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#### Write the ratio in simplest form using a fraction

###### Math

1. Write the ratio in simplest form using a fraction.
Family Budget (\$)
Housing Food Transportation Taxes Utilities Miscellaneous Total
1,600 700 600 900 200 800 4,800
Use the table to find the ratio of miscellaneous costs to total expenses.
2. Write the ratio in simplest form using a fraction. A house with an original value of \$180,000 increased in value to \$260,000 in 5 years. What is the ratio of the increase in value to the original value of the house?
3. Write the expression as a unit rate. 100 m in 8 s
4. The space shuttle's solid rocket boosters were pairs of rockets used during the first 2 min of powered flight. Each booster burns 720,400 kg of propellant in 2.5 min. How much propellant (in kg) does each booster burn in 1 min?
5. An e-mail tracking company compiled the following estimates on consumer use of e-mail worldwide (data for 2021 are estimated).
Year Number of users
(in millions)
Messages per day
(in billions)
2017 2,851 219.8
2019 3,193 244.9
2021 3,482 275.7
(a)
Complete the last column of the following table by calculating the estimated number of messages per day that each user receives. Round to the nearest tenth.

Year Number of users
(in millions)
Messages per day
(in billions)
Messages per person
per day
2017 2,851 219.8
2019 3,193 244.9
2021 3,482 275.7
(b)
The predicted number of messages per person per day in 2021 is how many times the estimated number in 2017? Round to the nearest hundredth.
times greater
6.
Use the table below to answer the following question.
Exchange Rates per U.S. Dollar
Mexican peso 18.0774
Australian dollar 1.31545
Israeli shekel 3.54239
Swedish krona 8.42484
If an Australian contractor ordered \$300,000 U.S. dollars worth of steel from an American company, what is the cost of the steel in Australian dollars?
7. A guideline recommended by some financial advisors is that the ratio of the monthly cost for housing to monthly income should be less than 3 to 10. Does a veterinary technician who earns \$2,100 per month and pays \$700 per month for rent meet the recommended guideline? (See Example 1 in this section.)
8. Convert 18 ft to yards. (See Example 1 in this section.)
9. Convert 0.35 m to millimeters. (See Example 4 in this section.)
10. Convert 8 kl 192 L to liters. (See Example 6 in this section.)