1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 w
Marat540 [252]

Answer:

She makes $1041 in 2 weeks

Step-by-step explanation:

First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.

17.35x6=104.1

She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week

104.10x5=520.50 a week

Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2

520.5x2=1041

She makes $1041 in 2 weeks

5 0
3 years ago
Jackson is designing a new heater, and he wants to experiment with different thermally conductive materials. Which of these mate
zubka84 [21]
The answer is D: aluminum.
7 0
3 years ago
Read 2 more answers
Someone help me for this algebra task please
Gekata [30.6K]

Answer:

200

Step-by-step explanation:

Substitute 15 for y

\frac{1}{5} x -  \frac{2}{3} (15) = 30

\frac{1}{5} x - 10 = 30

\frac{1}{5} x = 40

x = 200

3 0
3 years ago
If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment
Fittoniya [83]

Answer:

Equation of midsegment line: y = (-1/4)x + 2.

Step-by-step explanation:

If the parallel sides of a trapezoid are contained by the lines:-

y = (-1/4)x +5 and y = (-1/4)x - 1

Midsegment of any trapezoid is the line segment

1. that is parallel to pair of parallel side of trapezoid and

2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.

It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.

So y = mx + b

where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.

Hence, the equation of midsegment would be y = (-1/4)x + 2.

6 0
3 years ago
How many solutions does the equation have?
snow_lady [41]

5(n - 2) = 5n - 10 \\  \\ 5n - 10 = 5n - 10 \\  \\ 5n - 10 + 10 = 5n - 10 + 10 \\  \\ 5n = 5n \\  \\

Infinite solutions. This equality is true for any value of n.

a.

6 0
2 years ago
Other questions:
  • Solve for j.<br>-13j - 20 = -8j + 20​
    9·1 answer
  • A poll of 61 students found that 22% were in favor of raising tution to pave new parking lots. The standard deviation of this po
    5·1 answer
  • A line has a slope of \large \frac{5}{3}. Which of the following points could this line pass through?
    8·1 answer
  • Find a quadratic function in standard form for each set of points
    13·1 answer
  • I need help. also can you please explain your answer.​
    6·1 answer
  • -6.3x+14 and 1.5x-6<br> answer in simplified form
    15·1 answer
  • Can someone help me? Pleaseeeee
    8·1 answer
  • A chocolate chip cookies recipe calls for 4 and 1/4 cups of chocolate chips to make 10 dozen cookies Based on this recipe, how m
    9·2 answers
  • I'm getting different answers to this question and I'm so confused-
    12·2 answers
  • Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!