The volume of a box is 1800 cubic Inches. If the length of the box is 10 inches and its width is 3 inches more than its height, find the width and
height of the box.

Answers

Answer 1

Answer:

The width of the box is 15 inches and its height is 12 inches

Step-by-step explanation:

Equations

The volume of a box of width W, height H, and length L is given by:

V=W*L*H

We know

L=10 inches

W=H+3

V=1800 cubic meters

Substituting:

1800=(H+3)*10*H

Operating and swapping sides:

[tex]10H^2+30H=1800[/tex]

Dividing by 10:

[tex]H^2+3H=180[/tex]

Rearranging:

[tex]H^2+3H-180=0[/tex]

Factoring:

(H-12)(H+15)=0

The only positive and valid result is:

H=12 inches

Thus,

W=H+3=12+3=15 inches

The width of the box is 15 inches and its height is 12 inches


Related Questions

Josh emptied his piggy bank and made n stacks of 25 nickels. He already had 37 nickels. Now, he has 187 nickels. How many stacks of nickels did Josh make in all?

Answers

Answer:

249

Step-by-step explanation:

25+37+187=249

Can someone please help me? (You will get brainlest and 18 points)

Answers

Answer:

4 and, 5 conclusion, 6 conjecture, 8 Conditional statement, 10 hypotheses,

11 contrapositive, 12 counterexample,

the rest i dont know srry

A city has 9,322 recycle bins. The city glves half of the recycle bins to its citizens. The rest of the recycle bins are divided into 28 equal groups for city parks. How many recycle blns are left over?​

Answers

Answer:

24 trash cans remaining.

Step-by-step explanation:

9322 / .5 = 18644

18644/28 groups is 665 r 24

WILL GIVE BRAINLIEST
Starfire wanted to buy a new outfit for the big dance. When she went to the store to purchase the dress, it was tagged $35. How much would Starfire have to pay for tax, if sales tax is 9%?
(Please also show work!)

Answers

Answer:

$3.15

Step-by-step explanation:

For this, "x" is a multiplication symbol

Option 1: 35x1.09=38.15  (the 1.09 is how u calculate tax btw)

then 38.15-35=3.15

OR

A simpler way:

Option 2: 35x9%    (or 35x.09) however u want to put it)

=3.15

What is the slope of the line -3x + 7y = 11

Answers

Answer:3/7
Y-intercept: (0,11/7)

Answer: m= 3/7

Step-by-step explanation: in y=mx+b form this equation is y=3/7 x + 11/7

HELPPP Please!!!!!!!

Answers

Answer:

subtract 140 from 166

Step-by-step explanation:

Find the next three terms of the geometric sequence whose first term is -2 and common ratio equal to -1.

Answers

-2, 2, -2, 2 etc.
Hope this helps :)

PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, MAKE SURE TO SHOW WORK BRO
What is the value of x???

Answers

Answer: x = 5

Step-by-step explanation:

10x and 130 degrees are supplementary, because they are interior angles and the lines are parallel.

10x + 130 = 180

10x = 50

x = 5

Ryan won 123 pieces of
gum playing horseshoes
at the county fair. At
school he gave four to
every student in his math
class. He only has 3
remaining. How many
students are in his class?

Answers

Answer:

30

Step-by-step explanation:

Happy Halloween and hoped this helped!

Answer:

There are 30 students in his math class

Step-by-step explanation:

First you subtract the three from 123 because that three he still has. Then you take the 120 and divide it by four since thats how many pieces he gave each student. You are then left with 30 students.

A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?

Answers

8 tablespoons. hope this helped

the quotient of 17 minus 12 and 2
Find the expression

Answers

Standered form: 2/(17-12)

Answer: 0.4

I hope this helped :)

You create 15 centerpieces for a party in 5 hours.
A. What is the unit rate?


B. How long will it take you to make 42 centerpiece?

Please please help!

Answers

Answer:

Step-by-step explanation:

you create 15 per 5 hours.  or 15 centerpieces/5 hours or 3 centerpieces per hour.  To make 42, if you make 3 per hour, you would divide 42 by 3, getting 14.  It will take 14 hours to make 42 centerpieces.

There are 11900 films on Netflix. 13% of the films are action. How many films are action?

Answers

Answer:

1,547

Step-by-step explanation:

11900*.13 =1547

PLEASE HELP ME ASAP!!!! simplify to create an equivalent expression. 5+7(8r-2) A: 56r+3 B: 56r+9 C: 8r-9 D: 56r-9

Answers

Answer:

56r-9

Step-by-step explanation:

5+7(8r-2)

5+56r-14

56r-9

What value of x makes this equation true (correct)?

12 x - 15 = 6 - 3 x

Answers

Answer:

x=1.4

Step-by-step explanation:

12x-15=6-3x

15x=21

x=21/15

x=1.4

12(1.4)-15=6-3(1.4)

16.8-15=6.4.2

1.8=1.8

Which is the answer to it

Answers

Answer:

um we cant hear the sound part so

Step-by-step explanation:

The width of a rectangle is 3 less than twice the length, x. If the perimeter of the rectangle is 43 feet, find the dimensions.

Answers

Answer:

Step-by-step explanation:

we're given that

[tex]W = 2X - 3\\P = 43\\[/tex]

the perimeter can be defined as

[tex]P = 2X + 2W \\so\\43 = 2X + 2(2X - 3)\\43 = 2X + 4X - 6\\6X = 49\\X = \frac{49}{6}\\ W = 2X - 3\\W = 2(49/6) - 3\\W = 49/3 - 9/3 = \frac{40}{3}[/tex]

The rectangle is

[tex]\frac{49}{6} by \frac{40}{3}[/tex] feet

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement. 6 + (–8) Which statement could describe Ahmed’s movement?

Given the expression

6+(-8)

Let's denote upward movement in the elevator as positive and downward movement as negative.

+6 means that Ahmed rides 6 floors above in the elevator (since +be means upward movement in the elevator)

-8 means that from that 6th floor, he then moves 8 floors downwards in the elevator. In other to determine the floor Ahmed is, we can evaluate the given expression:

= 6+(-8)

Note that -×+ = -, hence the expression becomes;

= 6-8

= -8+6

= -2

This means that Ahmed is 2 floor below or down the elevator.

Answer: He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.

I hope this helps.

The answer ASAP please

Answers

-20/27

Step-by-step explanation:

Multiply the top denominators

-8•5= -40

Multiply the bottom denominators

9•6=54

So 40/54

Now simplify

-40/54 ÷ 2= -20/27

Does this equation have a solution?
3x - 2 ( x + 10 ) = x - 20

Answers

Answer:

the anwser is 3x-2x-20 im notsure if its right

Step-by-step explanation:

Answer: No this equation doesn't have a solution because x =0

Step-by-step explanation:

3x-2(x+10) = x-20

3x -2x-20= x-20

x-20=x-20

x=0

Explain how an enlargement or a reduction In the dimensions of a building would cause a change in the scale factor

Answers

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Hope it helps XD

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

rodrigo needs at least $560 to pay for his spring break expenses,and he is saving $25 from each of his weekly paychecks . how long will it be before he can pay for his trip?

Answers

Answer:

23 weeks

if he is saving 25 each week which is 7 days you multiply 25 x 23 = 575 and he will have a little extra money

Pls help will give brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

204-108/17-9

96/8

12

Please help!!!
Triangle RST will be translated 3 units left and 2 units down. What will the coordinates of the vertices of R'S'T be?

Answers

R = (1,2)
S = (-2,-1)
T = (2,-1)

Let me know if I got wrong

The point J(-2, 3) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, J′?

Answers

Answer:

J' (3, 2)

Step-by-step explanation:

when a point is rotated 90 degrees clockwise, the point goes from (x, y) to (y, -x). You can imagine this rule or come up with it by doing a rotation on a graph, but really it's just a rule you should memorize.

So, apply (x, y) --> (y, -x) to this point:

(-2, 3) --> (3, 2)

J' (3, 2)

Answer:

J' (3, 2)

Step-by-step explanation:

edg 2020

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamal pay?
A. 4.0%
B. 4.1%
C. 4.2%
D. 4.3%

Answers

Answer: b 4.1%

Step-by-step explanation:

B. 4.1%. ...................

Porportionality math

Answers

Step-by-step explanation:

Second option is the answer

Work out the value of z + x
y

Answers

what is the value of z

what is the value of x

what is the value of y

?

x = the number of students in Janelle's math group.
3x + 5 = 23
Solve the equation to determine how many students are in Janelle's group?
X=

Answers

Answer: x = 6 or just 6

Step-by-step explanation: You do the opposite of addition, and subtract +5 and 23 to get 3x = 18, then you would divide 3x and 18 by 3 to get x = 6 or just 6.

Please help! will make brainliest and answer any question in return!!!!




Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer:y = -2/3x + 490

Step-by-step explanation:

2x +3y = 1470  

Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.  

2x + 3y = 1470  

2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides  

3y = 1470 - 2x - Simplify  

3y/3 = 1470/3 - 2x/3 - Divide both sides by 3  

y = -2/3x + 490 - Simplify  

-⅔ is the slope and 490 is the y-intercept

Step-by-step explanation:

Answer:

bknln

Step-by-step explanation:

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