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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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V125BC [204]
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Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1. 

Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set. 

5 0
3 years ago
Translate this sentence into an equation.<br> 108 is the product of Carlo's age and 6.
NeTakaya

Answer:

Step-by-step explanation:

Let Carlo's age =  x

Equation: 6*x = 108

               6x = 108

Solution:

6x = 108

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8 0
3 years ago
Read 2 more answers
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yarga [219]

Answer:

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Step-by-step explanation:

7 0
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Westkost [7]

Answer:

see attached

Step-by-step explanation:

The graph is a series of horizontal lines. A solid dot goes wherever there is an "or equal to" symbol in the inequality. An open dot goes where the point is not included in the function definition (but nearby points are).

7 0
3 years ago
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