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Finding the dimensions of a rectangle given its perimeter and a...
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 120 in, find its length and width.
length: 111
width: in
X
E
S

Answers

Answer 1

Answer:

Width = 10 in

Length = 50 in

Step-by-step explanation:

Define the variables

Let x be the width of the rectangle.If the length is five times its width, then the length of the rectangle is 5x.

Given the perimeter is 120 in:

[tex]\begin{aligned}\textsf{Perimeter of a rectangle} & = 2(\sf width + length)\\120 & = 2(x + 5x)\\120 & = 2(6x)\\120 & = 12x\\\dfrac{12x}{12}&=\dfrac{120}{12}\\\implies x&=10\end{aligned}[/tex]

Solution:

Width = 10 inLength = 5 × 10 in = 50 in

Related Questions

jenny believes that spending one hour studying for economics will increase her grade by 20 points. studying for a second hour will increase her grade by 10 points. she also believes that studying for an hour for history will increase her grade by 15 points, but spending a second hour will increase her grade by only 5 points. jenny has two hours to study. if jenny wants to maximize her scores, what should she do?

Answers

If Jenny studies one hour both for economics and history she can gain 10+15=25 points

What is meant by Increasing?

Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.

Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.

Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.

Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours

So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points

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Shawn borrows $600 to be paid back in one year with 8% simple interest. How much interest will Shawn pay?

Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

(0, 3)

Step-by-step explanation:

-x+2y=6
-x=6+2y
x=-6+2y

-6+2y+2y=6
-6+4y=6
4y=12
y=3

-x+2(3) = 6
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x=0

Answer: 0, 3

At one store Roberto bought 10 packages of batteries. Each package had 24 batteries. At another store, he bought 10 packages of batteries, but each

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Answers

To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.

What does one transformation mean?

A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.

The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.

Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.

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Danielle earns $36.80 for 4 hours of yardwork. How much does Danielle earn for 10 hours of yardwork

Answers

Firstly he earns 36.8 dollars in 4 hours
So how much does he earn per hour?
Decide 36.8 by 4 => 9.2 dollars
Now he earns 9.2 dollars for every he so he’ll earn 9.2(10) I.e. 92 dollars in 10 hours

$36.80 x 2 = $73.60

$36.80 / 2 = $18.40

4hr + 4hr + 2hr = 10hr

$73.60 + $73.60 + $18.40 = $165.60

The graph below represents the number
of containers and liters of water contained
in the containers. What is the constant of
proportionality?

Answers

The answer is: 4
Show work: 40-20/10-5

What is the y-intercept?

Answers

Please provide a picture, I'm not seeing one.

The y-intercept is when the x-value equals zero. (0, y)

You can find the y intercept if you plus in 0 for the c value

Starting from the origin, what movements do you need to plot the ordered pair (2, -3)?

Answers

Here, x coordinate is 2 and y coordinate is -3, so we have to first move two units on right thereafter we will move three units downward.(for better understanding please see the attached graph).

A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants.

An ordered pair is used to locate a point in a coordinate plane.

ordered pair(P) = (2,-3).

Hence, x coordinate is 2 and y coordinate is -3. we have to first move two units on right thereafter we will move three units downward.

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A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?

Answers

The time for the trough to have 80 gallons of water is 5 minutes.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be represented as m.

The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. This will be:

25 + 11m =80

Collect like terms

11m = 80 - 25

11m = 55

Divide

m = 55 / 11

m = 5

Therefore, there will be 5 minutes.

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A giant tortoise can travel 0.17 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1.1 miles?
It would take the tortoise
hours.
(Type an integer or decimal rounded to one decimal place as needed.)
...

Answers

Answer:

1.07

friend me? anyone

Answer:

6.5 hours

Step-by-step explanation:

distance = rate times time

1.1 = .17t t stands for time Divide both side by .17

my calculator shows 6.47058823527 We need to round to one decimal place

time = 6.5 hours or 6 1/2 hours

4y+3z=19
-x+z=27
x-3y=-19

Solve the system of equations

Answers

4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
divide
4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
by
2
2
.
4
y
+
3
z
=
19
−
x
+
z
=
7
x
−
3
y
=
−
19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: