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
Rufina [12.5K]
3 years ago
13

Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s

um of the third and nine times the second is 1
Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

KatRina [158]3 years ago
3 0

Answer:

3,-1,10

Step-by-step explanation:

let the numbers be x,y,z.

x+y+z=12

x+2y+3z=31

z+9y=1

z=1-9y

subtract 1st from 2nd

y+2z=19

y+2(1-9y)=19

y+2-18y=19

-17 y=17

y=-1

z=1-9(-1)=1+9=10

x-1+10=12

x=12+1-10=3

You might be interested in
chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number
Alborosie

Answer:

she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.

Step-by-step explanation:

first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.

then minus 120 from 122 which gives 2 remaining cookies

8 0
3 years ago
PLS HELP WILL GIVE BRAINIEST these figures are congruent
geniusboy [140]

Answer:

C

Step-by-step explanation:

Answer is C, only need to move it up and to the right through translation.

3 0
3 years ago
3in x 8in x 5in = ?<br><br> using cubic squares!!
KonstantinChe [14]

Answer:

120

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1. Solve for x.<br> 12<br> 10<br> X<br> 5
Andru [333]
We can use proportions
12/x = 10/5
12*5 = 10x
60 = 10x
x = 6

Check
12/6 = 10/5
2 = 2
3 0
2 years ago
A rectangular pool contains 920 cubic meters of water. the pool is .4 meter deep and 100 meters wide. How long is the pool?
LekaFEV [45]
Hi there,

Sol:
Length of the swimming pool = 260 m
Breadth of the swimming pool = 140 m

Let the height of the water in the swimming pool after pouring water be h meters.

Volume of the water poured = 54600 m3

l x b x h = 54600
260 x 140 x h = 54600
h = (54600) / (260 x 140)
h = 1.5 m = 150 cm

Hope it helps
5 0
3 years ago
Other questions:
  • Square root of 40<br><br>40<br>1, 40<br>2, 20<br>4, 10<br>5, 8
    6·1 answer
  • Question 7 (5 points)
    14·1 answer
  • 243/8-(541/8)= how to solve it
    12·1 answer
  • What are bookmark numbers
    6·2 answers
  • Can someone please help me?? I'm begging...
    14·1 answer
  • The mean length of 9 childrens' big finger is 6.8cm.
    15·1 answer
  • Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 9 hours to drain the pool by itself,
    7·1 answer
  • Diane receives $20,000 from her Uncle Al when he dies. She deposits it into an account with
    11·1 answer
  • Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books aresimilar in weight, about how much does each book
    10·2 answers
  • PLEASE HELP ILL GIVE BRAINLIEST!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!