Question 1

Solve the problem.
-Pedro canʹt decide which size pizza to order. The 10-inch cheese and sausage pizza is $10.99, While the 12-inch deluxe is $11.99. If he gets the 10-inch pizza, the total price will be divided Among 3 people. If he chooses the 12-inch pizza, then the total price will be divided among 4 People. Which is the better buy? How much will each person pay? (Use 3.14 for π.)

Accepted Answer

The 12-inch pizza is the better buy because each person will pay $3.00. To determine this, calculate the cost per person for each option. For the 10-inch pizza at $10.99 divided by 3 people, each person pays approximately $3.66. For the 12-inch pizza at $11.99 divided by 4 people, each person pays $2.9975, which rounds to $3.00.

Question 2

Solve the problem.
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Accepted Answer

The answer of Solve the problem.
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Question 3

Solve the problem.
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Accepted Answer

The answer of Solve the problem.
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Question 4

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14.
-$179 \mathrm {~cm} ^ { 2 }$ to square meters

Accepted Answer

To convert square centimeters to square meters, divide by 10,000 (since 1 m² = 10,000 cm²). Thus, $179 \mathrm {~cm} ^ { 2 } = 0.0179 \mathrm {~m} ^ { 2 }$.

Question 5

Solve the problem.
-A rectangular sheet of paper is 57 in. by 39 in. An area in the shape of a parallelogram with a Height of 15 in. and a base of 30 in. is cut from the paper. How much area is left over?

Accepted Answer

The answer of Solve the problem.
-A rectangular sheet of paper...

Question 6

Solve the problem.
-A long-distance runner runs 2 miles south and then 5 miles east. How far is the runner from the Starting point? Round your answer to thousandths.

Accepted Answer

The answer of Solve the problem.
-A long-distance runner runs 2...

Question 7

Solve the problem. -Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 11 cm and Bases of 14 cm and 8 cm. What is the cost of all the sequins if sequins cost $0.90 per cm² of Coverage?

Accepted Answer

The answer of Solve the problem.
-Cindy wants to secure sequins...

Question 8

Solve the problem. -The shape of a barbecue pit is like a parallelogram with height of 28 in. and a base of 16 in. It costs $0.50 per ft² to fill the pit with charcoals. How much totally does it cost?

Accepted Answer

The answer of Solve the problem.
-The shape of a barbecue...

Question 9

Solve the problem.
-A rectangular piece of fabric is 18 ft by 11 ft. A triangular area with a height of 5.5 ft and a base of 9.6 ft is cut from the fabric. How much area is left over?

Accepted Answer

The area of the rectangle is $18 \times 11 = 198 \, \mathrm{ft}^2$. The area of the triangle is $\frac{1}{2} \times 9.6 \times 5.5 = 26.4 \, \mathrm{ft}^2$. The remaining area is $198 - 26.4 = 171.6 \, \mathrm{ft}^2$.

Question 10

Solve the problem.
-Below is a schematic depiction of a waterslide. The slide is 26 ft long. The ladder leading to the top Of the slide is 21 ft long. How far is it from the end of the slide to the foot of the ladder? Round your Answer to hundredths.

Accepted Answer

The answer of Solve the problem.
-Below is a schematic depiction...

Question 11

Solve the problem.
-A ramp leads up to a warehouse loft. The path up the ramp is 21 ft long. The base of the ramp is 16 Ft long. How high is the loft? Round your answer to hundredths.

Accepted Answer

The answer of Solve the problem.
-A ramp leads up to...

Question 12

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14.
-$0.081 \mathrm {~m} ^ { 2 }$ to square centimeters

Accepted Answer

To convert square meters to square centimeters, you multiply by 10,000 (since 1 m = 100 cm, and area conversion requires squaring the linear conversion factor). Therefore, $0.081 \mathrm {~m} ^ { 2 }$ becomes $0.081 \times 10,000 = 810 \mathrm {~cm} ^ { 2 }$.

Question 13

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14.
-$54 \mathrm { ft } ^ { 2 }$ to square yards

Accepted Answer

To convert square feet to square yards, divide by 9 (since 1 square yard = 9 square feet). Thus, $54 \mathrm { ft } ^ { 2 } / 9 = 6 \mathrm { yd } ^ { 2 }$.

Question 14

Solve the problem.
-Big Jackʹs pizzas are the best values in town. His guarantee is that if you buy 5 pizzas, heʹll take 10% off the sixth, 20% off the seventh, and 50% off of every pizza after that. On Friday night Elmerʹs fraternity ordered 8 pizzas for their party. What was the price per square inch on the 7th Pizza if each pizza was a(n) 15-inch round and the original price was $9.99? (Use 3.14 for π.)

Accepted Answer

The answer of Solve the problem.
-Big Jackʹs pizzas are the...

Question 15

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14.
-$12 \mathrm { yd } ^ { 2 }$ to square feet

Accepted Answer

To convert square yards to square feet, multiply by 9 (since 1 yard = 3 feet, and area conversion requires squaring the linear conversion factor: $3^2 = 9$). Thus, $12 \, \text{yd}^2 \times 9 = 108 \, \text{ft}^2$.

Question 16

Solve the problem.
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Accepted Answer

The answer of Solve the problem.
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Question 17

Solve the problem.
-A yard in the shape of a square measures 19 ft on each side. A triangular area with a height of 4 ft And a base of 9.5 ft is dug up for a flower bed. How much yard area is left over?

Accepted Answer

The area of the square yard is calculated as side^2, which is 19^2 = 361 ft^2. The area of the triangular flower bed is calculated as 1/2 * base * height, which is 1/2 * 9.5 * 4 = 19 ft^2. Subtracting the area of the flower bed from the total yard area gives 361 - 19 = 342 ft^2 left over.

Question 18

Solve the problem. -The shape of a patio is trapezoidal with a height of 10 ft and bases of 17 ft and 11 ft. What is the Cost of outdoor carpeting to cover the patio if the carpeting costs $5.50 per ft²?

Accepted Answer

The answer of Solve the problem.
-The shape of a patio...

Question 19

Solve the problem. -Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 26 in. And a base of 46 in. If the glitter costs $0.50 per ft², how much will it cost to cover the felt?

Accepted Answer

The area of the parallelogram is 26 in. x 46 in. = 1196 in². Since there are 144 in² in a ft², the area of the parallelogram is 1196 in² / 144 in²/ft² = 8.3 ft². The cost of the glitter is $0.50 per ft², so the total cost is 8.3 ft² x $0.50/ft² = $4.15.

Question 20

Solve the problem.
-Jumps delivers only cheese pizzas. Their 15-inch round pizza is $7.99 and their new square 2-foot By 2-foot pizza is also $7.99. If $2.00 is taken off every order of the square pizza, which is the Better buy? What is the price per square inch of the better buy? (Use 3.14 for π.)

Accepted Answer

First, calculate the area of both pizzas to compare their sizes. The round pizza has a diameter of 15 inches, so its radius is 7.5 inches. Its area is πr^2 = 3.14 * (7.5)^2 ≈ 176.625 square inches. The square pizza is 2 feet by 2 feet, or 24 inches by 24 inches, so its area is 24 * 24 = 576 square inches. The round pizza costs $7.99 for 176.625 square inches, and the square pizza costs $7.99 - $2.00 = $5.99 for 576 square inches. To find the price per square inch, divide the price by the area for each. For the round pizza: $7.99 / 176.625 ≈ $0.045 per square inch. For the square pizza: $5.99 / 576 ≈ $0.0104 per square inch. Therefore, the square pizza is the better buy, and its price per square inch is approximately $0.01, making option D correct.

Quiz 8: The Metric System

Solve the problem. - $Solve the problem. - A) 256 \mathrm { ft } ^ { 3 } B) 3072 \mathrm { ft } ^ { 3 } C) 48 \mathrm { ft } ^ { 3 } D) 2048 \mathrm { ft } ^ { 3 }$

Solve the problem. - $Solve the problem. - A) 49 \mathrm {~cm} ^ { 2 } B) 21 \mathrm {~cm} ^ { 3 } C) 343 \mathrm {~cm} D) 343 \mathrm {~cm} ^ { 3 }$

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $179 \mathrm {~cm} ^ { 2 }$ to square meters

Solve the problem. -A rectangular sheet of paper is 57 in. by 39 in. An area in the shape of a parallelogram with a Height of 15 in. and a base of 30 in. is cut from the paper. How much area is left over?

Solve the problem. -A long-distance runner runs 2 miles south and then 5 miles east. How far is the runner from the Starting point? Round your answer to thousandths.

Solve the problem. -Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 11 cm and Bases of 14 cm and 8 cm. What is the cost of all the sequins if sequins cost $0.90 per cm² of Coverage?

Solve the problem. -The shape of a barbecue pit is like a parallelogram with height of 28 in. and a base of 16 in. It costs $0.50 per ft² to fill the pit with charcoals. How much totally does it cost?

Solve the problem. -A rectangular piece of fabric is 18 ft by 11 ft. A triangular area with a height of 5.5 ft and a base of 9.6 ft is cut from the fabric. How much area is left over?

Solve the problem. -Below is a schematic depiction of a waterslide. The slide is 26 ft long. The ladder leading to the top Of the slide is 21 ft long. How far is it from the end of the slide to the foot of the ladder? Round your Answer to hundredths.

Solve the problem. -A ramp leads up to a warehouse loft. The path up the ramp is 21 ft long. The base of the ramp is 16 Ft long. How high is the loft? Round your answer to hundredths.

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $0.081 \mathrm {~m} ^ { 2 }$ to square centimeters

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $54 \mathrm { ft } ^ { 2 }$ to square yards

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $12 \mathrm { yd } ^ { 2 }$ to square feet

Solve the problem. - $Solve the problem. - A) 981.25 in.<sup>3</sup> B) 2453.13 in.<sup>3</sup> C) 9812.50 in. ^ { 3 } D) 781.25 \mathrm { in } ^ { 3 }$

Solve the problem. -A yard in the shape of a square measures 19 ft on each side. A triangular area with a height of 4 ft And a base of 9.5 ft is dug up for a flower bed. How much yard area is left over?

Solve the problem. -The shape of a patio is trapezoidal with a height of 10 ft and bases of 17 ft and 11 ft. What is the Cost of outdoor carpeting to cover the patio if the carpeting costs $5.50 per ft²?

Solve the problem. -Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 26 in. And a base of 46 in. If the glitter costs $0.50 per ft², how much will it cost to cover the felt?

Solve the problem. -Jumps delivers only cheese pizzas. Their 15-inch round pizza is $7.99 and their new square 2-foot By 2-foot pizza is also $7.99. If $2.00 is taken off every order of the square pizza, which is the Better buy? What is the price per square inch of the better buy? (Use 3.14 for π.)

Quiz 8: The Metric System

Solve the problem. -

Solve the problem. -

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - 179 cm2179 \mathrm {~cm} ^ { 2 }179 cm2 to square meters

Solve the problem. -A rectangular sheet of paper is 57 in. by 39 in. An area in the shape of a parallelogram with a Height of 15 in. and a base of 30 in. is cut from the paper. How much area is left over?

Solve the problem. -A long-distance runner runs 2 miles south and then 5 miles east. How far is the runner from the Starting point? Round your answer to thousandths.

Solve the problem. -Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 11 cm and Bases of 14 cm and 8 cm. What is the cost of all the sequins if sequins cost $0.90 per cm2 of Coverage?

Solve the problem. -The shape of a barbecue pit is like a parallelogram with height of 28 in. and a base of 16 in. It costs $0.50 per ft2 to fill the pit with charcoals. How much totally does it cost?

Solve the problem. -A rectangular piece of fabric is 18 ft by 11 ft. A triangular area with a height of 5.5 ft and a base of 9.6 ft is cut from the fabric. How much area is left over?

Solve the problem. -Below is a schematic depiction of a waterslide. The slide is 26 ft long. The ladder leading to the top Of the slide is 21 ft long. How far is it from the end of the slide to the foot of the ladder? Round your Answer to hundredths.

Solve the problem. -A ramp leads up to a warehouse loft. The path up the ramp is 21 ft long. The base of the ramp is 16 Ft long. How high is the loft? Round your answer to hundredths.

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - 0.081 m20.081 \mathrm {~m} ^ { 2 }0.081 m2 to square centimeters

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - 54ft254 \mathrm { ft } ^ { 2 }54ft2 to square yards

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - 12yd212 \mathrm { yd } ^ { 2 }12yd2 to square feet

Solve the problem. -

Solve the problem. -A yard in the shape of a square measures 19 ft on each side. A triangular area with a height of 4 ft And a base of 9.5 ft is dug up for a flower bed. How much yard area is left over?

Solve the problem. -The shape of a patio is trapezoidal with a height of 10 ft and bases of 17 ft and 11 ft. What is the Cost of outdoor carpeting to cover the patio if the carpeting costs $5.50 per ft2?

Solve the problem. -Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 26 in. And a base of 46 in. If the glitter costs $0.50 per ft2, how much will it cost to cover the felt?

Solve the problem. - $Solve the problem. - A) 256 \mathrm { ft } ^ { 3 } B) 3072 \mathrm { ft } ^ { 3 } C) 48 \mathrm { ft } ^ { 3 } D) 2048 \mathrm { ft } ^ { 3 }$

Solve the problem. - $Solve the problem. - A) 49 \mathrm {~cm} ^ { 2 } B) 21 \mathrm {~cm} ^ { 3 } C) 343 \mathrm {~cm} D) 343 \mathrm {~cm} ^ { 3 }$

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $179 \mathrm {~cm} ^ { 2 }$ to square meters

Solve the problem. -Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 11 cm and Bases of 14 cm and 8 cm. What is the cost of all the sequins if sequins cost $0.90 per cm² of Coverage?

Solve the problem. -The shape of a barbecue pit is like a parallelogram with height of 28 in. and a base of 16 in. It costs $0.50 per ft² to fill the pit with charcoals. How much totally does it cost?

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $0.081 \mathrm {~m} ^ { 2 }$ to square centimeters

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $54 \mathrm { ft } ^ { 2 }$ to square yards

Find the area of the shaded region in the figure. Round results to the nearest unit. Use π≈ 3.14. - $12 \mathrm { yd } ^ { 2 }$ to square feet

Solve the problem. - $Solve the problem. - A) 981.25 in.<sup>3</sup> B) 2453.13 in.<sup>3</sup> C) 9812.50 in. ^ { 3 } D) 781.25 \mathrm { in } ^ { 3 }$

Solve the problem. -The shape of a patio is trapezoidal with a height of 10 ft and bases of 17 ft and 11 ft. What is the Cost of outdoor carpeting to cover the patio if the carpeting costs $5.50 per ft²?

Solve the problem. -Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 26 in. And a base of 46 in. If the glitter costs $0.50 per ft², how much will it cost to cover the felt?