Congruent squares of length x are cut from the corners of an 8 inch by 12 inch piece of cardboard to create a box without a lid What is the... -Height of the box -Length of the box -Width of the box Write the function v(x) for the volumn of the box in terms of x. Leave in factored form.

Answers

Answer 1

Answer:

1. The height if the box is x.

2. The length of the box is 8 - 2x

3. The width of the box is 12 - 2x

4. The volume of the box is   4x(6 - x)(4 - x)

Step-by-step explanation:

1. Since the squares of length x are cut from the corners of the cardboard, the height of the box is the length of a square which is x.

2. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.

Since squares of x length are cut from the corners of the cardboard, the length of the box is 8 - 2x

3. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.

Since squares of x length are cut from the corners of the cardboard, the width of the box is 12 - 2x

4. The volume of the box is V(x) = length × width × height = (12 - 2x)(8 - 2x)x = 2 × 2x(6 - x)(4 - x) =  4x(6 - x)(4 - x)


Related Questions

A soup recipe calls for 6 chopped onions. You want to make of the recipe. How many onions will you need?

Answers

Answer:

6?

Step-by-step explanation:

??????????????????????????????????????????Is confoosed

Is easy?

Answer:

six

Step-by-step explanation:

bc if u need 6 chopped onions it still means 6 onions just u chop them

Please please help!!!!!

Answers

Answer:

[tex]188\sqrt{2}-8\sqrt{5}[/tex] feet

Step-by-step explanation:

Well the perimeter is the sum of all sides that means

P= lenght + width + lenght + width

P=2(lenght + width)

so

[tex]P=2(2\sqrt{8}+3\sqrt{5}+45\sqrt{8}-7\sqrt{5} )\\\\P=2((2+45)\sqrt{8}+(3-7)\sqrt{5})\\\\P=2(47\sqrt{8}-4\sqrt{5})\\\\P=2(94\sqrt{2}-4\sqrt{5})\\\\P=188\sqrt{2}-8\sqrt{5}[/tex]

What is the value of x in the equation?

Answers

Answer:

[tex]x=56[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\frac{2(x+4)}{3}-8=32[/tex]

First, add 8 to both sides. The left cancels:

[tex]\frac{2(x+4)}{3}=40[/tex]

Multiply both sides by 3. The left cancels:

[tex]2(x+4)=120[/tex]

Divide both sides by 2:

[tex]x+4=60[/tex]

Subtract 4 from both sides:

[tex]x=56[/tex]

And we are done!

largest to smallest 4 3/5 -17 3/5 -14 5/5

Answers

Answer:

4 3/5, -14 5/5, -17 3/5

Step-by-step explanation:

7,434 is divisible by 6. True or false?

answer fast!!!

Answers

Answer:

1239

Step-by-step explanation:

7434/6

Do long division

5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?

Do not include $signs with your response.

Answers

Answer:

16,500

Step-by-step explanation:

5-1 (the bidder) = 4 divided by 66,000 = 16,500

The number of amount that bidder need to put into a kitty for the other bidders to be compensated is 52,800

Important information:

5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000

Calculation of amount:

[tex]= 66,000 - (66,000 \div 5)[/tex]

= 66,000 - 13,200

= 52,800

Learn more about the divide here: https://brainly.com/question/640618

If h(x) = -2x+5/4, find h(x) = 3/4

Answers

Answer:

x = 1/4

Step-by-step explanation:

We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -

3/4 = - 2x + 5/4,

If we subtract 5/4 from either side : - 2x = - 1/2

Now divide either side by - 2 : x = 1/4

Therefore our solution is x = 1/4

Answer:

[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=-2x+\frac{5}{4}[/tex]

And we want to find h(x)=3/4.

So, we want to find the value of x such that h(x) equates to 3/4.

So, substitute 3/4 for h(x):

[tex]\frac{3}{4}=-2x+\frac{5}{4}[/tex]

First, subtract both sides by 5/4. The right will cancel.

[tex]\frac{3}{4}-\frac{5}{4}=-2x+\frac{5}{4}-\frac{5}{4}[/tex]

Subtract on the left:

[tex]-\frac{2}{4}=-2x[/tex]

Reduce on the left:

[tex]-\frac{1}{2}=-2x[/tex]

Now, multiply both sides by -1/2. The right will again cancel:

[tex]-\frac{1}{2}(-\frac{1}{2})=-\frac{1}{2}(-2x)[/tex]

Multiply on the left:

[tex]x=\frac{1}{4}[/tex]

So, for h(x) to be 3/4, the value of x is 1/4.

And we're done!

Soccer ball specifications require a diameter of 8.65 inches with an allowable margin of error of 0.05 inch.
Use this information to complete these statements.

The equation that can be used to find d, the diameter of a new soccer ball, is
| ____ | = ____
The minimum possible diameter of a soccer ball is ____,
and the maximum possible diameter is ____

Answers

Answer:

Equation for new diameter: |d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.60 inches

Maximum possible diameter = 8.70 inches

Step-by-step explanation:

We are told that:

Ball specifications require a diameter (d) = 8.65 inches.

Allowable margin of error = 0.05 inch

Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;

|d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.65 - 0.05 = 8.60 inches

Maximum possible diameter = 8.65 + 0.05 = 8.70 inches

3w – 15
Factoring out the GCF

Answers

factors of 3: 1,3
factors of 15: 1,3,5,15
GCF: 3
3(w-5)

The factored form of 3w - 15, after factoring out the Greatest Common Factor, is 3(w - 5).

To factor out the greatest common factor (GCF) from the expression 3w - 15, we first need to determine the GCF of the two terms.

In this case, the GCF of 3w and 15 is 3. Both terms are divisible by 3.

To factor out the GCF, we divide each term by the GCF:

3w/3 - 15/3

Simplifying further, we have:

w - 5

Therefore, the factored form of 3w - 15, after factoring out the GCF, is 3(w - 5).

Factoring out the GCF is a process that involves identifying the highest common factor of all the terms in an expression and dividing each term by that factor. This helps simplify the expression and can make it easier to work with or further factorize if needed.

In this case, the GCF was 3, so we divided both terms by 3 to factor it out, resulting in the simplified expression w - 5.

To learn more about the greatest common factor;

https://brainly.com/question/11221202

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The complete question:

Find out the factored form of the following expression,

3w – 15

Factoring out the GCF

What is the solution to -6z=72 1) 12 2) 9 3) -9 4) -12

Answers

Step-by-step explanation:

-6z = 72

z = 72/(-6)

= -12

4) -12

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6z = 72}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6z}{ - 6} = \frac{72}{ - 6} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{z = - 12}}[/tex]

Hope I helped!

Best regards! :D

At Davidson's Bike Rentals, it costs $22 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use? dollarsperhour

Answers

Answer:

$3.66

Step-by-step explanation:

22÷6=3.66666666667 or 3.66

Test weather 167 is prime

Answers

Answer:

167 is a prime number

Step-by-step explanation:

coz 167 is not divided by any no except 1 or itself

What is the image point of (6,8)(6,8) after a translation right 5 units and up 3 units? ​

Answers

Answer:

11,11 I believe this is the answer.

The new coordinate of the image of the point is (11,11).

What is Transformation?

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

The point coordinate is (6,8)

The translation is right 5 units and up 3 units

The x coordinate is shifted 5 units to the right, (x+5)

and the y units is shifted 3 units up, y+3

(6+5, 8+3)

(11,11)

To know more about Transformation

https://brainly.com/question/11709244

#SPJ2

Suppose we flip a fair coin n times. We say that the sequence is balanced when there are equal number of heads and tails. For example, if we flip the coin 10 times and the results are HT HHT HT T HH, then this sequence balanced 2 times, i.e. at position 2 and position 8 (after the second and eighth flips). In terms of n, what is the expected number of times the sequence is balanced within n flips?

Answers

Answer:

Step-by-step explanation:

Given:

fair coin is flipped n times

sequence is balanced when there are equal number of heads and tails

To find:

In terms of n, what is the expected number of times the sequence is balanced within n flips

Solution:

Let C(n,r) be the binomial co-efficient. The sample space has [tex]2^{n}[/tex]

Suppose that n is even because there are equal number of heads and tails and the number of heads and tails is not equal when n is odd.

As the result can be either head or tail so the probability of getting head is 1/2. So the number of these sequences with n/2 head is C(n,n/2) since we choose n/2 out of n to be assigned heads.

As every string sequence is equal chance of occurring so the probability is

C(n,n/2) / [tex]2^{n}[/tex]

Determine the input that would give an output value of 2/3.​

Answers

Answer:1/6 is the answer

Step-by-step explanation: I have done this befor.

Answer: x = 19

Step-by-step explanation:

Jessica buys ground beef in a 10 pound tube at the store. She spends $19.90 on ground beef. Identify the unit of measure for this problem.

Answers

Answer: $1.99

Step-by-step explanation:

PART A: Cost Of Item/ Number of units of measure

Part B: 10 Pound Tube.

Part C: $19.90 / 10 Lb Tube = $1.99

The Unit cost for the ground beef is $1,99

Calculate the a50 term of the geometric sequence with a28 = 3 and r = -1

Answers

Answer:

3

Step-by-step explanation:

multiplying by -1 only changes the number if you're multiplying an odd amount of times, but this time you're going from 28 to 50, so it's even, so the number stays the same.

A group project in an intro stats project looks at the cost of gasoline. Students recorded the cost per gallon at a nearby gas
station over a period of 10 weeks and want to make a time plot. What variable goes on the horizontal axis?
Choose the correct answer below.
Time (week 1 - Week 10)
Day of the week the cost was recorded (Sun - Sat)
Cost per gallon

Answers

Answer:

Time (week 1 - week 10)

Step-by-step explanation:

Given

Measure of cost of gasoline over a period of time

Required

Determine what variable belongs to the horizontal axis

To answer this question, I'll re-echo the given parameters again

Measure of cost of gasoline over a period of time

This can be rephrased to be

Measure of cost of gasoline with respect to time

This means that the cost of gasoline is a function of time (10 weeks, to be precise).

Hence;

Cost will be on the vertical axis

Time will be on the horizontal axis

Conclusively,

The first option answers the question

(a) An angle measures 27°. What is the measure of its complement?
(b) An angle measures 53°. What is the measure of its supplement?
measure of the complement:
X
$
measure of the supplement:
Please help

Answers

Answer:

a) 63°

b) 127°

Step-by-step explanation:

Complements are 90° while supplements are 180°.

So you need to find the complement of 27°. So, 90-27=63

To find the supplement, it is 180-53=127

Value of 3 in 6300 is what times the value of 3 in 530

Answers

Answer:

Value of 3 in 6300 is 10 times the value of 3 in 530

Step-by-step explanation:

3 in 6300=hundreds place

3 in 530=tens place

Therefore 10 times

me ayudan por favor es para mañana pero lo necesito ahora me ayudan ​

Answers

Answer:

1) 11/10= 1 1/10

2)17/15= 1 2/15

3)10/10= 1

4)11/10= 1 1/10

5)9/18= 1/2

What is the lenght of the unknown log in the right triangle?
25 m
b
20 m
O 5 m
5 m
O 745 m
15 m

Answers

N sei só quero pontos

Which algebraic rule for a rotation describes the change in coordinates: G(5, -1) to G' (-5, 1)?

Answers

Answer:

Rotate 180 degrees around (0,0) or flip y axis and then x axis

Demonstrate your knowledge of probability here. If you were to spin the spinner and roll the die below….. What is the P(green or 5)?

Answers

Answer:

P= any number or color

Step-by-step explanation:

because there is all sorts of cobinations.

But the most possible one is

Red for the spinner and any number for the die.

possible answers.

red:1

Red:2

Red:3

Red:4

Red:5

Red:6

Brainly please

1. Estimate 6,963 - 3,098. Round each number first.
A about 5,000
B about 4,000
C about 2,000
D about 3,000

Answers

B about 4,000 because 6,963 rounds to 7,000 and 3,098 rounds to 3,000 - 7,000-3,000= 4,000

Answer:

the answer is 3,765

so the estimate is 4,000

B. About 4,000

35-2.4(7-5)
What is the answer to this question

Answers

30.2 is correct according to PEMDAS

One-fourth of a number is five-eighths. Find the number.

Answers

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

Simplify the given expression below: (3 + 4i) + (5 − 2i) (2 points)

Answers

Answer:

your answer will be 8+2i

Answer:

8 + 2i.

Step-by-step explanation:

(3 + 4i) + (5 - 2i

= 3 + 5 + 4i - 2i

= 8 + 2i.

AB = 5x -9; BC= -2x + 12

Answers

Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

(+) (-)

7x = -21

X= -3

plz mark ice bear as Brainliest

Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct? 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

Answers

Answer: its A

1. Multiply the divisor by a multiple of 10 to create an integer divisor.

2. Multiply the dividend by the same multiple of 10 as step 1.

3. Divide, and apply the rules for dividing signed numbers.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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