The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm3

Answers

Answer 1

Answer:

its 6.6 (I think???)

Step-by-step explanation:

the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.

Answer 2

The dimensions of the new box are 7 cm, 9 cm, and 11 cm.

How to solve

The original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.

Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]

This cubic equation can be solved for x, and the only real solution is x = 4.

Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.

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Related Questions

Write a recursive rule for the arithmetic sequence: -26, 174, 374,574

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The answer is 774, they numbers are going up by 200

Answer:ummm distributed property

Step-by-step explanation:

Jack's bottle of lemonade contains 22.75 ounces. If he drinks 1.75 ounces with each sip, how many sips are in the bottle?

Answers

Answer:

13 sips.

Step-by-step explanation:

Divide 22.75 (total) by 1.75 (amount of oz. per sip). You are left with 13, and you can check your answer by multiplying 1.75 (amount of oz. per sip) by 13 (sips). Hope this helped!

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Answer:

"shaking my head"

Step-by-step explanation:

It's an acronym used to express disgrace or annoyance by communicating the feeling of physically shaking your head at something.

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Convert
431 base 10 divided by 112base 10​

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Answer:

543 i think?

Step-by-step explanation:

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Answer: The first, second, and fourth is functions because every input has exactly one output.

The third and last ones is not functions.

Answer:

The first, third, and second are functions and the fourth and fifth are not a function

Step-by-step explanation:

Function meaning all the numbers in the y column are different so for an example 123 but if the numbers were 212 there are multiply of one number so that would not be a function

Hope this helps you point plz mark me as brainliest

What net force would be required to accelerate a truck at 10 m/s^2 that has a mass of 150 kg.

Answers

fnet=mass * acceleration

=150kg* 10= 1500N

What is the equation of the line shown in this graph?

Answers

Answer:

-3-2/-2-(-2)=m

Step-by-step explanation:

y²-y¹/x²-x¹=m

hope this helps

Rewrite the expression 3 √x^8 using rational exponents

Answers

Answer:

x^[tex]\frac{8}{3}[/tex]

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

hope that helps!

Solve the equation below:
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Answers

2+2= 4 soooooo x=4 and yh hope that that helped
2+2=x
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Trevor deposits 1500 in a simple intersect account that pays 4.3% interest annually. After 15 years how much total money would be in the account

Answers

Answer:

Do 1500 ÷ 4.3 and take what you got and multiply by 15 tell me what you got

You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
A. $5783
B. $5355
C. $6552
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Answers

The answer is A. $5,783

Explanation:

= $4,500.00(1 + [0.019 * 15])

= $4,500.00(1 + 0.285)

= $4,500.00(1.285)

= $5,782.50

Round $5,782.50 to the nearest whole dollar and you get $5,783

a gym charges a sign-up fee of $40 and then a monthly rate of $20 per month. How long before you spend $300 on this gym membership? which equation would help you solve (let x be the # of months)​

Answers

Answer:

Where cgym is the cost after m months. To find when the cost is equal, equate the right side of both equations and solve for m :.

Answer:

13 months because 13 x 20 is 260 plus the sign-up fee is 300$ all together

Step-by-step explanation:

the pants cost $45.Gina had a coupon for 15% off. How much money did she save

Answers

6.75 dollars
Step by step

A fish is hovering at –320 feet in relation to sea level. Then it descends 2 feet per second for 8 seconds. Brenda says that the new position of the fish in relation to sea level is represented by the equation below. 2 times 8 + (negative 320) = 336 Which explains whether Brenda is correct? Brenda is correct because her answer represents 336 feet below sea level. Brenda is correct because Negative 16 + (negative 320) = 336. Brenda is not correct because the new position is 2 times 8 + (negative 320) = Negative 304. Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336. ILL GIVE BRAINLIEST

Answers

Answer:

The answer is D or "Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336"

Step-by-step explanation:

I took the quiz!

Answer:

D

Step-by-step explanation:

please answer ASAP with WORK worth all my points6(3x–4) –4x

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Answer:

I hope this helps

Step-by-step explanation:

use the distribution process first and then combine like terms

x^2-x-12 factor completely

Answers

(x+3)(x-4)

hope that can help

Two times the sum of a number and twelve is 40. What is the number?

Answers

Answer:

8

Step-by-step explanation:

n= that number

2(n+12)=40

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    -24  -24

2n=16

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n=8

Answer:

the number is 8

Step-by-step explanation:

2(12 + n) = 40

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Answers

Answer:

Step-by-step explanation:

64

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Identify the domain of the function.
Replace the "?" with the correct value to identify the
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Answers

Answer:

Domain: All real numbers

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Step-by-step explanation:

The domain is every possible x value. Because the function keeps going, it will be all real numbers.

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Answers

Answer:

Stars are actually exploding when you see them, so the light is produced from the explosion.

Step-by-step explanation:

:)

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Step-by-step explanation:

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Select all of the possible side lengths for the third side of a triangle if the first two
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Answers

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

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I think you forgot to add a photo

What is the answer to this question

Answers

Answer:

Step-by-step explanation:

Tienes que multiplicar 10 ×7

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C. The slope is 3/2, and the y-intercept is-2.
D. The slope is 3/2, and the y-intercept is 3.​

Answers

Answer: Y: 2/3 X: 3/2

Step-by-step explanation:

Y rise: 2 run: 3

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And

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Step-by-step explanation:

IT IS A ON EDGE

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Answers

Answer:

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Step-by-step explanation:

your welcome

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-1, 0, 1, 2, 3} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis while the vertical red line represents the y-axis.

y = 2x

Answers

Answer:

Plot the following points on the graph

[tex](-1, \frac{1}{2})[/tex], (0, 1), (1, 2), (2, 4), (3, 8)

Step-by-step explanation:

If the equation for the line is y = [tex]2^{x}[/tex], whatever the power/exponent  "x" equals, then y is equal to however many times 2 is multiplied by x.

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If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

If x = 1, then y = 2.

If x = 2, then y = 4

If x = 3, then y = 8

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

(0, 1)

(1, 2)

(2, 4)

(3, 8)

Good night girl ill see you tommorow what does he do next
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or D nothing

Answers

Answer:

A. Fall

alright girl hahaha!!

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = mx + b

Step-by-step explanation:

A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?

Answers

7tasks takes the robot 6:5x2=1.2x2=2.4 which is 24min 24:7=3.4min. Which is 1task so roughly a robot can complete 60:3.4=18 in one hour

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

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