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
tigry1 [53]
3 years ago
14

The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i

s 35. The difference between 8 times the first number and the second number is 52. What are the three numbers?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

You might be interested in
Which value of a in the exponential function below would cause the function to stretch?
shutvik [7]
A would have to be greater than 1 to get a vertical stretch
4 0
3 years ago
Read 2 more answers
Megan wants to change her Internet Service Provider.
Lera25 [3.4K]

Good for Megan............

4 0
2 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the values of
soldier1979 [14.2K]

Step-by-step explanation:

I am not sure this is a square.

this could be a rectangle.

to be safe, I am following that path.

in a rectangle opposite sides are of equal length.

that means

y - 1 = 2y - 7

y = 2y - 6

0 = y - 6

y = 6

3x - 4 = 3y - 13

3x - 4 = 3×6 - 13

3x - 4 = 18 - 13 = 5

3x = 9

x = 3

as it turns out, it is a square, so we could have used every side expression to be equal with every other side expression, but better safe than sorry ...

5 0
2 years ago
Please help me.....
Rina8888 [55]

Answer: The last answer is correct

Step-by-step explanation:

BAC and BCA are the same because A=70 degrees B=70 degrees.

if the top looks exactly like the bottom or vise versa, its the same degree.  

7 0
3 years ago
Juan has 12 muffins. He puts 1/4 of the muffins in a bag. How many muffins does Juan put in the bag?
Kitty [74]
12 divided my four is 3. So three is your answer.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can somebody help asap
    8·1 answer
  • PLEASE HELP ME!!! I don’t know the answer and I have to show my work!!!
    12·2 answers
  • What are the domain and ra<br> range of the function (x) = 4x+52
    11·1 answer
  • How can you solve this math problem <br> 2/7y+5=9
    12·2 answers
  • Subtract 4 1/5 - 3/4
    12·1 answer
  • Write a proof for the biconditional using the inverse and contrapositive.
    6·1 answer
  • 1) What operation is represented in the expression 4(x+4)?
    8·2 answers
  • If 5 and 12 are the two smallest values in a Pythagorean triple, what is the largest value, c, in the triple?
    15·2 answers
  • What is the area of this polygon?<br> A) 24 cm2<br> B) 16 cm2<br> C) 40 cm2<br> D) 18 cm2
    7·2 answers
  • If A={1,2,3}, find the relation in A×S satisfying the condition x+y&lt;5.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!