A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open
box. If the volume of the box is 1050 in3, what were the original dimensions of the piece of metal?
What is the original width? in
What is the original length in

Answers

Answer 1

breadth= X

L= x+30

after you cut a square with 6in from the corners, the length becomes x+30-6 =x+24 and breadth becomes x-6.

The eqn for volume of box is Length x Breadth x height

it's given that LxBxH = 1050

here height is 6, because u are folding the edge where it's been cut off and that side becomes the height.

rewrite with the given information we get

(x+24)*(x-6)*6 = 1050

divide both sides with 6

(x+25)*(x-6) = 175

distribute the brackets we get,

x^2 -18x -144 =175

x^2 -18x-319 = 0

solve for x using quadratic formula.

we get x= 29, -11

since length cannot be negative x= 29

B= 29, L=59.


Related Questions

help me please I need help ​

Answers

Answer:

DO NOT GO ON THST LINK< IT WILL SEND A VIRUS TO YOUR DEVICE!!!

Step-by-step explanation:

Please help me with number 6

Answers

x-4=y so when x is 40 then y will be 36
It’s gonna be 36 I think

not good at ms\ath so can you help me

Answers

Answer: 20

Step-by-step explanation:

Mean and average of numbers are calculated the same thing

To find the mean, you add up all the numbers and divide them by the number of values there are

In this case, there are 6 values

(14 + 17 + 21 + 28 + 40) / 6 =

120 / 6 =

20

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 16, 8,4,... 16,8,4,... \text{Find the 10th term.} Find the 10th term.

Answers

Answer:

0.03125

To the nearest thousandth = 0.031

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

B

Step-by-step explanation:

Since the only difference in the aquariums is the length, you can find the difference by multiplying the difference in length with the rest of the dimensions.

Difference in length = 4ft - 3ft

                                 = 1ft

Difference in volume = 1ft × 2ft × 1ft

                                   = 2ft³

5. During the day a person consumes 360
calories from fruit. How many calories does
this person consume in their daily diet?
A. 1,600
B. 2,300
C. 2,400
D. 2,600

Answers

The person consumes a 1,600

Answer: C :2400

Step-by-step explanation:

Part over whole and percent over 100 you put 15 as your percent and 100 over it then you put 360 as your part then you multiply 360x100=36,000 you divide that with 15 and you get 2,400

simplify it the following:
X u ( X n Y )​

Answers

Answer:

X^2unY

Step-by-step explanation:

Xu(XnY)

= X^2unY

sorry if the process and answer is wrong.

Potatoes cost 1.20 euros per kilogram work out the cost of 5 kilograms of potatoes

Answers

Answer:

Step-by-step explanation:

cost for 1 kg potatoes = 1.20 euros

Cost of 5 kilograms of potatoes

= 5 * 1.20 euros

= 6 euro

Hope it helps :)

Help me because I need to get a 10/10

Answers

option 4 I believe !
Pretty sure it’s option 4 :>

What is

0.8×10⁴=


0.8×(10×4)=32.00.8×(10×4)=32.0


0.8×(10+10+10+10+10)=32.00.8×(10+10+10+10+10)=32.0


0.8×(10×10×10×10)=80,0000.8×(10×10×10×10)=80,000

0.8×(10×10×10×10)=8,0000.8×(10×10×10×10)=8,000



Answers

Answer:

8000 is the answer.

Step-by-step explanation:

0.8 x 10⁴ = 8000

8000 is ya answer sir

I Need help with these please

Answers

9514 1404 393

Answer:

  5.  (d) 8

  6.  (c) 120°

Step-by-step explanation:

5. OC is a radius, just like BO is. The angle at B is a right angle, so the Pythagorean theorem can be used to find BO.

  AO² = BO² +BA²

  BO² = AO² -BA² = 17² -15² = 289 -225 = 64

  BO = CO = √64 = 8

__

6. The measure of arc IK is the same as the measure of the central angle. If we name the circle center X, then arc IK = ∠IXK = ∠HXL because those angles are vertical angles.

  arc IK = 120°

Ellie worked 6 hours on Monday, 4.5 hours on Tuesday, 4 hours on Wednesday, 5.75 hours on Thursday, and 3 hours on Friday. If she is paid $10.18 per hour. Find her gross earnings for the week.

Answers

Answer:

⚠️DO NOT RELY ON ME⚠️ But, just by doing It in my head i think it's 236.685, but I don't really know just my thought process and mental math

A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than 11 ounces, it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between 7.5 and 13 hours.
(a)
Give a mathematical expression for the probability density function of battery life.
f(y) =

(b)
What is the probability that the battery life for a tablet junior will be 10.5 hours or less? (Round your answer to four decimal places.)
(c)
What is the probability that the battery life for a tablet junior will be at least 11.5 hours? (Round your answer to four decimal places.)
(d)
What is the probability that the battery life for a tablet junior will be between 8.5 and 10.5 hours? (Round your answer to four decimal places.)
(e)
In a shipment of 100 tablet juniors, how many should have a battery life of at least 12 hours? (Round your answer to two decimal places.)
tablet juniors

Answers

Answer:

showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between

Step-by-step explanation:

What is the common denominator of 1 4

Answers

14 is the answer! Hope this helps

Plz help if correct ill give brailiest

Answers

it is probably B x has to be more than 7 but can be equal 7 at the same time.

Answer:B

Step-by-step explanation:the answers B because the closed circle is greater that or equal too, and because the inequality is greater than the arrow points to the left. B, the dot is on 7 which if we add that to 18 is 25 which is the greatest number that can work for this inequality making this answer correct.

Hope this helps you understand it!

Find the slope and reduce.
P=(5, 7) Q=(-2, -3)

Answers

Answer:

10/7

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

You can’t reduce so the final answer is 10/7

OMGG PLEASE HELP! GIVING BRANILEST!! I need ASAP!! THIS DUE IN LIKE 2 MINUTES

Answers

Answer:

28.33

(Ignore these words)

Plz help iff correct ill give Brainlyest

Answers

[tex]x-5\leq 12[/tex]

You add 5 to each side

[tex]x\leq 17[/tex]

This inequality will be correct if x is less than or equal to 17. Meaning any number less than 17 and including 17 will make the equation correct. For this reason you pick the one with a filled circle. The answer is H

it s H because x has to be less than 17 but at the same time it can be equal to 17.

What percent of 64 is 26?

Answers

40.63%

(adding extra words so it's longer than 20 don't mind me here)

A quarter falls off a building that is 144

feet tall. If the equation for height as a

function of time is

h(t) = -16t2 + initial height where t is

time in seconds and h(t) is height in

feet, how many seconds will it take for

the quarter to hit the ground?

Answers

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Can anyone help me I need this help.

Answers

Answer:

sorry we cant see the work I would help if I see the pitcher plz

Step-by-step explanation:

The picture is black, what is the question?

help please this is due by 11:45 also its 6th grade math btw

Answers

Answer:

578[tex]m^{2}[/tex]

Step-by-step explanation:

Answer: 578 m2

Step-by-step explanation: Hope this helps!! <3

Read the writing prompt for an argumentative essay.

Studies show that teenagers spend hours a day on social media. What impact do social media platforms have on teenagers’ mental health? Write an essay that argues your viewpoint on this topic. Support your claim with reasons and evidence.

Which source would be the most reliable to use for research of the prompt?

an article from a .com website
an article from a .net website
an article from a .gov website
an article from a .org website


I will give brainliest for the correct answer!!

Answers

Answer:

an article from a .gov website

You inherit $10,000 and decide to invest the money in mutual funds for your 5 year old daughter's
future college expenses. After 6 years pass you decide to check on the value of your investment. You
find the balance after 6 years to be 18,000.
a) What is the growth rate in these 6 years for your investment. Round to the nearest thousandth.
b) Write an explicit equation for your investment.
c) Assuming your investment continues to grow at this rate, what is the value in 12 years?

Answers

Answer:

Thats confusing lol

Step-by-step explanation:

sprry

What's the surface area for this?​

Answers

Answer:

382

Step-by-step explanation:

Surface area = 2(7 × 8) + 2(7 × 9) + 2(8 × 9)

                      = 382

Answer:

SA=382

Steps:

SA=2(7×8)+2(7×9)+2(8×9)

SA=2×56+2×63+2×72

SA=112+126+144

SA=382

Points and Brainliest Giveaway!! (Btw, you still have to answer the question)

If x = 4, and y = 8.
3x + 2y = 7x + 4y

Is the expression true?

Answers

Answer:

Step-by-step explanation:

3(4)+2(8)=7(4)+4(8)

12+16=28+32

28=60

Therefore, the expression is not true because they are not equal to each other

Please mark answer as brainliest

Answer:

3(4) + 2(8) = 7(4)+ 4(8)

12+16= 28+32

28 =60

No, the expression is not true

What is the area of a square if the half of the diagonal is 6

Answers

Answer:

72

Step-by-step explanation:

Cut the square into two equal triangles along the diagonal

You know that half of the diagonal is 6 so multiply that by 2 to get 12 which is the hypotenuse of your triangles

Then use the pythagorean theorem to solve for the sides

a^2 + b^2 = 12^2

a^2 + b^2 = 144

Since the original shape was a square both sides a and b are equal

a^2 = b^2

a^2 + a^2 = 144

2a^2 = 144

a^2 = 144/2

a^2 = 72

a = [tex]\sqrt{72}[/tex]

Since a = b then a = [tex]\sqrt{72}[/tex] =b

Multiply both sides a and b to get the area of the square

[tex]\sqrt{72}[/tex] * [tex]\sqrt{72}[/tex] = 72

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ=36.6. You would like to be 90% confident that your esimate is within 4 of the true population mean. How large of a sample size is required?

Answers

Answer:

Hmmmmm

Step-by-step explanation:

Emily completely fills a container with 6 cubes. Each cube has an edge length of
3 centimeters. The container is in the shape of a right rectangular prism. What is the
volume of the container in cubic centimeters?

Answers

If Emily has 6 cubes of 3 x 3 x 3, or 27 cubic cms. each, and these completely fill the prism, then the prism must be:
27 x 6, or 162 cms.^3 total volume. ☺☺☺☺

Given that ABCD ~ EFGH, find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

Recall: Ratio of the corresponding side lengths of two similar figures are equal.

Therefore,

EF/AB = GH/CD

6/4 = 12/x

Cross multiply

6*x = 12*4

6x = 48

Divide both sides by 6

6x/6 = 48/6

x = 8

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