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fomenos
4 years ago
13

Jimmy is building a rectangular fence for his back yard. If the perimeter of the fence is 300 feet and the width 20 feet longer

than the length, find the distance of each side.
Mathematics
1 answer:
IRISSAK [1]4 years ago
7 0

Answer:

Length-65 ft   Width: 85

Step-by-step explanation:

Let's set the length as x, and the width as x+20 (because it is 20 ft longer than length)

We know that 2L+2W=Perimeter

We can substitute x and x+20 in for 2L and 2W, and 300 for Perimeter

New Equation: 2(x) +2(x+20)=300

After Distribution: 2x+2x+40=300

Combine like terms: 4x+40=300

Subtract 40 from both sides: 4x=260

Divide 4 on both sides and you get x=65 (Length)

Add 20 to get width : x+20= 85

I hope it helped! :)

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A would be the correct answer because the y variable only has a coefficient of 1. So we would solve for y, which would get us y=3x+5, then we would substitute the value in the second equation which would look like -4x+5(3x+5)=58. Hope this helpss. :)
6 0
3 years ago
Prime factorization of 43
Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

8 0
3 years ago
Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which o
Naddika [18.5K]

Answer:

d

Step-by-step explanation:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

a. 6000x (1 + 0.04/12)^24 = 6498.86

b. . 6000x (1 + 0.03/12)^36 =6564.31

c. . 6000x (1 + 0.01/12)^48 = 6244.76

d. . 6000x (1 + 0.05/12)^60 =6630.47

4 0
3 years ago
if you save three pennies on January 1, six pennies on January 2, nine pennies on January 3, and continue this pattern for one y
Katarina [22]

Answer:

2003.85

Step-by-step explanation:

I realize I'm a year late, but the math of the previous answer was so terrible I'm honestly too horrified to let this be.

You have save by an increasing amount of 3 pennies per day. You start with 3 and build from that, each day, for 365 days. First, you must figure out what amount of pennies you shoved into your account on the final 365th day.

An= a1+(n-1)d

An=term you want

a1= term you begin with

n= term you want

d= constant amount

A_365= 3 + (365-1)*3

A_365= 1095

Arithmetic Sum: Sn = N/2 (a1 + an)

365/2 * (3 + 1095) = 200385.

This means you've invested a total of 200385 PENNIES after 365 days.

The question asks for dollars, not your rusting lincoln's.

As (I hope) you know, 1 Dollar = 100 pennies

200385 pennies/100 = 2003.85.

This means you have $2003.85 in your account by the conclusion of the 365th day.

4 0
3 years ago
Find the value of x.<br>A.5<br>B. 40<br>C. 45 <br>D. 20​
Alinara [238K]

(B) x = 40

Step-by-step explanation:

4x + 20 = 180

4x = 160

x = 40

3 0
3 years ago
Read 2 more answers
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