a rectangular piece of metal is 15in longer then it is wide. squares with sides 3in 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 1092in cubed what were the original dimensions of the piece of metal?

Answers

Answer 1

Step-by-step explanation:

Let x equal the width of the box and x + 15 equal the length of the box.  Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6).  These are the length and width of the box respectively.  We also know that the height of the box is 3.  Plugging these into the formula for the volume of a box gives you:

3(x+9)(x-6)=1092

Expanding this out gives:

3x^2+9x-162=1092

Subtract 1092 from both sides to make the quadratic equation equal zero.  Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.

3x^2 +9x-1254 = 0

a = 3       b = 9        c = -1254

I hope this helps :)


Related Questions

Two men are trying to carry a wooden pole. if one of them is weaker than other, how can they carry the pole hence making small load for weak man?​

Answers

the strong man carries the load from the middle, and the week man is at the end

PLS HELP, I'LL GIVE YOU NITRO ON DISC0RD!!! Jose ran a concession stand last Saturday and made $79.80 from selling a total of 42 hot dogs and hamburgers. Each hot dog sold for $1.50 and each hamburger sold for $2.70. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?

Answers

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

Find the x-intercept of the graph of the equation y = -2.65x + 25.
What does the x-intercept mean in terms of the situation?

Answers

Answer:

x=9.4

Step-by-step explanation:

x intercept is the point where the graph crosses the x axis and y always =0

-2.65x+25=0

-2.65x=-25

x=-25/-2.65

x=500/53

x=9.4

Which of the following expressions is correct?

|-37| = 37
-|37| = 37
|-37| = -37
-|-37| = 37

Answers

Answer:

The first one is correct

Step-by-step explanation:

Absolute value (Anything that is inside the tabs) will always be positive, even if there is a negative sign in the number. If the number is already positive, it's still positive.

Answer:

the first one

Step-by-step explanation:

the negative sign is in the box

Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)

Answers

Answer:

-14y + 34

Step-by-step explanation:

Step 1: Write out equation

6(5 - 3y) + 4(y + 1)

Step 2: Distribute

30 - 18y + 4y + 4

Step 3: Combine like terms

-14y + 34

Answer:

34-14y

this is simplifed

Step-by-step explanation:

if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
f(g(x))=__x^2+__x+__

Answers

Step-by-step explanation:

f(x) = x² + 2x - 4

g(x) = 3x + 1

f(g(x)) = f(3x + 1)

f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4

= 9x² + 6x + 1 + 6x + 2 - 4

= 9x² + 12x -1

what is the equation represented​

Answers

Answer:

y=-8x-6, y=-4x, y=-2x+3, x=6

Step-by-step explanation:

y=mx+b

use that formula to make you're equations but remember m represents slope and b what is going up by

algebra 1, i don’t understand step 2

Answers

do u have the books name ?

A = bh; solve for h
h =

Answers

Answer:

The value of h is

h = A/b.

Which value is greater:
A) 0.66 or 5/8


A

B

Answers

B bbbbbbbb bbbbb. Bbbbbbb

6. The amount of time it took four soccer players to run from one goal line to the other is as follows:

Player #1 - 10.4 seconds

Player #2 - 10.1 seconds

Player #3 - 9.9 seconds

Player #4 - 9.4 seconds.

If the data was only accurate to the ones place, which soccer player's time would be different from the others?

A Player #1

B Player #3

C Player #2

D Player #4

Answers

Given:

The amount of time it took four soccer players to run from one goal line to the other is:

Player #1 - 10.4 seconds

Player #2 - 10.1 seconds

Player #3 - 9.9 seconds

Player #4 - 9.4 seconds

To find:

Soccer player whose time would be different from the others, if the data was only accurate to the ones place.

Solution:

We need to approximate the time to the ones place.

Player #1 - 10.4 seconds = 10 seconds

Player #2 - 10.1 seconds  = 10 seconds

Player #3 - 9.9 seconds  = 10 seconds

Player #4 - 9.4 seconds = 9 seconds

Therefore, the time of players 4 is different from others.

Hence, the correct option is D.

Find the distance between (-8,-2) and (6,-1)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]

Hope I helped!

Best regards! :D

what is (9w)^2 (in other words, to the power of two.)

Answers

Answer:

9w to the power of is 81w

Step-by-step explanation:

What are you looking for for the answer?

15 Points, PLEASE HELP! What expression is equivalent to 8.4x - 7.2y?
1.2(6x + 7y)
1.2(6x - 7y)
1.2(7x + 6y)
1.2(7x - 6y)

Answers

1.2(7x - 6y) is equivalent to 8.4x- 7.2y

Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y

Step-by-step explanation:

I took the test

What made the two equivalent fractions 1/2 and 5/10 have the same value

Answers

Answer:

1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.

Hope this helps!

Multiply the fraction by 5/5 makes them equivalent fraction.

what is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/2 and 5/10

Now, to make fraction equivalent we have to find the factorizing factor.

As, 1/2 x 5/5= 5/10

Hence, multiply the fraction by 5/5 makes them equivalent fraction.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

A. one solution
B. no solution
C. many solutions

Answers

Answer:

one-solution

Step-by-step explanation:

I took the test.

Round 97.081 to the nearest tenth

Answers

Answer:

97, that's the answer.

Answer: 97.1

Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.

Please help me asap i will help i

Answers

Answer:

the measurements must be incorrect because when you solve it, it is obvious that 6x is not a 90 degree angle and 3x is not 45 degrees.

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Ques5) x value is 20 because 3x+6x=180

=>9x=180

=> x=180/9

=> x=20

Ques6) 6x= 6*x which is equal to 6*20=120

Ques7) 3x=3*x which is equal to 3*20=60

This is correct because 120+20=180 which is a straight angle given in the question. Hope this helped, Thank you.

can someone help me i'm having trouble with this

Answers

Answer: it should be D i hope this helped (if it did let me know)

(4x)(3z+y)+2x(3y+2z)=axz +bxy. Determine the values of a, b, and c

Answers

Answer:

a = 16

b = 10

In the equation from the question there's no value that you can determine for c.

Step-by-step explanation:

(4x)(3z+y)+2x(3y+2z)=axz+bxy12xz+4xy+6xy+4xz16xz+10xy

I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.

Answers

Answer:

225 mg remain in Aldi bloodstream

Step-by-step explanation:

150mg of amoxicillin was given daily for 10 days equals 1,500

of the 1500-40% =600mg

600mg divided by  4 days = 225mg still in blood stream

solve this please.
[tex]3(m - 5) + 11 = - 85[/tex]

Answers

Answer:

Bro this some alien hyroglyphics

Step-by-step explanation:

Answer:

m = - 27

Step-by-step explanation:

Given

3(m - 5) + 11 = - 85 ← distribute and simplify left side

3m - 15 + 11 = - 85

3m - 4 = - 85 ( add 4 to both sides )

3m = - 81 ( divide both sides by 3 )

m = - 27

if it is 5:30 pm what time would it be a half and hour later

Answers

Answer:

6 pm if you're saying in half a hour. 7 if you're saying an hour and a half

Step-by-step explanation:

A statistics class with 40 students consists of 30 students with no income, 10 students with small incomes from part-time jobs, and a professor with a very large income that is well deserved. Which is better for describing the income of a typical person in this class: mean or median? Explain.

Answers

The median would be better for describing the income of a typical person in the class because the professor's large salary skews the data to the right while all the students are towards the left and center.

Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation

Answers

Answer:

reflection

Step-by-step explanation:

this is a reflection off y=-x

Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.

Answers

Answer:

The quotient of -27/9 is -3 hope this helps <3

Step-by-step explanation:

9 goes into 27, 3 times, since 27 is negative, it would be -3

Please help due in 10 min

Answers

First one tell me if I am right!

Answer: the first option

The unit price of hot dogs is $0.50/hot dog. How much will 12 hot dogs cost?

Answers

Answer:

Price of 1 hotdog= $0.50

Price of 12 hotdogs=12x$0.50= $6.0

Hope it helps :)

12 hot dogs will cost $6

12*0.5=6

Plzzz help!!!! DUE TODAY!!!!! I AM WILLING TO GIVE BRAINLIEST!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.

Answers

Answer is X equals to 0

Explanation:

5 + x - 12 = 2x - 7

5 + 0 - 12 = 2(0) - 7

5 - 12 = -7

-7 = -7

plz help me with this qustion

Answers

c is not true :))) you’re welcome

Answer:

c

Step-by-step explanation:

a.) 7+7=14 and 19-5=14

b.) 9+9=18 and 11+7=18

c.) 19 and 13+5=18 ✗

d.) 20-12=8 and 4+4+8

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