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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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A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is
Aleks04 [339]

Answer: 9+23p ≤ 170

Step-by-step explanation:

9+23p≤170

23p ≤ 170-9

23p ≤ 161/23

p≤7

5 0
2 years ago
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How many positive four-digit integers are multiples of 5 and less than 4,000
Volgvan

Answer:

  Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

Explanation:

 Lowest four digit positive integer = 1000

 Highest four digit positive integer less than 4000 = 3999

 We know that multiples of 5 end with 0 or 5 in their last digit.

 So, lowest four digit positive integer which is a multiple of 5 = 1000

 Highest four digit positive integer less than 4000 which is a multiple of 5  = 3995.

 So, the numbers goes like,

       1000, 1005, 1010 .....................................................3990, 3995

 These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.

          An = a + (n-1)d  

           3995 = 1000 + (n-1)x 5

           (n-1) x 5 = 2995

           (n-1) = 599

            n = 600

 So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

6 0
3 years ago
What is the greatest common factor of 18, 6, and 36?
Viktor [21]

Answer:

18 is the greatest common factor between those

3 0
3 years ago
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The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
Helga [31]

Answer:

I believe it's D.

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4 0
2 years ago
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Soloha48 [4]

Answer: Melanie swam 63 minutes more in second week.

Step-by-step explanation:

Given ,  Time taken by Melanie in first week to swim = 142 minutes

Combined  time taken by her in first two weeks in swimming = 347 minutes

Now , time taken by her in second week =  (Combined  time  of first two week) - (Time taken in first week)

= 347-142 minutes

=  205 minutes

Clearly , 205 > 142 i.e. She swam more in second week than first week./

Difference i= 205-142 = 63

Therefore, Melanie swam 63 minutes more in second week.

3 0
3 years ago
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