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Ne4ueva [31]
4 years ago
11

Proportions please help! ​

Mathematics
2 answers:
matrenka [14]4 years ago
4 0

Answer:

\huge\boxed{x=-12}

Step-by-step explanation:

In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.

Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.

5(x-9)=7(x-3)\\\\5x-45=7x-21

Now we can solve for x.

Subtract 5x from both sides:

-45=2x-21

Add 21 to both sides:

-24=2x

Divide both sides by 2:

x = -12

Hope this helped!

vodka [1.7K]4 years ago
4 0

Answer:

x= -12

Step-by-step explanation:

Step 1: Write equation

\frac{5}{x-3} =\frac{7}{x-9}

Step 2: Solve for <em>x</em>

  1. <u>Cross multiply:</u> 5(x-9)=7(x-3)
  2. <u>Distribute:</u> 5x-45=7x-21
  3. <u>Subtract 5x on both sides:</u> -45=2x-21
  4. <u>Add 21 to both sides:</u> -24=2x
  5. <u>Divide both sides by 2:</u> -12=x
  6. <u>Rewrite:</u> x= -12

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

<em />\frac{5}{-12-3} =\frac{7}{-12-9}<em />

<em />\frac{5}{-15} =\frac{7}{-21}<em />

<em />\frac{-1}{3} =\frac{-1}{3}<em />

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Distributive

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Step-by-step explanation:

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3 years ago
Please help! alg 1! I really need a explaintion fastttt
Gelneren [198K]

Answer:

  1. y = -5x +10
  2. (0, 10)
  3. (1, 5)
  4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

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You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

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4. See attached

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3 years ago
you have 96 feet of fencing to enclose a rectangular pen for your dog. the pen should be three times long as it is wide. write a
swat32

Answer:

length = 36 ft; width = 12 ft

Step-by-step explanation:

Let the width be x.

The length is 3x.

The perimeter is the sum of two lengths and two widths, and it equals 96 ft.

3x + 3x + x + x = 96

8x = 96

x = 12

Width = x = 12 ft

Length = 3x = 3(12 ft) = 36 ft

7 0
3 years ago
Read 2 more answers
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