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
Hector works 12 hours per week at a part time job. His original pay rate was $8 per hour, but he recently received a raise of x
Olegator [25]

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

128=12(8+x)

128=(12)(8)+(12)(x)(Distribute)

128=96+12x

128=12x+96

Step 2: Flip the equation.

12x+96=128

Step 3: Subtract 96 from both sides.

12x+96−96=128−96

12x=32

Step 4: Divide both sides by 12.

\frac{12x}{12} =\frac{32}{12}

x=8/3

7 0
2 years ago
Read 2 more answers
A golfer attempts to hit a golf ball over a valley from a platform above the groun
leonid [27]

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

3 0
3 years ago
jonathan had 72 pieces of recycling.he sorted them into 9 bins if each bin had the same amount , how many pieces of recycling we
Mkey [24]
8, 72 pieces of recycling sorted into 9 bins  will make 8 in each bin.
8 0
3 years ago
Read 2 more answers
T-Mobile has a family plan of four lines $120 additional lines are $10 each per month. If Jason wants to spend at most $175 per
Irina-Kira [14]

Answer:

5 lines

Step-by-step explanation:

hope this helps.

5 0
2 years ago
Read 2 more answers
samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used
ella [17]
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
5 0
3 years ago
Other questions:
  • What is the solution to the equation 1/4x-1/8=7/8+1/2
    6·1 answer
  • Betsy made ribbons for school spirit day. Her roll was 30 ft. Long. For each individual ribbon she needed 0.625 ft. How many rib
    12·1 answer
  • Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
    12·2 answers
  • Translate the statement into an inequality<br> 5 more than a number is greater than 12
    11·1 answer
  • ()()PLZZ HELP MY PARENTS SAID I CANT CELEBRATE THANKSGIVING IF THI ISNT DONE PLZZZ HELP IM GIVING 25 DOLLAR AMAZON CARD TO WHOEV
    7·1 answer
  • What equation is equal to 8-2x=12? <br> A)2x-8=-12<br> B)2x-8=12<br> C)x-4=6<br> D)2x=20
    8·1 answer
  • When it is born a kitten weighs 110g when it is two months old it weighs 550g calculate the percentage increase in its mass
    8·1 answer
  • Susie has a bag with 10 hair pins, 7 pencils , 2 snacks and 4 books. What is the ratio of books to pencils?​
    13·1 answer
  • Can someone please help me? I will mark brainliest. Random answers will be reported
    15·1 answer
  • The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!