answer the question correctly for good luck

If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4

Find an equation connecting ‘c’ and ‘d’

Find ‘c’ when d = 8

Find ‘d’ when c = 54

Answers

Answer 1

Answer:

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

[tex]c =kd[/tex]

Given that

c = 24 when d = 4

Putting the values

[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]

Putting the value of k

[tex]c = 6d[/tex]

Putting d = 8

[tex]c = 6(8) = 48[/tex]

Putting c = 54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Related Questions

Daisy went deep sea diving. She makes the first stop in her descent at 25 meters below the surface of the water. From that point she dives down further, stopping every 5 meters. If she makes 3 additional stops, which number represents her position, relative to the surface of the water?

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Answer:

-45 M

Step-by-step explanation:

The surface of the water is at 0 m. Heights above the surface are positive and depths below the surface are negative.

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What does the word variable mean in mathematics in your own words?

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A variable is a letter in place of a number which you will later have to substitute

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Answer:

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Step-by-step explanation:

g(c)=19−c^2

What is g(4)?

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Answer:

g(4)=3

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

Answer is 11⅔

Step-by-step explanation:

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35÷3=11 remainder 2

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1) D
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Answer

desktop for 1st because it sold less computers and made more money.

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Step-by-step explanation:

Use numerals instead of words. 5 less than a number is equivalent to 1 more than three times the number. The number is __ ?​

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Answers

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

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__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

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__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

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This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

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__

5. Use n=7 and evaluate.

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Answers

Your answer would be 3 5/10. (3 and 5/10).

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Answer:

B. -3 > -4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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your meal at the school cafeteria costs $3.45. Your friends meal costs $3.90. you pay for both meals with a $10bill. How much change do you receive? show your work​

Answers

Answer:

You pay for both 10-(3.45+3.90)= 2.65

Answer:

well for me

Step-by-step explanation:

3.45+3.90=7.35

10-7.35

2.65

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Answer:

well well well

Step-by-step explanation:

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What's 4/5 as a percentage?

Answers

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

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Answers

Answer:

y = 5

Step-by-step explanation:

Given:

In the right triangle the hypotenuse is 5y, one leg is 4y, the other leg is missing

Missing side of the triangle is:

√(5y)² - (4y)² = √(3y)² =3y

Perimeter is 60:

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Answers


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Answers

Answer:

X=22

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Answer:

x=22

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Step-by-step explanation:

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Answers

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is [tex]2^{2} \cdot 3 \cdot 5[/tex], which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

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Answers

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Answers

If it’s not $3.70, maybe it’s looking for the equation instead like b = (26.50 - 8)/5?

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To form the image, the pre-image moved
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two units right and three units up.
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Answers

Answer:

B

Step-by-step explanation:

did it on edge

Answer:

A. five units right and three units up.

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full answer = To form the image, the image moved

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Step-by-step explanation:

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Answers

Answer:

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