Nate rented a power washer and a generator. on his first job, he used each piece of equipment for 6 hours which cost $90. on his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. what's the hourly cost of each piece of equipment?

the hourly cost of renting a power washer is $5

the hourly cost of renting a generator is $10

Step-by-step explanation:

Let x represent the hourly cost of renting a power washer.

Let y represent the hourly cost of renting a generator.

On his first job, he used each piece of equipment for 6 hours which cost $90. This means that

6x + 6y = 90 - - - - - - - - 1

On his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. This means that

4x + 8y = 100 - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 6, it becomes

24x + 24y = 360

24x + 48y = 600

Subtracting, it becomes

- 24y = - 240

y = - 240/-24 = 10

Substituting y = 10 into equation 1, it becomes

6x + 6 × 10 = 90

6x + 60 = 90

6x = 90 - 60 = 30

x = 30/6 = 5

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.