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Paul [167]
3 years ago
7

The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? Mark lets x rep

resent the width of the rectangle and writes the equation 2x + 2(x + 16) = 256. Solving for x, the width of the rectangle is
Mathematics
1 answer:
jonny [76]3 years ago
5 0
2x + 2x + 32 = 256

-32

2x+2x = 224

4x=224

/4

x= 56





lenght = width+16

perimeter = width + width + (width + 16) + (width + 16)

perimeter = x + x + (x+16) + (x+16)

perimeter = 2x + 2((x+16)



therefore width = 56 
length = 72
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Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.
Tomtit [17]

Answer:

US$ 132.45

Step-by-step explanation:

See attachment for the missing table.

Given:

Richard’s checking account balance at the beginning of the week = $57.34

<u>Richard’s account balance at the end of the week from the given table:</u>

Deposits of the week = US$ 163.75

Expenses of the week = Groceries + Credit card bill + Gas

Expenses of the week = 25.37 + 50 + 13.27

Expenses of the week = US$ 88.64

Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week

Replacing with the real values:

Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64

                                                                                    =US$ 132.4

7 0
4 years ago
Read 2 more answers
Use graphing to find the solution of the system of equations. -x^2+y=1, -x+y=2
vladimir2022 [97]

ANSWER


x=-0.62 or x=1.62




EXPLANATION


For -x^2+y=1



We make y the subject to obtain,



y=x^2+1


We can easily graph this function, because we just have to transform the graph of y=x^2 by shifting the intercept up to 1.



As for the straight line, -x+y=2,


We find the intercepts as follows,



When y=0,x=-2.


When x=0,y=2.


We plot the points (-2,0) and


(0,2).



We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be


x=-0.62 or x=1.62


See graph




5 0
3 years ago
Which expressions are equivalent when m = 1 and m = 4?
s344n2d4d5 [400]

Answer:

expression 2

Step-by-step explanation:

<h2><u>Which expressions are equivalent when m = 1 and m = 4?</u></h2>

<h3><u>first expression:</u></h3>

5m -3 and 2m + 5 + m

when m = 1

5(1) - 3 = 2  and 2(1) + 5 + 1 = 8

and m = 4

5(4) -3 =23 and  2(4) + 5 + 4 = 17

<u>expression 1 IS</u><u> NOT EQUIVALENT</u><u> </u>

<h3><u>second expression  :</u></h3>

3 m + 4 and m + 4 + 2 m

when m = 1

3 (1) + 4 = 7 and 1 + 4 +2 (1) = 7

and m = 4

3 (4) + 4 = 16 and 4 + 4 +2 (4) = 16

expression 2 <u>IS  EQUIVALENT </u>

<h3><u>third expression :</u></h3>

2 m + 7 and 3 m - 3 + m

when m = 1

2(1) + 7 = 9 and 3(1) -3 + 1 = 1

and m = 4

2(4) + 7 = 15  and 3(4) -3 + 4 = 13

expression 3 IS <u>NOT EQUIVALENT</u>

<h3><u>fourth expression :</u></h3>

5 m + 3 and 4 m + 2 + 2 m

when m = 1

5(1)+ 3 = 8  and 4(1) + 2 +2(1) = 8

and m = 4

5(4)+ 3 = 23  and 4(4) + 2 +2(4) = 26

expression 4 is <u>NOT EQUIVALENT </u>

the expression that is <u><em>EXPRESSION 2 </em></u>

8 0
3 years ago
Read 2 more answers
A. 3 B. 23√3 C. 33–√ D. 63–√
MAXImum [283]

Answer:

I think its A.3not sure

7 0
3 years ago
Read 2 more answers
Joseph is forming a three-dimensional figure using a net. The figure has six congruent square faces. What types of figure did he
jek_recluse [69]
I think it would b a cube.

hope it helped!! ;)
8 0
3 years ago
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