수와 연산 전체 문제

The height of Mount Shasta is 14,179 feet. Convert the height to miles.

The play lasted

$$1\frac{3}{4}$$

hours. Convert the time to minutes.

Every day last week Pedro recorded the number of minutes he spent reading. The number of minutes were 50, 25, 83, 45, 32, 60, 135. How many hours did Pedro spend reading?

Fouad is 6 feet 2 inches tall. If he stands on a rung of a ladder 8 feet 10 inches high, how high off the ground is the top of Fouad’s head?

Donna is 1.7 meters tall. Convert her height to centimeters.

Mount Everest is 8,850 meters tall. Convert the height to kilometers.

A bottle of water contained 650 milliliters. Convert this to liters.

Minh is 2 meters tall. His daughter is 88 centimeters tall. How much taller is Minh than his daughter?

Selma had a 1 liter bottle of water. If she drank 145 milliliters, how much water was left in the bottle?

A college basketball court is 84 feet long. Convert this length to meters.

A movie lasted $1\frac{2}{3}$ hours. How many minutes did it last? (1 hour = 60 minutes)

Mike’s SUV is 5 feet 11 inches tall. He wants to put a rooftop cargo bag on the the SUV. The cargo bag is 1 foot 6 inches tall. What will the total height be of the SUV with the cargo bag on the roof? (1 foot = 12 inches)

The population of the United States on July 4, 2010 was almost 310,000,000. Write the number in scientific notation.

The population of the world on July 4, 2010 was more than 6,850,000,000. Write the number in scientific notation

Debt At the end of fiscal year 2015 the gross United States federal government debt was estimated to be approximately $18,600,000,000,000 ($18.6 trillion), according to the Federal Budget. The population of the United States was approximately 300,000,000 people at the end of fiscal year 2015.

• ⓐ Write the debt in scientific notation.
• ⓑ Write the population in scientific notation.
• ⓒ Find the amount of debt per person by using scientific notation to divide the debt by the population. Write the answer in scientific notation.

• ⓐ Elliott decides to construct a square garden that will take up 288 square feet of his yard. Simplify $\sqrt{288}$ to determine the length and the width of his garden. Round to the nearest tenth of a foot.
• ⓑ Suppose Elliott decides to reduce the size of his square garden so that he can create a 5-foot-wide walking path on the north and east sides of the garden. Simplify $\sqrt{288}-5$ to determine the length and width of the new garden. Round to the nearest tenth of a foot.

• ⓐ Melissa accidentally drops a pair of sunglasses from the top of a roller coaster, 64 feet above the ground. Simplify $\sqrt{\frac{64}{16}}$ to determine the number of seconds it takes for the sunglasses to reach the ground.
• ⓑ Suppose the sunglasses in the previous example were dropped from a height of 144 feet. Simplify $\sqrt{\frac{144}{16}}$ to determine the number of seconds it takes for the sunglasses to reach the ground.

Suzy wants to use square tiles on the border of a spa she is installing in her backyard. She will use large tiles that have area of 12 square inches, medium tiles that have area of 8 square inches, and small tiles that have area of 4 square inches. Once section of the border will require 4 large tiles, 8 medium tiles, and 10 small tiles to cover the width of the wall. Simplify the expression $4\sqrt{12}+8\sqrt{8}+10\sqrt{4}$ to determine the width of the wall. (Round to the nearest tenth of an inch.)

A square garden will be made with a stone border on one edge. If only $3+\sqrt{10}$ feet of stone are available, simplify ${\left(3+\sqrt{10}\right)}^{2}$ to determine the area of the largest such garden. Round your answer to the nearest tenth of a foot.

A garden will be made so as to contain two square sections, one section with side length $\sqrt{5}+\sqrt{6}$ yards and one section with side length $\sqrt{2}+\sqrt{3}$ yards. Simplify ${\left( \sqrt{5}+\sqrt{6} \right)}^{2}+{\left( \sqrt{2}+\sqrt{3} \right)}^{2}$ to determine the total area of the garden. Round your answer to the nearest tenth.