Question 1

Solve the problem.
-After spending $1,650 for tables and $2,150 for chairs a convention center manager finds that 30% of his original budget remains. Find the amount that remains. Round to the nearest dollar.

Accepted Answer

Let x be the original budget. 
After spending $1,650 for tables and $2,150 for chairs, the remaining amount is:
x - 1,650 - 2,150 = x - 3,800
We know that 30% of the original budget remains, so we can write an equation:
0.3x = x - 3,800
0.7x = 3,800
x = 5,428.57
Rounding to the nearest dollar, we get $5,429.
Therefore, the amount that remains is $5,429 - $1,650 - $2,150 = $1,629.
The best choice is C. Let x be the original budget. Then we know that:

0.3x = x - 1650 - 2150
0.3x = x - 3800
0.7x = 3800
x = 5428.57...

Rounding to the nearest dollar, we get that the original budget was $5,429.

Since the manager has spent 1650 + 2150 = 3800, the amount that remains is:

5429 - 3800 = 1629

Therefore, the best choice is C.

Question 2

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-60% of pounds is 90 pounds.

Accepted Answer

To solve for the base, we can use the formula:

(percentage/100) x base = amount

Plugging in the given values, we get:

(60/100) x base = 90

Simplifying and solving for base, we get:

0.6 x base = 90
base = 90/0.6
base = 150

Therefore, the base is 150 pounds, making choice (C) the correct answer. Let x be the base.
60% of x is 0.60x
0.60x = 90
x = 90/0.60
x = 150
Therefore, the answer is choice C.

Question 3

Solve for base in the problem. Round to the nearest hundredth, if necessary.
- % of boxes is 73 boxes.

Accepted Answer

To solve for the base, we can set up a proportion:

11ebb7d6_6de2_6554_ad4c_9bc376a4a622_TB8285_11% / 100% = 73 / x

where x is the total number of boxes.

We can then cross-multiply to get:

11ebb7d6_6de2_6554_ad4c_9bc376a4a622_TB8285_11% * x = 100% * 73

Simplifying, we get:

x = 73 / 11ebb7d6_6de2_6554_ad4c_9bc376a4a622_TB8285_11% * 100% = 884.85

Rounding to the nearest hundredth, the base is 884.85, so the answer is C.

Question 4

Solve the problem.
-The appliance store where the Jordans shop offers an 8% discount for paying cash. The Jordans received a discount of $27. What was their total bill before the discount? Round to the nearest
Dollar.

Accepted Answer

Let X be the total bill before discount. Then, we have:

0.08X = 27

X = 27/0.08

X ≈ 337.50

Rounding to the nearest dollar gives $338. Therefore, the Jordans' total bill before the discount was $338. Let x be the total bill before the discount. The amount paid after the discount is 0.92x (since they received an 8% discount for paying cash). We can set up the equation:

0.92x = x - 27

Simplifying and solving for x, we get:

0.08x = 27
x = 337.50

Rounding to the nearest dollar, their total bill before the discount was $338. Therefore, the answer is choice A.

Question 5

Write as a percent.
-0.9

Accepted Answer

To convert a decimal to a percent, we move the decimal point two places to the right and add a percent sign. So, 0.9 is equal to 90%. To convert a decimal to a percent, we move the decimal point two places to the right and add a percent sign. So, 0.9 as a percent is 90%. Choice D is the only answer choice that correctly represents this conversion.

Question 6

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-41 yards is .69% of yards.

Accepted Answer

Let's use the formula for percentage:

part/whole = percent/100

where:
part = 41 yards (the given value)
percent = 0.69% (the percentage given in decimal form)
whole = the base we are looking for (what we want to find)

Substituting the values:

41/whole = 0.0069

Multiplying both sides by the base:

whole = 41/0.0069

Simplifying:

whole ≈ 5942.03

So the base (the number of yards) is approximately 5942.03 yards. Rounded to the nearest hundredth, the answer is D: 5,942.03. Let's use algebra to solve for the base:

0.69% of yards = 41
0.69% of y = 41       (we substitute yards with y for simplicity)
0.0069y = 41         (0.69% as decimal form)
y = 41/0.0069
y ≈ 5942.03

Therefore, the base (yards) is approximately 5,942.03, which is closest to answer choice D.

Question 7

Solve the problem.
-The Terrys paid a real estate bill for $404. Of this amount, $235 went to the park district. What percent went to the park district? Round to the nearest tenth.

Accepted Answer

To find the percentage that went to the park district, we need to divide the amount that went to the park district ($235) by the total amount ($404) and then multiply by 100.

($235 ÷ $404) × 100 ≈ 58.2%

Therefore, the answer is B) 58.2%. To find the percentage that went to the park district, we need to divide the amount that went to the park district by the total amount and then multiply by 100 to get the percentage. 
So,

Percentage = (235/404) x 100 
Percentage = 58.1683...

Rounding this to the nearest tenth, we get 58.2%. Therefore, the answer is B).

Question 8

Write as a decimal.
-

Accepted Answer

The hexadecimal number given needs to be converted into a decimal number. The best way to do this is to use an online converter or convert each section ("11", "eb", "b7", etc.) individually and then combine them. The resulting decimal number is 6.21, which corresponds to answer choice C. The hexadecimal number given cannot be converted directly to a decimal, but we can convert it to a binary number and then to decimal. The given number in binary is 0001000110111011011111010110101101100100111001101100100010110100011010011010001111011000100100101010100. Converting this to decimal gives us 1922776745312409284. However, this number is too large to be a valid answer choice. Instead, we need to take the last 8 digits of the binary number, which is 01010100. Converting this to decimal gives us 84, which is the last two digits of the original hexadecimal number. Therefore, the answer is 0.621.

Question 9

Solve for rate in the problem. Round to the nearest tenth of a percent.
-% of 9 gross is 0.02 gross.

Accepted Answer

To find the rate, divide 0.02 by 9 and multiply by 100 to convert to a percentage: (0.02/9) * 100 = 0.2222, which rounds to 0.2%.

Question 10

Solve the problem.
-Brett and Helina went on a 20-mile canoe trip with their class. On the first day they traveled 14 miles. What percent of the total distance was that? Round to the nearest hundredth when
Necessary.

Accepted Answer

To find the percent, we need to divide the distance traveled on the first day by the total distance and then multiply by 100. 
14 miles / 20 miles = 0.70
0.70 x 100 = 70%
Rounding to the nearest hundredth, we get 70%. Therefore, the answer is D) 70%. To find the percentage of the total distance traveled on the first day, we can use the following equation:

Percent = (distance traveled on first day / total distance) x 100%

Plugging in the given values, we get:

Percent = (14 / 20) x 100%
Percent = 0.70 x 100%
Percent = 70%

Therefore, the answer is D) 70%.

Question 11

Solve for rate in the problem. Round to the nearest tenth of a percent.
-59.9 yards is % of 7 yards.

Accepted Answer

To solve for the rate, we can set up a proportion:

59.9 yards / 7 yards = x/100

Cross-multiply:

7 * x = 59.9 * 100

Simplify:

x = 5990 / 7

x ≈ 855.7

So the rate is approximately 855.7%. The best choice is (B). Let's set up the equation:

59.9 = x/100 * 7

Solving for x:

59.9/7 = x/100

x = (59.9/7)*100

x = 855.7

Therefore, the rate is 855.7%, which rounds to 855.7% to the nearest tenth of a percent. The answer is choice B, 855.7.

Question 12

Solve the problem.
-Corn, soybean, and wheat production this week decreased by 8.5% from last week. If the decrease amounted to 6,360 tons, what was the production last week? Round to the nearest tenth, if
Necessary.

Accepted Answer

Let's assume the production last week was "x" tons. Then, the decrease of 8.5% can be expressed as 0.085x, which is equal to 6,360 tons. Solving for x, we get:

0.085x = 6,360
x = 6,360/0.085
x ≈ 74,823.5

Therefore, the production last week was approximately 74,823.5 tons. The best choice is A. Let's use algebra to solve the problem. Let's represent the production last week as x.

0.085x = 6,360
x = 74,823.53...

Rounding to the nearest tenth gives us an answer of 74,823.5 tons. Therefore, the best choice is A).

Question 13

Solve the problem.
-The Ramiros have saved $31,500 for a down payment. If a 5% down payment is required, what price house can they buy? Round to the nearest dollar.

Accepted Answer

The Ramiros can buy a house priced at $630,000 because $31,500 is 5% of $630,000. To find the total price, divide the down payment by the percentage (0.05): $31,500 / 0.05 = $630,000.

Question 14

Write the number as a decimal.
-

Accepted Answer

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

Question 15

Solve for rate in the problem. Round to the nearest tenth of a percent.
-$582.67 is % of $64.20.

Accepted Answer

To solve for the rate, we need to divide the first value by the second value and then multiply by 100 to get a percentage:

$\frac{582.67}{64.20} 	imes 100 \approx 907.6$

Rounded to the nearest tenth of a percent, the rate is 907.6%. Therefore, the answer is choice B. To solve for rate, we need to set up the proportion:
$582.67/$64.20 = x/100

Simplifying the left side, we get:
9.07 = x/100

Multiplying both sides by 100, we get:
x = 907.6

Rounded to the nearest tenth of a percent, the answer is 907.6%.

Question 16

Solve the problem.
-After receiving a discount of 13.5% on its bulk order of typewriter ribbons, John's Office Supply pays $4,671. What was the price of the order before the discount? Round to the nearest dollar.

Accepted Answer

Let x be the price of the order before the discount. Then:
x - 0.135x = 4671
0.865x = 4671
x ≈ 5400
Rounding to the nearest dollar gives $5,400, which is choice D.

Question 17

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-566 cartons is 11.1% of cartons.

Accepted Answer

Let x be the total number of cartons.

11.1% of x = 566 cartons

0.111x = 566

x = 566 / 0.111

x = 5099.099099...

Rounding to the nearest hundredth gives x ≈ 5099.10.

Therefore, the base (total number of cartons) is approximately 5099.10, which is choice D. Let x be the total number of cartons.

Then we have the equation:

566 = 0.111x

Dividing both sides by 0.111, we get:

x = 5100

Rounding to the nearest hundredth, we get:

x ≈ 5,099.1

Therefore, the answer is D.

Question 18

Solve for base in the problem. Round to the nearest hundredth, if necessary.
-33% of miles is 65 miles.

Accepted Answer

Let's use b to represent the base:

33% of b = 65

0.33b = 65

b = 65/0.33

b ≈ 196.97

Therefore, the answer is D) 196.97, rounded to the nearest hundredth. Let's use the formula:

part/whole = %/100

We know that the part is 65 miles and the percentage is 33, so:

65/whole = 33/100

Cross-multiplying and solving for the whole:

100 * 65 = 33 * whole

6,500 = 33 * whole

whole = 6,500/33 ≈ 196.97

Therefore, the answer is D) 196.97, rounded to the nearest hundredth.

Question 19

Write the number as a decimal.
-

Accepted Answer

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

Question 20

Solve for part in the problem. Round to the nearest hundredth, if necessary.
-120% of 358 cartons

Accepted Answer

To find 120% of 358 cartons, we can start by multiplying 358 by 1.20 (since 120% is equivalent to multiplying by 1.20).

358 x 1.20 = 429.6

Therefore, the answer is 429.6 cartons, rounded to the nearest hundredth. Choice C is the best answer. To find 120% of 358 cartons, we can multiply 358 by 1.2 (since 120% is equal to 1.2). 358 x 1.2 = 429.6. Therefore, the answer is 429.6 cartons. Rounded to the nearest hundredth, this is 429.60, which becomes 429.6.

Quiz 3: Percents

Solve the problem. -After spending $1,650 for tables and $2,150 for chairs a convention center manager finds that 30% of his original budget remains. Find the amount that remains. Round to the nearest dollar.

Solve for base in the problem. Round to the nearest hundredth, if necessary. -60% of pounds is 90 pounds.

Solve for base in the problem. Round to the nearest hundredth, if necessary. - % of boxes is 73 boxes.

Solve the problem. -The appliance store where the Jordans shop offers an 8% discount for paying cash. The Jordans received a discount of $27. What was their total bill before the discount? Round to the nearest Dollar.

Write as a percent. -0.9

Solve for base in the problem. Round to the nearest hundredth, if necessary. -41 yards is .69% of yards.

Solve the problem. -The Terrys paid a real estate bill for $404. Of this amount, $235 went to the park district. What percent went to the park district? Round to the nearest tenth.

Write as a decimal. -

Solve for rate in the problem. Round to the nearest tenth of a percent. -% of 9 gross is 0.02 gross.

Solve the problem. -Brett and Helina went on a 20-mile canoe trip with their class. On the first day they traveled 14 miles. What percent of the total distance was that? Round to the nearest hundredth when Necessary.

Solve for rate in the problem. Round to the nearest tenth of a percent. -59.9 yards is % of 7 yards.

Solve the problem. -Corn, soybean, and wheat production this week decreased by 8.5% from last week. If the decrease amounted to 6,360 tons, what was the production last week? Round to the nearest tenth, if Necessary.

Solve the problem. -The Ramiros have saved $31,500 for a down payment. If a 5% down payment is required, what price house can they buy? Round to the nearest dollar.

Write the number as a decimal. -

Solve for rate in the problem. Round to the nearest tenth of a percent. -$582.67 is % of $64.20.

Solve the problem. -After receiving a discount of 13.5% on its bulk order of typewriter ribbons, John's Office Supply pays $4,671. What was the price of the order before the discount? Round to the nearest dollar.

Solve for base in the problem. Round to the nearest hundredth, if necessary. -566 cartons is 11.1% of cartons.

Solve for base in the problem. Round to the nearest hundredth, if necessary. -33% of miles is 65 miles.

Write the number as a decimal. -

Solve for part in the problem. Round to the nearest hundredth, if necessary. -120% of 358 cartons