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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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20 degrees

Step-by-step explanation:

9 - (-11) = 20 degrees

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A 6000​-seat theater has tickets for sale at ​$25 and ​$40. How many tickets should be sold at each price for a sellout performa
Lena [83]

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

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3 years ago
A sogun would most likely be found? ​
Archy [21]

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3 years ago
I need help asap plz!!!​
svet-max [94.6K]

Answer:

AC ≈ 10.3

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan48° = \frac{opposite}{adjacent} = \frac{AC}{AB} = \frac{AC}{9.3} ( multiply both sides by 9.3 )

9.3 × tan48° = AC , then

AC ≈ 10.3 ( to 3 sf )

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3 years ago
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