3. The ratio of the width to the length of a rectangle is 4:5. If the area of the rectangle is 500 square centimeters, what is the length of the rectangle?

5 centimeters
9 centimeters
20 centimeters
25 centimeters​

Answers

Answer 1

Answer:

          25 centimeters​

Step-by-step explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle:  A = W×L

Therefore:

              500 = 4x×5x

               500 = 20x²

               50 = 2x²

                x² = 25

                x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm


Related Questions

Write the equation of the line that has a slope of four and passes through the point 6,5

Answers

Answer:

4x-y=19, y=4x-19

Step-by-step explanation:

I learned a really quick way to do these in geometry.

Let's use standard form or ax+by=c.

Slope of 4:  4x - y = c.

Passes through point 6,5.

4(6) - 5 = c

c= 24-5

c=19

4x-y=19

y=4x-19

It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs ( in dollars) of a membership

Answers

Answer:

[tex]y= 35+15x[/tex]

Step-by-step explanation:

Given data

It costs $35 for a membership

Monthly fee is $15

Let the number of months be x

and the total cost for x months be y

Hence the expression for the cost after x months is given as:

[tex]y= 35+15x[/tex]

what is the value of -5 ?

Answers

Answer:

5

Step-by-step explanation:

You just change the signs

Answer: it will depended on the -5 i think if you write it in standard form

Step-by-step explanation:

At a construction job for a mansion there are 32 painters. Of these painters, 24 of them are painting the interior of the mansion. What percent of these painters are painting the interior?

Answers

Answer:

[tex]\% Percent = 75 \%[/tex]

Step-by-step explanation:

Given

[tex]Painters = 32[/tex]

[tex]Interior\ Painters = 24[/tex]

Required

Determine the percentage of the interior painters

This percentage is calculated as:

[tex]\% Percent = \frac{Interior\ Painters}{Painters} * 100\%[/tex]

This gives:

[tex]\% Percent = \frac{24}{32} * 100\%[/tex]

[tex]\% Percent = \frac{24* 100\%}{32}[/tex]

[tex]\% Percent = \frac{2400\%}{32}[/tex]

[tex]\% Percent = 75 \%[/tex]

75% are painting the interiors

what is 28 divided by 1.0000

Answers

28 divided by 1.0000 is 20

Answer:

It's still gonna equal 28

A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.

How many ounces does the sprayer hold? ounces

How many ounces of water was added to the sprayer? ounces

Answers

Answer:

the sprayer holds 150 0z.

120 oz. of water was added to the sprayer

Step-by-step explanation:

Help me I need the answer for x

Answers

Answer:

60=x

Step-by-step explanation:

X=60

Hope this helped

Bob bought a thing for $350 and sold it for $450. What was his percentage gain?
Plz need answers ASAP!!

Answers

Answer:

The answer 128.57%

Step-by-step explanation:

The explanation is

Answer:

28.57%

Step-by-step explanation:

HI SOMEONE PLEASE HELP I HAVE NO IDEA HOW TO DO THIS :(( i need to know the measure of angles 13 and 12 then the measure of the line segment SG. Thank you sm in advance​

Answers

Answer:

Angle 13 equal 90 and Angle 12 equal 45

Step-by-step explanation:

This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point

Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.

To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.

Using that

Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.

CAN SOMEONE PLEASE HELP MEEEE? PLEASSEEE. EMERGENCY!! 30 POINTS!! PLEASE AND THANK YOU.

Answers

Answer:

[tex]\sqrt{2n^{2}}[/tex]

You have the side lengths of the two legs, n and n.

Then, using the pythagorean theorem you have to find the length of the third side:

[tex]a^2 + b^2 = c^2\\n^2 + n^2 = c^2\\2n^2 = c ^ 2\\\sqrt{2n^2} = c[/tex]

where c is the third side

i can confirm that the person above is correct

Solve for t. (Answer must be completely simplified)
10t=11

Answers

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

:)

PLS HELP ASAP (THE PICTURE IS BELLOW)

Answers

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Help me Out pleaseeeeeeeee

Answers

W is congruent to L, V is congruent to K, UV is congruent to JK

Which event below has the GREATEST probability of winning a prize?
A. choosing 1 number out of a on the spinner.
B. Flip a heads on a coin
C. Rolling a 2 on a FNC (Fair Number Cube) on the 1st roll.
D. Choosing the ball beneath the correct cup.

Answers

Answer:

Probably B.

Step-by-step explanation:

It's a 50% chance and the other ones seem less likely than that.

A. no clue what that means

B. 1/2 chance/ 50%

C. 1/6 chance which is not as great as B.

D. 1/3 chance which is closer to B but still not as good.

what multiplies to -15 and adds to -3

Answers

That’s not possible but it added to -2 it would be possible

-3x + 14 = 26

pls answer asap, i will give brainliest award also please answer with step-by-step explanation!

Answers

Answer:15

Step-by-step explanation:it just is the answer

The graph of a proportional relationship contains the point (8,4)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.


Y= — X

Answers

Answer:

It is A I took it but I am not sure

Step-by-step explanation:

1) Given two equations: 1) y = x - 3 and 2) y = -2x + 9. graph and state the point of
intersection below: *
Your answer

Answers

Answer:

1) y = - 3 and x = 3

2) x = 9/2 and y = 9

Step-by-step explanation:

Substitute x= 0 to find y and y=0 to find x

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

Answers

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f g)(x) and express
the result in standard form.

Answers

The answer is f(g(x))=x^2-30x+216

y=-7/17x + O
What’s the answer for this question

Answers

Answer:

Solve for O

by simplifying both sides of the equation, then isolating the variable.

O=y+7x/17

     

George recorded the temperature of a liquid during science class.
Recorded temperatures (°C):37, 37, 42, 42, 42
Which measure of center best summarizes the temperatures and what is the value of this chosen measure?
Move a word and a value to complete the sentences.
The best measure of center for this data is the
The value of this measure of center is
mean
median
37
39.5
40

Answers

Answer: median and 42!

Step-by-step explanation:

Evaluate the expression for y = 2. Simplify your answer.

y − 12
y
=

Answers

Answer:

-10

Step-by-step explanation:

this is the answer have a great day

need help! it’s due today. Brainliest to whoever gets correct

Answers

Answer:

B. about 41

A. 11

Step-by-B.step explanation:

Answer:

B. about 41

A. 11

Step-by-step explanation:

lol another math problem i need help on

Answers

Answer:

32x - 8

Step-by-step explanation:

8 x 4 = 32

(-)2 x 4 = -8

32x - 8

hope this helps and that it's right :)

Use your plan to find the temperature at the top of Mt Everest.
The temperature at the top can be found by evaluating the
expression —3— 58 (1).

Answers

Answer:

- 61

Step-by-step explanation:

-3 - 58 = -61

times 1 is

is -61

what is the length of the hypotenuse for a right triangle with legs of length 9 and 40?​

Answers

Answer:

[tex]c = 41[/tex]

Step-by-step explanation:

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]

[tex]c = \sqrt{81 + 1600} [/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41[/tex]

Answer:

probably c=41

Step-by-step explanation:

Mr. Tyssee got a haircut, which cost $35. He gave the
stylist a 15% tip. How much will he pay for the haricut
including tip?

Answers

Answer:

$40.25

Step-by-step explanation:

15% = 0.15, so multiply 35 * 0.15 = 5.25 to get the tip.

Since the answer is asking for both the tip and the cost, add 35 + 5.25, which gives the answer $40.25

total is: $40.25

35 x .15 = 5.25

35 + 5.25 = $40.25

Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.

Answers

Answer:

she started with 32 apples and ended with 28

there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag

Step-by-step explanation:

This graph shows which inequality?


d > 5

d ≥ 5

d ≤ 5

d < 5

Answers

Answer:

d > 5

Step-by-step explanation:

The circle is open which means there is no line underneath the sign, the way the arrow is facing is the same way the sign should be facing.

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