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
Lelechka [254]
3 years ago
14

One number is 9 more than 3 times another. If their difference is 29, what is the larger number?

Mathematics
2 answers:
vfiekz [6]3 years ago
6 0

Answer:

39

Step-by-step explanation:

x-3y=9

x-y=29

subtract

-2y=-20

y=10

x-10=29

x=39

hodyreva [135]3 years ago
3 0

Answer:

<h2>39</h2>

Step-by-step explanation:

x,y-\text{numbers}\\\\\text{One number is 9 more than 3 times another:}\ x=3y+9\\\text{Their difference is equal to 29:}\ x-y=29\\\\\text{We have the system of equations}\\\\\left\{\begin{array}{ccc}x=3y+9&(1)\\x-y=29&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(3y+9)-y=29\\3y+9-y=29\qquad\text{subtract 9 fro both sides}\\3y-y+9-9=29-9\qquad\text{combine like terms}\\2y=20\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{20}{2}\\y=10\\\\\text{Put it to (1):}\\x=3(10)+9\\x=30+9\\x=39

You might be interested in
Based on the data set shown, which of the following is a true statement?
patriot [66]
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode

Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
   = (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
   = 1

Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
   = <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
   = [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]

Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
</span>
3 0
3 years ago
Read 2 more answers
How many roots does the following equation have? f(x) = 4x5 - 16x4 + 17x3 - 19x2 + 13x - 3 = 0
Anarel [89]
It has 5 roots. You can determine this by the degree of the polynomial
4 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they
Vesna [10]

Answer:

g

Step-by-step explanation:

7 0
3 years ago
Which expression is equal to 54⋅58 ? <br> 512 54 52 5−4
nignag [31]
Not sure if it's one of the answer you listed.
The • means multiplication, so it would be
54 times 58, which equals 3,132.
7 0
3 years ago
Read 2 more answers
What method do you use to find the least common factor of a group of four numbers? Explain and give an example
Lina20 [59]
Shoot i dont know but i would say 18
3 0
3 years ago
Other questions:
  • Create a factor of a polynomial with the GCF of 3x
    6·1 answer
  • HELP PLZ ASAP!!! I will attach the work below once this is posted.
    10·1 answer
  • 9x&gt;−18 how to solve for x?
    12·1 answer
  • What is 2y(x+4x-2x^2-8) completely factored
    5·1 answer
  • Write this trinomial in factored form 6y^2 - 17y + 5
    5·1 answer
  • Square inch for 30 stones
    8·1 answer
  • Solve for c.<br><br> 3 − 7c − 20c = 7(–7c − 19) + 14c<br><br> c =
    14·2 answers
  • If the federal reserve decreases the reserve rate from 10% to 80% how does this affect the amount of money that would result bec
    8·1 answer
  • Please help worth 10 points
    12·1 answer
  • What is the common ratio in this recursive definition ?<br><br> HELP PLEASE
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!