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
Ymorist [56]
3 years ago
8

Three times the sum of a number and 4 is 8 less than one-half the number. Write and solve equation to find the number.

Mathematics
2 answers:
Paraphin [41]3 years ago
5 0
<h3>Given</h3>

3 times the sum of a number and 4 is 8 less than half the number.

<h3>Find</h3>

an equation for the number

the number

<h3>Solution</h3>

Translating the given description to math symbols, we have

... 3(n +4) = -8 + n/2 . . . . . the equation

Eliminate parentheses

... 3n + 12 = -8 + n/2

... 3n = -20 + n/2 . . . . . . . subtract 12

... 2.5n = -20 . . . . . . . . . . subtract n/2

... n = -20/2.5 = -8 . . . . . divide by the coefficient of n

The number is -8.

_____

<u>Check</u>

3(-8+4) = -8 + (-8)/2

3(-4) = -8 -4

-12 = -12 . . . . . . . . . . . the answer works in the original problem

gizmo_the_mogwai [7]3 years ago
4 0

3(x+4)=(1/2)x-8 => 3x+12=(1/2)x-8 we will multiply equation with number 2 and we get 6x+12 = x-16 => 6x-x=-16-24 => 5x=-40 => x=-8

Good luck!!!

You might be interested in
Give brainly plsssss help meeee
irina1246 [14]

Answer:

the answer is 48, or the second choice B

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Solve x-15=8 Help! Thank you!
Bezzdna [24]

x-15 = 8

add 15 to each side

x = 23

3 0
3 years ago
Read 2 more answers
Julio bought a total of 20 medium and large pumpkins. If he spent $53 and bought 6 more large pumpkins as medium pumpkins, how m
Tatiana [17]
20 medium and large pumpkins

m ... number of medium pumpkins
l ... number of large pumpkins

20 = m + l
20 = m + (m + 6)
20 = 2 * m + 6
2 * m = 20 - 6
2 * m = 14
m = 7 medium pumpkins

l = 20 - 7 = 13 large pumpkins

Result: Julio bought 13 large pumpkins.
5 0
3 years ago
What is the opposite -2/5
Yuri [45]

Answer:

it would be a positive 2/5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o
olasank [31]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

Step-by-step explanation:

Information given

\bar X=9.41 represent the sample mean

s=0.24 represent the sample standard deviation

n=81 sample size  

\mu_o =9.33 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:  

Null hypothesis:\mu \leq 9.33  

Alternative hypothesis:\mu > 9.33  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

4 0
4 years ago
Other questions:
  • The Mississippi River flows at a rate of 16,790 cubic meters per second. Choose the best approximation of the flow rate of the M
    12·1 answer
  • The Jones family bought 3 drinks (d) and 3 snacks (s) for $21. The Davis family bought 2 drinks (d) and 3 snacks (s) for $18. Le
    5·1 answer
  • seal had a balance of negative $4 in his saving account after making a deposit he has $25 in his account what is the overall cha
    11·1 answer
  • How to write the slope intercept form of the equation of the line through the given points?
    15·1 answer
  • Find the value of x in the triangle shown below.<br> 9<br> 12
    10·2 answers
  • If m3 is 52°, what is the measure of its vertical angle?
    12·1 answer
  • Which one is it I need to know quick and I’ll mark you Brainly
    8·1 answer
  • What is the answer for 5 × [(8 + 2) − (16 − 9)]
    10·1 answer
  • Find the 15th term of the geometric sequence 1, -4, 16, ...1,−4,16,
    5·1 answer
  • A baker decorates 42 cupcakes in 30 minutes how many cupcake can the baker decorate per minutes?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!