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chubhunter [2.5K]

3 years ago

13

Which algebraic expression is equivalent to the expression below?

1 answer:

V125BC [204]3 years ago

4 0

Let's simplify step-by-step.<span><span>5<span>(<span><span>4x</span>+3</span>)</span></span>+<span>5<span>(<span>9−x</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span>(5)</span><span>(<span>4x</span>)</span></span>+<span><span>(5)</span><span>(3)</span></span></span>+<span><span>(5)</span><span>(9)</span></span></span>+<span><span>(5)</span><span>(<span>−x</span>)</span></span></span></span><span>=<span><span><span><span><span>20x</span>+15</span>+45</span>+</span>−<span>5x</span></span></span>Combine Like Terms:<span>=<span><span><span><span>20x</span>+15</span>+45</span>+<span>−<span>5x</span></span></span></span><span>=<span><span>(<span><span>20x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(<span>15+45</span>)</span></span></span><span>=<span><span>15x</span>+<span>60

Answer is B</span></span></span>

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gogolik [260]

I think it’s the second answer but just look at the inequality

5 0

3 years ago

Solve for x: 2|2x − 2| + 4 = 20.

barxatty [35]

<span><span>Subtract 4 from both sides of the equation.
<span>2<span>|2x−2|</span>=16</span></span><span>Divide both sides of the equation by 2.
<span><span>|2x−2|</span>=8</span></span><span>Set 2x-2 equal to positive and negative 8.
<span>2x−2=8,2x−2=−8</span></span><span>Solve both equations for x.
<span>x=5,−<span>3</span></span></span></span>

8 0

3 years ago

Read 2 more answers

Help? (7th Grade Math)

andrezito [222]

Answer:

V ≈ 714 in³

Step-by-step explanation:

The volume of a triangular prism can be found using the formula:

V = Bh, where B = the area of the base and h = the height of the prism. Since the base is a triangle, you will need to use the formula for area of a triangle: A = $\frac{1}{2}$ bh.

In this figure, the base of the triangle = 23.25 and the height of the triangle is 10.25. So, the area = ( $\frac{1}{2}$ )(23.35)(10.25) ≈ 119 in²

With the B = 119 and the height of the prism = 6:

V = 119(6) = 714 in³

5 0

4 years ago

Read 2 more answers

1/2 x (6 x 4) ÷ 3 + 2

Vlad1618 [11]

Answer:

6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve this system of linear equations. Separate

attashe74 [19]

Answer:

$(-\frac{7}{13},\frac{79}{13})$

Step-by-step explanation:

Given:

Two equations are given.

$- 7x + 3y = 22$ ------(1)

$4x + 2y = 10$ ----------(2)

Solve equation 1 for y.

$- 7x + 3y = 22$

$3y = 22+7x$

$y=\frac{22+7x}{3}$ -----------(3)

Now, we substitute y value in equation 2.

$4x + 2(\frac{22+7x}{3}) = 10$

$\frac{12x + 2(22+7x)}{3} = 10$

$12x + 2(22+7x)=10\times 3$

$12x + 44+14x=30$

$26x=30-44$

$26x=-14$

$x=-\frac{14}{26}$

$x=-\frac{7}{13}$

Now, we substitute x value in equation 1.

$- 7(-\frac{7}{13}) + 3y = 22$

$\frac{7\times 7}{13} + 3y = 22$

$\frac{49}{13} + 3y = 22$

$3y = 22-\frac{49}{13}$

$3y = \frac{13\times 22-49}{13}$

$3y = \frac{286-49}{13}$

$y = \frac{237}{13\times 3}$

$y = \frac{237}{39}$

$y = \frac{79}{13}$

Therefore, the value of x and y is $(x=-\frac{7}{13},y = \frac{79}{13})$

7 0

4 years ago