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fenix001 [56]
3 years ago
9

Mark can paint a room in 3 hours, Frank can paint an identical room in 4 hours. How many hours would it take Mark and Frank to p

aint the room together at their respective rates.?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

All you have to do is find the LCD of the number of hours Mark and Frank uses to paint a room.

Mark - 3

Frank - 4

So list the numbers that are a result of a number and 3 and 4

(example: 4 x 1 = 4, 3 x 3 = 9)

3 - 3, 6, 9, 12, 15

4 - 4, 8, 12, 16

The list goes on and on but what we need to get is the LCD so it means it's the least number that 3 and 4 have in common.


3 and 4 both have 12 so The LCD of 3 and 4 is 12.

Another way of finding the LCD could be multiplying the numbers together, but it's not always gonna be the least number. Remember that LCD stands for Least Common Denominator.

How many hours would it take Mark and Frank to paint the room together at their respective rates?

The answer is - 12 hours

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Please help! I’m confused (both questions, 24 &amp; 25) I need to find all of the letters shown and show my work.
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Problem 24

<h3>Answer: w = 120</h3>

-----------------

Work Shown:

We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180

(angle1)+(angle2)+(angle3) = 180

30+30+w = 180

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======================================================

Problem 25

<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>

-----------------

Work Shown:

The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.

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2x-5 = 8

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2x/2 = 13/2 ... divide both sides by 2

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