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2 years ago

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 25. Find the number.

Mathematics

1 answer:

LenKa [72]2 years ago

6 0

Answer: the number = 6

Step-by-step explanation:

Let x be the number.

Set equation according to the information given

2 + 8x = 2 × 25

Simplify by multiplication

2 + 8x = 50

Subtract 2 on both sides

2 + 8x - 2 = 50 - 2

8x = 48

Divide 8 on both sides

8x / 8 = 48 / 8

$\boxed {x=6}$

Hope this helps!! :)

Please let me know if you have any questions

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deff fn [24]

Answer:

y= -4x-6 is the required equation.

Step-by-step explanation:

Lets take (0,-6) and (1,-10)

now

slope = (y2-y1)/(x2-x1)

= ((-10+6)/(1-0)

= -4/1

so, m = -4

again

y=mx+c

or, -10=-4×1+c

or, -10 = -4+c

so, c = -6

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2 years ago

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Answer:

x intercept = 16

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Step-by-step explanation:

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3 years ago

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

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Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

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The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

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shtirl [24]

R - 3 < 5
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Allushta [10]

Answer:

one solution

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