What is the length of the shortest side if the perimeter of the rectangle is 56 inches?

What Is The Length Of The Shortest Side If The Perimeter Of The Rectangle Is 56 Inches?

Answers

Answer 1

Answer: Length of Shortest Side = 12 inches

Step-by-step explanation: Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches


Related Questions

I am thinking of two numbers. Their sum is 1776 and their difference is 1492. What are the numbers?

Answers

Answer:

1634 and 142

Step-by-step explanation:

y+x=1776

- (y-x=1492)

equals:

2x=284

÷2 ÷2

x=142

y+142=1776

-142 -142

y=1634

First number and second number are 1,634 and 142.

Given that;

Difference of two number = 1,492

Sum of two number = 1,776

Find:

The numbers

Computation:

Assume numbers are 'a, b'

So,

a + b = 1776  ...... eq1

a - b = 1492  ...... eq2

Eq 1 - Eq2

2b = 284

b = 142

a + b = 1776

a + 142 = 1776

a = 1,634

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simplify completely 1/2 +1/4

Answers

Answer:

1/2+1/4

4/8+2/8

6/8

3/4

Step-by-step explanation:

Answer:

The answer is 3/4.

Step-by-step explanation:

1/2+1/4

First we want to get a common denominator so that they can be added together.

1/2 * 2/2 = 2/4

We multiplied 1/2 by 2/2 so that both terms have a denominator of 4. Note that we also multiplied the top and bottom of 1/2 because we have to keep the value of the fraction the same.

Now we just add the fractions together.

2/4 + 1/4 = 3/4

So 3/4 is the answer. It is already in its simplest form meaning it cannot be simplified further.

Please help quick

Screenshot Below ( WILL mark as brainliest )

Answers

Answer:

-1/3

Step-by-step explanation:

Our points are as follows:

x1= 0

y1= 2

x2= 3

y2= 1

Now we use the slope formula rise/run and we plug in the numbers

1-2= -1

3-0= 3= -1/3

5x + 2x =

can i get help fast please

Answers

Answer:

7x

Step-by-step explanation:

You add the two numbers and bring over your variable.

PLEASE HELP NEED FAST

Answers

Answer:60

Step-by-step explanation:

Answer:

45 hope this helps! If its wrong let me know!

What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation? What number would you multiply the first equation by in order to eliminate the y-terms when adding to the second equation?

Answers

Answer:

1. Multiply (2) by 2 to eliminate the x-terms when adding

2. Multiply (2) by 3 to eliminate the y- term

Step-by-step explanation:

Use this system of equations to answer the questions that follow.

4x-9y = 7

-2x+ 3y= 4

what number would you multiply the second equation by in order to eliminate the x-terms when adding the first equation?

4x-9y = 7 (1)

-2x+ 3y= 4 (2)

Multiply (2) by 2 to eliminate the x-terms when adding the first equation

4x-9y = 7

-4x +6y = 8

Adding the equations

4x + (-4x) -9y + 6y = 7 + 8

4x - 4x - 3y = 15

-3y = 15

y = 15/-3

= -5

what number would you multiply the second equation by in order to eliminate the y- term when adding the second equation?

4x-9y = 7 (1)

-2x+ 3y= 4 (2)

Multiply (2) by 3 to eliminate the y- term

4x - 9y = 7

-6x + 9y = 12

Adding the equations

4x + (-6x) -9y + 9y = 7 + 12

4x - 6x = 19

-2x = 19

x = 19/-2

= -9.5

x = -9.5

Answer:

3 and 2

Step-by-step explanation:

i did the thing

Hudson and know are running a race. Know got a 30 foot head start. Hudson is running at 8.8 feet per second. Know is running at 6.3 feet per second. How many seconds until know and Hudson are at the same place.

Answers

Answer:

It will take 12 seconds to be at same distance Step-by-step explanation:

hope it helps

Find the inverse of the function.
y = 4x

Answers

Answer: f-1 (x) = x/4

Step-by-step explanation:

Can someone please help!!! I’ll give brainlest!!

Answers

Answer:

1750 calories

Step-by-step explanation:

2000 on average

1750 for his diet

2000 x 7 = 14,000

1750 x 7 = 12,250

14,000 - 12,250 = 1750

what is the slope of (16,2) and (32,4)​

Answers

Answer:

0.125

Step-by-step explanation:

Please help! I’ll give brainliest :)

X = ___ ??

Y = ___ ??

Answers

Answer:

X=60 degrees Y=30 degrees

Step-by-step explanation:

A special blend of coffee beans is going to be sold in cylindrical canisters whose dimensions always have a height that is two more inches than the radius. The table shows various volumes, V(r), for the given radii, r.

Answers

Answer:

Option C, V(r)=πr^3+2πr^2

Step-by-step explanation:

did on edge

Which models best illustrates the inequality and its graph?

t is at most 55

t is 55 or more

t is at least 55

t is less than 55

Answers

Answer:t is less than 55

Four friends purchase a pineapple for $2.89 and 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the total cost equally.




What amount does each person pay?


$8.77

$9.31

$21.34

$35.09

Answers

Answer:

$8.77

Step-by-step explanation:

Total cost = 2.89 + 18.4*1.75

= 2.89 + 32.2

= $35.09

Amount paid by each person = $35.09/4

= $8.77

Answer:

Four friends purchase a pineapple for $2.89 and 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the total cost equally.

What amount does each person pay?

$8.77

$9.31

$21.34

$35.09    The right answer is A. 8.77 I took the quiz and I got 100%

Step-by-step explanation:

The table represents the speed of a car in a northern direction over several seconds.

A 2-column table with 5 rows. The first column labeled Column 1 has entries 0, 2, 4, 6, 8, 10. The second column labeled Column 2 has entries 5, 10, 15, 20, 25, 30.

Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the titles of each column?

Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”
Column 1 should be titled “Velocity,” and Column 2 should be titled “Time.”
Column 1 should be titled “Time,” and Column 2 should be titled “Acceleration.”
Column 1 should be titled “Acceleration,” and Column 2 should be titled “Time.”

Answers

Answer:

Column 1 should be titled “Time,” and Column 2 should be titled

“Velocity.” ⇒ 1st answer

Sorry for being super late

what is the distance between -48 and 17 on a number line

Answers

Answer:

65

Step-by-step explanation:

Answer:65

Step-by-step explanation: this may or may not be right just draw out a number line and count the spaces

Pls it’s really importa I need help !!

Answers

Answer:

i cant see the picture clearly it is blury sorry cant help if it is like that!!!!

Step-by-step explanation:

Parabola Equations - Algebra
Please explain working clearly.
Help greatly appreciated,
Thanks!

Answers

Answer:

[tex]\displaystyle h=-\frac{1}{6}x^2+2x[/tex]

Step-by-step explanation:

We are given that the height of the tunnel is modeled by:

[tex]h=rx^2+tx[/tex]

Where r and t are constants.

We are also given that the maximum height of the tunnel h is six meters.

And at ground level, the width is 12 meters.

And we want to determine the equation of the parabola.

First, since this is a quadratic, our maximum height h will occur at the vertex of our equation.

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In our case, we have the function:

[tex]h=(r)x^2+(t)x[/tex]

Hence, a = r; b = t; and c = 0.

Therefore, the x-coordinate of our vertex is:

[tex]\displaystyle x = -\frac{t}{2r}[/tex]

Therefore, if we substitute this back into our equation, the result should be six since six is the maximum height. Hence:

[tex]\displaystyle (6)=r\left(-\frac{t}{2r}\right)^2+t\left(-\frac{t}{2r}\right)[/tex]

Simplify:

[tex]\displaystyle 6=r\left(\frac{t^2}{4r^2}\right)-\frac{t^2}{2r}[/tex]

Simplify:

[tex]\displaystyle 6=\frac{t^2}{4r}-\frac{t^2}{2r}[/tex]

Subtract:

[tex]\displaystyle 6=\frac{t^2}{4r}-\frac{2t^2}{4r} = -\frac{t^2}{4r}[/tex]

Multiply:

[tex]\displaystyle 24r=-t^2, \, r\neq 0[/tex]

Solve for r:

[tex]\displaystyle r=-\frac{t^2}{24}[/tex]

Next, we are given that the width is 12 meters at ground level.

Hence, when h = 0, the difference of our roots is 12:

We have:

[tex]0=rx^2+tx[/tex]

Factor:

[tex]0=x(rx+t)[/tex]

By the Zero Product Property:

[tex]x=0\text{ or } rx+t=0[/tex]

Hence, the first zero is 0.

Therefore, the second zero must be 12 to ensure that our width is 12.

Let's isolate the second zero. Subtract t from both sides:

[tex]rx=-t[/tex]

Divide both sides by r:

[tex]\displaystyle x=-\frac{t}{r}[/tex]

We know that this zero must be 12. Thus:

[tex]\displaystyle 12=-\frac{t}{r}[/tex]

We have previously solved for r. Substitute:

[tex]\displaystyle 12=-\frac{t}{-\dfrac{t^2}{24}}[/tex]

Simplify:

[tex]\displaystyle 12=\frac{24}{t}[/tex]

Take the reciprocal of both sides:

[tex]\displaystyle \frac{t}{24}=\frac{1}{12}[/tex]

Multiply. Hence, the value of t is:

[tex]t=2[/tex]

Find r. Recall that:

[tex]\displaystyle r=-\frac{t^2}{24}[/tex]

Therefore:

[tex]\displaystyle r=-\frac{(2)^2}{24}=-\frac{4}{24}=-\frac{1}{6}[/tex]

Then in conclusion, our equation will be:

[tex]\displaystyle h=-\frac{1}{6}x^2+2x[/tex]

Helppp!! evaluate (-6)^3

Answers

Answer:

-216

Step-by-step explanation:

Answer: the equation would be -6 x -6 x -6 = 216

Step-by-step explanation:

Which line is parallel to y = 3x - 1? *
y = 4x - 1
y = -3x + 5
y = 3x
y = -3x + 6

Answers

Answer:

y=3x

Step-by-step explanation:

parallel means same x value when talking about graphs

Answer:

y=3x

Step-by-step explanation:

because parallel line mean they got same slope and in y=3x-1 equation the slope is 3x. so, the same slope is 3x.

  don´t forget to brainllest!:)

Solve for m:

13=2m+5


Please explain how you figured this out.

Answers

13=2m + 5
8 = 2m
m = 4

EXPLANATION:
we have to break the equation down to find m. so, first, we take care of the 5. you can subtract 5 from the right side and what you do to the right, you have to do to the left.
this gives you 8 = 2m
next, we have to get rid of the 2 in order to only have an m. this means we have to divide m and 2. and remember, what you do to one side, you have to do to the other.
so, you do 2m divided by 2, giving you m and 8 divided by 2 giving you m = 4!!
hope that helped :)

A popular news article currently has 50,600 page views, and that number is rising 36% every hour. How many page views will the article have in seven hours? If necessary round your answer to the nearest whole number

Answers

Answer: 320,172 views

Step-by-step explanation: To figure this out first multiply 50,600 by .36, finding out what the 36% increase is, the get the answer which is 68,816. Then you continue and do that six more times to get the answer of 320,172.45573 which rounded is 320,172 views.

Which set of numbers form a right angle? Choose ALL that apply.
A. 1,2,3
B. 3, 4, 5
C. 15, 20, 25
D. 6, 8, 10
E. 8, 15, 18

Answers

Answer:ABCDEF

Step-by-step explanation:

“Ms. Kits works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kits sold a total of 110 CDs over the 2 weeks. How many CDs did she sell last week and this week?” How do I write this as 2 equations with 2 variables?

Answers

Answer:

Ms kits sold 336 CDS

Step-by-step explanation:

I cant help with the last part sorry dont listen to my answer

b. (6.91 X 10-2) + (2.4 x 10-3)

Answers

Answer:

91.82

Step-by-step explanation:

Download the free app Socratic. The app looks like a picture of an owl. It can help you with at least 98% percent of your math problems. Hope this helped :)

Answer:
88.1
Explanation

(6.91 X 10-2) + (2.4 x 10-3)
(69.1-2)+(2.4x10-3)
67.1+(24-3)
67.1+21
=88.1




NEED ANSWER ASAP ONLY 4 min

Answers

Answer:

A

Step-by-step explanation:

-4x-10≤2

-4x≤12 Add 10 on both sides

-x≤3 Divide by 4 on both sides

x≤-3 put a negative on both sides

Hope this helps :D Please mark brainliest if correct :D

Answer:

[tex]x \geqslant - 3[/tex]

it's b

-3.2 < -3 Is this true or false?

Answers

Answer:true

Step-by-step explanation: because -3.2 is smaller than -3 because negatives get smaller the bigger the negative

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Answers

Answer:

-6

Step-by-step explanation:

f(4)=2(4)-14

=8-14

=-6

Write the slope-intercept form of the equation of the line given the slope and the y-intercept.
8
Slope = -
y-intercept = 4
3

Answers

Answer:

The answer is y=-8/3x + 4

Step-by-step explanation:

There is this format called linear function where it looks like this

y=mx + b

where m is the slope and b is the y-intercept

pls mark me as brainliest


Steve can run 1 2/9 miles in 10 minutes. How many miles can he run in 30 minutes?

Answers

Answer:

3 2/3

Step-by-step explanation:

remember to give me brainliest cause I helped you

 

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