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sergij07 [2.7K]
4 years ago
8

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimension

s of the rectangle? If x = the width of the rectangle, which of the following equations is used in the process of solving this problem?
Mathematics
2 answers:
suter [353]4 years ago
6 0
If x is the width, and the length is 3 more than twice the width,
the length : 2x+3

Area = length x width

(2x+3)x = 119
By expanding equation, 2 x^{2} +3x = 119
Thus, 2 x^{2} +3x-119=0 
By factorisation, 
(x-7)(2x+17)= 0
x=7 or x= -17/2 (rejected because width cannot be negative)

Thus, the width is 7 and the length is 2(7) +3 = 17
ddd [48]4 years ago
5 0
L = 3 + 2w

119 = w × ( 3 + 2w )
119 = 3w + 2w^2
2w^2 + 3w - 119 = 0
( w - 7 ) ( 2w + 11 ) = 0
w = 7
x = w
x = 7
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Answer:

1.) x = 110

\frac{3}{22} =\frac{15}{x}

So for 3 to become 15 it would have to be multiplied by 5 because 3 x 5 = 15. And if I multiply the numerator by anything I always have to do the same to the denominator. So I multiply 22 x 5 = x. x = 110

\frac{3 * 5}{22*5} =\frac{15}{110}

2.) x = 72

\frac{x}{16} =\frac{9}{2}

For 16 to become 2 it has to be divided by 8 because 16 ÷ 8 = 2. And I have to do the same to the numerator of course, so i have to find x ÷ 8 = 9. I know the answer by memory, but for some it's easier to rewrite this as 9 × 8 = x. x=72

\frac{72}{16} =\frac{9}{2}

3.) c = 24

\frac{3}{5} =\frac{c}{40}

For 5 to become 40 it must be multiplied by 8 because 5 × 8 = 40. I have to multiply 8 by the numerator as well and 3 × 8 = 24. c = 24

\frac{3*8}{5*8} =\frac{24}{40}

5 0
3 years ago
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Can someone show me how to solve this? and what formulas do i use?
guajiro [1.7K]

BLUF: ANS=4.0 ft^2

Arch = Rect - (Sector - Triangle)

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4 years ago
SOMEONE PLEASE TELL ME what is 2+2
vredina [299]

Answer:

4

Step-by-step explanation:

IF EVE HAS 2 APPLES AND SHE GIVES 2 TO AMELIA HOW MANY DOES AMELIA HAVE?

THE ANSWER IS 4!!!!

I'm proud, you're learning so much.

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The denominator of a fraction is 4 more than its numerator.
alukav5142 [94]
<h3>Answer:</h3>

5

<h3>Step-by-step explanation:</h3>

Let n represent the numerator of the original fraction, which is n/(n+4). After adding 1/2, the value is (2(n+4)+1)/(2(n+4)), so we have ...

  n/(n+4) + 1/2 = (2(n+4)+1)/(2(n+4))

Simplifying gives ...

... (2n +(n+4))/(2(n+4)) = (2n +9)/(2(n+4))

Since the denominators are the same, we can work only with the numerators.

  3n +4 = 2n +9

  n = 5 . . . . . . . . . . . subtract 2n+4

_____

<em>Check</em>

The original fraction is 5/(5+4) = 5/9. Adding 1/2 gives ...

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Note the numerator of this last fraction is 1 more than the denominator, which is twice the original denominator.

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4 years ago
At your gym, the bar you lift weighs 45 pounds. You add weights to the bar that are 10 pounds each. If you add 8 weights to the
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