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koban [17]
2 years ago
8

A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the mod

el? Round to the nearest tenth if needed.
Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = \frac{1}{9}in

Rb = real building = 678ft = 8136in

Rw = real window = ?

\frac{Mw}{Mb} = \frac{Rw}{Rb}

\frac{1/9}{18} = \frac{Rw}{8136}

\frac{1}{9*18} = \frac{Rw}{8136}  

\frac{1}{162} = \frac{Rw}{8136}

\frac{1*8136}{162}= \frac{8136*Rw}{8136}

\frac{8136}{162} = Rw

\frac{452}{9} = Rw

Rw ≈ 50.2in ≈ 4.2ft

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3 0
3 years ago
The sum of 6 consecutive integers is 519. What is the third number in this sequence?
garri49 [273]
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8 0
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Read 2 more answers
The product of two consecutive negative even integers is 24. Find the largest integer.
natali 33 [55]

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

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3 0
2 years ago
The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.
Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of 36 and 54.

The possible factors of 36 are:

                                                   1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of 54 are:

                                                   1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

                                                   1, 2, 3, 6, 9, 18

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

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What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)
In-s [12.5K]

Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

8 0
3 years ago
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