First I would change the descriptions of the numbers into expressions.

first number is n
second number is n + 6
third number is 4n (4 x n)

Then you would insert these expressions into an equation and isolate n.

n + n + 6 + 4n = 144
n + n + 4n = 144 - 6
6n = 138
n = 138/6
n = 23

Lastly, you would plug in this value into all of the expressions.

first number is 23
second number is 23 + 6 = 29
third number is 4(23) = 92

Therefore, the numbers are 23, 29, and 92.

7 0

3 years ago

Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

$x=4y$

Replacing this value into the first equation, we have

$4y=180-2y\\\\
6y=180\\\\
y=30$

Therefore,

$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

$(120)(30)=3600$

The fence encloses 3600 sq ft.

4 0

3 years ago

What does it equal? Because I'm really confused

ruslelena [56]

It equals to 3/13
this is easy to solve because the denominator is already the same. all you'll need to do is add the the numerators:
2+1=3
and your answer will be 3/13

5 0

2 years ago

What is the value of the first 4 in this...4,384,488?​

What is the value of the first 4 in this...4,384,488?