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2 years ago

Given (3x + 2) : (x - 2) = 7:5, what is thevalue of x?

Mathematics

1 answer:

nikklg [1K]2 years ago

5 0

Answer:

(3x+2)/(x-2)=7/5

5(3x+2)=7(x-2)

15x+10=7x-14

15x-7x=-14-10

8x=-24

X=-24/8

X=-3

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3 years ago

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oee [108]

Answer:

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EASY 7TH GRADE MATH 6 out of 8 dentists recommend crest toothpaste. In a group of 156 dentists, how many of them recommend crest

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2 years ago

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natka813 [3]

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Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

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3 years ago

Answer the question in the pic below (math)

Marta_Voda [28]

Answer:

46.95 in.²

Step-by-step explanation:

Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H

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Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.

Height of prism (H) = 10 in.

Plug in the values

Surface area = 1.95 + 4.5*10 = 46.95 in.²

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2 years ago

Given (3x + 2) : (x - 2) = 7:5, what is thevalue of x?​

Given (3x + 2) : (x - 2) = 7:5, what is thevalue of x?