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charle [14.2K]
3 years ago
6

Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour. Sally's surfboards does not charge a fee,

but they cost $15.50 per hour. At how many hours will the cost be the same to rent a surfboard for each shop?
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

12 hours

Step-by-step explanation:

Let the number of hours be represented as h.

Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.

Mathematically ,

60 + 10.50h

Sally's surfboards does not charge a fee, but they cost $15.50 per hour

Mathematically,

15.50h

Equating both equations together

60 + 10.50h = 15.50 h

Collect like terms

60 = 15.50h - 10.50h

60 = 5h

h = 60/5

h = 12 hours

Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.

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If the fraction (352/x-10) is equivalent to -22, find the value of x.
Tcecarenko [31]

Answer:

The value of x is -6

Step-by-step explanation:

Let us equate the fraction by its equivalent

∵ \frac{352}{x-10} = -22

→ Multiply both sides by (x - 10) to cancel the denominator of the left side

∴  \frac{352}{x-10}  × (x - 10) = -22 × (x - 10)

∴ 352 = -22(x - 10)

→ Simplify the right side by multiplying -22 by the bracket (x - 10)

∵ 352 = -22(x) - 22(-10)

∴ 352 = -22x + 220

→ Add 22x to both sides

∵ 22x + 352 = -22x + 22x + 220

∴ 22x + 352 = 220

→ Subtract 352 from both sides

∴ 22x + 352 - 352 = 220 - 352

∴ 22x = - 132

→ Divide both sides by 22 to find x

∴ \frac{22x}{22}=-\frac{132}{22}

∴ x = -6

∴ The value of x is -6

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Step-by-step explanation:

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