The difference between the length and width of a rectangle is 6, and their sum is 34. What are the length and width of the rectangle? Let the length be x and the width be y .

Answers

Answer 1

Answer:

length = 20

Width = 14

Step-by-step explanation:

x - y = 6   -------------------(I)

x + y = 34 ------------------(II)

Add equation (I) & (II). So y will be eliminated and you can find the value of x

(I)         x - y = 6

(II)       x + y = 34  {Now add}

        2x      =  40      {Divide both sides by 2}

             x   = 40/2

x = 20

Plugin x = 20 in equation(II)

20 +y = 34

       y = 34 -20

y = 14


Related Questions

If the length of a rectangle is 16 cm and breadth is 7 cm, the area in square centimetres will be

Answers

Answer:

the answer is 112 mate hope u got ur answer

it would be 112 cm2 hope this helps

Simplify. Express your answer using positive exponents.
g3g3

Answers

Answer: g^6

Hope this helps :)

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

g³ × g³ = [tex]g^{(3+3)}[/tex] = [tex]g^{6}[/tex]

Help me please!! ;okxjda.sdfajskndmf

Answers

Answer:

133

Step-by-step explanation:

2(_9)^2=162

3(-9)=-27

2(-9)^2 +3(-9)-2= 162-27-2=133

Work out the surface area of this cylinder.
7 cm
12 cm​

Answers

Answer:

Total surface of CYLINDER=2 pierh

=2*22\7**7*7*12=528cm2

volume of CYLINDER=pier2h

= 22\7*7*7*12=1848cm3

MARK ME AS A BRAINLIEST

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#Brenier

The graphs show the audience, in millions, of two TV shows as a function of the episode number. For the first show (top graph) pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.

Answers

Answer:

The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6

Step-by-step explanation:

Match the reasons with the statements.

Answers

Answer:

top=3, middle=2, bottom= 1

Step-by-step explanation:

Top-3 middle-2 bottom-1

Please help me with this please!!

Answers

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

Voting in Clarksville's annual school board elections has been going down by 5% from one election to the next. If 440 parents voted this year, how many will vote 3 years from now?

Answers

Answer:

377 parents

Step-by-step explanation:

We start by writing an exponential equation

FV = PV(1 - r)^t

FV is future value = ?

PV is present value = 440

r is rate = 5/100 = 0.05

t = 3

Substituting these values

FV = 440(1 - 0.05)^3

FV = 377.245

This is approximately 377

If the equation f(x) = 2* is graphed, which of the following
values of x would produce a value closest to the x-axis?


Answers

Answer:

X=-2

Step-by-step explanation:

Beacuse I got it right

The perimeter of a regular decagon is 363m.
State the length of one of its sides.

Answers

Answer:

36.3 m

Step-by-step explanation:

because a decagon has 10 sides so 363 divided by 10=36.3

SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!

Answers

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

If the volume of a cube is 4,913 cm³ , then the length of its side is

Answers

Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answers

Answer:

n=42, m=42[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.

I dont know how to do this pls help me ​

Answers

Answer:

5) x = 0.75

6) x = 12

Step-by-step explanation:

5)

Use geometric mean of altitude

[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]

6)

Use geometric mean of legs

[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]

3-4(12 divided by 6)

Answers

Answer:

The answer is -2

Step-by-step explanation:

First we divide 12 by 6.

12/6 = 2

Next we subtract 3 by 4.

3 - 4 = -1

Now we solve.

-1 * 2 = -2

So, the answer is -2.

Hope this helps! :)

Answer:

3

Step-by-step explanation:

Do 12/6 first and you get 2 and then you do 3-4 and you get 1


Please help !! I will give you brainliest!!

Explain each step you took to solve this question.

Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.

Answers

Answer:

angle MAT=48

Step-by-step explanation:

angle H = 44

angle M = 88

angle A = 48

triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= A

3x +11+7x
Pls help I want to learn this​

Answers

Answer:

3x +7x +11=10x+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

=3x+7x+11

Add similar elements: 3x+7x=10x

=10x+11

Dwayne is using a 15 foot ramp to help load furniture into the back of a moving truck. If the back of
the truck is 4 feet from the ground, what is the horizontal distance from where the ramp reaches the
ground to the truck?

Answers

using the pythagorean theorem, the distance would be approximately 14.46 feet

Is this a proportional relationship

Answers

Answer:

N o

Step-by-step explanation:

No it’s not because if it was you would be able to divide

I'm doing my homework and I forgot how to do these

Answers

Answer:

9 - 15/2

10 - 9

11 - 16/3

12 - 5/6

Step-by-step explanation:

- Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $27. He also incurred a one- time cost of $960 to purchase tools and a small shed to use as his workshop. He sells bikes for $67 each. How many bicycles does Aiden have to sell to reach the "break-even" point?​

Answers

Answer: Adrian will need to fix 25 bikes to reach a break even point.

The number of bicycles does have to sell to reach the "break-even" point'' will be 24.

What is a break-even point?

In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." No net gain or loss has occurred, and one has "broken even,".

Given that Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $27. He also incurred a one-time cost of $960 to purchase tools and a small shed to use as his workshop. He sells bikes for $67 each.

The number of bicycles will be calculated as:-

27 = ( 67n - 960 ) / n

27n = 67n - 960

40n = 960

n = 960 / 40

n = 24

Therefore, the number of bicycles does have to sell to reach the "break-even" point'' will be 24.

To know more about the break-even point follow

https://brainly.com/question/24233845

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solve the system of equations by adding. check your answer.​

Answers

Answer:

x+12y=40

Step-by-step explanation:

the question itself says by adding

Please help I will mark you brainliest have a good day

Answers

I believe the answer is A.
y=7x+2 is the answer because the slope is 7/1 or up 7 over 1

Find 2y-6= -6x in slope intercept form and find the slope and y-intercept. ​

Answers

Answer:

slope=-3

y-intercept=(0, 3)

Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?​

Answers

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

She will pay 42,840 because u would multiply (35000)(0.102)(12)

An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

The answer is 35.1 cm².

Hope this helps; have a great day!

A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answers

Answer:

1. 1187 square inches

Step-by-step explanation:

Good Job!

A number cube was designed to land on the number 6 more frequently than a standard number cube. What could be the probability of rolling a 6 with this number cube?


A. 1/4

B. 1/8

C. 1/12

D. 1/6

Answers

Answer:

Step-by-step explanation:

Standard cube rolling a 6 has a 1/6 probability   or  0.1667

if a cube was designed (ie weighted) to come up more often the probability of rolling a 6 would be HIGHER than the standard cube

Which of the four given answers has a HIGHER probaility value?

1/4      0.25  >  0.1667

1/8     0.125  < 0.1667

1/12    0.0833 < 0.1667

1/6     0.1667  = 0.1667

Which answer is greater than 0.01667?

For the function f(x)
8 Vas - 8. find / -'(X).
9
+8
of-'() = (9)
O/(x) = 9(+8)
O!'(x) = (18)
Of(x) = 9(2+8)
8
Submit Answer

Answers

Given:

The function is

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

To find:

The inverse function [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 1: Putting f(x)=y, we get

[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]

Step 3: Isolate variable y.

[tex]9x=8\sqrt[3]{y}-8[/tex]

[tex]9x+8=8\sqrt[3]{y}[/tex]

[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]

Taking cube on both sides, we get

[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]

[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Therefore, the correct option is C.

I need some help on this

Answers

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = [tex]\frac{6}{abc}[/tex]

Therefore, equation of the given function will be,

f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]

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