The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

Answers

Answer 1

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in


Related Questions

What is 8/m - 11/3m=?

Answers

Answer:

8/3m + 8

Step-by-step explanation:

What is 8/m - 11/3m=?

8/m - 113m =

(3 - 11/3)m + 8 =

8/3m + 8

Answer:

13/3m

Step-by-step explanation:

14/3, 343/32, 26/3 all in its simplest form

Answers

Answer:

Step-by-step explanation:

14/3 = 4⅔

343/32 = 10 ²³/₃₂

26/3 = 8⅔

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?

Answers

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

help me please i beg you

Answers

ANSWER: Acute and obtuse angle

Relatively Simple Math, pls lend a hand. 50 points and Brainliest

Answers

I think the answer is A

Answer:

B. 192 miles in 3 hours

Step-by-step explanation:

Mr. Anderson's rate is:

480 / 7.5 = 64 mph

Given options, find rates and compare with the above number:

A. 120/2 = 60 mph, NoB. 192/3 = 64 mph, YesC. 100/1.5 = 66.66 mph, NoD. 240/3.25 = 73.85 mph, No

In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed didn't like white cars?Write 2 over 5 as a percent.

Answers

9514 1404 393

Answer:

  75%

Step-by-step explanation:

The number for whom white was not a favorite was ...

  288 -72 = 216

The percentage whose favorite was not white was ...

  216/288 × 100% = 75% . . . didn't like white

Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.

Answers

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]

[tex]\\ \sf\longmapsto 3=125+b[/tex]

[tex]\\ \sf\longmapsto b=-122[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=-25x-122[/tex]

E) Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got
the receipt and saw that the tax was $42.42. What was the sales tax rate for this
purchase?

Answers

Translating "The tax is some percent of the phone's price" into an equation, we get:

   42.42 = p · 499

If we divide both sides by 499, we get

   0.085 ≈ p

We can check by finding 8.5% of 499:

   0.085 · 499 = 42.415, which rounds to 42.42

So the tax rate was 8.5%.

What is the inverse of this function? f(x)=x−7

Answers

Answer:

f^−1(x) = x + 7

Step-by-step explanation:

Replace f(x) with y. y = x − 7

Interchange the variables.  x = y − 7

Solve for y.  y = x + 7

Solve for y and replace with f^−1 (x).  f^−1(x) = x + 7

I hope this helps have a great day :)

Find the product. Simplify your answer.
(2c+3)(3c+1)

Answers

The answer is located two blocks left of the fire department and 3 half blocks up from the grocery store. There, you will find a bearded man. He will bless you with the word of God. Within that word of God, will contain the the answer isn’t that hard to find.

Can someone answer these questions? Thank you!

Answers

Answer:

It's not a function

Because it's not a function, you don't have to answer b and c

What is the value of the expression 3 (5to the 3rd power) + 4t to the 2nd power when s = 5 and t = 3?

Answers

Answer:

  411

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

  3s³ +4t² = 3(5³) +4(3²)

  = 3(125) +4(9) = 375 +36 = 411

Please Help! I will give you a lot of points! (It's really the guess & check I'm having trouble with. Is there an easier way to find the standard divisor (d)?)

Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adam's method with d=108 to apportion the shares of stock.

----Only pay attention to number 12 in the picture

Answers

Answer:

See below

Step-by-step explanation:

The given modifier solves this without further update.

See attached table

A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?

Answers

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

{3x−5y=4 -2x+6y=18

Please help solve for x and y

Answers

Answer:

hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be

This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.

When graphed, all of the points in the table lie on the same line.

What is the slope and y-intercept of the line?

Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480

Answers

Answer:

The answer is slope: -32 y-intercept:480

Step-by-step explanation:

I took the test

Answer: slope -32 y-intercept 480

Step-by-step explanation:

Took the k12 test

what is 2x3y if x = -2y =4

Answers

Answer:

-48

Step-by-step explanation:

2x3y

\/

2(-2) * 3(4)

\/

-4 * 12

\/

-48

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: -48

Step-by-step explanation:

2(-2)3(4) = -4*12 = -48

If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

[tex] \rightarrow [/tex] 12.5%

=================================================

Explanation/Solution:

To solve, use the formula:

[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]

Solve.

[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2

[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.

[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.

[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.

[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.

[tex] \rightarrow [/tex]x = 12.5

Therefore, the percentage of increase in the item is 12.5%.

3. If Superman can fly .25 miles in 8 seconds, how far could he fly in...
(a) 40 seconds?


Answers

Answer:

1.25 miles

Step-by-step explanation:

0.25 miles = 8 seconds

x miles = 40 seconds

0.25/8 = x/40

0.25 * 40 = 8x

10 = 8x

x = 1.25

-Chetan K

Yeah im just gonna send a picture​

Answers

Answer:

I , II, and III are true

Step-by-step explanation:

4+2x≤4

Subtract 4 from each side

4+2x-4≤4-4

2x≤0

Divide by 2

2x/2 ≤0/2

x≤0

0 is less than or equal to 0 so I is true

-4 is less than or equal to 0 so II is true

-3 is less than or equal to 0 so III is true

A Ferris wheel can accommodate 70 people in 15 minutes how many people can ride in 3 hours

Answers

840 people

I did 12x70

Answer: 840 people?

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!

Answers

Answer:

10 units

Step-by-step explanation:

Area of smaller ∆ ,

= 1/2 * 2 * 2 = 2 u

Area of larger ∆ ,

= 1/2 * 4 * 4 = 8u

Total area = 8u + 2u = 10 units

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

first one is 42
second is 24
Third is 12

Answer:

1 is 12

2 is 106

3 is 42

Step-by-step explanation:

1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12

2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106

3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42

8.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = −2x2 + 2x − 4

C. y = 4x2 + 2x − 4

D. y = −4x2 − 2x − 4

Answers

Answer:    y= 4x² +2x -4

C. y = 4x2 + 2x − 4

Step-by-step explanation:  f(x)=4x^2+2x-4

Given three points

P1(-2,8)

P2(0,-4)

P3(4,68)

We need the quadratic equation that passes through all three points.

Solution:

We first assume the final equation to be

f(x)=ax^2+bx+c .............................(0)

Observations:

1. Points are not symmetric, so cannot find vertex visually.

2. Using the point (0,-4) we substitute x=0 into f(x) to get

f(0)=0+0+c=-4, hence c=-4.

3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.

f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)

f(4)=a(4^2)+b(4)-4=68 =>  16a+4b-4=68.............(2)

4. Solve system

2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)

substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2  ..........(4)

5. Put values c=-4, a=4, b=2 into equation (0) to get

f(x)=4x^2+2x-4

Check:

f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8

f(0)=0+0-4 = -4

f(4)=4(4^2)+2(4)-4=64+8-4=68

So all consistent, => solution ok.

...............................................................................................................................................

Answer:

y = 4x² + 2x − 4

Step-by-step explanation:

The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.

y = 4x² +2x -4

 There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...

y = 4x² +2x -4 . . . . . as above

...............................................................................................................................................

HELP ME OUT PLEASE

A die was rolled six times. The polls were 1,2,3,3,4 and 5. What is the mean deviation for this data!

A) 3/5

B) 1

C) 2

D) 6​

Answers

Answer:The mean deviation of the given data is;

Option B: 1

Step-by-step explanation:

Σ(x - x¯)/n

Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5

x¯ = 3

Thus;

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

Mean deviation is usually a positive value. Thus;

Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2

Σ(x - x¯) = 6

Thus;

Σ(x - x¯)/n = 6/6

Σ(x - x¯)/n = 1

Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds interest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.

A. $20,652.19
B. $19,149.68
C. $20,146.75
D. $19,399.29

Answers

Answer:

D. $19,399.29

[tex] \: \: \: \: \: \: [/tex]

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).

Answers

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

Learn more here: https://brainly.com/question/25667732

- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?​

Answers

Answer: Definitely point A

Step-by-step explanation:

if f(x)= -2x^3 +14-8
if g(x)= 2x+6
find p(x) and g(x)
hurry upp please

Answers

Answer:x=3

Step-by-step explanation:

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