Marcus is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the rectangle is 80 feet . The ratio of the width to the length is 3 to 5. What are the dimension of the rectangle (please help) & show work please

Answers

Answer 1

Answer: Ratio of width to length: W/L = 3/5
5W = 3L .........(a)

Perimeter = 2*(L+W) = 80

2*(L+W) = 80
(L+W) = 80/2. Divide both sides by 2.
L+W= 40......(b)

5W = 3L

L + W = 40 Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200. Recall from (a) 5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.

5W = 3L
5W = 3*25
W = 3*25/5
W = 15.

Therefore, the length, L = 25 and width , W = 15.

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VERY EASY QUESTIONMadison made a mistake when she combined terms. Explain what Madison did wrong? Explain and give an example of what she should have done.

What Madison did step by step:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x

Answers

Her mistake is that she didn't distribute the terms correctly . She subtracted 4 and- 2x , which is incorrect . She had to multiply -3 and the numbers inside the parenthesis .

the mistake is in combining 4 with -2x because they're not like terms
7-3(4-2x)-10x
7-12-6x-10x
-5-16x

What is the excluded value of x for the expression 1/x-6? A.) x = –6
B.) x = –1
C.) x = 1
D.) x = 6

Answers

Answer:

Option (d) is correct.

The excluded value of x for the given expression $(1)/(x-6)$ is 6.

Step-by-step explanation:

Given : Expression $(1)/(x-6)$

We have to find the excluded value of x for the given expression $(1)/(x-6)$ .

Consider the given expression $(1)/(x-6)$

Since, when x = 6 then the value of denominator becomes 0 and also, the expression $(1)/(6-6)$ becomes $(1)/(0)$ , which makes the expression not defined.

Thus, The excluded value of x for the given expression $(1)/(x-6)$ is 6.

the excluded value of x for the expression 1/x-6 is
D.) x = 6

Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $200.00, how much did he deposit initially? Round your answer to the nearest cent.

Answers

Answer: the initial deposit is $162.1

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

r = 7% = 7/100 = 0.07

t = 3 years

A= $200

Therefore,

200 = P x 2.7183^(0.07 x 3)

200 = P x 1.234

P = 200/1.234

P = $162.1 to the nearest cent

Which is the side length of a cube with a volume of 64 m3?

Answers

Which is the side length of a cube with a volume of 64 m3?

Volume: 64m³

a^3 = 64
\sqrt[3]{64} [/tex] = 4 m
↑
the answer
Check
4 * 4 * 4 = 64 m³

What is the area of the triangle?