Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer 1

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x


Related Questions

Use segment addition postulate
If k is the midpoint of JL, JK=8x+11 and KL = 14x-1, find JL

Answers

8x+11 =14x-1
x=2
plug 2 into the equations to find the lengths then add them
16+11=27=JK
28-1=27=KL
27+27=54
54=JL

Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.

Answers

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

1/3 multiplied by -3/4

Answers

Answer:

-.25

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

The answer is -1/4 as 1/3x3/4 is 1/4, and as we have a negative number, the 1/4 flips to -1/4. Hope it helps!

I need help3

Find the unit rate:

150 students for 5 classes. How many students per class?

Answers

Answer:

30

Step-by-step explanation:

150 divided by 5 is 30 i hope this helps

Answer:

The unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!

A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?

Answers

Answer:

1:5

Step-by-step explanation:

The correct answer is 40:10 or 4:1 rounded

A recipe for servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?


Plz help

Answers

2/3 multiplied by 18 gives you 12

A collar maker earns $0.27 per collar. If he sews 55 collars,
then how much will he earn?

Answers

Answer:

14.85

Step-by-step explanation:

Answer: 14.85 dollars

Step-by-step explanation:

When you multiply .27 times 55 to see how much money he will make by sewing 55 collars, you will get 14.85 dollars.

At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit

Answers

$0.54 x 2.6 =$1.404  

$1.28 x 3.1=$3.968  

$1.404 rounds to $1.40

$3.968 rounds to $4

$4 = $ 1.40 = $5.40  

:)

Answer:

$12.84

Step-by-step explanation:

to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:

0.54 x 3 = 1.62

2.19 x 3= 6.57

1.55 x 3= 4.65

1.62 + 6.57 + 4.65 = 12.84

Michael took an online test to get his Learner's Permit to drive. He was on question number 18 and the progress bar said he was 20%. How many questions are on this test?

Answers

im sorry i couldnt figure it out

Step-by-step explanation:

PLZ HELP ME HELP PLZ

Answers

Answer:

2000

Step-by-step explanation:

that i the answer becuase you multply

Choole a line m that passes through point, P, and is parallel to linel.

Answers

Answer:

c

Step-by-step explanation:

what is −58+34 any one know?

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-58 + 34 = -24

Step-by-step explanation:

You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.

REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.

Hope that was helpful and not confusing!!!

how do you factor p^2-5p-36

Answers

Your answer will be:

(p - 9) (p + 4) in factored form.

How do you expect me to respect you when you don’t respect yourself

Answers

Answer:

You don't

Step-by-step explanation:

*Mind Blown*

i don’t respect anyone that doesn’t respect me. simple as that

A submarine is situated 400 feet below sea level. If it drops another 250 feet below sea level, what is the new position?

Answers

Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that

How do you graph a piecewise defined function?

Answers

Answer:

hope it helps..

Step-by-step explanation:

1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.

2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.

Answers

Answer:

There were 15 small boxes shipped and 5 large boxes shipped.

Step-by-step explanation:

Let s = the number of small boxes shipped

Let l = the number of large boxes shipped

Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:

                                                 35s + 65l = 850

Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l

                                                  s = 3l

Write System of Equations:

                                                 35s + 65l = 850

                                                     s = 3l

Substitute value of s into the first equation:

35(3l) + 65l = 850

105l + 65l = 850

170l    850

__   =   __  

170      170

  l = 5

Since l = 5, we know 5 large boxes were shipped.

Use l = 5 to solve for s:

s = 3l

s = 3(5)

s = 15

Since s = 15, we know 15 small boxes were shipped.

Find the surface area of the prism​

Answers

Answer:

SA = 5645cm²

Step-by-step explanation:

We have three pairs of congruent rectangles

9cm × 4m; 9cm × 5cm and 4m × 5cm

We know 1m = 100cm, therefore 4m = 400cm

The formula of an area of a rectangle l × w:

A = l · w

Substitute:

A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²

A₂ = 9cm · 5cm = 45cm²

A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²

Calculate the surface area:

SA = A₁ + A₂  + A₃

SA = 3600cm² + 45cm² + 2000cm² = 5645cm²

Answer:

202cm²

Step-by-step explanation:

2×(5×9)+2(4×5)+2(9×4)

90+40+72=202cm²

2/5(5k+35) -8 =12 please helpppppppp

Answers

Answer:

k =3

Step-by-step explanation:

2/5(5k+35) -8 =12

Add 8 to each side

2/5(5k+35) -8+8 =12+8

2/5(5k+35)  =20

Multiply each side by 5/2

5/2 *2/5(5k+35)  =20*5/2

5k+35 = 50

Subtract 35 from each side

5k+35-35 = 50-35

5k = 15

Divide by 5

5k/5 = 15/5

k =3

See attachment for math work and answer.

what percent is 52.52 million of 142 million

Answers

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = [tex]\frac{comparing number }{total number } x 100[/tex]

          = [tex]\frac{52520000}{142000000}[/tex] x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

What is (16)-(11)7 in distributed property

Answers

Answer: I think you answer is -61 if not sorry

Step-by-step explanation:

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3

Answers

I think it’s B because it’s negative

Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35

Answers

By completing squares we will see that the solutions are:

[tex]x =\pm \sqrt{35} + 8[/tex]

How to complete squares?

Here we have the quadratic equation:

[tex]x^2 - 16x + 50 = 21[/tex]

We can rewrite it as:

[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]

Then we must have a 8² term to complete squares, then we need to add and subtract 35.

[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]

Now we can solve this:

[tex]x =\pm \sqrt{35} + 8[/tex]

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2

If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answers

This question is Incomplete

Complete Question

The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.

a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.

Answer:

a. 8.85kg of flour is left.

b. 2.95 bins

Step-by-step explanation:

The bakery bought 4 bags of flour containing 3.5 kg each.

Total kg of flour the Bakery bought : 4 × 3.5kg

= 14 kg of flour

0.475 kg of flour is needed to make a batch of muffins

1 batch of muffin = 0.475kg of flour

4 batches of muffins = ???

Cross Multiply

4 batches × 0.475kg/ 1 batch

= 1.9kg of flour was used.

0.65 kg is needed to make a loaf of bread.

1 loaf of bread = 0.65kg of flour

5 loaves of bread = ???

Cross Multiply

5 loaves × 0.65/1 loaf

= 3.25 kg of flour.

Total kg of flour used = 1.9kg + 3.25kg

= 5.15kg of flour.

The amount of flour left = 14kg - 5.15kg

= 8.85kg of flour is left.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?

3 kg of flour is stored = 1 bin

8.85 kg of flour is stored = x

Cross Multiply

3kg × x = 8.85kg × 1 bin

x = 8.85 kg × 1 bin/3kg

x = 2.95 bins

the quotient of n and 3 is less than 5

Answers

Answer: n = 12

Explanation:
12/3= 4
4 is less than 5!!

What is the range of the function shown in this table? х3 4 5 6 y4 4 2 5 A. (3, 4), (4, 4), (5, 2), {6, 5{ B. {3,4,5,6} C. {3, 4} D. {2,4,5}

Answers

The answer fam is............ D. {2,4,5}

Solve for : x
6x+34+ 8x+14
my last one please helpp

Answers

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

y - y₁ = m(x - x₁)

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

read more: https://brainly.com/question/19478605?referrer=searchResults

The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?

Answers

Answer:

36

Step-by-step explanation:

Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2

Answers

Answer:

B

Step-by-step explanation:

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