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denpristay [2]
3 years ago
8

If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.​

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

9514 1404 393

Answer:

  4/5

Step-by-step explanation:

The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend ...

  \dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by $3(n+7)$}\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract $4n+24$}\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}

The number is 4/5.

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Tell whether the ordered pair (−1, 4) is a solution of the system.
lina2011 [118]

Answer:

(-1,4) is a solution to the system.

Step-by-step explanation:

For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.

(1) -2x - 3y = -10

 -2(-1) - 3(4) ?= -10

 2 - 12 ?= -10

 -10 == -10

(2) -3x + y = 7

 -3(-1) + (4) ?= 7

 3 + 4 ?= 7

 7 == 7

Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system.  Additionally, this means this is a crossing point of the system of equations.

Cheers.

6 0
3 years ago
Help Please I will Give 10 Points And Brainliest!
seropon [69]

Answer:

-64y^{2}

Step-by-step explanation:

You first simplify (-4)^3, then add the exponents of y, which is y^{2}.

5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6, -6) and<br> has a slope of 2/3
Volgvan

Answer:

y=2/3x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2/3(x-(-6))

y+6=2/3(x+6)

y=2/3x+12/3-6

y=2/3x+4-6

y=2/3x-2

3 0
3 years ago
What is the image of ( 1 , 5 ) (1,5) after a reflection over the line y = − x y=−x?
Westkost [7]

The image would be (-1, 5)

6 0
3 years ago
Select the correct answer.
algol [13]

Answer:

its answer C. y=-8

Step-by-step explanation:

y=-8 passes through (-2, -8) and is parallel to y=3 because they're both horizontal

3 0
3 years ago
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