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Olenka [21]
3 years ago
5

A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours? A) 3 houses B) 6 houses C) 9

houses D)
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

The correct option is C. 9 houses could 18 men paint in 6 hours.

Step by step explanation:

Let the number of houses paint by 18 men in 6 hours be x.

One man can paint one house in 12 hours.

The part of house painted by a man in 1 hour is \frac{1}{12}.

The part of house painted by a man in 6 hour is

\frac{6}{12}=\frac{1}{2}

The total number of men is 18. Therefore the number of houses painted by 18 men is

x=\frac{1}{2}\times 18=9

Therefore correct option is C. 9 houses could 18 men paint in 6 hours.

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Hey hun can any of y'all help me?
11111nata11111 [884]
\bf \cfrac{5}{\frac{1}{6}+\frac{1}{x+1}}\qquad \cfrac{}{\impliedby LCD\textit{ will be 6(x+1)}}\implies \cfrac{5}{\frac{1(x+1)+1(6)}{6(x+1)}}
\\\\\\
\cfrac{5}{\frac{x+1+6}{6(x+1)}}\implies \cfrac{\frac{5}{1}}{\frac{x+7}{6(x+1)}}\implies \cfrac{5}{1}\cdot \cfrac{6(x+1)}{x+7}\implies \cfrac{30(x+1)}{x+7}

and you can expand the numerator if you wish, it won't be simplified further though.
6 0
3 years ago
The length of rectangular sign is 12 less than twice the width. Its perimeter is 114 ft. Find the length and the width of the si
Ymorist [56]

We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.

Let w and l represent the width and length of the sign in feet, respectively.

... l = 2w -12 . . . . . the length is 12 ft less than twice the width

... p = 2(l +w) = 114 . . . . the perimeter is 114 ft

Using the first equation for l, we can substitute for l in the second equation.

... 114 = 2((2w -12) +w)

... 114 = 6w -24 . . . . . . . . simpify

... 138 = 6w . . . . . . . . . . . add 24

... 23 = w . . . . . . . . . . . . . divide by 6

... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l

The length and width of the sign are 34 ft and 23 ft, respectively.

7 0
3 years ago
Help please it’s due tommorow and I don’t know how to do it
likoan [24]

Answer:

Where is the question?

Step-by-step explanation:

Where is the question?

3 0
2 years ago
Read 2 more answers
In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle PNO = (x+14)^{\circ}m∠PNO=(x+14) ∘ , \text{m}\a
adelina 88 [10]

Answer:

<OPQ = 23 degrees

Step-by-step explanation:

Given

Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)

Exterior angle = m<OPQ = (5x-2)

The sum of interior angles is equal to the exterior angle, that is;

m∠PNO+m∠NOP = m<OPQ

x+14 + x-1 = 5x-2

2x + 13 = 5x-2

Collect like terms;

2x-5x = -2-13

-3x = -15

x = 15/3

x = 5

Get <OPQ

<OPQ = 5x - 2

<OPQ = 5(5)- 2

<OPQ = 25-2

<OPQ = 23 degrees

4 0
2 years ago
Please I need help with this
Stella [2.4K]

Answer:

J

Step-by-step explanation:

x = the number of guests

y = the charges per guest

400 = the rental fee for the banquet

HOPE THIS HELPS <333333

-Silver

8 0
2 years ago
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