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wolverine [178]
3 years ago
7

A twelve inch candle and an 18 inch candle are lit at 6 pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle bu

rns two inches every hour. At what time will the two candles be the same height? What equation describes this scenario?
Mathematics
1 answer:
Greeley [361]3 years ago
3 0
 <span>18 - 2t = 12 - 0.5t 
6 = 1.5t 
t = 6/1.5 
t = 4 hours 
time required to have the same height = 4hours 
At what time ? 
answer : at 10pm 
------------------- 
12inch candle lasts longer ..</span>
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Lubov Fominskaja [6]

Interest earned = rate charged × amount invested

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7 0
3 years ago
Given: AB || CD
jarptica [38.1K]
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<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

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y-y1=m(x-x1)
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y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
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Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
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<span>        5
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<span>     5</span>
3 0
3 years ago
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earnstyle [38]

Hello!

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To find the line parallel to the line given line, we need to use the x-value in the given ordered pair, which will create the parallel line.

Therefore, the line parallel to the line x = -10 is x = -4.

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