3 years ago

Solve this equation: 9x + 3 = 2(x - 4) - 3(2x + 5)

Mathematics

1 answer:

Ksju [112]3 years ago

6 0

Answer: 5x

Step-by-step explanation:

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

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3 years ago

NEEEDDD ASAPPP! Eight theater has 500 seats the 3/4 of the seats are filled how many seats are filled?

Anton [14]

3/4=0.75
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375 of the 500 seats are filled

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3 years ago

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Which expressions are equivalent to g + h + (j + k)? Check all that apply.

Paha777 [63]

Answer:

${ \tt{g + h + (j + k)}} \\ = (g + h) + j + k$

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3 years ago

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How do you write 4.092 in expanded notation?

DanielleElmas [232]

4+ 0.0 + 0.09+ 0.002. This should be the expanded notation form.

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3 years ago

I really don’t get this one please i’ve been stuck forvever

expeople1 [14]

Answer:

ASA

Step-by-step explanation:

The Angle Side Angle Postulate (ASA) says that "triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles."

Hope this helps! :)

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1 year ago

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