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Softa [21]
3 years ago
11

The length of a rectangle is three times the width. the area of the rectangle is 108sq in. what is the width of the rectangle?

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

L = 3W

Area, A = L x W = 108 in2

Substitute L = 3W into the area equation, you get

A = 3W x W = 108

3W2 = 108

W2 = 108 / 3 = 36

W = √36 = 6 in

You might be interested in
Two angles are supplementary if their sum is​ 180°. the larger angle measures five degrees more than four times the measure of a
wlad13 [49]
Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

y=4x+5

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

x+y=180

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute y=4x+5 into x+y=180

x+y=180

After substituting, you get

x+4x+5=180

Now, combine the x's

5x+5=180

Subtract both sides by 5

5x=175

Divide both sides by 5.

x=35

Now, we can solve for y using the equation x+y=180 since we know the value of x.

35+y=180

Subtract both sides by 35.

y=145

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
5 0
3 years ago
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrive
alex41 [277]

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

4 0
3 years ago
$35 to spend cake is $18 balloons are $4
Lera25 [3.4K]

Answer:

he spends $22 and has $13left

Step-by-step explanation:

3 0
3 years ago
If a car is traveling 92 feet per second, how many miles per minute is it traveling?
Jobisdone [24]
It’s A because 92 times 60 is 5520 divide that by the conversion of miles to a foot which is 5280 so 5520 divided by 5280 equals 1.045 or 1.05
7 0
2 years ago
-3/4(x-3)-5= 1/8 (x-1)
earnstyle [38]
I think it’s 1384939384$3
6 0
2 years ago
Read 2 more answers
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