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Rom4ik [11]
2 years ago
15

Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The

Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0

9514 1404 393

Answer:

  • sides: 12 feet
  • front: 28 feet

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

  P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

  80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

  40 = 3x +4 . . . . . . . . divide by 2, collect terms

  36 = 3x . . . . . . . . . subtract 4

  12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

  2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

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How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)
8 0
3 years ago
I need help!<br><br>And if you can explain that would be good!
zysi [14]

Answer:

meema, papa, and then auntie jo

Step-by-step explanation:

you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.

meema: 48-24/4-2 = 4/2 = 2

papa: 40-24/5-3 = 16/2 = 8

auntie jo: 45-18/5-2 = 27/3 = 9

im in algebra two so you can trust my answer. happy holidays and stay safe!

7 0
3 years ago
Which expression is equivalent to the expression 4(6+y)+7?
natita [175]

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

7 0
3 years ago
What value of h makes the statement true? (17+h)+(–9) = 17+(5+(–9))
aalyn [17]
I know this is late and you probably got the answer but just in case its C. 5. :P
5 0
3 years ago
Under a translation of 5 units up and 2 units to the left, the point (3,4) will become
Vedmedyk [2.9K]
The point would become (8,2)
3+5=8
4-2=2
4 0
3 years ago
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