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3 years ago

9

The amount of money earned varies directly with the number of hours spent babysitting. If kayla babysits for 3 hours, she will e

arn $27. How much will she earn if she babysits for 4 hours?

1 answer:

Alex777 [14]3 years ago

6 0

$\text{To make this question easier, lets find how much she makes in 1 hour}\\\\\text{We know that she makes 27 dollars in 3 hours, so divide 27 by 3}\\\\27\div3=9\\\\\text{Now we know that she makes \$9 an hour, we can find how much}\\\text{she makes in 4 hours:}\\\\9\cdot4=36\\\\\boxed{\$36}$

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Solve the following equation: 4(8x + 2) = 72

Iteru [2.4K]

The x is 2 :) I hope it’s right! I’m pretty sure it is though !

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2 years ago

Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot

DedPeter [7]

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

3 0

2 years ago

∠A and \angle B∠B are vertical angles. If m\angle A=(6x-11)^{\circ}∠A=(6x−11) ∘ and m\angle B=(5x+4)^{\circ}∠B=(5x+4) ∘ , then f

ICE Princess25 [194]

Answer: $\angle B=79^{\circ}.$

Step-by-step explanation:

When two lines cross each other , then the opposite angles are known as vertical angles.

Vertical angles are equal.

Here, ∠A and ∠B are vertical angles.

So, ∠A = ∠B

If $\angle A=(6x-11)^{\circ}$ and $\angle B=(5x+4)^{\circ}$

Then , $6x-11=5x+4$

Subtract 5x from both sides, we get

$x-11=4$

Add 11 on both sides, we get

$x=15$

Now , $\angle B=(5(15)+4)^{\circ}=79^{\circ}$

Hence, the measure of $\angle B=79^{\circ}.$

3 0

2 years ago

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How do you need help?

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2 years ago

Question 2 (4 points)

Yakvenalex [24]

The answer is a. y=3/4x + 4

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2 years ago