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Brut [27]
3 years ago
12

A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, af

ter the path was built, its area became 4200 square yards?

Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

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Can you solve number 7, number 8, and number 9
solmaris [256]

Hello!

To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.

7. 3.2x + y (substitute x = 5.07 and y = 1.5)

3.2(5.07) + (1.5)

16.224 + 1.5

17.724

8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)

(1.5)(0.403) + (5.07)

0.6045 + 5.07

5.6745

9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)

(0.403) × 7.06 - (1.5)

2.84519 - 1.5

1.34518

<u>Final answers</u>:

  • Number 7: 17.724
  • Number 8: 5.6745
  • Number 9: 1.34518
5 0
2 years ago
Please help with this algebra!! I’m
stiks02 [169]

Answer:

(-4, -1)

Step-by-step explanation:

x = 4y

-4x - y = 17

Plug in 4y for x in the second equation:

-4(4y) - y = 17

Simplify. Remember to follow PEMDAS. Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

First, multiply 4y with -4:

-4(4y) = -16y

-16y - y = 17

Simplify. Combine like terms:

-16y - y = 17

-17y = 17

Isolate the variable, y. Divide -17 from both sides:

(-17y)/-17 = (17)/-17

y = 17/-17

y = -1

Plug in -1 for y in the first equation:

x = 4y

x = 4(-1)

x = -4

x = -4, y = -1

Answer: (-4, -1)

~

7 0
2 years ago
Which relation is a function?
yKpoI14uk [10]

Answer:

C

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not  a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

4 0
2 years ago
Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p
Aleksandr-060686 [28]

The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

<h3>What is the simplified form of an expression?</h3>

Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.

The expression which is need to be simplified is,

-2(p +4)^2 - 3 +5p

First of all, open the brackets, using the formula of whole square,

-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35

Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

Learn more about the simplified form here;

brainly.com/question/1597694

5 0
1 year ago
Can somone help me pls
frosja888 [35]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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