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

18) Which of the following situations can be represented by a
proportional relationship?
A. David has $100 in his savings account and adds $5
per week.
B. The initial fee for a website is $60 and $44 per month
to maintain the website.
C. The cost to rent a beach house is a $200 deposit and
$400 per night.
D. Linda earned $8.00 per hour at her summer job.

Answers

D. Linda earned $8.00 per hour at her summer job.

NEED HELP!!
the graph shows the volume of oil in a tank at time t seconds

Answers

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The gradient of the graph is 2.5The gradient shows rate of oil in the tankThe value represents the amount of liquid in the tank.What eos the do graph tell?

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

brainly.com/question/14323743

simplify h + h + h , I really need help

Answers

3h

Explanation:

Add them

Answer: The answer is 3h

Step-by-step explanation:

(4n⁴-8n+4) - (8n²+4n⁴+1)
How do I simplify this expression?

Answers

Answer:

-4n^4-4n^2-8n+3

Step-by-step explanation:

you combine the like terms

Of the seeds Quincey planted in his tomato garden, 75% grew into mature plants. If Quincey has 39 tomato plants in his garden, how many seeds did he plant?

PLEASE HELP WORTH 70 POINTS

Answers

Answer:

52 seeds.

Step-by-step explanation:

So, 3/4 of his plants have grown. SO, 3/4 = 39 plants, and if we divide by 3, we get 1/4 of the plants are 13 plants. SO, if we want to find 4/4, we can multiply 13*4=52 seeds.

Quincey planted 52 seeds in total.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

75% grew into mature plants.

If Quincey has 39 tomato plants in his garden.

let x number of seed he planted.

So, 75% of x= 39

75x/100= 39

75x = 3900

x = 52

Hence, He planted 52 seeds.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ6

solve for x? please help​

Answers

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

PLEASE HELP
Chipotle Burritos are normal distributed with a mean length of 200mm and a standard deviation of 8mm. What is the probability that a burito picked at random is shorter than 190mm?

Answers

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Benjamin uses a $20 bill to pay for his lunch. He received more than $5 in change. Which number line shows the possible cost of Benjamin's lunch?

Answers

YUHHHHHHHHHHHHHHHHHHHHHH

The equation for the graph shown below in factored form?

Answers

Answer:

The graph is not visible

Step-by-step explanation:

Do something about it

Please help with this question.

Answers

Answer:

m∠M = 47°

m∠R =  124°

Step-by-step explanation:

HOME = TRAP

Judging buy the picture there is only one corner that sticks out compared to the rest of the angles. Meaning that A and M are the same because they are the only angles that are easily identical to each other. Then match the letters using this information

m∠A = m∠M

m∠R = m∠O

m∠T = m∠H

m∠P = m∠E

Now all you need to find is m∠R and m∠M

m∠A = m∠M means m∠M = 47° since m∠A is 47°

Same concept goes for m∠R = m∠O.

You can text 44 words in 1 minute. Write a proportion to help you find
how many words you can type in 4 minutes. Which choice sets up the
proportion correctly and has the correct solution?

Answers

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

44 words = x

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

How much does a bracelet with three charms cost?

Answers

Answer:

65 + 25(3)

65 + 75

140

Step-by-step explanation:

Answer:

$140

65+25+25+25=140

find the common difference for the arithmetic sequence 33 39 45

Answers

Answer:

positive 6 is the change in the sequence

Please help!! Algebra 2

Find f(2) if f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21 F(2)=

Answers

substitute x for 2
5(2)^5-3(2)^4-17(2)^3-4(2)^2+10(2)+21
do the exponents
5(32)-3(16)-17(8)-4(4)+10(2)+21
simplify
160-48-136-16+20+21
1
f(2)=1

Answer: f(2)=1

Step-by-step explanation:

This is a function-related problem. In order to solve f(2), you need to substitute the value into the original function.

-----------------------------------------------------------------------------------------

f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21

f(2)=5(2)⁵-3(2)⁴- 17(2)³-4(2)²+10(2)+21

f(2)=160-48-136-16+20+21

f(2)=1

Hope this helps!!

Please let me know if you have any questions

right answer gets brainliest please help due in 10min ​

Answers

Answer:

A

Step-by-step explanation:

its 5.5 an hour and the cost is 15 at the start

Find the slope of the line through each pair of points (13,-15) (5,5)

Answers

Answer:-2.5

Step-by-step explanation:

The slope is -2.5

The dot plot represents a sampling of ACT scores:

dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25

Which box plot represents the dot plot data?

I have pictured the possible answers.

Answers

Answer:

The first box plot is correct

Step-by-step explanation:

Answer:

A. With numbers 18, 21, 22, 23 and 25

Step-by-step explanation:

Lets analyze the dot plot and work out 5 numbers.

We see the minimum score is 18 and maximum score is 25, these are the two numbers.

The scores

18 , 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25

Median of the data:

(22 + 22)/2 = 22

Lower half

18 , 19, 19, 19, 21, 21, 21, 21, 22Median of lower half = 21

Upper half

22, 22, 22, 23, 23, 23, 24, 24, 25 Median of upper half = 23

We now have 5 number summary:

18, 21, 22, 23 and 25

Looking at the box plots, we see the first one is reflecting the numbers we got.

Write a rule for the linear function in the table.



f(x) = 4x + 3



f(x) = –4x – 3



f(x) = x + 3



f(x) = [tex]\frac{1}{4}[/tex]x +3

Answers

Answer:  I would go with A. f(x) = 4x + 3

Nothing further can be done with this topic. Please check the expression entered or try another topic.

f ( x ) = 4 x + 3 ,     f ( x ) = − 4 x − 3 ,     f (x ) = x + 3 ,     f ( x ) = x + 3

Step-by-step explanation:  Set up the composite function and evaluate.

f ( 4 x + 3 ) = 16 x + 15

Graph.

f ( x ) = 4 x + 3

f ( x ) = − 4 x − 3

f ( x ) = x + 3

f ( x ) = x + 3

How to solve mentally

Answers

Step-by-step explanation:

1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1

2.Double +1

3.use adittion facts when adding bigger number.

4.subtract by adding

5.five times a number

6.four and eight times a number

7.multiply in parts

im good in math

it cut it off but it says let h represent the cost of each hotdog !! please help ​

Answers

Answer:

the the answer is

5(2h+d)

If the expression 5+2x was evaluated for x=4 its value would be

Answers

Answer:

13

Step-by-step explanation:

5 + (2 * 4)

5 + 8 = 13

Are the lines parallel? y = x + 4 and y = x - 2 *

1. yes, they have the same slope and a different y-intercept

2. no, they are not parallel

Answers

Yes, everything in #1 is correct. You can test this by drawing it quickly in a sketch

Which of the following shows the correct solution steps amd solution to 7x-4=-18

Answers

Answer:

D

Step-by-step explanation:

7x - 4 = -18            (add 4 to both sides)

7x = -14                  (divide both sides by 7)

x = -2

the answer is D

1/2 x 1/7? Pls help me!!!!

Answers

Answer:

0.07142857142

Step-by-step explanation:

1/14
Is the answer,your welcome

c/2 = negative 3
pls helppp

Answers

Answer:

c=  -6

Step-by-step explanation:

I hoped this helped!

Correct me if I'm wrong!

Find the length of an altitude of an equilateral triangle with sides of 4 cm.

Answers

Answer:

c.

Step-by-step explanation:

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

A train is traveling at a speed of 60 miles per hour. What statements are correct? Select all that apply.
The number of miles the train travels causes a change in the number of hours.
The number of hours causes a change in the number of miles the train travels.
Om, the number of miles, is the independent variable.
h, the number of hours, is the dependent variable.
m, the number of miles, is the dependent variable.
h, the number of hours, is the independent variable.

Answers

Answer:

2, 5,6

Step-by-step explanation:

Answer:

2, 5, 6

Step-by-step explanation:

plz give me brainliest, i have no more and i need to level up

-3X + 24 = 48 X=
What would this equal?

Answers

Answer:

x=-[tex]\frac{24}{51}[/tex]

Step-by-step explanation:

-3x+24=48x

-3x-48x=-24

-51x=24

x=-[tex]\frac{24}{51}[/tex]

a line is reflected. which of these could be the result?

Answers

Answer:

A

Step-by-step explanation:

I chose C on A P E X but it said the answer was A

The line is reflected it could be a result of the line or the point is congruent to the preimage. Hence the option A is correct.

Waht is relfected line ?

A reflected line is a figure such as an image that is reflected when the image is congruent to the preimage. It point in the figure to the image across the fixed line. This fixed line is caleld as line of reflectance. It can done by coordinating the using the planes.

Find out more information about the reflected line.

brainly.com/question/22342234

a rectangle has sides measuring (3x + 5) units and (6x + 11) units

Answers

Answer:

Part A: 18x^2+63x+55, B: second degree trinomial, Part c: (3x+5) (6x+11) =18x^2+63x+55

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