A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?

Answers

Answer 1

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

Answer 2

284 boxes in the shape of the cubes can be fitted in the truck.

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                   = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                              = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = [tex]\frac{960}{3.375}[/tex]

x = 284.44

x ≈ 284

     Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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Related Questions

Find the number that makes the ratio equivalent to 1:8.
7:__

Answers

Answer:

56

Step-by-step explanation:

1:8= 7:?

1*?=7

/1   /1

1*7=7

8*7=56

1:8 = 7:56

Answer:

7:56

Step-by-step explanation:

1:8

we need to turn the one into seven. Turn the ratio 1:8 into the fraction 1/8.

multiply by 7/7 to turn the one into seven and 8 into 56

7/56 can now be turned into ratio 7:56. You could omit the turning of the ratio into the fraction at the beginning, but I find it makes it simpler.

Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.

Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.



Answers

Answer:

the answer is 80 cubic cm.

Step-by-step explanation:

it is simply height X width so 20 X 4= 80 meaning the answer is 80 cm

Can somebody tell me what's 43 divided by 1032 in long division? (Step by step) Or send a picture please

Answers

Answer:

24

Step-by-step explanat

Divide both the numerator and denominator by the GCD

1032 ÷ 43

43 ÷ 43

Reduced fraction:

24

1

Therefore, 1032/43 simplified to lowest terms is 24/1.

I need some help with these problems

Answers

Answer:

calculate by yourself

Step-by-step explanation:

use sin theorem

1.

[tex] \frac{s}{ \sin(60) } = \frac{12}{ \sin(30) } [/tex]

2.

[tex] \frac{s}{ \sin(90) } = \frac{4}{ \sin(30) } [/tex]

3.

[tex] \frac{s}{ \sin(60) } = \frac{10}{ \sin(90) } [/tex]

What is the median and mean of 18,15, 11, 3, 8, 4, 13, 12, 3, 18

Answers

wlgptmdgns33wlgptmdgns33

hi can anyone solve and give a explaination plz? its for a friend

Answers

6.75

-2.25

----------

4.50

-2.25

----------

2.25

-2.25

----------

0.00

you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)

Answer:
3 games.

Explanation:
$2.50 is a one time cost so we want to subtract that from $9.25 to see how many games we can play. This leaves us with $6.75.
Next, we divide $6.75 / $2.25 = 3.
This means the total amount of games one can play is 3.

a rectangle has an area of 25 in squared. itis dilated by a scale factor of 4. what is the area of the new image ?

Answers

answer is 100 because 25 4 times = 100

Need help with this assignment!

Answers

Answer:

x=3

Mark me if I helped you❤️

When we are given a linear function, how is one way we can graph it

Answers

By placing the coordinates in the right place

Help!!!!!!!!!!!!!!!!!!

Answers

Answer:

y > 0

Step-by-step explanation:

3y - 5x = 15 slope intercept form

Answers

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

Simplify numbers with units 1.

Answers

Answer:

1. 1 min : 2 min

2. 1 min : 4 min

3. 1 : 5

4. 1 : 2

5. 1 hr : 4 hrs

6. 7 p : 10 p

7. 5 : 2 : 3

8. 1 : 3

9. 3 : 5

Step-by-step explanation:

break it down to the lowest, which means to keep dividing it till it can't anymore.

hope that helps

A 1.5 m tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same time, the tower's shadow is 90 m
long. How tall is the Eiffel Tower? Show your work.

Answers

270m, Since .5 is a third of the women’s height the 90m of the Eiffel Tower you multiply by 3 to get the original height

pleassee if you help i will mark you BRAINLIST

A store pays $85 for a table. The markup is 90%. What is the selling price?

What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?

Answers

Answer:

1. $161.50

2. $68.04

Step-by-step explanation:

solve 3x+ k= c for x.

Answers

The value of variable x in the equation is x = c - k / 3

How to make a variable subject of the formula?

3x+ k = c

let's find x or make it the subject of the formula,

3x + k = c

subtract k from both sides of the equation

3x + k - k = c - k

3x = c - k

divide both sides by 3

3x / 3 = c - k / 3

Therefore,

x = c - k / 3

learn more on variables here: https://brainly.com/question/10730100

#SPJ1

I need help pleases thank you.​

Answers

Answer:

C. x < -2.

good luck, i hope this helps :)

Solve:
log2 (x + 5) = 3

Answers

Answer:

simplified is -2

Step-by-step explanation:

......

Answer:

First one is 2^5 = 3x+5

Second is x = 2

Third one is x^3 = 64

last one is x = 4

PLEASE HELP ME 9(6j + 7 + 2j)

Answers

Answer:

72j + 63

Step-by-step explanation:

explaining
collect the terms
9(8j+7)
Distribute through the parentheses
72j+63

A rectangle is 15 cm wide and 18 cm long. If both dimensions are
decreased by the same amount, the area of the new rectangle formed is
116 cm less than the area of the original. Find the dimensions of the
new rectangle

Answers

Answer:

not 100percent sure but found this online 11 cm x 14 cm

Step-by-step explanation:

PLEASE HELP! WILL ADD BRAINLIEST!!! SHOW YOUR WORK!!!!


Polly’s room is a rectangle. It has a width represented by the expression 4x – 2 and a length represented by the expression
2x – 5. If the room has a perimeter of 73 feet, find the area of Polly’s room.

Answers

Answer: 80

Step-by-step explanation: A=LxW.

4x-2=-8

2x-5=-10

-10x-8=80

Kayla bought 8 hot dogs and hamburgers for her and her friends. Hot dogs cost $1.50 and hamburgers cost $1.75. If she spent a total of $13.25, how many hot dogs did she buy?

Answers

Answer:

5 hamburgers and 3 hot dogs

Step-by-step explanation:

D = number of hot dogs

H = number of hamburgers

D + H = 8    then  D = 8 - H

1.50D + 1.75H = 13.25

substitute for D

1.50(8-H) + 1.75H = 13.25

12-1.50H + 1.75H = 13.25

subtract 12 from each side

-1.50H + 1.75H = 1.25

0.25H = 1.25

divide both sides by 0.25

H = 5

D = 8-5

D = 3

10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)


The area of the figure is
un?

Answers

75 units squared. separate the shapes into a rectangle and triangle, find the area of each, and add together

What does the symbol 7NS2 represents

Answers

Answer:

7. NS. A. 2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

Step-by-step explanation:

have a nice day

Which of the following statements about XY and XZ is true?
2
6
8
X(1, -1)
Y(8, -2)
4
Z(-5.-5)
00
do
10
12
14

Answers

Answer:

[tex]\boxed{\textsf{ The correct option is \textbf{Option (D)} .}}[/tex]

Step-by-step explanation:

For complete solution kindly refer to the attachment .

Related Information :-

Midpoint formula :-

The midpoint formula for points (x1,y1) and (x2,y2) is ,

[tex]\boxed{\sf Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg) }[/tex]

Section Formula :-

The coordinate of point dividing the line joining points (x1,y1) and (x2,y2) in ratio m:n is ,

[tex]\boxed{\sf Section\ Formula = \bigg(\dfrac{nx_1+mx_2}{m+n},\dfrac{ny_1+my_2}{m+n}\bigg)}[/tex]

The ratio of the perimeter of a square A and square B is 4:3. The side of square B is 3 m less than the side
of square A. What is the length of the side of square A?
please answer

Answers

Answer:

x = 12

Step-by-step explanation:

x = length of side of square A

'x-3' represents length of side of square B

Perimeter of square A = 4x

Perimeter of square A = 4x - 12

we can set up the following proportion based on ratio of 4:3

4x / 4 = 4x - 12 / 3

cross-multiply:

4(3x) = 4(4x-12)

12x = 16x - 48

-4x = -48

x = 12

please help!!!!!!!!!

Answers

Answer:

64

Step-by-step explanation:

to be honest i just looked it up it thats what i do with my work and i always get it right so...


In a class of 20 students, the number of boys was the number of girls. How many girls were in the class?

Answers

Answer:

10

Step-by-step explanation:

Because if the number of girls is the same as the boys you just devide 20 by 2 and get 10

suppose that the functions s and t are defined for all real numbers x as follows
s(x)=x+6
t(x)=2x^2
write the expressions for (s+t)(x) and (s*t)(x) and evaluate (s-t)(2)

Answers

Answer:

(s+t)(x) = s(x) + t(x)

(s*t)(x) = 2x³ + 4x²

Step-by-step explanation:

(s+t)(x) = s(x) + t(x)

= x + 2 + 2x²

= 2x² + x + 2

(s*t)(x) = s(x) * t(x)

= (x + 2) * 2x²

= 2x³ + 4x²

please give me brainliest if my answer is helpful

Find the next three terms in each geometric sequence.

3. 400,200,100,50, .......

4. 4,-12,36,-108, ........

Answers

Answer:

3) 25, 12.5, 6.25

4) 324, -972, 2916

Step-by-step explanation:

find the product (3x - 5) (3x + 5)​

Answers

Answer:

9x ^2 − 25

 

Explanation:

( a + b ) ( a − b ) = a ^2 − ^b 2

substitute  a  with  3 x  and  b  with 5:

( 3 x + 5 ) ( 3 x − 5 ) = ( 3 x ) 2 −5^ 2 = 9 x ^2 − 25

( 3 x + 5 )( 3 x − 5 ) =  9 x ^2 − 25

Answer:

9x² - 25

Step-by-step explanation:

(a - b)(a + b)= a² - b²

a = 3x   ; b = 5

(3x - 5 )(3x + 5)= (3x)² - 5²

                        = 3²x² - 25

                        = 9x² - 25

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