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Verdich [7]
3 years ago
11

A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time giv

en in hours, t, write a proportional equation for b in terms of t that matches the context.
Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer:

5t = 4b

Step-by-step explanation:

Here, we want to write a proportional relationship for b in terms of t

From the question, b represent the amount of candle burned away in a given time t hours

From what we have initially, 13 3/4 burnt in 11 hours

So in 1 hour, the amount burnt will be;

55/4/11 = 5/4

5/4 inches of candle burnt in 1 hour

5/4 inches = b/t

So b inches burnt in t hours

5/4 = b/t

5t = 4b

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What is 3a+2c=26 solve for a and c
blondinia [14]

Simplifying

3a + 2b + c = 26

Solving

3a + 2b + c = 26

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2b' to each side of the equation.

3a + 2b + -2b + c = 26 + -2b

Combine like terms: 2b + -2b = 0

3a + 0 + c = 26 + -2b

3a + c = 26 + -2b

Add '-1c' to each side of the equation.

3a + c + -1c = 26 + -2b + -1c

Combine like terms: c + -1c = 0

3a + 0 = 26 + -2b + -1c

3a = 26 + -2b + -1c

Divide each side by '3'.

a = 8.666666667 + -0.6666666667b + -0.3333333333c

Simplifying

a = 8.666666667 + -0.6666666667b + -0.3333333333c

3 0
3 years ago
Read 2 more answers
You have 10 marbles (5 blue, 3 white, 2 yellow) what is the probability of choosing yellow?
melisa1 [442]
1/5 (one fifth) or 20 percent
4 0
4 years ago
Read 2 more answers
f. If a salesperson receives a commission of 12% of sales, what is the salesperson's commission on $250,000 of sales?​
Gala2k [10]

Answer:

30,000

Step-by-step explanation:

250,000 * .12 = 30,000

in real life the commission would be split between the owner, broker and salesperson

salespeople often do not keep the entire commission

8 0
2 years ago
Christine performed the following experiment 20 times using a book that contains 462 pages.
wel

Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

  • The experiment was made 20 times.
  • Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.

Then:

p = \frac{6}{20} = 0.3

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

You can learn more about the probability concept at brainly.com/question/15536019

7 0
2 years ago
Question content area top
Mumz [18]

Answer:

(-6,-4)

Step-by-step explanation:

So there actually is really easy way to solve this problem(that many people will never teach you for some weird reason).

Find difference between two points first in x and y direction.

X difference = (-3 - (-8)) = 5

Y difference = (-1 - (-6))  = 5

Multiply 2/5 to each difference

X difference 5 * 2/5 = 2

y difference 5* 2/5 = 2

just add the two number to First point(point A)

-8 + 2 = -6

-6 + 2 = -4

(-6,-4)

7 0
2 years ago
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