Write each ratio in simplest terms. a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.

Acertain population of bacteria demonstrates exponential growth doubles in size every 4 days. how long will it take the population to triple in size?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?