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
docker41 [41]
2 years ago
10

Solve for b a equals A=3(b + C)

Mathematics
1 answer:
Scrat [10]2 years ago
8 0

Answer: Correct option is A)

It is given that a:(b+c)=1:3 and c:(a+b)=5:7 and we solve these expressions

Step-by-step explanation:

b+c

a

​

=

3

1

​

⇒3a=b+c

⇒3a−b=c....(1)

a+b

c

​

=

7

5

​

⇒7c=5(a+b)

⇒7c=5a+5b....(2)

Multiplying the first equation by 7 we get:

7(3a−b)=7c

⇒7c=21a−7b....(3)

Now, subtracting equation 2 from equation 3, we have:

7c−7c=(21a−7b)−(5a+5b)

⇒0=21a−7b−5a−5b

⇒16a=12b

⇒b=

12

16a

​

⇒b=

3

4a

​

Substituting the value of b in equation 1:

3a−

3

4a

​

=c

⇒c=

3

9a

​

−

3

4a

​

⇒c=

3

9a−4a

​

⇒c=

3

5a

​

Now, lets find the value of b:(a+c) as shown below:

a+c

b

​

=

a+

3

5a

​

3

4a

​

​

=

3

3a

​

+

3

5a

​

3

4a

​

​

=

3

8a

​

3

4a

​

​

=

3

4a

​

×

8a

3

​

=

8a

4a

​

=

2

1

​

=1:2

hence, b:(a+c)=1:2.

You might be interested in
URGENT, PLZ HELP ASAP! TYSM! Plz help solve without using algebra plz, my teacher wouldn’t allow us to use it.
d1i1m1o1n [39]
First, divide 4960 by 3 and assign the answer to all three containers. Then, subtract 4 from L and add 4 to J.

4960/3=1653.3
J=1657.3
K=1653.3
L=1649.3





3 0
3 years ago
All of 5 students got a 50% on the test, what is the average
Citrus2011 [14]
Isn’t still 50%? I think I’m wrong someone tell me if I’m wrong
4 0
2 years ago
No links or trolls please. I need help with this math, it’s due soon. Thanks you. It’s a division sign by the way, it’s hard to
xxTIMURxx [149]

Answer:

n^2p

Step-by-step explanation:

Thats the answer

3 0
3 years ago
Find the least common multiple of 12 and 18?
Evgesh-ka [11]
36 is the correct answer
8 0
2 years ago
Sasha is the manager at a factory.
FromTheMoon [43]

Answer:

Hi

I think the answer is 80 employees.

Step-by-step explanation:

15 employees - 390 wardrobes

Therefore 1200 divided by 15 equals 80

7 0
3 years ago
Other questions:
  • What is 6 persent of 3600
    5·2 answers
  • Please answer this question:)
    10·2 answers
  • Suppose that 13 inches of wire costs 52 cents at the same rate how many inches of wire can be bought for 24 cents
    15·2 answers
  • You are traveling down the interstate averaging 50 mph. How much time has passed when you have traveled 120 miles?
    7·2 answers
  • Find the slope of y-2=4(x-10)
    7·1 answer
  • If b = the number of blue bikes, which algebraic expression represents the
    5·2 answers
  • Express the number 0.00001038 in scientific notation
    5·1 answer
  • Need helppp ASAP!!!!!
    9·2 answers
  • Don't know this please help me
    7·1 answer
  • Help me please I beg you
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!