Ratios & Proportions

Problem 1001

1 Complete the conversions. 1 metre $=$ $\qquad$ centimetres
1 litre = $\qquad$ millilitres $3 \mathrm{~cm}=$ $\qquad$ mm

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Problem 1002

\begin{array}{|c|c|} \hline \multicolumn{2}{|c|}{1 \text{ kg}} \\ \hline \text{g} & \ldots \text{ g} \\ \hline \end{array}
Complete the bar model. 1 kg equals to how many grams?

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Problem 1003

g) Of the $\$ 500000$ paid for the property, $\$ 150000$ was for the block of land, and the rest was for building the house. Find the ratio of land to total property price.

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Problem 1004

\begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & $1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz}$ \\ pint & pt & $1 \mathrm{pt}=2 \mathrm{c}$ \\ \hline quart & qt & $1 \mathrm{qt}=2 \mathrm{pt}$ \\ gallon & gal & $1 \mathrm{gal}=4 \mathrm{qt}$ \end{tabular}
Fill in the blanks. $\begin{array}{l} 8 \mathrm{qt}=\llbracket \mathrm{pt} \\ 10 \mathrm{c}=\square \mathrm{pt} \end{array}$

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Problem 1005

Last month, a coral reef grew 4000 millimeters taller. Use the facts to find how much this is in meters. \begin{tabular}{|r|l|} \hline \multicolumn{2}{|c|}{ Conversion facts for length } \\ \hline 1000 millimeters $(\mathrm{mm})$ & $=1$ meter $(\mathrm{m})$ \\ \hline 100 centimeters $(\mathrm{cm})$ & $=1$ meter $(\mathrm{m})$ \\ \hline 10 decimeters $(\mathrm{dm})$ & $=1$ meter $(\mathrm{m})$ \\ \hline 1 dekameter $(\mathrm{dam})$ & $=10$ meters $(\mathrm{m})$ \\ \hline 1 hectometer $(\mathrm{hm})$ & $=100$ meters $(\mathrm{m})$ \\ \hline 1 kilometer $(\mathrm{km})$ & $=1000$ meters $(\mathrm{m})$ \\ \hline \end{tabular} $\square$ m

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Problem 1006

Here are some facts about units of weight. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline ounce & oz & \\ \hline pound & lb & $1 \mathrm{lb}=16 \mathrm{oz}$ \\ \hline ton & T & $1 \mathrm{~T}=2000 \mathrm{lb}$ \\ \hline \end{tabular}
Fill in the blanks. $\begin{aligned} 6 \mathrm{lb} & =\llbracket \mathrm{oz} \\ 8000 \mathrm{lb} & =\square \mathrm{T} \end{aligned}$

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Problem 1007

9 Express each of the following as a simplified rate. a 180 students on 3 buses b $\$ 5.60$ for 4 kg c 186 km in $2 \frac{1}{2}$ hours $5: 2$
10 Find the average rate for each situation. a Thelma drove 8000 km in 50 days b Callum saved $\$ 1250$ in 6 months c. Ainslie grew 20 cm in $2 \frac{1}{2}$ years
11 Who earns the most, and by how much, if Kelly is paid $\$ 96570$ a year and Todd earns $\$ 7985$ each month?
Which is faster $70 \mathrm{~km} / \mathrm{h}$ or $21 \mathrm{~m} / \mathrm{s}$ ?

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Problem 1008

Express each rate in simplest form. a 10 km in 2 hours b $\$ 650$ for 13 hours c 2800 km in 20 days

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Problem 1009

$\angle p$ ts
Suppose there are 230.0 grams of water in a calorimeter, and the temperature increases from 52.1 degrees C to 57.2 degrees C . How much heat was released by the reaction that occurred in the calorimeter?
The heat capacity of water is $4.184 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ . You should record your answer in kJ as only a positive number, with the correct number of significant digits. For example, if you calculate that the amount of heat released was 8,413 J and that the answer should have 3 significant digits, you would enter " 8.41 " in the box below. $\square$

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Problem 1010

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator $0.42: 0.30$

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Problem 1011

Hong runs 7 miles in 38 minutes. How many minutes does he take per mile?

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Problem 1012

Answer each part. If necessary, round your answers to the nearest hundredth. (a) Hong runs 7 miles in 38 minutes. How many minutes does he take per mile?

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Problem 1013

(b) It takes 98 pounds of seed to completely plant an 11-acre field. How many acres can be planted per pound of seed?

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Problem 1014

(b) It takes 87 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

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Problem 1015

Julie is visiting family in Oregon, USA. A thermometer outside the house reads $42^{\circ}$ F. What is tho tempera-ture in degrees Celsius? a. $\quad-1.4^{\circ} \mathrm{C}$ c. $\quad 5.6^{\circ} \mathrm{C}$ b. $\quad 17.6^{\circ} \mathrm{C}$ d. $\quad 10.6^{\circ} \mathrm{C}$

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Problem 1016

A chocolate chip cookie recipe requires two and one half cups of flour to one cup of chocolate chips. If three and one third cups of flour is used, what quantity of chocolate chips will be needed, according to the recipe? $\square$

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Problem 1017

Question 11 Which open array model helps solve $210 \div 6$ ? \begin{tabular}{|c|c|c|} \hline & \multirow[b]{3}{}{ $\begin{array}{r} 10 \\ \rightarrow \quad 10 \end{array}$ } & 6 \\ \hline \multirow{4}{}{210} & & 60 \\ \hline & & 60 \\ \hline & 10 & 60 \\ \hline & 5 & 30 \\ \hline \end{tabular}
B
C
D

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Problem 1018

Convert 1.50 miles to inches using: 1 mile = 5280 feet, 1 foot = 12 inches.

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Problem 1019

What is the conversion factor to change 24 inches into feet?

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Problem 1020

Explain how to represent division with 2-digit divisors in math problems.

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Problem 1021

Kenny jars 12 liters in 6 days. How many days for 20 liters? Use unit rates to find the answer.

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Problem 1022

Ling made 40 kg of dough in 10 hours. How much dough for 11 hours? Use unit rates to solve.

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Problem 1023

Emmet grew 42 plants with 14 seed packets. How many plants can he grow with 16 seed packets? Use unit rates to solve.

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Problem 1024

Hector took 20 quizzes in 2 weeks. How many quizzes will he have taken after 3 weeks? Use unit rates to solve.

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Problem 1025

Barbara walked 15 km in 3 trips. How far will she walk in 5 trips? Use unit rates to find the total kilometers.

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Problem 1026

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: $\frac{58,000,000}{65,000,000}$ .

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Problem 1027

Martha has 17 CDs (5 rock, 3 blues, 6 pop, 3 R&B). What’s the probability of picking a blues CD? Simplify your answer.

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Problem 1028

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

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Problem 1029

Calculate the mass: $(4.3 \frac{\mathrm{mol}}{\mathrm{L}})(0.27 \mathrm{~L})(139.76 \frac{\mathrm{g}}{\mathrm{mol}})=$

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Problem 1030

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

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Problem 1031

Find the absolute and relative error for a measurement of $146 \mathrm{cm}^3$ when the true value is $100 \mathrm{cm}^3$ .

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Problem 1032

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ , and a penny weighs $2.5 \mathrm{~g}$ . Find moles of copper in a penny.

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Problem 1033

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ ; a penny weighs $2.5 \mathrm{~g}$ . Find the mass of 1 mole of copper and how many moles equal a penny's mass.

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Problem 1034

An oxygen atom weighs $2.66 \times 10^{-23} \mathrm{~g}$ ; a glass of water weighs $0.050 \mathrm{~kg}$ .
1. Find the mass of 1 mole of oxygen atoms: $\square \mathrm{g}$ .
2. How many moles of oxygen equal the mass of water? $\square$ .

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Problem 1035

What is the cost of a 2.3 thousand GBP ticket in U.S. dollars at the exchange rate of 1 \$ = 0.82 GBP? Round to the nearest dollar. Show calculations.

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Problem 1036

How many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

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Problem 1037

A clinic gives 1136 vaccine doses in 16.8 hours. How many doses per hour is that? Round to the nearest whole number.

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Problem 1038

Calculate Beatrice's average speed for her journey of $3 \mathrm{~km}$ , walking at $4 \mathrm{~km/h}$ and $4.5 \mathrm{~km/h}$ .

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Problem 1039

Calculate the cost of a night at Barefoot Cay Resort in USD if it costs $3915 HL. Use rates$ 21.4 \mathrm{HL} / 1 $USD and$ 1 / 3915 \mathrm{HL}$. Round to the nearest dollar.

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Problem 1040

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

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Problem 1041

Find the cost of a \$25,000 CAD car in USD at an exchange rate of 1.329 CAD/USD, and compare it to a \$18,813 USD car.

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Problem 1042

A mug contains 220 grams of water. How many moles is this? Use the fractions 220 g/1 and 1 mole/18 g for your calculation. Round to one decimal place.

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Problem 1043

Find two fractions to multiply for the car's cost per mile, using 24 miles/gallon and gas at \$2.30/gallon.

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Problem 1044

A plane travels 4130 miles at 575 miles/hour. Find the time in hours and the two fractions for dimensional analysis.

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Problem 1045

A pool holds $3.5 \times 10^{4}$ gallons. How many hours to fill it with a hose that delivers 630 gallons/hour? Round to whole number.

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Problem 1046

Convert 25,000 CAD to USD using the exchange rate of 1 USD = 1.329 CAD. Identify the two fractions for dimensional analysis.

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Problem 1047

A night at Barefoot Cay Resort costs 3,915 HL. Convert to USD using $1 = 21.4 HL. Round to nearest dollar. Choose two fractions for dimensional analysis.

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Problem 1048

A store got 8,802 golf balls. Which option is possible? A) 517 boxes of 16 B) 486 boxes of 17 C) 522 boxes of 16 D) 489 boxes of 18

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Problem 1049

Video
When Mr. Lloyd preheated his oven, the oven's temperature rose 3 degrees in $\frac{1}{6}$ of a minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number. $\square$ degrees

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Problem 1050

7 Some teachers are running for a charity fundraiser. A science teacher runs 9 laps in 18 minutes. A math teacher runs 12 laps in 36 minutes. Which statements are true? (A) The ratio of laps to minutes for the science teacher is $9: 18$ . (B) The science teacher runs faster than the math teacher per lap. (C) The math teacher runs faster than the science teacher per lap. (D) The ratio for laps to minutes for the math teacher is $12: 36$ . (E) Both teachers run at the same rate.

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Problem 1051

Use cross products to show equality: then $a \times d=b \times c$ .
Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 $\qquad$ 3) 3.2 is to 11 as 16 is to 55

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Problem 1052

1. Based on the following data: \begin{tabular}{lcl} Rental Costs & \multicolumn{2}{c}{ Buying Costs } \\ \begin{tabular}{lr} Annual rent, \\ $\$ 12,600$ \end{tabular} & $\$ 13,880$ & Annual mortgage, \\ \begin{tabular}{l} Insurance, \\ 1,870 \end{tabular} & $225 \quad$ Property taxes, \\ \begin{tabular}{l} Security deposit, \\ costs, 5,400 \end{tabular} & $1,200 \quad$ Down payment/closing \\ & Insurance, & 1,340 \\ & Maintenance, & 2,400 \end{tabular} a. Calculate the cost to rent. b. Calculate the cost to Buy. c. Which would you recommend? Why?

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Problem 1053

Solve Problems with Percent - Instruction - Level F
Jada works a 5-hour shift, or 300 minutes, at a retail store. She gets a 15-minute break during her work shift. Jada wants to know what percent of her work shift the break is.
What fraction of Jada's work shift is her break? $\square$ ?

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Problem 1054

Percent: Fraction: Decimal: $\qquad$ $\qquad$ $\qquad$

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Problem 1055

Amy drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 871 miles?

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Problem 1056

Carmen is on the swim team. Each week she swims a total of 4000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.

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Problem 1057

Kira cut 2 feet of tape. How much is this in inches? Use the table below. Include the correct unit in your answer. \begin{tabular}{|l|l|c|} \hline Unit & Symbol & Fact \\ \hline inch & in & \\ \hline Length & foot & ft \\ yard & yd & $1 \mathrm{ft}=12 \mathrm{in}$ \\ & & $1 \mathrm{yd}=3 \mathrm{ft}$ \\ \hline \end{tabular}

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Problem 1058

Dr. Torres just started an experiment. He will collect data for 5 days. How many hours is this?

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Problem 1059

A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 5 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.

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Problem 1060

A starship is orbiting Cantoria, a large moon of the planet Sylow II. The ship's sensor array detects that the temperature on the surface of the moon is $11.6^{\circ} \mathrm{C}$ . What is this temperature in degrees Fahrenheit ( ${ }^{\circ} \mathrm{F}$ )?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree. ${ }^{\circ} \mathrm{F}$

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Problem 1061

A nurse is to administer 150 mg of a drug intramuscularly. The label on the multidose vials reads $100 \mathrm{mg} / \mathrm{mL}$ . How much would the nurse give?

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Problem 1062

Setting up the math for a one-step quantitative problem $0 / 5$ Yatziri
The average adult heart pumps about $84 . \mathrm{mL} / \mathrm{s}$ of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate $3500 . \mathrm{mL}$ of blood.
Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. $\text { time }=$ $\square$
$\mu$ $\square$

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Problem 1063

3. Mackenzie Insurance Company collected a premium of $\$ 15,000$ for a 1-year insurance policy on May 1. What amount should Mackenzie report as a current liability for Unearned Insurance Revenue at December 31? a. $\$ 0$ . (b.) $\$ 5,000$ . c. $\$ 10,000$ . d. $\$ 15,000$ .

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Problem 1064

Using the Avogadro Number
A virus has a mass of $9.0 \times 10^{-12} \mathrm{mg}$ and an oil tanker has a mass of $3.0 \times 10^{7} \mathrm{~kg}$ . Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. \begin{tabular}{|l|l|} \hline What is the mass of 1 mole of viruses? & \\ Round your answer to 2 significant digits. & \\ \hline \begin{tabular}{l} How many moles of viruses have a mass equal to the mass \\ of an oil tanker? \end{tabular} & \\ Round your answer to 2 significant digits. & \\ \hline \end{tabular}

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Problem 1065

1a. $8 \mathrm{~m}=$ $\qquad$ cm
1b. $37,5 \mathrm{hl}=$ $\qquad$ kl
2a. $9 \mathrm{~m}=$ $\qquad$ cm
2 b. $50 \mathrm{dg}=$ $\qquad$ g
3a. $1 \mathrm{~m}=$ $\qquad$ cm
3b. $9 \mathrm{~L}=$ $\qquad$ ml
4a. 3 dag $=$ $\qquad$ cg
4b. $1 \mathrm{~km}=$ $\qquad$ m
5a. $7 \mathrm{hl}=$ $\qquad$ L
5b. $8980 \mathrm{dm}=$ $\qquad$ hm

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Problem 1066

Carlos had 194 seeds and 11 flower pots. He put the same number of seeds in each flower pot. Which is the best estimate for the number of seeds in each flower pot? (1 point) 10 20 30 40

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Problem 1067

ST3-2 Balance sheet completion using ratios Complete the 2015 balance sheet for O'Keefe Industries using the information that follows it. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{O'Keefe Industries Balance Sheet December 31, 2015} \\ \hline Assets & & Liabilities and Stockholders' Equity & \\ \hline Cash & \$32,720 & Accounts payable & \$120,000 \\ \hline Marketable securities & 25,000 & Notes payable & \\ \hline Accounts receivable & & Accruals & 20,000 \\ \hline Inventories & & Total current liabilities & \\ \hline Total current assets & & Long-term debt & \\ \hline Net fixed assets & & Stockholders' equity & \$600,000 \\ \hline Total assets & \$ & Total liabilities and stockholders' equity & \$ \\ \hline \end{tabular}
2 Financial Tools
The following financial data for 2015 are also available:
1. Sales totaled $\$ 1,800,000$ .
2. The gross profit margin was $25 \%$ .
3. Inventory turnover was 6.0.
4. There are 365 days in the year.
5. The average collection period was 40 days.
6. The current ratio was 1.60 .
7. The total asset turnover ratio was 1.20 .
8. The debt ratio was $60 \%$ .

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Problem 1068

Felipe is making lemonade. He has a container that has a volume of 605 in $^{3}$ to store the lemonade.
Use the table of conversion facts to find out how many gallons of lemonade he should make to completely fill the container.
Round your answer to two decimal places. $\square$ gal
Conversion facts for volume and capacity 1 cubic yard $\left(\mathrm{yd}^{3}\right) \approx 201.97$ gallons (gal) 1 cubic foot $\left(\mathrm{ft}^{3}\right) \approx 7.48$ gallons (gal) 231 cubic inches $\left(\mathrm{in}^{3}\right)=1$ gallon (gal) Note that $\approx$ means "is approximately equal to". For this problem, treat $\approx$ as if it were $=$ .

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Problem 1069

A car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. $\square$

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Problem 1070

The English Channel is the waterway between England and France. It is about 21 kilometers across, and many people have successfully swam across it. In the United States, many pools at gyms are 25 yards long, and 1 lap equals the pool length.
Assuming a person swims in a straight line, how can you calculate the number of complete laps a person must swim in a 25 -yard pool to equal swimrxing across the English Channel?

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Problem 1071

The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & $\square$ \\ \hline \end{tabular}

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Problem 1072

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number. $\square$ feet $=6 \frac{2}{3}$ yards Submit

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Problem 1073

A patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as $500 \mathrm{mg} / 5 \mathrm{~mL}$ .
You will administer $\qquad$ mL to the patient per dose? $\square$ A

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Problem 1074

During the summer, Isabelle sells corn at her family's produce stand. Every morning, she starts with 250 ears of corn. On Saturday, Isabelle sells 150 of the 250 ears of corn. She wants to know what percent of the corn she sold.
Complete the table to show an equivalent ratio where the number of ears at the start is 100 . \begin{tabular}{|c|c|c|} \hline Corn Sold & 150 & \\ \hline Corn at Start & 250 & 100 \\ \hline \end{tabular}

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Problem 1075

Question 13 (1 point) On January 2, 2004, the TSX Composite Index was 8293.70. On January 2, 2009, the TSX Composite Index was 9234.11. By what factor did the index grow from January 2, 2004 to January 2, 2009? A) 10.184 B) 11.339 C) 1.113 D) 0.898 Previous Page Next Page Page 13 of 16 Submit Quiz 12 of 16 questions saved

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Problem 1076

The order is for Cefazolin 450mg IV once daily. Supply and directions: Reconstitution with 10 mL of sterile water for $1 \mathrm{~g} / 10 \mathrm{~mL}$ of solution a) The nurse will reconstitute with $\qquad$ $\mathrm{mL}(\mathrm{s})$ of $\qquad$ solution b) The final concentration is $\qquad$ (include units of measure) c) The volume the nurse will administer is $\qquad$ mL $\begin{array}{l} \text { Blank \# } 1 \\ \text { Blank \# } 2 \\ \text { Blank \# } 3 \\ \text { Blank \# } 4 \end{array}$

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Problem 1077

1. Each bunch of balloons has 3 red balloons and 3 purple balloons. a. Skip-count by threes to find the total number of balloons. b. Complete the statements.
10 threes is $\qquad$ $\qquad$ $\times 3=$ $\qquad$ 5 sixes is $\qquad$ . $\qquad$ $\times 6=$ $\qquad$ c. Use the pictures of balloons to help you complete the statement. 2 groups of $5 \times$ $\qquad$ is the same as $5 \times$ $\qquad$

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Problem 1078

i-Ready Practice: Division Word Problems with Remainders - Quiz — Level D
Lilia uses craft sticks to make stars for an art project. She uses 5 craft sticks for each star, and she has 19 craft sticks. Lilia makes as many stars as she can. How many stars does Lilia make? $19 \div 5$ counters
10
10 $\because: \because$ C
Lilia makes $\square$ stars. Sign out

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Problem 1079

Astronauts on the space station have 1,320 pounds of food. The next food delivery is five days away. How many pounds of food can astronauts eat per day?

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Problem 1080

6. Mrs. Johnson ordered 6 pizzas to be shared by 9 people. Each person will be given an equal amount of pizza. How much pizza will each person receive?

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Problem 1081

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute? $\square$ jumping jacks

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Problem 1082

b. $36 \mathrm{ft} .=$ $\qquad$ yd.

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Problem 1083

1. Holsteins to Jersey
4. Holsteins to non-Holsteins
5. Holsteins to
Express the answers to the following questions in lowest terms using the word "to."
1. A school has 2,600 students and 104 teachers. What is the student-to-teacher ratio?
8. A store has 10 departments and 48 employees. What is
9. A department store ordered 80 regular-length sular lengths to talls? regular lengths to both other lengths combined? regular
10. Some concrete was mixed using 550 lb . of cement and $1,650 \mathrm{lb}$ , of sand. What was the ratio of cement to sand?
11. If concrete is mixed using $1,650 \mathrm{lb}$ . of sand and 330 lb . of water, what is the ratio of sand to water?
12. Mr. and Mrs. Jackson have fourteen grandchildren. Find the ratio of girls to boys if there are four more girls than boys.

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Problem 1084

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

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Problem 1085

Find the unit rate.
23. 70 words in 2 min .
25. 580 mi . on 29 gal .
27. $\$ 2.95$ for 5 cans
29. 5 lawns for $\$ 90$
24. 270 acres in 3 days
26. 130 yd. on 25 carries
28. $\$ 75$ for 30 lb .
30. $\$ 306$ payment for 36 hr .

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Problem 1086

31. At the rate of 3 almonds per bar, how many candy bars could be made using 140 almonds?
32. At an average rate of 47 mi ./hr., how far can you go in 5 hr .?
33. If you can travel 462 mi . using 22 gal. of gas, what is the mileage rate?

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Problem 1087

35. A seamstress made five dresses using 8 yd . of trim. Find the rate of trim per dress.
36. A farmer took five loads of wheat to the elevator and was credited with $1,060 \mathrm{bu}$ number of bushels per load?

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Problem 1088

Kimmy bought a 5 -kilogram can of peanuts for $\$ 4.50$ . What is the unit price?
A $\$ 0.05 / \mathrm{kg}$ C $\$ 0.50 / \mathrm{kg}$
B $\$ 0.45 / \mathrm{kg}$ D $\$ 0.90 / \mathrm{kg}$ A B C D

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Problem 1089

Which of the following ratios is equivalent to 2:3? A $\frac{1}{2}$ C $\frac{12}{13}$ B $\frac{4}{6}$ D $\frac{20}{25}$

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Problem 1090

stion \#13:
Anna can buy 3 sweatshirts for a total of $\$ 45$ . How much would it cost if she were to buy 5 sweatshirts at the same price?
A $\$ 15$ C $\$ 60$ B $\$ 45$ D $\$ 75$
A
B ct D

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Problem 1091

Question \#14: Mks. Reznik can jog $\$ 000$ feet in 5 minutes. How many feet can she jog in 8 minutes?

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Problem 1092

13. There are 264 children going on a field trip. Are 5 buses enough if each bus holds 52 children? Tell how you decided.
Think about what information in the problem you need to compare.

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Problem 1093

14. Higher Order Thinking Ginny earned $\$ 49.50$ for 6 hours of gardening and $\$ 38.60$ for 4 hours of babysitting. For which job did she earn more money per hour? How much more per hour did she earn? Explain how you found the answers.

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Problem 1094

5. 8 liters $\approx$ $\qquad$ quarts 1 liter $\approx 1.06$ quarts

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Problem 1095

If Lourdes buys 12 packs of paper in 3-packs at \$10.50 each, how much more does she spend than buying 4-packs at \$13.50?

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Problem 1096

Grant can buy 6-packs for \$2.10 or 9-packs for \$2.88. How much more will he spend on 18 balls if he buys only 6-packs?

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Problem 1097

Simone wants 15 tickets. How much more will she spend buying 3-ticket packs at $\$ 6.25$ each instead of 5-ticket packs at $\$ 8.75$ ?

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Problem 1098

If a group plays 4 games, how much more do they spend buying individually at \$4.40 each vs. 2-game packs at \$8.40?

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Problem 1099

Multiply: 4 yd $1 \mathrm{ft} \times 8$

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Problem 1100

Determine if the following statements are True or False about unit rates: a. The ratio $\frac{3}{8}$ to $\frac{1}{2}$ has a unit rate of $\frac{3}{16}$ . b. The ratio $9: \frac{1}{6}$ has a unit rate of 54. c. The ratio $\frac{2}{5}: \frac{1}{4}$ has a unit rate of $\frac{8}{5}$ . d. The ratio $5 \frac{1}{2}: 1 \frac{1}{2}$ has a unit rate of $3 \frac{2}{3}$ .

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1 ...8 9 10 11 12 13

Ratios & Proportions

Problem 1001

1 Complete the conversions. 1 metre === \qquad centimetres1 litre = \qquad millilitres 3 cm=3 \mathrm{~cm}=3 cm= \qquad mm

Problem 1002

\begin{array}{|c|c|} \hline \multicolumn{2}{|c|}{1 \text{ kg}} \\ \hline \text{g} & \ldots \text{ g} \\ \hline \end{array}Complete the bar model. 1 kg equals to how many grams?

Problem 1003

g) Of the $500000\$ 500000$500000 paid for the property, $150000\$ 150000$150000 was for the block of land, and the rest was for building the house. Find the ratio of land to total property price.

Problem 1004

Problem 1005

Problem 1006

Problem 1007

Problem 1008

Express each rate in simplest form. a 10 km in 2 hours b $650\$ 650$650 for 13 hours c 2800 km in 20 days

Problem 1009

Problem 1010

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator 0.42:0.300.42: 0.300.42:0.30

Problem 1011

Hong runs 7 miles in 38 minutes. How many minutes does he take per mile?

Problem 1012

Answer each part. If necessary, round your answers to the nearest hundredth. (a) Hong runs 7 miles in 38 minutes. How many minutes does he take per mile?

Problem 1013

(b) It takes 98 pounds of seed to completely plant an 11-acre field. How many acres can be planted per pound of seed?

Problem 1014

(b) It takes 87 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Problem 1015

Problem 1016

A chocolate chip cookie recipe requires two and one half cups of flour to one cup of chocolate chips. If three and one third cups of flour is used, what quantity of chocolate chips will be needed, according to the recipe? □\square□

Problem 1017

Problem 1018

Convert 1.50 miles to inches using: 1 mile = 5280 feet, 1 foot = 12 inches.

Problem 1019

What is the conversion factor to change 24 inches into feet?

Problem 1020

Explain how to represent division with 2-digit divisors in math problems.

Problem 1021

Kenny jars 12 liters in 6 days. How many days for 20 liters? Use unit rates to find the answer.

Problem 1022

Ling made 40 kg of dough in 10 hours. How much dough for 11 hours? Use unit rates to solve.

Problem 1023

Emmet grew 42 plants with 14 seed packets. How many plants can he grow with 16 seed packets? Use unit rates to solve.

Problem 1024

Hector took 20 quizzes in 2 weeks. How many quizzes will he have taken after 3 weeks? Use unit rates to solve.

Problem 1025

Barbara walked 15 km in 3 trips. How far will she walk in 5 trips? Use unit rates to find the total kilometers.

Problem 1026

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: 58,000,00065,000,000\frac{58,000,000}{65,000,000}65,000,00058,000,000​.

Problem 1027

Martha has 17 CDs (5 rock, 3 blues, 6 pop, 3 R&B). What’s the probability of picking a blues CD? Simplify your answer.

Problem 1028

Find the density of an object with a volume of 17 mL17 \mathrm{~mL}17 mL and a mass of 212 g212 \mathrm{~g}212 g.

Problem 1029

Calculate the mass: (4.3molL)(0.27 L)(139.76gmol)=(4.3 \frac{\mathrm{mol}}{\mathrm{L}})(0.27 \mathrm{~L})(139.76 \frac{\mathrm{g}}{\mathrm{mol}})=(4.3Lmol​)(0.27 L)(139.76molg​)=

Problem 1030

Calculate (2.40gmL)(1 mL10−3 L)(116.86gmol)\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}(116.86molg​)(2.40mLg​)(10−3 L1 mL​)​.

Problem 1031

Find the absolute and relative error for a measurement of 146cm3146 \mathrm{cm}^3146cm3 when the true value is 100cm3100 \mathrm{cm}^3100cm3.

Problem 1032

A copper atom weighs 1.06×10−22 g1.06 \times 10^{-22} \mathrm{~g}1.06×10−22 g, and a penny weighs 2.5 g2.5 \mathrm{~g}2.5 g. Find moles of copper in a penny.

Problem 1033

A copper atom weighs 1.06×10−22 g1.06 \times 10^{-22} \mathrm{~g}1.06×10−22 g; a penny weighs 2.5 g2.5 \mathrm{~g}2.5 g. Find the mass of 1 mole of copper and how many moles equal a penny's mass.

Problem 1034

An oxygen atom weighs 2.66×10−23 g2.66 \times 10^{-23} \mathrm{~g}2.66×10−23 g; a glass of water weighs 0.050 kg0.050 \mathrm{~kg}0.050 kg. 1. Find the mass of 1 mole of oxygen atoms: □g\square \mathrm{g}□g.2. How many moles of oxygen equal the mass of water? □\square□.

Problem 1035

What is the cost of a 2.3 thousand GBP ticket in U.S. dollars at the exchange rate of 1 \$ = 0.82 GBP? Round to the nearest dollar. Show calculations.

Problem 1036

How many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

Problem 1037

A clinic gives 1136 vaccine doses in 16.8 hours. How many doses per hour is that? Round to the nearest whole number.

Problem 1038

Calculate Beatrice's average speed for her journey of 3 km3 \mathrm{~km}3 km, walking at 4 km/h4 \mathrm{~km/h}4 km/h and 4.5 km/h4.5 \mathrm{~km/h}4.5 km/h.

Problem 1039

Calculate the cost of a night at Barefoot Cay Resort in USD if it costs 3915HL.Userates3915 HL. Use rates 3915HL.Userates21.4 \mathrm{HL} / 1USDand USD and USDand1 / 3915 \mathrm{HL}$. Round to the nearest dollar.

Problem 1040

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use 25000CAD25000 \mathrm{CAD}25000CAD and 1USD/1.329CAD1 \mathrm{USD} / 1.329 \mathrm{CAD}1USD/1.329CAD. Round to the nearest dollar.

Problem 1041

Find the cost of a \$25,000 CAD car in USD at an exchange rate of 1.329 CAD/USD, and compare it to a \$18,813 USD car.

Problem 1042

A mug contains 220 grams of water. How many moles is this? Use the fractions 220 g/1 and 1 mole/18 g for your calculation. Round to one decimal place.

Problem 1043

Find two fractions to multiply for the car's cost per mile, using 24 miles/gallon and gas at \$2.30/gallon.

1 Complete the conversions. 1 metre $=$ $\qquad$ centimetres
1 litre = $\qquad$ millilitres $3 \mathrm{~cm}=$ $\qquad$ mm

\begin{array}{|c|c|} \hline \multicolumn{2}{|c|}{1 \text{ kg}} \\ \hline \text{g} & \ldots \text{ g} \\ \hline \end{array}
Complete the bar model. 1 kg equals to how many grams?

g) Of the $\$ 500000$ paid for the property, $\$ 150000$ was for the block of land, and the rest was for building the house. Find the ratio of land to total property price.

Express each rate in simplest form. a 10 km in 2 hours b $\$ 650$ for 13 hours c 2800 km in 20 days

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator $0.42: 0.30$

A chocolate chip cookie recipe requires two and one half cups of flour to one cup of chocolate chips. If three and one third cups of flour is used, what quantity of chocolate chips will be needed, according to the recipe? $\square$

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: $\frac{58,000,000}{65,000,000}$ .

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

Calculate the mass: $(4.3 \frac{\mathrm{mol}}{\mathrm{L}})(0.27 \mathrm{~L})(139.76 \frac{\mathrm{g}}{\mathrm{mol}})=$

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

Find the absolute and relative error for a measurement of $146 \mathrm{cm}^3$ when the true value is $100 \mathrm{cm}^3$ .

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ , and a penny weighs $2.5 \mathrm{~g}$ . Find moles of copper in a penny.

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ ; a penny weighs $2.5 \mathrm{~g}$ . Find the mass of 1 mole of copper and how many moles equal a penny's mass.

An oxygen atom weighs $2.66 \times 10^{-23} \mathrm{~g}$ ; a glass of water weighs $0.050 \mathrm{~kg}$ .
1. Find the mass of 1 mole of oxygen atoms: $\square \mathrm{g}$ .
2. How many moles of oxygen equal the mass of water? $\square$ .

Calculate Beatrice's average speed for her journey of $3 \mathrm{~km}$ , walking at $4 \mathrm{~km/h}$ and $4.5 \mathrm{~km/h}$ .

Calculate the cost of a night at Barefoot Cay Resort in USD if it costs $3915 HL. Use rates$ 21.4 \mathrm{HL} / 1 $USD and$ 1 / 3915 \mathrm{HL}$. Round to the nearest dollar.

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

A pool holds $3.5 \times 10^{4}$ gallons. How many hours to fill it with a hose that delivers 630 gallons/hour? Round to whole number.

Video
When Mr. Lloyd preheated his oven, the oven's temperature rose 3 degrees in $\frac{1}{6}$ of a minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number. $\square$ degrees

Use cross products to show equality: then $a \times d=b \times c$ .
Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 $\qquad$ 3) 3.2 is to 11 as 16 is to 55

Solve Problems with Percent - Instruction - Level F
Jada works a 5-hour shift, or 300 minutes, at a retail store. She gets a 15-minute break during her work shift. Jada wants to know what percent of her work shift the break is.
What fraction of Jada's work shift is her break? $\square$ ?

Percent: Fraction: Decimal: $\qquad$ $\qquad$ $\qquad$

A nurse is to administer 150 mg of a drug intramuscularly. The label on the multidose vials reads $100 \mathrm{mg} / \mathrm{mL}$ . How much would the nurse give?

A car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. $\square$

The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent ratio. \begin{tabular}{|l|l|l|} \hline Shells & 9 & 36 \\ \hline Driftwood & 3 & $\square$ \\ \hline \end{tabular}

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number. $\square$ feet $=6 \frac{2}{3}$ yards Submit

A patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as $500 \mathrm{mg} / 5 \mathrm{~mL}$ .
You will administer $\qquad$ mL to the patient per dose? $\square$ A