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koban [17]
2 years ago
12

Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall

candle can burn for. He assumes that the relationship between the height of a candle and number of hours it burns (h) is proportional. How long can a 21 cm tall candle burn for?
Mathematics
2 answers:
Usimov [2.4K]2 years ago
7 0
(burn time)/(8 h) = (21 cm)/(14 cm)
burn time = (8 h)*(21/14)
burn time = 12 h

Elio expects the 21 cm candle to burn 12 hours.
givi [52]2 years ago
5 0
14cm can burn 8 hours
21cm can burn x hours

14x=8x21
14x=168
x=12

A: 21cm tall candle can burn for 12 hours.

Hope this helps.
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a.

$16,246.80

Step-by-step explanation:

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Betty saves 3 times as much as Ann. Charles save 390 less than Ann.. If Betty saves save 1330 more than Charles. how much does C
Igoryamba

Answer:

80

Step-by-step explanation:

We let x be Ann's savings.

Betty saves 3 times as much as Ann.

This implies that Betty's savings in terms of x

= 3x

Charles save 390 less than Ann.

This implies Charles savings

= x - 390

Betty saves 1330 more than Charles.

This implies that when we deduct Charles savings from Betty's we have to get 1330.

Mathematical equation for the problem:

3x - (x - 390) = 1330

Expand :

\implies 3x - x  + 390= 1330

\implies 2x + 390= 1330

Subtract 390 from both sides.

\implies 2x + 390 - 390= 1330 - 390

\implies 2x=940

Divide through by 2

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\implies x=470

Hence Charles saving is

x - 390 = 470 - 390 = 80

7 0
2 years ago
Katie invested $33,750 at 11.17% compounded continuously.
ser-zykov [4K]

Answer:

Katie's account balance in 10 years will be $3,769,875

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you multiply the amount of money you invest by the percentage, and the amount of years.

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5 0
2 years ago
The volumes of two similar figures are 343 mm3 and 512 mm3. If the surface area of the larger figure is 192 mm2, what is the sur
Kobotan [32]
In geometry, similar figures are those whose ratios of the  corresponding sides are equal and the corresponding  angles are congruent. In relation to the volume, we determine first the cube roots of the given and find the ratio as shown below.
 
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                                    = 8/7
The square of this ratio is the ratio of the areas of the figure. If we let x be the area of the smaller figure then, 
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The value of x from the equation is 147 mm². 

The area therefore of the smaller figure is 147 mm².
3 0
2 years ago
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Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

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6s⁹t³

3 0
2 years ago
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