The volume of a box is 231 cubic inches. The width is 7 inches. The length is 8 inches more than the height. Find the missing dimensions.

Answers

Answer 1

Answer:The missing dimensions are now

width =7inches

length = 11 inches

Height = 3 inches

Step-by-step explanation:

Volume of a box is given as =width x length x height 231 in^3

Given

width = 7 inches

height =represented as h

l = 8 inches more than the height= 8+h

V = w x l x h

231 = 7(8+h)(h)

231=( h² + 8h)7

231/ 7= h²+8h

33= h²+8h

Giving us the quadratic equation

h² + 8h - 33 = 0

=(h-3)(h+11) = 0

h-3= 0

h= 3  also h+11=0, h=-11

h= 3 or -11

Since the value of  height cannot have a negative value,

h = 3inch

l = 8+h  = 8+3 = 11 in

The missing dimensions are now

width =7inches

length = 11 inches

Height = 3 inches


Related Questions

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 453 If s = 2.5 units, what is the value of V?​

Answers

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

one answer question

Answers

Answer:

c is the answer you will get you answer as a rational number (hope I'm not wrong)

Solve the quadratic equation x2+8x−30=0 by completing the square.
What are the solutions to the quadratic equation, if any?

x=4±46−−√
This equation has no real solutions.
x=4±34−−√
x=±46−−√

Answers

Answer:

               [tex]\bold{x=-4\pm\sqrt{46}}[/tex]

Step-by-step explanation:

[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]

The solution to the quadratic equation by completing the square will be

x = -4 ± √46. The correct option is A.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given equation will be solved as below:-

x² + 8x − 30 = 0

Completing the square for the above equation.

( x + 4 )² - 16 - 30 = 0

( x + 4 )² = 46

x + 4 = ±√46

x = ±√46 - 4

Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.

To know more about quadratic equations follow

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You have 5 cells and they double everyday. How many cells will you have after 8 days

Answers

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

[tex]5^{2} = 25[/tex] 200In 8 days you will have 200 cells

juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.

Answers

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

HELP WITH THIS QUESTION!!!

Answers

Answer:

- 1/x^18 y^3

Step-by-step explanation:

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?

Answers

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

                 =5

%decrease=5/311 x 100

Answer:

2

306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2

Pleas help if possible :)

Answers

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

ANSWER M= (0, 5)
To get the midpoint you will need to use the formulas: x1 +x2 divided by 2, and y1 + y2 divided by 2.
X=0 (or undefined) Y=5
ANSWER AB: 6
Square root: (3 - (3))^2 + (5 - 5)^2 to get 6
I’m sorry if that sounds a little complicated

Solve 4/y=2/11 plz i need answer

Answers

y = 22

4/y = 2/11
(Times 4 by 11 and 2 by y)

44 = 2y
(2 divided by 44)
y = 22

Really need help! Click the picture to make it bigger

Answers

Answer: 3/4 i think

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!

is 3+5(9+2n)equal to48+5n

Answers

Answer: No
There is no logical way to get ‘5n’

Find the missing length indicated.
Help pls

Answers

2. none of the answers are correct

Answer:

400

Step-by-step explanation:

Use the right triangle altitude theorem.

All three triangles are similar, so we can write a proportion of corresponding side lengths.

Let y = x - 144

192/144 = y/192

144y = 192 * 192

144y = 36,864

y = 256

x = y + 144 = 256 + 144

x = 400

plz answer.

6-x=13. ​

Answers

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

The value of C has to be Greater than 0.65

Answers

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

i put the wrong screenshot lol this is the last one for 25

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Step-by-step explanation:

thankuuuu,☺

Answer:

D or 8sqrt3

Step-by-step explanation:

the shortest side = the longest divided by 2

the shortest side = 16/2

the shortest side = 8

the longer side = the shortest times sqrt3

the longer side = 8 times sqrt3

the longer side = 8sqrt3

A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?

Answers

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=$127.03

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

3% of $750 is $22.50 so the answer is $772.50.

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50

solve using quadratic equation​

Answers

Answer:

±5 is your answer

Step-by-step explanation:

x²-25=0

comparing above equation with ax²+bx+c

we get

a=1

b=0

c=-25

by using quadratic equation

x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1

=±{√(100)}/2=±(√10²)/2=±10/2=±5

Answer:

5, - 5

Step-by-step explanation:

x^2 = 25

x = ± √25

= ± 5

x = 5, - 5

Each pencil eraser at the store cost $0.67 including tax. If Elijah pays $10.00 and receives $1.96 in change, how many erasers did he buy

ANSWERS:
A. 12
B. 8
C. 6
D. 11​

Answers

Answer:

12 erasers

Step-by-step explanation:

So first you need to take that $10.00 and subtract $1.96, you should get $8.04, after that you need to divide it by $0.67, which should get 12 erasers.

is the expression a^12 x a^4 equivalent to a^8 x a^8

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as

Answers

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3​

Answers

if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.

i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3

Answer:

getting points since this is an old question tehe

Ms.Aluma is 165cm tall. She wants to find the square of her height In meters.
What is square of her height rounded to the nearest hundredth?
Height (m) x height (m) =height squared (m exponent 2)
Enter your answer in the box.

Answers

Answer:

2.72 cm2

Step-by-step explanation:

Height (m) x height (m) =height squared (m exponent 2)

The square of her height in meter² is 2.7225.

How to do decimal multiplication ?

To multiply numbers with decimals one way is to multiply the given numbers without the decimal then in the obtained result put the decimal as many places before from the right as the sum of the digits after the digits which those decimal numbers had.

According to the given question Ms. Aluma is 165cm tall.

We know 165 cm is = (165/100)meter = 1.65meter.

As 1 meter is 100 centimeter.

∴ The square of her height is (1.65)² OR (1.65×1.65)m² which is

= 2.7225 m².

learn more about decimals here :

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Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=

Answers

Answer:

cacacc

Step-by-step explanation:

sorr

Answer:

the answer is 0.1666667

ZPRS and ZSRQ are supplementary angles.
85
Р
R
Q
What is the measure of ZSRQ?
O 5
O 15
O 95
O 105

Answers

Answer: 95

Step-by-step explanation: All supplementary angles always have to equal 180 degrees which means that you have to only do 180-85 and boom- 95- that is ur answer. Plz mark Brainliest:).

There is a 15% discount on all items in a store. You buy a $12 shirt and $45 jeans. What will be your total cost?

Answers

Answer:

The total cost of the shirt and Jean's together with a 15% discount would be $48.45.

Step-by-step explanation:

if you at 12 and 45 you get 57 now if you multiply that by .15 which would be 15% you would get $48.45.

Answer:

$48.45

Step-by-step explanation:

15% of $12= 1.80

15% of $45= 6.75

$12-$1.80= $10.2

$45- $6.75= $38.25

Now, add them both up:

$10.20+ $38.25= 48.45

Answer= $48.45

Hope it helps,

PS- Please mark me as brainliest :)

find compound interest on12600rupees for 2years at10% per annum compounded anually

Answers

Answer:

₹2520

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 12600 × 0.1 × 2 = 2520

I = ₹ 2,520.00

The simple interest accumulated

on a principal of ₹ 12,600.00

at a rate of 10% per year

for 2 years is ₹ 2,520.00.

Find x and y. please help​

Answers

Answer:

option c is the correct one according to me......

You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?

Answers

Answer:

6  Tables

Step-by-step explanation:

100 = 10x + 40

60 = 10x

6 = x

good luck, hope this helps :)

6 tables

100-40=60

each table = 10

60 divided by 10=6

I NEED HELP PLEASEEE!!!!

Answers

Answer:

1/4

Step-by-step explanation:

You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:

1/3 * 3/4

(cross multiply)

3/12

(simplify (divide top and bottom by three))

1/4

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