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RUDIKE [14]
2 years ago
8

In an architecture class the students built a scale model of an office building. If the scale is 1 in. = 12 feet and the model i

s 8 1/2 in. high, how tall would the office building be?
Mathematics
2 answers:
iogann1982 [59]2 years ago
7 0

Answer:

102 feet tall

Step-by-step explanation:

12 multiplied by 8 1/2 to get 102

belka [17]2 years ago
6 0

Answer:

102 feet

Step-by-step explanation:

8.5 (or 8 1/2)*12=102 feet

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Evaluate the following when x = 3<br> 2x+ 5(x)
Nina [5.8K]

Hi!

I can help you with joy!

Evaluate:

\fbox{2x+5x} when \fbox{x=3}

First, add x's:

\rm{7x}

Now, plug in the value of x (3)

\rm{7(3)

Multiply:`

\rm{21} (Answer)

Hope it helps!

Ask me if you have any doubts.

  • Enjoy Your Day/Night! :)

<em>Answered by</em>

<em>~</em>Silent~

4 0
2 years ago
Rewrite 4 6/7 as an improper fraction.<br><br> sorry this is the correct question
goblinko [34]
The correct answer is, obviously, 34/7.
8 0
3 years ago
Read 2 more answers
Expand the binomial<br> <img src="https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D" id="TexFormula1" title="(x-\f
kkurt [141]

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

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

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

3 0
3 years ago
A large container holds 8 gallons of water. After 56 minutes the container only has 1 gallon of water left. At what rate is the
Korvikt [17]

Answer:

The rate at which water leaking is \frac{1}{8} gal/min.

Step-by-step explanation:

Given:

A large container holds 8 gallons of water.

After 56 minutes the container only has 1 gallon of water left.

Now, to find at what rate is the water leaking.

So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.

Time taken for leakage = 56 minutes.

<em>Now, to get the rate:</em>

\frac{Gallons\ of\ water\ leaked}{Time\ taken\ for\ leakage}

=\frac{7 gallons}{56 minutes}

=\frac{1 gallon}{8 minutes}

The rate = \frac{1}{8} gal/min.

Therefore, the rate at which water is leaking is \frac{1}{8} gal/min.

4 0
2 years ago
Find the x and y intercepts of the graph of the equation y=x^2-5
mr_godi [17]

Answer:

x intercepts  -sqrt(5), + sqrt(5)

y intercept -5

Step-by-step explanation:

y = x^2 -5

to find the x intercept set y=0 and solve for x

0 = x^2-5

add 5 to each side

5 = x^2

take the square root of each side

+- sqrt(5) = sqrt(x^2)

x = +-sqrt(5)    there are 2 x intercepts since it is a quadratic


to find the y intercept set x=0 and solve for y

y = 0-5

y = -5

8 0
3 years ago
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