Mrs. Kouris is comparing two generators at Home Depot. The Honda generator contains 60 gallons of fuel and uses 2.5 gallons per hour. The Ryobi generator contains 40 gallons of fuel and uses 1.5 gallons per hour. Write and solve an equation to determine how many hours the generators have to run to have the same amount of fuel

20.

Step-by-step explanation:

Let x = Number of hours take to have the same fuel.

The Honda generator contains 60 gallons of fuel and uses 2.5 gallons per hour.

Fuel remained in generator after x hours = 60- 2.5x

The Ryobi generator contains 40 gallons of fuel and uses 1.5 gallons per hour.

Fuel remained in generator after x hours = 40- 1.5x

As per given,

hence, the required number of hours = 20.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0