A box's volume is equal to 600 cubic
inches. If the width of the box is 7
inches less than the length, and the
height is 10 inches less than the length,
find the dimensions of the box.

Answers

Answer 1

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

A Box's Volume Is Equal To 600 Cubicinches. If The Width Of The Box Is 7inches Less Than The Length,

Related Questions

What is 5261.436 rounded to the nearest thousand?

Answers

Answer:

5261.436 would be the answer

The answer would be 5,000 for rounding to the nearest THOUSAND.

Hope this helped. :)

Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?

A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5

Answers

Answer:

B : y = 0.1x + 5

Step-by-step explanation:

using the y = mx + b equation

b is the intercept on the y axis ( x = 0)

m is the slope of the line.

From the graph we can see that the intercept is (0,5), therefore b = 5;

To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)

m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1

m = 0.1

therefore in y = mx + b

y = 0.1x + 5

You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delivery?

Answers

Answer:

199.50

Step-by-step explanation:

Given the 3.50 payment for every case delivered to a store:

This means that you will earn 199.50 for delivering 57 cases, because:

57 cases × 3.50 each case = 199.50

Therefore, you will be paid 199.50 for that delivery.

You would multiply 57x3.5 and your answer is 199.50

Anybody know the answer?????

Answers

Which one do you need

the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm

Answers

Answer:

40π cm2/ min.

Step-by-step explanation:

First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Step-by-step explanation

arrange the cards into three pairs of the same total.
-7,-5,-3,3,1,-1

Answers

the answer is ( -7; 3) (-5; 1) ( -3;-1)

ok done. Thank to me :>

Find a number such that 20 less than twice the number is 50.

Answers

140 because 70 (the half) minus 20 is 50

The required simplified solution of the given expression is 35.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35

Thus, the required simplified solution of the given expression is 35.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Michael is making cookies. Each batch uses 3 cups of flour. He plans to use less than 41 cups of flour for cookies so that he has enough left to make muffins. He has already used 5 cups of flour for cookies.
How many more batches of cookies can Michael make?
1. Fewer than 15.3333...
2. Greater than 15.3333...
3. Fewer than 12
4. Greater than 12​

Answers

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17​

Answers

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The LCM of 3 and 18 is 18.

Could somebody help n explain pls thx

Answers

Answer:

lines are perpendicular

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form and extract the slope

3x - 2y = - 6 ( subtract 3x from both sides )

- 2y = - 3x - 6 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

----------------------------------

4x + 6y = 2 ( subtract 4x from both sides )

6y = - 4x + 2 ( divide through by 6 )

y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

--------------------------------------

[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel

[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1

Thus the lines are perpendicular to each other

i don’t understand! help pleaze how do i find the side lengths??

Answers

Answer:

A

Step-by-step explanation:

cos x  = adjacent side / hypotenuse

cos 60 = 9√2/2  / x

1/2 = 9√2/2  / x

x = 9√2

tan x = opposite side / adjacent side

tan 60 = y /  9√2/2

√3 = 2y / 9√2

9√6 = 2y

y = 9√6/2

Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

?

Step-by-step explanation:

i did this problem before.......hmmmmmmmmmmmmm...

[tex]\sqrt{x} +1=3\\[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

HELPPPPPPPPPPPPPPPPPP MEEEEEEEE

Answers

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

Solve for x on number 13

Answers

Answer:

x = -4

Step-by-step explanation:

x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°

x + 63 + x + 125 = 180°

2x  + 188 = 180

2x = -8

x = -4

-Chetan K

Answer:

x=-4

Step-by-step explanation:

(x+125)+(x+63)=180

125+63=188

180-188= -8

-8/2= -4

What is the value of b?

Answers

Answer:

C. 42

Step-by-step explanation:

9. Mr. Glover wrote the problem, "Find 16% of 50" on the whiteboard and asked students to
create a proportion or equation to solve the problem. Circle the name of anyone who made a true
statement.
Tur
Tur
DOVAN

Answers

The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.

The percentage of a given number is the fraction of that number required for consideration.

To determine the required fraction of the given number in the question, express the given statement in mathematical terms.

So that:

16% of 50 = [tex]\frac{16}{100}[/tex] x 50

                 = 0.16 * 50

                 = 8

Thus 16% of 50 is 8.

Considering the steps required to solve the question and each statement of students, then Maxine is correct.

NB: The required image to the statement is attached to this answer.

For more on percentage of numbers, visit: https://brainly.com/question/11570843

Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?

Answers

Answer:

he would end up with 25 good games left

Answer: the answer is 31!

Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!

10p^8 divided by 5p^4

Answers

Answer:

[tex]\sf \cfrac{10p^8}{5p^4}[/tex]

Factor: [tex]\sf 10= 5\times 2[/tex]

[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]

Cancel common factor:- 5

[tex]\sf \cfrac{2p^8}{p^4}[/tex]

Use the Quotient Rule:

[tex]\sf 8-4=4[/tex]

[tex]\boxed{\sf 2p^4}[/tex]

What is the nearest integer of cube root -12

Answers

Answer:

the cube root of -12 is -2.28942849 which is around -2

Step-by-step explanation:

HELP?!?!!! pleaseeee

Answers

Answer:

option 1. 3 juniors and 5 seniors

option 2. 4 juniors and 2 seniors

Step-by-step explanation:

3 + 5 = 8

8 is less than 9 and more than 4

4 + 2 = 6

6 is less than 9 and more than 4

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

i think its 150

Step-by-step explanation:

The correct answer is 75 pages.
Divide 250 by 400 and get 1.6 which is how long it takes her to read 1 page. The divide 1.6 by 120 (2 hours converted to minutes) and get 75.

Write the equation of the line described below in point-slope form.

Answers

Answer:

y-1=2(x-3)

Step-by-step explanation:

Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).

[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]

change this time to 12-hour clock what is anwer

Answers

Answer:

2.Military Time 0327 is: 03:27 AM using 12-hour clock notation, 03:27 using 24-hour clock notation.

3.Military Time 0048 is: 12:48 AM using 12-hour clock notation, 00:48 using 24-hour clock notation.

5.Military Time 0600 is: 06:00 AM using 12-hour clock notation, 06:00 using 24-hour clock notation.

6.Converting 24-Hour Time to 12-Hour Time. Add 12 to the first hour of the day and include “AM.” In 24-hour time, midnight is signified as 00:00. So, for midnight hour, add 12 and the signifier “AM” to convert to 12-hour time.

1.05:29 PM using 12-hour clock notation, 17:29 using 24-hour clock notation.

4.11:58 PM using 12-hour clock notation, 23:58 using 24-hour clock notation.

7.09:44 PM using 12-hour clock notation, 21:44 using 24-hour clock notation.

8.10:48 PM using 12-hour clock notation, 22:48 using 24-hour clock notation.

9.11:55 PM using 12-hour clock notation, 23:55 using 24-hour clock notation

(I've put the question numbers according to how you've asked it in the question)

Hope you've understood ☺️

Someone help plz and thanks

Answers

Answer:

Step-by-step explanation:

Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41

Probability of a chosen student be Physics or Chemistry or both =

[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]

how does adding with decimals cpmpare to adding whole number

Answers

Answer:

Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.

Step-by-step explanation:

is 2(x+8)-3(y-7) linear or non linear?

Answers

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

I need help please..​

Answers

Answer:

y=-1/2x+1

Step-by-step explanation:

the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b

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