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m_a_m_a [10]
1 year ago
12

A building in a city has a rectangular base. the length of the base measures 65 ft less than twice the width. the perimeter of t

his base is 890 ft. what are the dimensions of the base? the width of the base is ft.
Mathematics
1 answer:
dybincka [34]1 year ago
5 0

By solving a system of equations, we will see that the width is 170ft and the length 275 ft.

<h3>How to get the dimensions of the base?</h3>

For a rectangle of length x and width y, the perimeter is:

P = 2*(x + y).

Here we know that:

x = 2y - 65ft

p = 890ft = 2(x + y)

So we have a system of equations.

To solve this, we need to replace the first equation into the second one:

890ft = 2(x + y)

890ft = 2(( 2y - 65ft) + y)

Now we can solve this for y.

890ft = 4y - 130ft + 2y

890ft + 130ft = 6y

1020ft/6 = y = 170ft

So the width is 170ft, and we know that:

x = 2y - 65ft = 2*(170ft) - 65ft = 275ft

So the length is 275 ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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-1/6 + 2/3 ( 9 + - 3/4) + - 1/2
Liono4ka [1.6K]
First simplify the section in the parenthesis. 
-1/6 + 2/3(8 1/4) + -1/2 
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2 
Add -1/2 to 5 1/2. 
-1/6 + 5 
Add 5 to -1/6. 
4 5/6 is the fully simplified answer. 
Hope this helps!
7 0
3 years ago
This is the easiest question
Arturiano [62]

Answer:  3\dfrac{2}{6}\ h

Step-by-step explanation:

Given

Rami practices his saxophone for \frac{5}{6} hour on 4 day each week

So, for a week she practices around

\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}

Converting it into mixed fraction

\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h

5 0
3 years ago
When multiplying exponents do you add them.
Masja [62]
Add the exponents if the bases are the same, multiply the bases if the exponents are the same, if nothing is the same just solve it.
5 0
2 years ago
What is 80 in its simplest form as a fraction?
Ann [662]

I believe the correct given problem is:

“What is 80% in its simplest form as a fraction?”

 

Take note that you missed to place the percent sign which is very important.

 

Now to solve this, 80% when converted to decimal form is 0.80 which means that you have 80 parts per 100 parts. Therefore the fraction form of this would be 80 / 100.

fraction = 80 / 100

However this fraction is not yet the answer because we can still simplify this further. First step in simplifying is to divide both the numerator and denominator by 10 so that we are left with:

8 / 10

Next step is to divide by 2:

4 / 5

 

Now we can see that we can no longer divide this (numbers should be whole number). Therefore the simplest form as a fraction is 4/5

 

Answer:

4/5

6 0
3 years ago
Whats 2+2+2+2+2+2+2+2+2+2
eimsori [14]

Answer:

20

Step-by-step explanation:

there are 10 2s

2×10 =20

7 0
3 years ago
Read 2 more answers
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