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Kobotan [32]
3 years ago
11

Elio makes candles that are 14\text{ cm}14 cm14, start text, space, c, m, end text tall. Each candle burns 888 hours before goin

g out. He is wondering how many hours a 21\text{ cm}21 cm21, start text, space, c, m, end text tall candle can burn for.
He assumes that the relationship between the height of a candle and number of hours it burns (h)(h)left parenthesis, h, right parenthesis is proportional.
How long a 21 \text{ cm}21 cm21, start text, space, c, m, end text tall candle can burn for?
Mathematics
2 answers:
erastova [34]3 years ago
5 0

Answer:

12 Hours

Step-by-step explanation:

h=21/14*8

h=12 hours

Maurinko [17]3 years ago
4 0

Answer:   21 cm candle burns for 12 hours.

Step-by-step explanation:

Equation to show proportional relation between two quantities x and y

 : \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

According to the given situation :

Let x_1=14\ cm,\ y_1=8\ hours,\ x_21\ cm,\ y_2=y

Put these values in equation , we get

\dfrac{14}{8}=\dfrac{21}{y}\\\\\Rightarrow\ y=\dfrac{21\times8}{14}=12\ hours

Hence, 21 cm candle burns for 12 hours.

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3 years ago
a total of $9500 is invested, part at 10% simple interest and part at 9%. if the total annual return from the two investments is
Nutka1998 [239]

a total of $9500 is invested, part at 10% simple interest and part at 9%

if the total annual return from the two investments is $914.00

Amount invested = 9500

Total amount return means total yield = $914

Let x amount  is invested at 10% simple interest

Interest for first part =  10 % times x = 0.10x

Remaining part invested is 9500 -x

Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)

Total interest yield is 914. Now we frame an equation

0.10x + 0.09(9500-x) = 914

0.10x +855 - 0.09x = 914 (combine like terms)

0.01 x + 855 = 914 (subtract 855)

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3 years ago
Drag each equation to the correct location on the table.
Ket [755]

Answer:

Hi! I hope this is correct please inform me if this is incorrect :)

a = 1 will have.

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2a + 3 > 10 -3a.  

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a = 2 will have

ANY others I did not include in a = 1 :)

Please once again tell me if this is incorrect.

Step-by-step explanation:

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