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Oksana_A [137]
4 years ago
10

It takes 8 hours for 4 men to paint a room.

Mathematics
1 answer:
eimsori [14]4 years ago
7 0

Answer:

16 men would be needed to paint the room in 2 hours

Step-by-step explanation:

We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.

If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.

We are going to arrange the data inversely.

Let x be the number of men needed to paint the room in two hours

8 hours =  2 hours

    x        = 4 men

Cross-multiply

2×x = 8×4

2x = 32

Divide both-side of the equation by 2

2x/2 = 32/2

x = 16 men

16 men would be needed to paint the room in 2 hours

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At Joe's Grocery, you can buy hot dogs only in packages of 4 or packages of 7. As a result, you can't buy exactly 9 hot dogs sin
Inessa05 [86]

Answer:

29

Step-by-step explanation:

Hot Dog packages

4 = 2 *2

7 = 1 * 7

To determine, the largest possible number of hot dogs that you can't get exactly by buying these hot dogs is to determine the LCM ( lowest common multiple of 4 and 7 ) and add 1 to it

LCM of 4 and 7  = 1 * 2 * 2 * 7  = 28

Highest number that combining 7 and 4 packages can't give = 28 + 1 = 29

5 0
3 years ago
Find the cos of ∠T please
Colt1911 [192]

Answer:

A

Step-by-step explanation:

Using the cosine ratio

cos T = \frac{adjacent}{hypotenuse} = \frac{AT}{CT} = \frac{24}{25} → A

5 0
3 years ago
2 (3x+1)=17-3 (x-17)
elena-14-01-66 [18.8K]
<h2>Answer:</h2>

x =  \frac{22}{3}

<h3>alternative form:</h3>

x = 7 \frac{1}{3}  \: or \: x = 7.33333333333

<h2>Step-by-step explanation:</h2>

2(3x + 1) = 17 - 3( x - 17) \\ distribute \\  \\ 6x + 2 = 17 - 3x  + 51 \\ add \: 3x \: from \: both \: sides \\  \\ 9x + 2 = 17  +  51 \\ add \: 17 \: to \: 51 \\  \\ 9x + 2 = 68 \\ subtract \: 2 \: from \: both \: sides \\  \\ 9x = 66 \\  divide \: both \: sides \: by \: 9 \\  \\ x =  \frac{22}{3}

3 0
4 years ago
What is the measure of angle M? Type only the number:
Aleks04 [339]

Answer: 30

Step-by-step explanation:

all angle degrees added up = 180 degrees as I said before.

180 = 102+48+M

180 = 150+M

M = 30

4 0
3 years ago
Write the slope intercept form of the equation of the the line that passes through (3,-1) and (4,-5)
romanna [79]

Answer:

y=-4x+11

Step-by-step explanation:

formula=

y=mx+B

find m

formula y2-y1/x2/x1

-5--1/4-3=-4/1=

-4 is your m

find b

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-1=-12+b

11=b

3.subsitiute into y=mx+b

8 0
3 years ago
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