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Sedaia [141]
3 years ago
14

Solve the proportion. I need to show much work so a step by step explanation would help!

Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

<em>Solution: x=5</em>

Step-by-step explanation:

<u>Equations</u>

This is an equation in the form of a proportion or ratio:

\displaystyle \frac{2}{x+3}=\frac{5}{4x}

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}

Simplify both sides:

(4x)*2=(x+3)*5

Operate:

8x=5x+15

Simplify:

3x=15

Solve for x:

x=15/3=5

Solution: x=5

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Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily ex
mel-nik [20]

Answer:

The answer is 14 weeks


6 0
3 years ago
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
Alekssandra [29.7K]

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

36 + 75 + m∠N = 180

111 + m∠N = 180

m∠N = 69°

4 0
3 years ago
ABCD is a parallelogram. Which statements are true?
jekas [21]

Answer:

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

<em>If this helped you please rate </em>

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

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5 0
3 years ago
-
gizmo_the_mogwai [7]

Answer:

4

Step-by-step explanation:

on edg

5 0
3 years ago
Read 2 more answers
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