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2 years ago

Which sentence explains the correct first step in the solution of this equation?

Mathematics

1 answer:

siniylev [52]2 years ago

3 0

Answer:

<h3>B. Apply the distributive property to get 4x-12=9</h3>

$\boxed{\sf{x=\dfrac{21}{4}=5.25 }}$

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

$\Longrightarrow: \sf{A(B+C)=AB+AC}$

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

Therefore, the final answer is x=21/4=5.25.

I hope this helps you! Let me know if my answer is wrong or not.

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What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)

Katyanochek1 [597]

Midpoint Formula: ( $\frac{x+x}{2}$ , $\frac{y+y}{2}$ )
Midpoint = ( $\frac {-4+7}{2}$ , $\frac {-3-5}{2}$ )
Midpoint = ( $\frac {3}{2}$ , $\frac {-8}{2}$ )
Midpoint = ( $\frac {3}{2}$ , -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is ( $\frac {3}{2}$ , -4).
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4 0

3 years ago

Read 2 more answers

Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total nu

mr Goodwill [35]

Answer:

x= 50

Step-by-step explanation:

7/x = 14/100

14x = 700

x = 50

the reason behind my calculations were to get the same ratios and because they gave us percentage and the actual number, we can set them; 14 percent 14/100, however, the 7/x is because we don't know the 100 percent of the coins which is what we look for. Therefore, you cross multiply and get x.

I hope this helped

3 0

3 years ago

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Find the value of x in a triangle . If the hypotenuse of the triangle is 10 , the opposite is x+2 and the adjacent is x.

Sauron [17]

Answer:

x = 6

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0

(x + 8)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

however, x > 0 , then x = 6

8 0

2 years ago

What does 3.92 × 0.051 equal. Plz explain how u found the answer to me

DerKrebs [107]

0.19992 because u need to times the digits

3 0

3 years ago

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Represent each of the following integers on the number line -4,3, -1,10,-8 and -15

MArishka [77]

Answer:

-15, -8, -4, -1, 3, 10

Step-by-step explanation:

On the number line, the integers would be set up as :-

-15, -8, -4, -1, 3, 10

Hope this helps, thank you :) !!

5 0

3 years ago