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liraira [26]
3 years ago
12

the cost of renting a scooter is represented by 3j+5. Write and simplify an expression that represents the cost of renting 6 sco

oters.
Mathematics
1 answer:
wariber [46]3 years ago
3 0

Simplified expression that represents the cost of renting 6 scooters is 18 j +30

<u>Step-by-step explanation:</u>

Given data:

The cost of renting of a scooter is represented by 3j +5

So, from that, we can say in general,

The cost of renting of n scooters is represented by  

                                 n \times(3 j+5)

But according to given, the value of n is 6. i.e. to find the cost for six number of scooters. We can calculate now as follows

So, the cost of renting of a scooter is represented by  

                                 6 \times(3 j+5)=18 j+30

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Now the zero product property tells us that there are two cases where this is true,

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<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
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30 + -6w = 3(-5 + -3w) + 21
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Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
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Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
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Combine like terms: 6 + -30 = -24
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Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
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