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]
1 year ago
10

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

Mathematics
1 answer:
Scrat [10]1 year 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
Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3
andrew-mc [135]

Answer:

\frac{12x^4y^4}{3x^2y}=4x^2y^3

Step-by-step explanation:

Consider an element a\neq 0

We know that \frac{a^m}{a^n}=a^{m-n}

Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.

Other Properties of exponents:

a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}

Here, we are required to divide 12x^4y^4 by 3x^2y.

Consider \frac{12x^4y^4}{3x^2y}

We will solve \frac{12}{3}\,,\,\frac{x^4}{x^2}\,,\,\frac{y^4}{y} separately.

Here,

\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3

So, \frac{12x^4y^4}{3x^2y}=4x^2y^3

8 0
2 years ago
a company wants to study the effectiveness of a new pain relief medicine. they recruit 100100100 volunteers with chronic pain. e
Andrej [43]

Completely random design is used in this experiment.

In the given question,

A business wants to investigate the efficacy of a novel painkiller.

100 participants who suffer from chronic discomfort are enlisted.

Each participant takes the brand-new painkiller for two weeks before switching to a placebo for an additional two weeks.

The order of the tablets is chosen at random for each participant, and the subjects are unaware of which pill contains the actual medication.

Each subject's variance in total pain will be measured by researchers.

We have to check what type of experiment design is this.

As we can see in the question that they recruit 100 volunteers with chronic pain and each subject they use new pain relief medicine for a 2-week period and a placebo for another 2-week period.

They assign each subject randomly.

As we know that in a completely random design, treatments are randomly assigned to sampling material. The usual method for doing this is to make a list of the treatments and give each one a random number.

So we can see that completely random design is used in this experiment.

To learn more about Completely random design link is here

brainly.com/question/17128981

#SPJ1

3 0
1 year ago
Identify a like that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.
stealth61 [152]

Answer: x=6

Step-by-step explanation: move 6 spaces and you get the same vertices

4 0
3 years ago
The initial population of a town is 2600, and he grows with the doubling time of 10 years. What will the population be in 12 yea
ira [324]
I think it would be 5,720, because if you figure every year the population grows 260, then 2600x2 would be doubled then add the 2 years missing so add 260+260. It would equal 5,720. 
3 0
3 years ago
Write the quadratic equation whose roots are, -4 and 6 and whose leading coefficient is 4
Hitman42 [59]

\begin{cases} x=-4\implies &x+4=0\\\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+4)(x-6)=\stackrel{y}{0} \\\\\\ (x^2-2x-24)=\stackrel{y}{0}\implies 4(x^2-2x-24)=\stackrel{y}{0}\implies {\Large \begin{array}{llll} 4x^2-8x-96=y \end{array}}

Check the picture below.

6 0
1 year ago
Other questions:
  • If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
    6·1 answer
  • Which is used by scientists as evidence that earths inner core is solid?
    7·2 answers
  • Need some help!!! Simplify: (3x^2y)*(5x^3y^2)
    8·1 answer
  • A(a+5) expand and simplify
    14·2 answers
  • Please help. i will give brainliest. please just give it a try ur geuss is as good as mine
    10·2 answers
  • Does anyone know the answer to the question below.
    12·1 answer
  • Pani Natalia kupiła 30 kg jabłek za 75 zł i 16 kg ogórków za 104 zł. Oddała sąsiadce 2/5 (dwie piąte) jabłek i 2/5 ogórków. Jaka
    14·1 answer
  • PLEASE HELP ME AND MY FRIEND WITH THIS PROBLEM!!​
    15·2 answers
  • HELPPPPppPPppPpP MeEEEeEEEE PLEASEEEEeEeeEEe
    15·1 answer
  • What is the exact volume of the cylinder?<br> Enter your answer, in terms of it, in the box.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!