Question 1

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-152 rolls is 49% of rolls.

Accepted Answer

To find the base, you divide the given amount by the percentage (in decimal form). So, 152 is 49% of the total rolls, which means 152 = 0.49 * base. Solving for the base, base = 152 / 0.49 = approximately 310.2.

Question 2

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-$18 is 6% of $ .

Accepted Answer

To solve this problem, we need to set up an equation: 
18 = 0.06(x)
where x is the unknown base we are trying to find. 
To solve for x, we divide both sides by 0.06: 
x = 18/0.06 = 300 
Therefore, the base is $300.00, which is choice D. Let x be the base. 
The equation can be set up as: 
0.06x = 18 
x = 18/0.06 
x ≈ 300
Therefore, the base is $300.00, which is answer choice D.

Question 3

Write as a percent.
-0.00631

Accepted Answer

To convert a decimal to a percent, you multiply by 100. So, 0.00631 * 100 = 0.631%.

Question 4

Write as a percent.
-7

Accepted Answer

To convert a whole number to a percent, you multiply by 100%. So, 7 * 100% = 700%.

Question 5

Solve the problem.
-Cruising magazine published 34 freelance articles last year. If freelance articles are 11% of the total articles, how many articles were published? Round to the nearest whole article.

Accepted Answer

To find the total number of articles published, divide the number of freelance articles by the percentage they represent: 34 / 0.11 = 309.09, which rounds to 309 articles.

Question 6

Solve the problem.
-Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X copiers run 52,300 copies between services, how many copies would the competitor run?
Round to the nearest whole number.

Accepted Answer

To find the number of copies the competitor runs, divide the number of copies Brand X runs by 1.22 (since Brand X runs 22% longer). 52,300 / 1.22 = 42,868.85, which rounds to 42,869 copies.

Question 7

Solve for the base. Round to the nearest cent.
-Part: $132,311.00 Rate of increase: 8.2%

Accepted Answer

The answer of Solve for the base. Round to the...

Question 8

Solve for part in the problem. Round to the nearest hundredth, if necessary.
-

Accepted Answer

Without knowing the context or given equation of the problem, it is impossible to determine the exact numerical answer. However, based on the answer choices, it can be inferred that the solution is a small value, likely less than 50 quarts. The only answer choice that fits this criteria is C, which is 4.71 qt. Therefore, choice C is the best option.

Question 9

Solve for rate in the problem. Round to the nearest tenth of a percent.
-% of 1,743 sales is 15 sales.

Accepted Answer

The rate is found by dividing the part (15 sales) by the whole (1,743 sales) and then multiplying by 100 to convert to a percentage: (15 / 1,743) * 100 = 0.8602%, which rounds to 0.9%.

Question 10

Solve for the base. Round to the nearest cent.
-Part: $882.00 Rate of decrease: 14%

Accepted Answer

The base can be found by dividing the part by the complement of the rate of decrease. Since the rate of decrease is 14%, the complement is 100% - 14% = 86% or 0.86. So, the base is $882.00 / 0.86 = $1,025.58.

Question 11

Write the number as a decimal.
-

Accepted Answer

The answer of Write the number as a decimal.
-
...

Question 12

Solve the problem.
-Students at East Central High School earned $915 selling pennants. They want to make $4,410 for a club trip. What percent of their goal has been reached? Round to the nearest tenth when necessary.

Accepted Answer

To find the percent of the goal reached, divide the amount earned by the total goal and multiply by 100. So, ($915 / $4410) * 100 = 20.7%.

Question 13

Solve the problem.
-Midtown Antiques has found that sales have decreased 2% from last year. Sales this year are $142,929. Find the amount of last year's sales. Round to the nearest dollar.

Accepted Answer

To find last year's sales, we need to undo the 2% decrease from this year's sales. We can start by setting up the equation: 
last year's sales - 0.02(last year's sales) = $142,929 
Simplifying this, we get: 
0.98(last year's sales) = $142,929 
Dividing both sides by 0.98, we get: 
last year's sales = $145,846. 
Rounded to the nearest dollar, this is answer choice D. Let the amount of last year's sales be x. 
According to the problem, we know that: 
x - 0.02x = 142929 
Simplifying and solving for x: 
0.98x = 142929 
x = 146038.7755 
Rounding to the nearest dollar gives us $145,846, which is answer choice D.

Question 14

Solve the problem.
-There are 5,900 businesses in financial trouble. If this represents 8% of all businesses, what is the total number of businesses? Round to the nearest whole number.

Accepted Answer

Let x be the total number of businesses. 
8% of x is equal to 5,900. 
0.08x = 5,900 
x = 5,900/0.08 
x = 73,750 
Rounding to the nearest whole number, the total number of businesses is 73,750, so the answer is B.

Question 15

Solve the problem.
-Best Office Machines spent $12,450 this year on delivery costs alone. If total sales were $769,400, what percent of total sales was spent on delivery costs? Round to the nearest tenth.

Accepted Answer

To find the percentage of total sales spent on delivery costs, divide the delivery costs by the total sales and then multiply by 100. $ \frac{12450}{769400} \times 100 = 1.618\%$, rounded to the nearest tenth is 1.6%.

Question 16

Supply the missing numbers. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.
-

Accepted Answer

The answer of Supply the missing numbers. Round decimals to...

Question 17

Solve the problem.
-A collection agency specializing in collecting past-due real estate loans charges $27 as an application fee plus 20% of the amount collected. What is the total charge for collecting $7,300
Past-due real estate loans?

Accepted Answer

The total charge is the sum of the application fee and 20% of the amount collected. The calculation is $27 + 0.20 * $7,300 = $27 + $1,460 = $1,487.

Question 18

Write the number as a decimal.
-

Accepted Answer

The answer of Write the number as a decimal.
-
...

Question 19

Solve the problem.
-Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1,448.11, find the portion that is the tax amount. Round to the nearest cent.

Accepted Answer

Let's start by representing the total sales amount as "x".

Since the tax rate is 5%, we know that the tax amount is 5% of the total sales, or 0.05x.

We also know that the total sales including tax are $1,448.11, so we can set up the following equation:

x + 0.05x = 1448.11

Simplifying this equation, we get:

1.05x = 1448.11

Dividing both sides by 1.05, we get:

x = 1380.15

So the portion of the total sales that is the tax amount is:

0.05x = 0.05(1380.15) = $68.96

Therefore, the best choice is C.

Question 20

Write as a percent.
-69.087

Accepted Answer

The answer of Write as a percent.
-69.087
...

Quiz 3: Percents

Solve for base in the problem. Round to the nearest hundredth, if necessary. -152 rolls is 49% of rolls.

Solve for base in the problem. Round to the nearest hundredth, if necessary. -$18 is 6% of $ .

Write as a percent. -0.00631

Write as a percent. -7

Solve the problem. -Cruising magazine published 34 freelance articles last year. If freelance articles are 11% of the total articles, how many articles were published? Round to the nearest whole article.

Solve the problem. -Brand X copier advertises that its copiers run 22% longer between service calls than its competitor. If Brand X copiers run 52,300 copies between services, how many copies would the competitor run? Round to the nearest whole number.

Solve for the base. Round to the nearest cent. -Part: $132,311.00 Rate of increase: 8.2%

Solve for part in the problem. Round to the nearest hundredth, if necessary. -

Solve for rate in the problem. Round to the nearest tenth of a percent. -% of 1,743 sales is 15 sales.

Solve for the base. Round to the nearest cent. -Part: $882.00 Rate of decrease: 14%

Write the number as a decimal. -

Solve the problem. -Students at East Central High School earned $915 selling pennants. They want to make $4,410 for a club trip. What percent of their goal has been reached? Round to the nearest tenth when necessary.

Solve the problem. -Midtown Antiques has found that sales have decreased 2% from last year. Sales this year are $142,929. Find the amount of last year's sales. Round to the nearest dollar.

Solve the problem. -There are 5,900 businesses in financial trouble. If this represents 8% of all businesses, what is the total number of businesses? Round to the nearest whole number.

Solve the problem. -Best Office Machines spent $12,450 this year on delivery costs alone. If total sales were $769,400, what percent of total sales was spent on delivery costs? Round to the nearest tenth.

Supply the missing numbers. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent. -

Solve the problem. -A collection agency specializing in collecting past-due real estate loans charges $27 as an application fee plus 20% of the amount collected. What is the total charge for collecting $7,300 Past-due real estate loans?

Write the number as a decimal. -

Solve the problem. -Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1,448.11, find the portion that is the tax amount. Round to the nearest cent.

Write as a percent. -69.087