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
Rom4ik [11]
3 years ago
6

If c varies directly as (r + 1) and c = 8, when r= 3, calculate the value of r when c= 20.

Mathematics
2 answers:
guapka [62]3 years ago
8 0

c = k(r + 1)

8 = k(3 + 1)

8 = 4k

8/4 = k

2 = k

c=2(r + 1)

When c = 20, then

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Therefore, the value of r is 9 when c is 20..

Aneli [31]3 years ago
5 0

Answer:

r = 9

Step-by-step explanation:

Given that c varies directly as (r + 1) then the equation relating them is

c = k(r + 1) ← k is the constant of variation

To find k use the condition c = 8 when r = 3, then

8 = k(3 + 1) = 4k ( divide both sides by 4 )

2 = k

c = 2(r + 1) ← equation of variation

When c = 20, then

20 = 2(r + 1) ← divide both sides by 2

10 = r + 1 ( subtract 1 from both sides )

9 = r

You might be interested in
A hunter spots a bird on a branch of a tree 8m high. If the hunter is 6m away from the foot of the tree. Find the length between
forsale [732]

Answer:

The length is 2m

Step-by-step explanation:

Subtract the distance of the hunter and the bird and you have your answer, 2 meters

5 0
3 years ago
Previous
Natali5045456 [20]

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

3 0
3 years ago
1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
LekaFEV [45]

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P(1+\frac{r}{n})^{nr}, where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000(1+\frac{0.1}{1})^{1(3)}

∴ A = 25000(1.1)^{3}

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

6 0
2 years ago
A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship betw
Llana [10]

Answer:number of juice and fruits

Step-by-step explanation:

juice and fruits

6 0
3 years ago
What is the answer to this problem?
yarga [219]
Try this:
V=a³=6.2³=238,328 in.³
Answer: A.
3 0
3 years ago
Other questions:
  • Use the image below to determine the type of angle pair,
    7·1 answer
  • in a survey, 27% of people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
    7·2 answers
  • Simplify by dividing <br> 3/5 ÷ -4/9<br><br> 1. -27/20<br> 2. 27/20<br> 3. -12/45<br> 4. 12/45
    12·1 answer
  • Hi what is the answer for a+5d+3x
    10·1 answer
  • A. B. ​ ​ 3(x+2) x+2 ​ =18 =6 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A
    11·1 answer
  • - 34,600
    6·1 answer
  • I don't know how teachers did this can someone help
    10·1 answer
  • How many solutions does 0.5(x−3)=3x−2.5 have?
    7·1 answer
  • 1. (07.01 LC)
    9·1 answer
  • Helpppppppppppppppppppp
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!