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Problem 982

Calculate ingredients for 50 meatballs: minced beef, canned tomatoes, and eggs. Compare prices of minced beef at two shops. Determine meatballs needed for 24 and 30 people. Verify R3600 distribution among three children aged 3, 5, and 10 years.

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Problem 983

Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 3.6 centimeters wide. If the student calculators are 255 millimeters tall, how tall is the demonstration calculator? A. 0.036 meter B. 51 meters C. 0.51 meter D. 9.18 meters Reset Next

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Problem 984

6. Fill in the blanks.
1 foot $=$ $\qquad$ inches
1 yard = $\qquad$ feet
1 hour = $\qquad$ minutes
1 day = $\qquad$ hours
1 year = $\qquad$ days
1 year = $\qquad$ weeks
1 dollar = $\qquad$ cents $=$ $\qquad$ dimes $=$ $\qquad$ quarters
1 gallon = $\qquad$ pints
1 gallon = $\qquad$ quarts
1 pound = $\qquad$ ounces

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Problem 985

Choose the correct term to complete each sentence.
1. Addition and subtraction are examples of ? because they undo each other.
2. An equation that is true for every value of the variable is $\mathrm{a}(\mathrm{n})$ ?.
3. A ratio of two equivalent measures given in different units is a(n) $\qquad$
4. On a map, information such as " $1 \mathrm{in} .: 5 \mathrm{mi}$ " is the ? of the map.
5. In the proportion $\frac{a}{b}=\frac{c}{d}$ , $a d$ and $b c$ are the ?.

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Problem 986

Evaluate the following e $\begin{array}{c} \frac{2.4 \times 10^{-4}}{8 \times 10^{-3}} \\ \frac{2.4 \times 10^{-4}}{8 \times 10^{-3}}= \end{array}$

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Problem 987

[*].] An ash tree is 9 meters tall and its shadow is 12 meters long. A nearby lemon tree is 6 meters tall. How long is the lemon tree's shadow? ） Write your answer as a whole number or a decimal. Do not round. \& $\square$ meters Submit

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Problem 988

Fill in the blank to make the two fractions equivalent. $\frac{\square}{24}=\frac{5}{8}$

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Problem 989

Solve the proportion: 9.75: $x:: 12.75: 4.25$

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Problem 990

A. $\frac{9}{11}$ B. $\frac{11}{9}$
9. $a: b: c: d=2: 3: 4: 7$ бол $\frac{2 a+3 b}{5 c-d}=$ ?

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Problem 991

A. 101.25 B. 42 C. 110.25
3. Хоёр тооны ялгавар 5-тай тэнцүү бөгөөд эдгээр тоонууд $\frac{1}{3}: \frac{1}{4}$ гэж харьцдаг бол бага тоог ол. D. 18 E. 15 A. 20 B. 16 C. 24 C. 2 D. 1 E. 1.5

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Problem 992

1. Машины үйлдвэр A, В, С, D загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A. 15000 E. 9000 C. 21000 D. 3000 E. 6000

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Problem 993

1. Машины үйлдвэр A, B, C, D загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A 15000 B. 9000 C. 21000 D. 3000 E. 6000

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Problem 994

$\frac{a}{3}=\frac{b}{4}=\frac{c}{5}$ ба $a+b+c=36$ бол $b+c=?$

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Problem 995

VIII. Estimate the quotient of each of the following oy $\mathrm{r}_{0} \mathrm{u}_{\mathrm{n}}$ ing off to its highest place. 1) $398 \div 82$ 2) $786 \div 22$ 3) $3,265 \div 58$ 4) $7,687 \div 43$

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Problem 996

Q1: Suppose Jawwal has debt with a book (face) value of $\$ 10$ million, trading at $95 \%$ of face value. It also has book equity of $\$ 10$ million, and 1 million shares of common stock trading at $\$ 30$ per share. What weights should Kenai use in calculating its WACC

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Problem 997

Pewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

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Problem 998

The ratio of purple cars to red cars in a car park is $89: 53$
Rewrite this as an equivalent ratip of the form $n: 1$ Give any decimals in your answer to 2 d .p.

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Problem 999

Resuelve y contesto: ¿Cuál es el consecuente de una razón geométrica cuyo valor es $4 / 5$ y al antecedente es $68 ?$ Resolución:

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Problem 1000

Solve the dosage by weight conversion problem. Weight 22 pounds. Ordered dose: 33 milligrams per kilogram per day Recommended dose from drug label : 25 - 50 milligrams per kilogram per day in equally divided doses every 8 hours. a) Does the doctor's order fit within the recommended safe guidelines? b) What is the daily dose? c) What is the individual dosage? a) Does the doctor's order fit within the recommended safe guidelines? Yes No

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1 ...7 8 9 10 11 12 13 ...17

Ratios & Proportions

Problem 901

Tran pays \84forgasanddrives84 for gas and drives 84forgasanddrivesm$ miles. a) Find the cost per mile. b) What does "per" mean? c) Test with m=200m = 200m=200. Does it make sense?

Problem 902

Calculate: 405.36 g ÷ 0.57 mL = □\square□ g/mL; 7.808 g/mL × 0.6 mL = □\square□ g; 269.58 g ÷ 0.86 mL = □\square□ g/mL.

Problem 903

Janet's baby weighs 15.0 lbs. How much Amoxicillin (in mg) is needed daily at 30.0 mg/kg? Show all calculations.

Problem 904

Janet's baby weighs 15.0 lbs15.0 \, \text{lbs}15.0lbs. How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for 30 mg/kg30 \, \text{mg/kg}30mg/kg?

Problem 905

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to 2.40 g2.40 \mathrm{~g}2.40 g and salt has 39.33 g39.33 \mathrm{~g}39.33 g sodium/100g?

Problem 906

Problem 907

Find the least common multiple (LCM) of 84 and 24. The LCM is lcm(84,24)\text{lcm}(84, 24)lcm(84,24).

Problem 908

Four friends paid a total of \$50.24 for tickets. What is the cost per ticket for each friend?

Problem 909

A GOLD RECTANGULAR SOLID HAS A DIMENSION OF 8 IN BY 6 IN. IT WEIGHS 250 POUNDS. WHAT IS THE PRESSURE THE SOLID EXERTS ON THE FLOOR BY THE SOLID? EXPRESS YOUR ANSWER IN PASCALS.

Problem 910

b) Liam, Joan and Martha split a bill in the following ratio: \begin{tabular}{|ccccc|} \hline Liam & & Joan & & Martha \\ 4 & ::: & 3 & ::: & 5 \\ \hline \end{tabular}Liam and Joan paid €154€ 154€154 in total between them. Martha paid the rest of the bill. Work out how much Martha paid.

Problem 911

5. An architect wants to make a miniature model of this truck.The scale will be 0.25 inch =2=2=2 feet. What will the height of the truck be in the model? X=X=X= in

Problem 912

[a] Meg and Gabby work at different car washes. Meg worked for 4 hours and earned $31\$ 31$31. Gabby worked for 5 hours and earned $37.50\$ 37.50$37.50. Who makes more money per hour?Meg Gabby

Problem 913

Problem 914

Problem 915

Problem 916

1.(1) 288 dollars must be divided between three children proportionally of their ages. Children are 10, 11 and 15 years old. How many dollars will receive the eldest child?2. (0.5) What percent of 1050 is 70 ?3. (0.5) 80 is 4%4 \%4% of what number?4. (0.5) Find 35 percent of 300

Problem 917

16. Машины үйлдвэр A,B,C,D\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}A,B,C,D загваруудыг 7:5:3:17: 5: 3: 17:5:3:1 харьцаатайгаар үйлдвәрлэдәг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? 900

Problem 918

Problem 919

Problem 920

Problem 921

Problem 922

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs \2.83−1USgallon=3.785litres−2.83 - 1 US gallon = 3.785 litres - 2.83−1USgallon=3.785litres−£ 1=\1.46 1.461.46In which city is petrol better value for money, London or New Yor You must show your working.

Problem 923

Problem 924

Problem 925

Problem 926

Problem 927

4. The pet store had 6 puppies selling for 104 dollars each, and 12 kittens for 24 dollars each. Today, only 3 puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? A. 13 to 3 B. 11 to 1 C. 8 to 7 D. 1 to 3

Problem 928

Una persona mide la temperatura del agua y obtiene 25∘25^{\circ}25∘ C. ¿Cuál es esta temperatura en grados Fahrenheit?

Problem 929

How many mL of a suspension with 250mg/5.0 mL250 \mathrm{mg}/5.0 \mathrm{~mL}250mg/5.0 mL are needed for a 0.125 g0.125 \mathrm{~g}0.125 g dose of ampicillin?

Problem 930

Calculate the molarity of a solution made by dissolving 0.026 g of CuF₂ in 250 mL of water. Round to 2 significant digits.

Problem 931

Calculate the concentration in mol/L of a solution made by dissolving 288 g of FeBr₂ in 400 mL of water. Round to 3 significant figures.

Problem 932

Calculate the concentration in mol/L of a solution made by dissolving 12 g of NaCl in 400 mL of water. Round to 2 sig. figs.

Problem 933

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

Problem 934

Problem 935

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use 13\frac{1}{3}31​ cup butter, 8 oz chocolate, 34\frac{3}{4}43​ cup sugar, 1121 \frac{1}{2}121​ tsp vanilla, 2 eggs, 23\frac{2}{3}32​ cup flour, and find 16\frac{1}{6}61​ cup butter needed.

Problem 936

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

Problem 937

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: 16\frac{1}{6}61​ cup, chocolate: ? ounces.

Problem 938

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is 6.00mg/kg6.00 \mathrm{mg} / \mathrm{kg}6.00mg/kg.

Problem 939

Find the ingredient amounts to make 8 brownies from the following for 16 brownies: - 13\frac{1}{3}31​ cup butter - 3 oz chocolate - 34\frac{3}{4}43​ cup sugar - 1121 \frac{1}{2}121​ tsp vanilla - 2 eggs - 23\frac{2}{3}32​ cup flour. Provide simplified quantities.

Problem 940

With 1 cup of butter, how many brownies can you make from the ingredients for 16 brownies? (Answer as a whole number.)

Problem 941

What is the rate of women who didn't complete 9th 9^{\text {th }}9th grade per 100,000, given 4,421,000 out of 129,262,000129,262,000129,262,000?

Problem 942

How many tablets of Synthroid (50 mcg each) are needed for a dosage of 0.114 mg?

Problem 943

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio 270200\frac{270}{200}200270​.

Problem 944

Calculators cost \$85 per dozen and sell for \$25 for three. Find profit on six dozen calculators: profit is \$\square.

Problem 945

You rent 6 DVDs for a month. Calculate if Option C's \$15.99 streaming is cheaper than renting at \$1.45/night.

Problem 946

Evaluate. 7!6!9!4!\frac{7!6!}{9!4!}9!4!7!6!​Simplify your answer as much as possible.

Tran pays \ $84 for gas and drives$ m$ miles.
a) Find the cost per mile. b) What does "per" mean? c) Test with $m = 200$ . Does it make sense?

Calculate: 405.36 g ÷ 0.57 mL = $\square$ g/mL; 7.808 g/mL × 0.6 mL = $\square$ g; 269.58 g ÷ 0.86 mL = $\square$ g/mL.

Janet's baby weighs $15.0 \, \text{lbs}$ . How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for $30 \, \text{mg/kg}$ ?

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to $2.40 \mathrm{~g}$ and salt has $39.33 \mathrm{~g}$ sodium/100g?

Find the least common multiple (LCM) of 84 and 24. The LCM is $\text{lcm}(84, 24)$ .

b) Liam, Joan and Martha split a bill in the following ratio: \begin{tabular}{|ccccc|} \hline Liam & & Joan & & Martha \\ 4 & $:$ & 3 & $:$ & 5 \\ \hline \end{tabular}
Liam and Joan paid $€ 154$ in total between them. Martha paid the rest of the bill. Work out how much Martha paid.

5. An architect wants to make a miniature model of this truck.
The scale will be 0.25 inch $=2$ feet. What will the height of the truck be in the model? $X=$ in

[a] Meg and Gabby work at different car washes. Meg worked for 4 hours and earned $\$ 31$ . Gabby worked for 5 hours and earned $\$ 37.50$ . Who makes more money per hour?
Meg Gabby

1.(1) 288 dollars must be divided between three children proportionally of their ages. Children are 10, 11 and 15 years old. How many dollars will receive the eldest child?
2. (0.5) What percent of 1050 is 70 ?
3. (0.5) 80 is $4 \%$ of what number?
4. (0.5) Find 35 percent of 300

16. Машины үйлдвэр $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвәрлэдәг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? 900

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs \ $2.83 - 1 US gallon = 3.785 litres -$ £ 1=\ $1.46$
In which city is petrol better value for money, London or New Yor You must show your working.

Una persona mide la temperatura del agua y obtiene $25^{\circ}$ C. ¿Cuál es esta temperatura en grados Fahrenheit?

How many mL of a suspension with $250 \mathrm{mg}/5.0 \mathrm{~mL}$ are needed for a $0.125 \mathrm{~g}$ dose of ampicillin?

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is $6.00 \mathrm{mg} / \mathrm{kg}$ .

Find the ingredient amounts to make 8 brownies from the following for 16 brownies:
- $\frac{1}{3}$ cup butter - 3 oz chocolate - $\frac{3}{4}$ cup sugar - $1 \frac{1}{2}$ tsp vanilla - 2 eggs - $\frac{2}{3}$ cup flour.
Provide simplified quantities.

What is the rate of women who didn't complete $9^{\text {th }}$ grade per 100,000, given 4,421,000 out of $129,262,000$ ?

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio $\frac{270}{200}$ .

Evaluate. $\frac{7!6!}{9!4!}$
Simplify your answer as much as possible.

C Knowledge Check Question 17
A hardware salesman measures the mass of a box containing 1000 washers. The mass is 0.3932 kg . What is the mass of a single washer in milligrams? Write your answer as a decimal. $\square$ mg

$\left(0.060 \frac{\mathrm{~N}}{\mathrm{C}^{2} \cdot \mathrm{~m}^{2}}\right) \cdot \square=? \frac{\mathrm{~N}}{\mathrm{mC}^{2} \cdot \mathrm{~m}^{2}}$

Divide 72 in the ratio of $5:7$ .

The lengths of three toy cars are in the ratio $1: 4: 6$ . If the middle car is $12 \mathrm{~cm}$ , find the length of the large car.

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

Find the missing servings value in the ratio table given calories: 25, 50, and servings: $\frac{1}{3}$ , 1, $\frac{4}{3}$ .

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

Calculate the BMI for weight $38 \mathrm{~kg}$ and height $151 \mathrm{~cm}$ .