Ratios & Proportions

Problem 1501

Convert 7 kilometers to miles using given conversion factors. Round to the nearest hundredth.

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Problem 1502

How many atoms are in 0.525 moles of copper, knowing 1 mole has $6.02 \times 10^{23}$ atoms?

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Problem 1503

How long to ski 36 miles at 3 miles per 30 minutes?

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Problem 1504

Find the mass of 100.0 mL of table salt, $\mathrm{NaCl}$ , with a density of $2.16 \mathrm{~g/mL}$ .

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Problem 1505

Calculate the energy to power a 75-watt bulb for 4.0 h, given 1.0 h requires 260 kJ.

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Problem 1506

How many kg of oil are needed to heat 190 kg of water from 28°C to 100°C, given $1 \mathrm{lb}=454 \mathrm{g}$ ?

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Problem 1507

If burning $3500 \mathrm{kcal}$ equals losing $1.0 \mathrm{lb}$ , how long for Charles to lose $5.0 \mathrm{lb}$ ?

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Problem 1508

Gwendolyn's hotdog is 9 units long on a scale of 1 unit = 10 cm. What is its actual length in cm?

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Problem 1509

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class? $\square$ poses

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Problem 1510

13. Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed? 5.NSO.2.2 Ⓐ 7 cabins Ⓑ 8 cabins Ⓒ 9 cabins Ⓓ 10 cabins

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Problem 1511

6) Are these proportional? (yes or no) a. $\frac{2}{3}, \frac{13}{18}$ $\qquad$ b. $\frac{9}{12} \quad \frac{15}{20}$ $\qquad$

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Problem 1512

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?
The amount of compensation is \$$\boxed{}$.

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Problem 1513

b. $(3,0)$ c. $(-5,-4)$ 8.
Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

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Problem 1514

Wild grove Furniture needs to Ship $6 b 1$ couches across the country. if they an fit 14 wuches in each truck, how many couches will be in the partilly full truch?

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Problem 1515

Evaluate. $\frac{6!4!}{5!2!}$
Simplify your answer as much as possible. $\square$ $\frac{\square}{\square}$
? 囦 $\square$ 回 Aa

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Problem 1516

22. Shelby drew a map of the Appalachian Trail using the scale 5 centimeters equals 400 kilometers. The map shows the Appalachian Trail to be 43.75 centimeters. What is the actual length of the Appalachion Trail?

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Problem 1517

Suppose each license plate in a certain state has three digits followed by three letters. The digits 4 and 5 are not used. So, there are 26 letters Españo and 8 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format? $\square$ license plates

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Problem 1518

2. Spencer purchased 54 tickets at a local fair and paid \$108. Which rate best represents the price per ticket Spencer paid at the fair? A. 54 tickets per dollar B. 2 dollars per ticket C. 108 dollars per ticket D. 2 tickets per dollar

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Problem 1519

Mrs. Huynh bought a bag of 3 dozen toy animals as party favors for her son's birthday party. The bag of toy animals cost $\$ 28.97$ . Estimate the price of each toy animal.

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Problem 1520

Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day. a. Estimate how many gallons he drank in one day.

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Problem 1521

A 15-day vitamin supply costs \$1.62. Find the daily cost in cents, rounded to the nearest tenth.

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Problem 1522

Calculate the price per diaper in cents for Brand A (32 diapers, \$10.49) and Brand B (45 diapers, \$13.99). Round to the nearest tenth. Which is cheaper?

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Problem 1523

A car gets 19.8 miles per gallon and has 7.3 gallons. How far can it travel before running out of gas? Round to the nearest mile.

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Problem 1524

A car gets 25 miles per gallon. How many km can it travel on 1 L of gasoline? Answer: $11 \mathrm{~km} / \mathrm{L}$ .
A heart beats 70 times per minute. How long for 3 million beats? Answer: 30 days.
How many drops of milk are in 1 gallon?

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Problem 1525

Which expression calculates the particles in $2.0 \mathrm{~g}$ of $\mathrm{He}$ ? Options include:
1. $\left(\frac{2.0 \mathrm{~g}}{4.0 \mathrm{~g} / \mathrm{mol}}\right) \times 6.02 \times 10^{23}$
2. $\frac{6.02 \times 10^{23} \text{ particles}}{4.0 \mathrm{~g} / \mathrm{mol}}$
3. $\left(\frac{4.0 \mathrm{~g} / \mathrm{mol}}{2.0 \mathrm{~g}}\right) \times 6.02 \times 10^{23}$
4. $\frac{6.02 \times 10^{23} \mathrm{particles}}{2.0 \mathrm{~g}}$

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Problem 1526

Which expression calculates the number of particles in 2.0 g of He? Options:
1. $\left(\frac{2.0 \mathrm{~g}}{4.0 \mathrm{~g} / \mathrm{mol}}\right) \frac{6.02 \times 10^{23} \text { particles }}{1 \mathrm{~mol}}$
2. $\frac{6.02 \times 10^{23} \text { particles } / \mathrm{mol}}{4.0 \mathrm{~g} / \mathrm{mol}}$
3. $\left(\frac{4.0 \mathrm{~g} / \mathrm{mol}}{2.0 \mathrm{~g}}\right) \frac{6.02 \times 10^{23} \mathrm{particles}}{1 \mathrm{~mol}}$
4. $\frac{6.02 \times 10^{23} \mathrm{particles} / \mathrm{mol}}{2.0 \mathrm{~g}}$

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Problem 1527

Find the molarity of the KCl solution with 1.5 g in 50 mL of solution.

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Problem 1528

Calculate the molarity of a solution made by dissolving $1.26 \mathrm{gm} \mathrm{AgNO}_{3}$ in $250 \mathrm{~mL}$ . How many mmoles of AgNO3?

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Problem 1529

Estimate the total cost using: (Rate) $\times($ Items $)+($ Fee $)=$ Total. For 10 items at \$21 each and a \$14.50 fee, find Total \$ (\#\#\#.\#\#).

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Problem 1530

How many servings can be made with 1 gallon of milk if $1 \frac{1}{4}$ cups are used for 10 servings?

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Problem 1531

A recipe uses $1 \frac{1}{4}$ cups of milk for 10 servings. How many servings can 1 gallon of milk make? Show your work.

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Problem 1532

Simplify the expression: $\frac{12 \text{ blurts }}{6 \text{ chards }} \cdot \frac{7 \text{ vipes }}{5 \text{ blurts }} \cdot \frac{10 \text{ freeps }}{5 \text{ vipes }}$ .

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Problem 1533

Rubio walks to a friend's house 1 mile away at $\frac{2}{3}$ mile in 16 minutes. How long to reach his friend's?

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Problem 1534

4. Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day, a. Estimate how many gallons he drank in one day. b. Estimate how many gallons he drankin one week! 56 bays/9

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Problem 1535

13. The ratio of students to teachers at a school is $19: 1$ . How many students are there in each total number of people? a. 100 people b. 280 people c. 440 people d. 760 people
14. You spend 90 minutes practicing flip tricks and slides on your skate board. The ratio of time spent on flip tricks to time spent on slides is $7: 8$ . How much time do you spend practicing slides?

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Problem 1536

Topic 3 Assessment In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat.
Part A Drag numbers to complete the proportion to represent the percent of strike outs per at-bats. Numbers may be used once or not at all.
112 238
350 $\square$ 350 100

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Problem 1537

In verighl 11, complete the tables with equivalent ratios. (11) A vildiff conservancy maintains a ratio of 2 squirrels for every 8 birds. How many birds would there be if there were 15 squirele?
IF there are 15 squar birds.

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Problem 1538

السؤال الثالث : ( 25 علامة) : يحناتج 6 عمال الى 15 يوم لحفر بنر ماء . كم يحتّاج 10 عمال يعطون بنفس

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Problem 1539

3) On the first day of your sales, you sold 32 orders of queso and chips total to the 90 customers. The ratio for this would be 32:90. On the second day, you sold 17 orders of queso and chips total to 45 customers. The ratio for this is 17:45. Are these ratios equivalent?

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Problem 1540

What is the MD\% if planned MD\ $are$ \ $15,000$ and sales are planned at $\$ 105,000$ ? (A) $7.4 \%$ (B) $5.6 \%$ (C) $14.3 \%$ (D) $12.6 \%$

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Problem 1541

Unit 6 Extra Credit
Solve. Joanna has a digital photograph that is 5 in. by 7 in. She wants to use her computer to make the picture into a thumbnail image that is 1 in. by 1.4 in. What scale factor should she use to make the thumbnail picture? Type here to search $K 12$ 2:40 PM - $x$ 12/13/2024

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Problem 1542

Question 3 (1 point) On September 1 of the current year, Prepaid Rent was debited for $\$ 3,000$ . This amount represents payment for one year of rent, paid in advance. The adjusting entry on December 31 will involve a: debit to Rent Payable for \$1,000 debit to Rent Expense for \$2,000 debit to Rent Expense for \$1,000 debit to Rent Payable for \$2,000

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Problem 1543

Final Exam
Given that it takes an employee about 17 seconds to lift, close, fill, and shelve a jar of peanut butter, calculate how many jars the employee can complete in 1 hour.
About 180 jars About 240 jars About 212 jars About 1020 jars

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Problem 1544

Question 36 (14 points) The financial statements of the news magazine publisher Daily Rain Inc. include the following items: \begin{tabular}{|l|r|r|} \hline Selected Balance Sheet Items & \multicolumn{2}{|c|}{ 2021 } \\ \hline Cash & $\$ 58,500$ & $\$ 35,300$ \\ \hline Short term investements & 24,000 & 16,900 \\ \hline Accounts receivables, net & 26,000 & 60,000 \\ \hline Inventory & 82,600 & 98,000 \\ \hline Prepaid expenses & 23,200 & 18,400 \\ \hline Total: & 231,300 & 248,600 \\ \hline \end{tabular}
Furthermore, the company shows total non-current assets of \ $8,325,000 and$ \ $8,433,000$ for the years 2021 and 2020, respectively. The current liabilities total $\$ 107,600$ and \ $95,800 for the years 2021 and 2020, respectively. Daily Rain Inc. realized net credit sales of$ \ $3,254,000$ and recorded $\$ 2,935,000$ in costs of goods sold for the year 2021.
Requirement 1: Compute the following ratios for the year 2021. Upload your calculations to the dropbox after submitting the online exam.
Blank \#1: Current ratio (round to two digits) Blank \#2: Quick (acid test) ratio (round to two digits) Blank \#3: Inventory turnover (round to one digit) Blank \#4: Accounts receivable turnover (round to one digit)

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Problem 1545

Kwame fills a bird feeder with seeds. As birds visit the feeder, the height of the seeds changes from 13.6 cm to 11.1 cm over a period of $6 \frac{1}{4} \mathrm{~h}$ . What is the average change in the height of the seeds each hour? Show your work.

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Problem 1546

List the metric prefixes kilo, micro, centi, and milli in order from smallest to largest.

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Problem 1547

Rank the metric prefixes: kilo, micro, centi-, and milli-. Remember, micro < centi < milli < kilo.

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Problem 1548

How many days are in 93.0 hours if one day is 24 hours? Calculate: $\frac{93.0}{24}$ .

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Problem 1549

Convert 7860 feet to miles using the fact that 1 mile = 5280 feet. What is the conversion?

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Problem 1550

Calculate the units for the expression: $\frac{\left(2.42 \frac{\mathrm{g}}{\mathrm{mL}}\right)\left(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}}\right)}{\left(23.38 \frac{\mathrm{g}}{\mathrm{mol}}\right)}$ .

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Problem 1551

What are the units of the student's answer for the equation: $393 \frac{\mathrm{mg}}{\mathrm{dL}} \times \frac{10^{-3} \mathrm{~g}}{1 \mathrm{mg}} \times \frac{1 \mathrm{dL}}{10^{-1} \mathrm{~L}} \times \frac{10^{-3} \mathrm{~L}}{1 \mathrm{~mL}} = ?$

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Problem 1552

Everett made $\frac{3}{5}$ of 60 baskets. How many baskets did he make?

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Problem 1553

Fill in the missing values: Ms = 6000000 s, mg = 3 g, 2 km = ? m, 400 cL = ? L.

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Problem 1554

In a class of 36 students, if $\frac{5}{12}$ are girls, how many girls are there?

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Problem 1555

Tom needs to rent tables for 105 people, seating 8 each. How many tables are required? Calculate: $\lceil \frac{105}{8} \rceil$ .

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Problem 1556

Pedro's car holds 18 gallons. How many liters do they need to fill the tank? (1 gallon = 3.78541 liters)

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Problem 1557

Find the distance in miles from the post office to the library if it's 13 blocks away, with each block being 275 m. Round to the nearest tenth.

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Problem 1558

How many one-cup servings are in a 2-liter bottle? Round to the nearest tenth. (1 cup = 0.236 liters)

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Problem 1559

Mila exchanges \$80 USD to euros at an exchange rate of €0.85 per \$1 USD. How many euros does she get?

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Problem 1560

Itsuki wants to exchange ¥ 5,000 JPY to GBP at a rate of £ 0.0071 per ¥ 1. How much will he receive in pounds?

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Problem 1561

Which options are close to 73 hectograms? 257.5 ounces, 0.73 pounds, 16.09 ounces, or 16.09 pounds?

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Problem 1562

If Alex doubles his cookie recipe that needs 3 cups 6 oz of milk, how much milk is required? Options: 6 cups 7 oz, 7 cups 7 oz, 8 cups 1 oz, 7 cups 4 oz.

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Problem 1563

Determine if Tarec's mixture of 7 tablespoons of salt and 200 tablespoons of water meets the ratio of 35 parts salt to 1000 parts water.

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Problem 1564

Select the mixtures that maintain the ratio 1:1:2 for minerals, peat moss, and compost.

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Problem 1565

Units-of-Activity Depreciation A truck acquired at a cost of $\$ 202,800$ has an estimated residual value of $\$ 18,000$ , has an estimated useful life of 440,000 miles, and was driven 113,000 miles during the year. Determine the following. If required, round your answer for the depreciation rate to 2 decimal places. a. The depreciable cost b. The depreciation rate c. The units-of-activity depreciation for the year $\square$ \\square $per mile$ \square$

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Problem 1566

Units-of-Activity Depreciation
A tractor acquired at a cost of $\$ 678,000$ has an estimated residual value of $\$ 48,000$ , has an estimated useful life of 45,000 hours, and was operated 3,330 hours during the year. Determine the following. a. The depreciable cost b. The depreciation rate $\square$ \\square $per hour c. The units-of-activity depreciation for the year$ \square$

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Problem 1567

Cobra Limited, a manufacturing company commenced business on 1st November 2020 and prepares accounts to 31st December each year. He purchased the following assets in the year 2020:Generator GHC180,000, Refrigerator GHC9,000, Laptops GHC12,000, Office Building GHC1,500,000, Toyota Corolla GHC55,000, Fittings & fixtures GHC60,000. It was also found out that the trademark of his company was valued to be GHC50,000 with an estimated useful life of 10 years. What is the written down value for trademark in the 2020 year of assessment? OA GHC49,164 OB. GHC52,242 OC.GHC5,000 OD. GHC49,589

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Problem 1568

Holden Corporation produces three products, with costs and selling prices as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{2}{|l|}{Product A} & \multicolumn{2}{|l|}{Product B} & \multicolumn{2}{|l|}{Product C} \\ \hline Selling price per unit & \$ 30 & 100\% & \$ 20 & 100\% & \$ 15 & 100\% \\ \hline Variable costs per unit & 18 & 60\% & 15 & 75\% & 6 & 40\% \\ \hline Contribution margin per unit & \$ 12 & 40\% & \$ 5 & 25\% & \$ 9 & 60\% \\ \hline \end{tabular}
A particular machine is the bottleneck. On that machine, 3 machine hours are required to produce each unit of Product $A, 1$ hour is required to produce each unit of Product B, and 2 hours are required to produce each unit of Product C. Rank the products from the most profitable to the least profitable use of the constrained resource (bottleneck). Note: Round your intermediate calculations to 2 decimal places.

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Problem 1569

An extension cord 6 yards long costs $\$ 8.46$ . What is the price per Hint: There are 3 feet in 1 yard. \$

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Problem 1570

Dissolve $1.26 \mathrm{gm} \mathrm{AgNO}_{3}$ in $250 \mathrm{~mL}$ . Find molarity and millimoles of AgNO3.

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Problem 1571

Jules learns 1 pint = 0.473 liters. Teacher says 0.47 L, parents say 0.5 L. How can both be correct? Explain.

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Problem 1572

Calculate the IV dose of nitroprusside (Nipride) for a patient weighing 125 lbs at $0.5 \mathrm{mcg} / \mathrm{kg} / \mathrm{min}$ .

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Problem 1573

A household uses $x$ ccf of water. How many cubic feet is this? Options: $x$ , $\frac{x}{100}$ , 100, or $100 x$ .

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Problem 1574

What was the speed in m/s if Ramon's class traveled $252 \mathrm{~km}$ in 2.8 hours? Use $s=\frac{d}{t}$ .

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Problem 1575

Calculate the density of a substance with volume $300 \mathrm{~cm}^{3}$ and mass $520 \mathrm{~g}$ .

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Problem 1576

Find the density of an object with mass 25025 kg and volume 22 m $^{3}$ . Use correct significant figures in your answer.

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Problem 1577

374 km ÷ 12 h =

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Problem 1578

Convert 640 mph to meters per second. Use the conversion $1.0$ mile $=1.6$ km to find the British missile velocity.

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Problem 1579

Alyssa wants to know her savings traveling to the Moon vs. Mars. Find savings using distances $d_{1}=1.22 \times 10^{8} \mathrm{~km}$ , $d_{2}=8.12 \times 10^{5} \mathrm{~km}$ , fuel rate $=1.54 \times 10^{3} \mathrm{~km} / \mathrm{L}$ , and cost $\$ 3.23 \times 10^{2}$ per liter.

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Problem 1580

Find the molarity of the KCl solution made from 1.5 g in 50 mL. Molar mass of KCl is 65.598 g/mol.

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Problem 1581

Module Knowitedge Grest Ouestion 12
A chemist carefully measures the amount of heat needed to raise the temperature of a 691.0 g sample of a pure substance from $36.9^{\circ} \mathrm{C}$ to $51.6^{\circ} \mathrm{C}$ . The experiment shows that 47.7 kJ of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has correct number of significant digits. [! $\mathrm{J} \cdot \mathrm{g}^{-1} \cdot \mathrm{~K}^{-1}$ $\square \square$

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Problem 1582

8. Bella's Bakery is known for its delectable desserts. They sell slices of cake for $\$ 3.25$ dollars each. If a whole cake yields 12 slices, and the bakery sells 7.5 cakes in a day, how much money does the bakery make from cake sales alone?

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Problem 1583

In infants' Tylenol, 5 ml contains 160 mg of Acetaminophen. If your child's pediatrician says that your child can take 16 mg of Acetaminophen, how many milliliters ( ml ) should you give the child? a) Record the proportion below in which you will use to solve the problem. Be sure to use $x$ as the unknown quantity. b) Solve your proportion in part a), and record your result below.

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Problem 1584

4) Tina rode her bike 7 miles in 35 minutes. At this rate, how far will Tina trand after rilingher bike for one hour? who rode their bike the fastest. Anthing or Tina? 5) A tendier has 45 books on a shelf. Gf the bwoks, What percentage is about

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Problem 1585

stuly paths Diagnostic Diagnostic
Whole Numbers Progress: Question ID: 115973
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck? 830 full truckloads with 10 cars on the 831 st truck 83 full truckloads with 10 cars on the $84 t / h$ truck 84 full truckloads with 10 cars on the $85 t h$ truck 83 full truckloads with 12 cars on the 84th truck

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Problem 1586

Progress: Question ID: 106264
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. A bowl holds the 12 pieces of fruit shown below.
If Jasmine correctly writes the fraction of fruit that are apples, which of the following would be the numerator of the fraction? 12 5 $\frac{7}{12}$ 7

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Problem 1587

Calculate the miles per gallon if Dave and Mary drove $290 \frac{1}{4}$ miles using $13 \frac{1}{2}$ gallons of gas.

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Problem 1588

Jessica bakes 112 muffins in 7 batches. Find the number of muffins per batch: $x = \frac{112}{7}$ .

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Problem 1589

Calculate the miles per gallon if Dave and Mary drove $290 \frac{1}{4}$ miles using $13 \frac{1}{2}$ gallons of gas.

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Problem 1590

How fast must a horse run in mph to complete the 10 furlong Derby in 2 minutes? (1 mile = 8 furlongs)

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Problem 1591

How fast must a horse run in mph to finish the 10 furlong Kentucky Derby in 2 minutes? (1 mile = 8 furlongs)

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Problem 1592

How many liters of cheese sauce are needed for 80 servings if 4.5 liters is for 150 servings? Options: 2.1, 2.4, 3.0, 8.4, 15.5.

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Problem 1593

Evaluate the expression and simplify: $\frac{1}{2}: \frac{3}{4}$

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Problem 1594

Sinth grede S. 6 Write an equhalent ratio NEA
Find the number that makes the ratio equivalent to 99:45. $\square$ : 5 Submit

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Problem 1595

12. Le réservoir d'essence de la voiture de Léonie peut contenir 50 L .
Lorsqu'elle roule sur l'autoroute, sa voiture consomme 10 L par 100 km . En ville, elle consomme 12 L par 100 km . Léonie a fait le plein dimanche. Depuis, elle a parcouru 120 km en ville et 150 km sur l'autoroute.
Quelle distance peut-elle encore parcourir sur l'autoroute sans faire le plein?
Réponse : $\qquad$ km sur l'autoroute.

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Problem 1596

Video
Miles is helping his mom paint their family's deck. His mom bought 2 gallons of primer for $\$ 79.90$ and 4 gallons of paint for $\$ 171.80$ . How much more does paint cost per gallon than primer? \\square$ per gallon Submit

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Problem 1597

1. $18^{\circ} \mathrm{C}=$ $\qquad$
2. $176^{\circ} \mathrm{F}=$ ${ }^{\circ} \mathrm{F}$
3. $40^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$
4. $95^{\circ} \mathrm{F}=$ $\qquad$ ${ }^{\circ} \mathrm{F}$ $\qquad$
5. $37^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$

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Problem 1598

How many moles of aspirin $\left(\left(\mathrm{C}_{0} \mathrm{H}_{8} \mathrm{O}_{4}\right)\right.$ are in $9.50 \times 10^{25}$ molecules of aspirin?
Solution Step 1. Write the given quantity and the desired quantity. Given: $9.50 \times 10^{25}$ molecules of aspirin, Desired: ? mol of aspirin Step 2. Write the two conversion factors from equality between the given and the desired quantity. $\frac{6.022 \times 10^{23} \text { particles }}{1 \mathrm{~mol}} \text { and } \frac{1 \mathrm{~mol}}{6.022 \times 10^{23} \text { particles }}$
Step 3. Multiply the given quantity with the conversion factor that cancels the given unit and leaves the desired unit in the answer. $9.50 \times 10^{25} \text { molecules } \mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4} \times \frac{1 \mathrm{~mol} \mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}}{6.022 \times 10^{23} \text { molecules } \mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}}=158 \mathrm{~mol} \mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}$

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Problem 1599

What is the formula for determining the density of an object?

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Problem 1600

1.2 is how many percent of $\frac{3}{4}$ ?

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1 ...13 14 15 16 17

Ratios & Proportions

Problem 1501

Convert 7 kilometers to miles using given conversion factors. Round to the nearest hundredth.

Problem 1502

How many atoms are in 0.525 moles of copper, knowing 1 mole has 6.02×10236.02 \times 10^{23}6.02×1023 atoms?

Problem 1503

How long to ski 36 miles at 3 miles per 30 minutes?

Problem 1504

Find the mass of 100.0 mL of table salt, NaCl\mathrm{NaCl}NaCl, with a density of 2.16 g/mL2.16 \mathrm{~g/mL}2.16 g/mL.

Problem 1505

Calculate the energy to power a 75-watt bulb for 4.0 h, given 1.0 h requires 260 kJ.

Problem 1506

How many kg of oil are needed to heat 190 kg of water from 28°C to 100°C, given 1lb=454g1 \mathrm{lb}=454 \mathrm{g}1lb=454g?

Problem 1507

If burning 3500kcal3500 \mathrm{kcal}3500kcal equals losing 1.0lb1.0 \mathrm{lb}1.0lb, how long for Charles to lose 5.0lb5.0 \mathrm{lb}5.0lb?

Problem 1508

Gwendolyn's hotdog is 9 units long on a scale of 1 unit = 10 cm. What is its actual length in cm?

Problem 1509

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.If he teaches at the same rate, how many poses will Javier teach in today's class? □\square□ poses

Problem 1510

13. Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed? 5.NSO.2.2 Ⓐ 7 cabins Ⓑ 8 cabins Ⓒ 9 cabins Ⓓ 10 cabins

Problem 1511

6) Are these proportional? (yes or no) a. 23,1318\frac{2}{3}, \frac{13}{18}32​,1813​ \qquad b. 9121520\frac{9}{12} \quad \frac{15}{20}129​2015​ \qquad

Problem 1512

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?The amount of compensation is \$\(\boxed{}\).

Problem 1513

b. (3,0)(3,0)(3,0) c. (−5,−4)(-5,-4)(−5,−4) 8.Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

Problem 1514

Wild grove Furniture needs to Ship 6b16 b 16b1 couches across the country. if they an fit 14 wuches in each truck, how many couches will be in the partilly full truch?

Problem 1515

Evaluate. 6!4!5!2!\frac{6!4!}{5!2!}5!2!6!4!​Simplify your answer as much as possible. □\square□ □□\frac{\square}{\square}□□​? 囦 □\square□ 回 Aa

Problem 1516

22. Shelby drew a map of the Appalachian Trail using the scale 5 centimeters equals 400 kilometers. The map shows the Appalachian Trail to be 43.75 centimeters. What is the actual length of the Appalachion Trail?

Problem 1517

Problem 1518

2. Spencer purchased 54 tickets at a local fair and paid \$108. Which rate best represents the price per ticket Spencer paid at the fair? A. 54 tickets per dollar B. 2 dollars per ticket C. 108 dollars per ticket D. 2 tickets per dollar

Problem 1519

Mrs. Huynh bought a bag of 3 dozen toy animals as party favors for her son's birthday party. The bag of toy animals cost $28.97\$ 28.97$28.97. Estimate the price of each toy animal.

Problem 1520

Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day. a. Estimate how many gallons he drank in one day.

Problem 1521

A 15-day vitamin supply costs \$1.62. Find the daily cost in cents, rounded to the nearest tenth.

Problem 1522

Calculate the price per diaper in cents for Brand A (32 diapers, \$10.49) and Brand B (45 diapers, \$13.99). Round to the nearest tenth. Which is cheaper?

Problem 1523

A car gets 19.8 miles per gallon and has 7.3 gallons. How far can it travel before running out of gas? Round to the nearest mile.

Problem 1524

A car gets 25 miles per gallon. How many km can it travel on 1 L of gasoline? Answer: 11 km/L11 \mathrm{~km} / \mathrm{L}11 km/L.A heart beats 70 times per minute. How long for 3 million beats? Answer: 30 days.How many drops of milk are in 1 gallon?

Problem 1525

Problem 1526

Problem 1527

Find the molarity of the KCl solution with 1.5 g in 50 mL of solution.

Problem 1528

Calculate the molarity of a solution made by dissolving 1.26gmAgNO31.26 \mathrm{gm} \mathrm{AgNO}_{3}1.26gmAgNO3​ in 250 mL250 \mathrm{~mL}250 mL. How many mmoles of AgNO3?

Problem 1529

Estimate the total cost using: (Rate) ×(\times(×( Items )+()+()+( Fee )=)=)= Total. For 10 items at \$21 each and a \$14.50 fee, find Total \$ (\#\#\#.\#\#).

Problem 1530

How many servings can be made with 1 gallon of milk if 1141 \frac{1}{4}141​ cups are used for 10 servings?

Problem 1531

A recipe uses 1141 \frac{1}{4}141​ cups of milk for 10 servings. How many servings can 1 gallon of milk make? Show your work.

Problem 1532

Simplify the expression: 12 blurts 6 chards ⋅7 vipes 5 blurts ⋅10 freeps 5 vipes \frac{12 \text{ blurts }}{6 \text{ chards }} \cdot \frac{7 \text{ vipes }}{5 \text{ blurts }} \cdot \frac{10 \text{ freeps }}{5 \text{ vipes }}6 chards 12 blurts ​⋅5 blurts 7 vipes ​⋅5 vipes 10 freeps ​.

Problem 1533

Rubio walks to a friend's house 1 mile away at 23\frac{2}{3}32​ mile in 16 minutes. How long to reach his friend's?

Problem 1534

4. Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day, a. Estimate how many gallons he drank in one day. b. Estimate how many gallons he drankin one week! 56 bays/9

Problem 1535

Problem 1536

Problem 1537

In verighl 11, complete the tables with equivalent ratios. (11) A vildiff conservancy maintains a ratio of 2 squirrels for every 8 birds. How many birds would there be if there were 15 squirele?IF there are 15 squar birds.

Problem 1538

السؤال الثالث : ( 25 علامة) : يحناتج 6 عمال الى 15 يوم لحفر بنر ماء . كم يحتّاج 10 عمال يعطون بنفس

Problem 1539

3) On the first day of your sales, you sold 32 orders of queso and chips total to the 90 customers. The ratio for this would be 32:90. On the second day, you sold 17 orders of queso and chips total to 45 customers. The ratio for this is 17:45. Are these ratios equivalent?

Problem 1540

What is the MD\% if planned MD\are are are\15,000 15,00015,000 and sales are planned at $105,000\$ 105,000$105,000 ? (A) 7.4%7.4 \%7.4% (B) 5.6%5.6 \%5.6% (C) 14.3%14.3 \%14.3% (D) 12.6%12.6 \%12.6%

Problem 1541

Unit 6 Extra CreditSolve. Joanna has a digital photograph that is 5 in. by 7 in. She wants to use her computer to make the picture into a thumbnail image that is 1 in. by 1.4 in. What scale factor should she use to make the thumbnail picture? Type here to search K12K 12K12 2:40 PM - xxx 12/13/2024

Problem 1542

Problem 1543

How many atoms are in 0.525 moles of copper, knowing 1 mole has $6.02 \times 10^{23}$ atoms?

Find the mass of 100.0 mL of table salt, $\mathrm{NaCl}$ , with a density of $2.16 \mathrm{~g/mL}$ .

How many kg of oil are needed to heat 190 kg of water from 28°C to 100°C, given $1 \mathrm{lb}=454 \mathrm{g}$ ?

If burning $3500 \mathrm{kcal}$ equals losing $1.0 \mathrm{lb}$ , how long for Charles to lose $5.0 \mathrm{lb}$ ?

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30 -minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class? $\square$ poses

6) Are these proportional? (yes or no) a. $\frac{2}{3}, \frac{13}{18}$ $\qquad$ b. $\frac{9}{12} \quad \frac{15}{20}$ $\qquad$

If a fire causes damage valued at \$71,000, what is the amount of compensation if there is 80% coinsurance clause and compensation with a coinsurance clause is \$208,000?
The amount of compensation is \$\(\boxed{}\).

b. $(3,0)$ c. $(-5,-4)$ 8.
Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

Wild grove Furniture needs to Ship $6 b 1$ couches across the country. if they an fit 14 wuches in each truck, how many couches will be in the partilly full truch?

Evaluate. $\frac{6!4!}{5!2!}$
Simplify your answer as much as possible. $\square$ $\frac{\square}{\square}$
? 囦 $\square$ 回 Aa

Mrs. Huynh bought a bag of 3 dozen toy animals as party favors for her son's birthday party. The bag of toy animals cost $\$ 28.97$ . Estimate the price of each toy animal.

A car gets 25 miles per gallon. How many km can it travel on 1 L of gasoline? Answer: $11 \mathrm{~km} / \mathrm{L}$ .
A heart beats 70 times per minute. How long for 3 million beats? Answer: 30 days.
How many drops of milk are in 1 gallon?

Calculate the molarity of a solution made by dissolving $1.26 \mathrm{gm} \mathrm{AgNO}_{3}$ in $250 \mathrm{~mL}$ . How many mmoles of AgNO3?

Estimate the total cost using: (Rate) $\times($ Items $)+($ Fee $)=$ Total. For 10 items at \$21 each and a \$14.50 fee, find Total \$ (\#\#\#.\#\#).

How many servings can be made with 1 gallon of milk if $1 \frac{1}{4}$ cups are used for 10 servings?

A recipe uses $1 \frac{1}{4}$ cups of milk for 10 servings. How many servings can 1 gallon of milk make? Show your work.

Simplify the expression: $\frac{12 \text{ blurts }}{6 \text{ chards }} \cdot \frac{7 \text{ vipes }}{5 \text{ blurts }} \cdot \frac{10 \text{ freeps }}{5 \text{ vipes }}$ .

Rubio walks to a friend's house 1 mile away at $\frac{2}{3}$ mile in 16 minutes. How long to reach his friend's?

In verighl 11, complete the tables with equivalent ratios. (11) A vildiff conservancy maintains a ratio of 2 squirrels for every 8 birds. How many birds would there be if there were 15 squirele?
IF there are 15 squar birds.

What is the MD\% if planned MD\ $are$ \ $15,000$ and sales are planned at $\$ 105,000$ ? (A) $7.4 \%$ (B) $5.6 \%$ (C) $14.3 \%$ (D) $12.6 \%$

Unit 6 Extra Credit
Solve. Joanna has a digital photograph that is 5 in. by 7 in. She wants to use her computer to make the picture into a thumbnail image that is 1 in. by 1.4 in. What scale factor should she use to make the thumbnail picture? Type here to search $K 12$ 2:40 PM - $x$ 12/13/2024

Final Exam
Given that it takes an employee about 17 seconds to lift, close, fill, and shelve a jar of peanut butter, calculate how many jars the employee can complete in 1 hour.
About 180 jars About 240 jars About 212 jars About 1020 jars

Kwame fills a bird feeder with seeds. As birds visit the feeder, the height of the seeds changes from 13.6 cm to 11.1 cm over a period of $6 \frac{1}{4} \mathrm{~h}$ . What is the average change in the height of the seeds each hour? Show your work.

How many days are in 93.0 hours if one day is 24 hours? Calculate: $\frac{93.0}{24}$ .

Calculate the units for the expression: $\frac{\left(2.42 \frac{\mathrm{g}}{\mathrm{mL}}\right)\left(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}}\right)}{\left(23.38 \frac{\mathrm{g}}{\mathrm{mol}}\right)}$ .

Everett made $\frac{3}{5}$ of 60 baskets. How many baskets did he make?

In a class of 36 students, if $\frac{5}{12}$ are girls, how many girls are there?

Tom needs to rent tables for 105 people, seating 8 each. How many tables are required? Calculate: $\lceil \frac{105}{8} \rceil$ .

An extension cord 6 yards long costs $\$ 8.46$ . What is the price per Hint: There are 3 feet in 1 yard. \$

Dissolve $1.26 \mathrm{gm} \mathrm{AgNO}_{3}$ in $250 \mathrm{~mL}$ . Find molarity and millimoles of AgNO3.

Calculate the IV dose of nitroprusside (Nipride) for a patient weighing 125 lbs at $0.5 \mathrm{mcg} / \mathrm{kg} / \mathrm{min}$ .

A household uses $x$ ccf of water. How many cubic feet is this? Options: $x$ , $\frac{x}{100}$ , 100, or $100 x$ .

What was the speed in m/s if Ramon's class traveled $252 \mathrm{~km}$ in 2.8 hours? Use $s=\frac{d}{t}$ .