help..
The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the shoebox has an area of 72 square centimeter.
Write an equation to represent this situation with w representing the width in centimeter

Answers

Answer 1

Answer:  [tex]w^2+4w-36=0[/tex]

Step-by-step explanation:

Let w = width of the base of the shoebox.

As per given ,

Length = 8+2w centimeters

Area of base = 72 square centimeter

Area of rectangle =  Length x width

[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]

Required equation: [tex]w^2+4w-36=0[/tex]


Related Questions

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

https://brainly.com/question/6032811

how to find an opposite ray?

Answers

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

What is the sum of the exterior angles, one at each vertex, of any polygon?

Answers

Answer:

Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam ​

Answers

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

A. 9,10 B.10,8.3 C. -10,8.3 D-9,10​

Answers

B is the answer to your question

zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.

Answers

Answer:

40

Step-by-step explanation:

The initial value of the function is 40, which represents the amount of money she deposits each week

What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?

A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4​

Answers

Answer:

D. 3/4

Step-by-step explanation:

using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4

Answer:D

yee

Step-by-step explanation:

solve for c

solve for r

Answers

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

I just need to know what elevation did Winston reach during his deepest dive?

Answers

Answer: 20.2 * -2.5ft = -50.5ft

Hence, Winston reach -50.5 feet during his deepest dive.

If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer....                                         I had this question too, and this is what i got....

Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D

A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?

Answers

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

the opposite of 5x and 5x+8?

Answers

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x

Answers

Answer:35

Step-by-step explanation:

take 180 and subtract those numbers and u get ur answer

1/3+ 1/8 show your work a with equation
please hurry ​

Answers

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

Simplify the following equation (2^3)^-2

Answers

Multiply the exponents
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64

;-; help pleaseeeeee e e e

Answers

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot

Answers

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

What is the initial value in this question y=8x+6 8 or 6?

Answers

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.



C = __

Answers

Answer:

C = 2.75

Step-by-step explanation:

it does not tell how much there for it is 1 gallon

Jacob made $45.50 selling lemonade. He wants to make 15% more the next time he sells his lemonade. How much money does Jacob want to make?
PLEASE HELP!! FREE BRAINLY!! QUICK!

Answers

It’s would be 52.32

2x - 3y = 6
Find the x and y Intercepts

Answers

Answer:

x-intercept(s): (3,0)

y-intercept(s): (0,−2)

Step-by-step explanation:

Answer:

x=3 and y=-2

Step-by-step explanation:

2x - 3y = 6

cancel out the y

2x - 3(0) = 6

2x = 6

divide both sides by 2

x = 3

2x - 3y = 6

cancel out the x

2(0) - 3y = 6

-3y = 6

divide both sides by -3

y = -2

Hope this helps!!

what is the slope for (-11, 1) and (-2, 6)?

Answers

Answer:

5/9

Step-by-step explanation:

You can verify me by using the y2-y1/x2-x1 formula

Which strategy below would NOT get you an
accurate estimation of 33% of 146.7?
A) Round the percent and find 30% of 146.7
B) Round the number and find 33% of 150
C) Use benchmark percent and find 50%
of 146.7
D) Round the percent and number and
find 30% of 150
E) All of them would be an accurate
estimation,

Answers

Answer:

C) Use benchmark percent and find 50%

of 146.7

Step-by-step explanation:

Accurate estimation of 33% of 146.7

A) Round the percent and find 30% of 146.7

Acceptable, rounded down the %

B) Round the number and find 33% of 150

Acceptable, rounded up the number

C) Use benchmark percent and find 50%

of 146.7

NOT acceptable as 50% is too much for 33%

D) Round the percent and number and

find 30% of 150

Acceptable, both % and the number rounded

E) All of them would be an accurate  estimation

No, option C only

help plz brainliest to best answer​

Answers

Answer: -1/27

Step-by-step explanation:

Answer:

-1/27

Step-by-step explanation:

Find the perimeter of the shaded region of this composite figure. ​

Answers

Answer:

perimeter of shaded region:

area of rectangle- area of semicircle

l×b‐(pie r²) diameter of circle‐6m; Radius‐3

8×6‐(3.14×3×3)

42— 28.26=13.74m

HOPE IT WILL HELP YOU

PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.


Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.

Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4

Answers

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain

Answers

This is impossible in 1 roll

the probability is zero

can someone please answer this

Answers

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

BONUS QUESTION: Earn up to 2 bonus points for this question.
I have a Starbucks reward account. I earn "stars" for every purchase I make. Then I can spend those stars to get free items. My usual drink costs me either $5.45 or 150 stars. Sometimes I get Pumpkin Bread, which costs either $3.15 or 50 stars.
Today I am going to get my usual drink and some Pumpkin Bread. Which item is the better one to use my stars on? Explain why you think that is the better option.

Answers

Answer: I would say try and use your 150 stars you’ll save more money for that day and earn more stars.

Step-by-step explanation:Hope this helps!

Please give me the answer from 1 to 10 and tell me how you get it please in a notebook

Answers

wow that's a lot lol

1. slope = 0

2. slope = -5

3. slope = 5

4. slope = 0

5. slope=  -1

6. slope = -1/2

7. slope = 3

8. slope = -1/10

9. slope = 1/2

10. slope = -1/2

Explanation :

I won't explain every question because that'll take forever but I can explain one step by step.

An example is number 5

You have the points, ( -4 , 5 ) ( 1 , 0 )

You need to use the SLOPE FORMULA

So first put an x1 and y1 below the points -4 and 5.

then put x2 and y2 below the points 1 and 0

the slope formula is   m = y2-y1/x2-x1

plug in the numbers which will look like

0-5/1+4

It's plus 4 instead of -4 because a negative and negatives gives you a postivie

Simplify and you get m = -1

Divide 6 divided by 3/5


Answer only if u know please:)

Answers

Answer:

The answer is 10 or 10/1

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