MATHEMATICS MIDDLE SCHOOL

What is the solution to the equation? 4(x – 3) = 7x + 24 A. x = 12 B. x = –12 C. x = –36 D. x = 4

Answers

Answer 1
Answer:

Simplify both sides of the equation

4(x-3) = 7x+24

4x-12 = 7x+24

Subtract 7x from both sides

4x-12-7x= 7x+24-7x

-3x-12= 24

Add 12 to both sides

-3x-12+12 = 24+12

-3x=36

Divide both sides by -3

-3x/-3= 36/-3

x = -12

Answer : B


I hope that's help !


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Answers

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A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as shown.What is the length of the ramp? Round your answer to the nearest tenth of a foot.



A.
15.8 ft

B.
14.1 ft

C.
16.0 ft

D.
20.0 ft

Answers

To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
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So the ramp is:
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Now round the number: 
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The above is the answer :)
(btw sorry in advance if you've spotted a mistake)

How do you solve the equation 5/x= x-4

Answers

Answer:

x=5

Step-by-step explanation:

write x - 4 as a fraction with denominator = 1

 

5/x = (x - 4)/1

 

Now cross multiply

 

x(x - 4) = 5    multiply out and collect all terms on the left side of the equal sign

 

x2 - 4x - 5 = 0    factor the quadratic into two binomials

 

(x - 5)(x + 1) = 0   the product of two numbers = 0 when either number is zero

 

Therefore x = 5 or x = -1

 

Please help me on this.

Answers

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