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Dmitry_Shevchenko [17]
3 years ago
9

Lisa can make a costume twice as fast as Justin can. If they both work together, they can make it in 8 hours. How long will it t

ake Justin to make the costume if he works alone?
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Hi,

Concept: This is work & time related problem which can be solved in their inverse proportions.

Let Lisa can do a work in x hours.

Lisa's one hour work = 1 / x

According to the problem, Justin can do the same work in 2x hours.

Justin's one hour work = 1 / (2x)

Now, we shall find both 1 hour work just by adding their 1 hour's work.

Both 1 hour's work = (1 /x) + [1 / (2x)] = 3 / (2x)

Full works time = (2x /3) hours.

Again, according to the problem,

2x / 3 = 8

or, x= 12 hours.

Hence Justin will take 2x = 24 hours to complete work as alone.

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The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
 Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
<span>Angle(CFE) +Angle(DFE) = 180
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Also
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Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
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3 years ago
What is the factored form of this expression?<br><br> x2 + 15x + 56
AlladinOne [14]

Step-by-step explanation:

{x}^{2}  + 15x + 56

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taking common

x(x + 7) + 8(x + 7)

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6 0
2 years ago
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what is the answer to this question and how??
Lesechka [4]

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Jose has $45 to spend at the mall. He buys a toy for $18.63, two candy bars at $0.47 EACH, and a shirt for $12.64 (All prices in
GREYUIT [131]

Answer:

$12.79

Step-by-step explanation:

$45 - $18.63 = $26.37

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Click on the graph below to create a quadrilateral with vertices at the following points. (-4,9), (-8,9), (-9,7), (-9, 4)​
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...

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(-4,9)

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