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A cheetah running 90 feet per second is 100 feet behind a gazelle running 70 feet per second. How long will it take the cheetah to catch up to the gazelle? Use the verbal model to write and solve a linear equation. Speed of cheetah \( \cdot \text { Time }=100+\text { Speed of gazelle } \cdot\text { Time }\)

The diagram shows the orbits of Jupiter’s four largest moons: Io, Europa, Ganymede, and Callisto. The orbits are circular. Io’s orbit is x kilometers (km) from Jupiter. The distance between Io and Europa is 300,000 km. The distance between Europa and Ganymede is 400,000 km. The distance between Ganymede and Callisto is 800,000 km. The distance from Jupiter to Callisto is \(4 \frac{3}{4} x,\) or \(4 \frac{3}{4}\) times the distance from Jupiter to Io. Find the distance \(x\) between Jupiter and Io, using the equation \(x+300,000+400,000+800,000=4 \frac{3}{4} x\)

Use the table. It shows all the activity in a checking account during June. Deposits are positive and withdrawals are negative. $$ \begin{array}{|c|c|} \hline \text { Day } & {\text { Activity }} \\ \hline \text { June 6 } & {-\$ 225.00} \\ \hline \text { June 10 } & {+\$ 310.25} \\ \hline \text { June 17} & {+\$ 152.33} \\ \hline \text { June 25 } & {-\$ 72.45} \\ \hline \text { June 30 } & {-\$ 400.00} \\ \hline \end{array} $$ What was the total change in the account balance over the course of the month?

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$-7 a-9=6$$

Write the numbers in order from least to greatest. (Skills Review p. 770) $$5.09,5.9,5.1,5.19,5.91$$

Solve \(\frac{1}{3}(7 x+5)=3 x-5\) \((f)-5\) \((0)-\frac{5}{2}\) (H) 10 (J) 15

Solve the equation. Round the result to the nearest hundredth. Check the rounded solution. $$10-3 x=4 x$$

The bill (parts and labor) for the repair of a car is \(\$ 458 .\) The cost of parts is \(\$ 339 .\) The cost of labor is \(\$ 34\) per hour. Which equation could you use to find the number of hours of labor? F) \(34(x+339)=458\) G) \(34+339 x=458\) H) \(34 x+339=458\) J) \(34+x+339=458\)

Find the product. $$ -3(-12) $$

Write the expression in exponential form. \(a \cdot a \cdot a \cdot a \cdot a \cdot a\)