a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?

Answers

Answer 1

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].


Related Questions

Brainliest Answer
(has to be right for brainliest)

Answers

Answer:

it is 0.7x0.4=0.28

Step-by-step explanation:

Answer:

3627514

Step-by-step explanation:

On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?

Answers

Mixed fraction:

3 2/5 = 17/5

4 4/5 = 24/5

Miles she ran:

17/5 + 24/5

= 41/5 miles or 8.2 miles

answer choices are
A:45°
B:180°
C:61°
D:119°

Answers

Answer:

Option c: 61° is the correct answer

Step-by-step explanation:

By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.

Angle 3 and angle 5 are interior angles on same side of transversal.

When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°

So using this

m∠3+m∠5 = 180°

m∠3 + 119° = 180°

m∠3 = 180°-119°

m∠3 = 61°

Hence,

Option c: 61° is the correct answer

If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?

Answers

Answer:

$4.06 per gallon $4.06 x 7 = $28.42

Step-by-step explanation:

Find the missing measure and write your solution on the blank provided

Answers

Step-by-step explanation:

sum of internal angles of any triangle = 180 degrees

sum of an exterior angle and an interior angle = 180 degrees

Math problem pls help I will give brainiest

Answers

Answer:

y=5

Step-by-step explanation:

125 +125+13y+9y=360

punch it into math-way.

250+22y=360

22y= 110

y=5

Please help!!!
If h(x)= -3x-10, find h(-3)
Please give an explanation too. Thank you.

Answers

Answer:

h(-3)=-1

Step-by-step explanation:

Replace all x in h(x)= -3x-10 by -3:

h(-3)=-3(-3)-10

Now multiply -3 and -3:

h(-3)=9-10

Simplify 9 and -10 (aka add 9 and -10 together):

h(-3)=-1

Answer: h(-3)=-1

Hope this helps!

Answer:

-1

Step-by-step explanation:

If h(x)= -3x-10 and we want to solve for h(-3) then we have to plug in -3 for all x variables. h(-3)= -3(-3)-10, then solve using PEMDAS.

First multiple h(-3)= 9-10, multiple -3*-3 to get 9.

Then subtract, h(-3)=-1

-5x=-6
what is the value of x?

Answers

Answer: x=6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

How many pounds of chocolates that cost $7 per pound must be mixed with 3 pounds of caramels that cost $3.50 per pound to make a candy mix that
cost $5.25 per pound?

Answers

Answer:

You know somw things are changed i can't even answer that so please answer it yourself because hahhahaahahaahahhahahahha hello

Step-by-step explanation:

Because i dont know how to answer that ok?! Tell that to ur mom haha

Change 10/25 to a decimal

Answers

Answer:

0.4

Step-by-step explanation:

→ Convert fraction to a denominator of 100

10 / 25 ⇔ 40 / 100

Answer:

0.4

Step-by-step explanation:

An easy way to do this is to get the fraction over 100

So, multiply the fraction by 4 (because 25*4=100)

then you get 40/100 which is 0.4 in decimal form

Ivy wants to see 20 birds on her hike. So far, she has seen 8. How many more birds does she need to see.

Answers

Answer:

12

Step-by-step explanation:

20-8=12

Help ASAP Find the measure of 2.

21
69
111

Answers

Answer:

69°

Step-by-step explanation:

m∠1 + 111° = 180° ⇒ m∠1 = 69°

m∠1 = m∠2 = 69°

Which expression is equivalent to (1 + cos(x))2Tangent (StartFraction x Over 2 EndFraction) )?

Answers

d

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

2. Determine whether quadrilateral EFGH can
be classified as a parallelogram.
Justify your reasoning.

Now consider quadrilateral EFGH shown

Answers

Answer:

3.4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

there are two sets of parrallel lines.

please help, the question says what statement best describes the placement of the lines Carson Drew​

Answers

Answer:

Only line A is a well-placed line of best fit.

Step-by-step explanation:

I did this on Plato and got it correct.

The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet

Answers

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

I need help with this

Answers

-4,3 is the answer:)
The second one is the answer

PLS I NEED HELPPP
(if u don’t mind pls explain ur answer)

Answers

It’s x>1
Step-by-step
|3x+2|>3
step 1: add 2 both sides
|3x +2|-2+2>3+2
|3x+2|=5
step 2: solve absolute value
|3x+2|>2
we know either 3x+2> 3x+2<-5
3x+2>5 subtract two from both sides
3x+2-2>5-2
3x>3
Now divide three by both sides
X>1

b. Multiply (3 x - 1) by (x + 1)​

Answers

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

[tex] \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1[/tex]

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

got it right on edge

Which number is divisible by 3?
A) 1,794
B) 1,912
C) 1,270
D) 473

Answers

Answer:

Step-by-step explanation:

should be A.

helppppp please I will give brainliest​

Answers

Answer:

y = -1/2x

Step-by-step explanation:

The slope is negative and 1/2, and y-intercept is 0

A car travels 20 miles in half an hour at constant speed is

Answers

A car that travels 20 miles in 1,2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3,4 hour at a constant speed.

8. Three gases found in Earth's atmosphere are carbon dioxide, nitrogen, and oxygen. What is their
order of abundance from greatest to least?
A. nitrogen, oxygen, carbon dioxide
B. nitrogen, carbon dioxide, oxygen
C. oxygen, nitrogen, carbon dioxide
D. carbon dioxide, oxygen, nitrogen

Answers

Answer:

carbon dioxide,oxygen,nitrogen

An equilateral triangle and a regular hexagon have the same area. The ratio of the side length of the regular hexagon to the side length of the equilateral triangle can be written as m/√n. What is m+n?
Help me plz!

Answers

Answer:

7

Step-by-step explanation:

Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).

The area of the equilateral having side a is

[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]

Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).

As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.

Considering the triangle POR:

[tex]\angle POR= 60[/tex] degree [angle at center]

As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.

Hence, triangle POR is an equilateral triangle.

Similarly, all the remaining 5 triangles are equilateral triangles.

So, the area of hexagon = 6 x Area of triangle POR

As the length of sides of the triangle POR is b,

so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].

Hence, the area of the regular hexagon,

[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]

As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have

[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]

Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.

On comparing with the equation (iii), we have

m=1 and n=6

Hence, m+n=1+6=7.

I need an answer quick. I am trying to finish this fast.

Answers

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

Answer:

D. The m<4 is 137°

Step-by-step explanation:

The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°

ONLY DO THE THE ONES THAT HAVE BLUE NEXT TO THEM!!!

Answers

Answer:

You need to have an attachment or question for us to help you. :3

Step-by-step explanation:

List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )

Answers

Answer:

I'm thankful for everything :3

I do not know how to bake but I love cookies UvU

Step-by-step explanation:

Answer:

My family!

Step-by-step explanation:

I am baking cheesecake

I will put brainliest
The bowling club at your school had a car wash last week.
They washed 72 cars in 6.5 hours.

About how many cars did they wash per hour?

Answers

Answer:

11.077 cars / 11 cars (nearest whole number)

Step-by-step explanation:

6.5 hours → 72 cars

1 hour → 72/6.5 cars = 11.077 cars (5 s.f.)

PLEASE HELP


A car dealer offers a 15% discount off the list price x for any car on the lot. At the same time, the manufacturer offers a $1500 rebate for each purchase of a car.


a. Write a function f(x) to represent the price after the discount is applied.


b. Write a function g(x) to represent the price after the rebate is applied.


Suppose the list price of a car is $19,000. Use a composite function to find the price

of the car:


C. if the discount is applied before the rebate;


D. if the rebate is applied before the discount

Answers

Answer:

A) f(x) = 0.85x

B) g(x) = x - 1500

C) g(f(x)) = $14650

D) f(g(x)) = $14875

Step-by-step explanation:

A) The list price is x and a 15% discount is applied.

Thus;

f(x) = x - 15%x

f(x) = 0.85x

B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.

Thus, the function g(x) to represent the price after the rebate is applied is;

g(x) = x - 1500

C)if the discount is applied before the rebate, the function is;

g(f(x))

Now,

f(x) = 0.85(19000)

f(x) = 16150

g(x) = x - 1500

Thus;

g(x) = 16150 - 1500

g(x) = $14650

D) If discount after rebate, then we have; f(g(x))

g(x) = 19000 - 1500

g(x) = 17500

f(g(x)) = 0.85(17500)

f(g(x)) = $14875

Answer This math question and ill give brainliest

Answers

Answer:

16 miles

Step-by-step explanation:

there are 8 units between the points each unit is 2 miles so 8*2= 16

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