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pogonyaev
3 years ago
10

Translate the following verbal expressions into

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

16 + 4n

3(x - 8)

(5 × y) - 3

Step-by-step explanation:

16 increased by 4 times a number:

16 + 4n

Three times the difference of x and 8:

3(x - 8)

3 less than the product of 5 and y:

(5 × y) - 3

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The perimeter of rectangle ABCD is 256 inches. Its length is 3 times as long as its width. Find the area of triangle ABC.
Oliga [24]

Answer:

\large\boxed{A_\triangle==1,536\ in^2}

Step-by-step explanation:

The formula of a perimeter of a rectangle:

P=2(l+w)

The formula of an area of a rectangle:

A=lw

l - lenght

w - width

We have l = 3w and the perimeter P = 256 in. Substitute:

2(3w+w)=256               <em>divide both sides by 2</em>

4w=128               <em>divide both sides by 4</em>

w=32\ in\to l=3(32)=96\ in

Calculate the area of a rectangle:

A=(96)(32)=3,072\ in^2

The triangle ABC is the half of the rectangle. Therefore the area of a triangle ABC is:

A_\triangle=\dfrac{3,072}{2}=1,536\ in^2

5 0
3 years ago
He has memorized 20 of the words, which is four-fifths of the list. How many words are on the list?
borishaifa [10]
There are 25 words on the list

5 0
3 years ago
What's the solution to 3x – 6 &lt; 3x + 13? A. x &gt; 5 B. There are no solutions. C. There are infinitely many solutions. D. x
erma4kov [3.2K]

Answer:

C. There are infinitely many solutions.  

Step-by-step explanation:

3x – 6 < 3x + 13

Subtract 3x from each side

-6 < -13

This inequality is always true.

There are infinitely many solutions.

8 0
3 years ago
A 21-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi
Pavel [41]
****hope this helps****

7 0
3 years ago
How many solutions does 0.75(x+40)=0.35(x+20)+0.35(x+20) have?
Neporo4naja [7]
Only one because there is one variable and the combined coefficients of x are non-zero.
(0.75(x+40)=0.70(x+20), 0.05x=14-30=-16, x=-320)
4 0
3 years ago
Read 2 more answers
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