The Simpsons rented a trailer that was 8 feet long and 5 feet wide. If they load the trailer with 1-by-1-by-1-foot boxes to a height of 3 feet, how many boxes can be loaded onto the trailer?​

Answers

Answer 1

The total number of boxes that can be loaded onto the trailer is 27.

Here we have to determine the maximum number of boxes.

That can be stored in a locker by the volume of one box.

From the given information volume of the box is Vb and the volume f the locker is Vl.

What is the volume of the box?

[tex]Volume=Length\times width\times height[/tex]

Therefore we get,

[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]

The volume of the locker is

[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]

Therefore the number of the maximum boxes are

[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]

Therefore, The total number of boxes can be loaded onto the trailer are 27.

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Related Questions

Can a prism have the same volume and surface area EXPLAIN PLEASE URGENTLY ANSWER PLEASE

Answers

Answer:

Two figures can have the same volume but different surface areas. For example: A rectangular prism with side lengths of 1 cm, 2 cm, and 2 cm has a volume of 4 cu cm and a surface area of 16 sq cm. A rectangular prism with side lengths of 1 cm, 1 cm, and 4 cm has the same volume but a surface area of 18 sq cm.

6a[tex]6a^{2} + 2a (4a +3b) - 12ab[/tex]

Answers

Answer:

ASSUMING IT IS SIMPLIFICATION.....

[tex]2a(7a - 3b)[/tex]

Step-by-step explanation:

[tex] {6a}^{2} + 2a(4a + 3b) - 12ab[/tex]

Expand the bracket.

[tex] {6a}^{2} + {8a}^{2} + 6ab - 12ab[/tex]

[tex] {14a}^{2} - 6ab[/tex]

Take the common factors out.

[tex]2a(7a - 3b)[/tex]

bru help please.... like r n

Answers

Answer: basically a rising straight line that goes through the origin

Step-by-step explanation:

STATE WHETHER THE WORKING SHOWN IN THE PICTURE BELOW IS TRUE OR FALSE.

Answers

Answer:

True

Step-by-step explanation:

i dont see a error-

Are the circles tangent, concentric, or congruent?

Answers

Congruent maybe because r1=r2
Congruent because of the lines and it has the same size

Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y < x -2
1
y <--2-5
22

Answers

Answer:

The answer is definitely C

Step-by-step explanation:

Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.

ur wlcm :)

correct me if im wrong

brainliest please?

Is √50 greater or less then 7.8

Answers

Answer:

Less than.

square root 50 = 7.07

7.8 = 7.8

Answer:

Squareroot 50=7.07 Approx

So [tex]\sqrt50[/tex] is less than 7.8

Step-by-step explanation:

Pls give Brainliest.

Must complete all parts below
a) Draw the graph of the function f(x)=2^x+3
b) Translate the graph down 4 units and draw the new graph.
c) What is the equation of the new graph?
Answer: **Both functions must be present on your graph. Must have at least two specific points per function!

Answers

a. The graph is attached with the answer.

b. Translated graph is also attached with the answer.

c. The equation of the new graph will  be (2x²+3)-4

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the quadratic equation we will get a curved parabola.

a. The graph of the function f(x)=(2x²+3) is attached with the answer. b. The translated graph of the function is also attached with the answer.

If the function is reduced by the constant value 4 then the equation of the function will become:-

F(x)= (2x²+3)-4

Hence the equation of the new graph will  be (2x²+3)-4

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27.
The mass of a block of ice decreases from 80kg to 64kg.
Calculate the percentage decrease.

Answers

A percentage is a way to describe a part of a whole. The percentage decrease will be 20%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage change is calculated as,

Percentage Change= (Initial Value - Final value)/Initial Value × 100%

Given initially the mass is 80kg, while the final mass is 64 kg, therefore, the percentage change can be calculated as,

Percentage change = (80-64)/80 × 100% = 20%

Hence, the percentage decrease will be 20%.

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which fraction is equal to 5

Answers

5/1 mark as brainliest

Please help this assignment is due in 20 mins!

Jayvalyn is buying milk. She needs 4 liters. A​ half-liter of milk costs ​$2.86. A ​200-milliliter container of milk costs ​$1.19. What should Jayvalyn buy so she gets 4 liters at the lowest​ price?

Answers

Answer:

the half liter

Step-by-step explanation:

200 mL :

4,000 mL in 4 liters.

4,000/200=20

20x1.19=23.8

half liter :

4x2=8

8x2.86=22.88

The half liter go go go

What is the slope and y-intercept of the given equation?
y = 2/3x + 5

Answers

Answer:

The slope is 2/3x and the y-intercept is 5.

Find the solution set of the inequality: 8x+2 > 34
x > or < or >= or =

Answers

Inequality are expressions that are not separated by an equal sign. The solution to the given system of equation is x > 4

Inequality function

Inequality are expressions that are not separated by an equal sign.

Given the inequality

8x+2 > 34

Subtract 2 from both sides

8x + 2 - 2 > 34 - 2

8x > 32

Divide both sides by 8

8x/8 = 32/8
x > 4

Hence the solution to the given system of equation is x > 4

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casey sight the top of an 84 foot tall lighthouse at an angle of elevation of 58. if casey is 6 feet tall how far is he standing from the base of the lighthouse

Answers

Do u have a pic pls that might help
Answer: Casey is standing 52.5 feet from the
lighthouse
Step-by-step explanation:
A right angle triangle is formed. The height of
the lighthouse represents the opposite side
of the right angle triangle. The distance, h
from the lighthouse to where Casey is
standing represents the adjacent side of the
right angle triangle. Casey's line of sight
along the angle of elevation represents the
hypotenuse.
To determine h, we would apply
the tangent trigonometric ratio.
Tan 0, =opposite side/adjacent side.
Therefore,
Tan 58 = 84/h
h = 84/tan 58 = 84/1.6
h= 52.5 feet

can anyone help me with this slope-length activity? whoever answers will get 5 stars and brainliest, i know its a bit of work so I'd really appreciate it, I've been rlly struggling with this unit. this is 10th grade geometry

Answers

Answer:

Step-by-step explanation:

Benny has 8.5 cups of milks. one batch of his recipe for
cookies calls for 1.25 cups of milks.
what is the maximum number of batches benny can bake?
[select]
will he have milk leftover? (select)
if yes, how many cups? [select]

Answers

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

A line passes through two sides of a rectangle.
12
34
56
78
The measure of Z1 is 50 degrees. What is the measure of 26?
O 50 degrees
80 degrees
130 degrees
O 150 degrees

Answers

Answer:

34

80 degrees

Step-by-step explanation:

I RELLAY HOPES THIS HELPS YOU PLEASE

1. The mark up price of a pair of shoes which costs $125. 00 is 8. 35%. A)What is the final price? If the tax is 6 1/2% How much will be paid for that pair of shoes?

Answers

Answer:

Step-by-step explanation:

Remark

The wholesale price of the shoes is 125 dollars

The retailer marks it uu to 35% more to the wholesale price.

So the price is now 125 + 35% * 125 dollars

That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75

The government wants its cut of 6.5% of the selling price

So the final price is 168.75 + 168.75 * 6.5/100

The final price is 168.75 + 10.97 = 179.72

Answer: A customer pays 179.72 dollars.

100 pointss pls help!!!! characteristics of a quadratic function worksheet

Answers

Answer:

do u have the full sheet?????

Which expression represents the area of the base of the pyramid? x squared startroot 3 endroot units2 3 x squared startroot 3 endroot units2 4 x squared startroot 3 endroot units2 6 x squared startroot 3 endroot units2

Answers

The area of pyramid base with a dimension of x + 2 and x - 1 is given as x² + x - 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the base of the pyramid has a dimension of x + 2 and x - 1, hence:

Area of pyramid base = (x + 2)(x - 1) = x² + x - 2

The area of pyramid base with a dimension of x + 2 and x - 1 is given as x² + x - 2

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Answer:

D)6 x squared StartRoot 3 EndRoot units2

Step-by-step explanation: on edge

alot of points and BRAINLIEST if possible. a. 1-1000 in roman numeral. b. fastest way of multiplication​

Answers

Step-by-step explanation:

number 1 to 100 is in the table bove

use I =1 V=5 x=10 l=50 c=100 d=500 m =1000

for fast multiplication

The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area

Answers

Answer:

Step-by-step explanation:

Givens

Length = a

Width = a + 3

Formulas

P = 2L + 2w

Area = L * w

Solution

Perimeter

P = 2L +  2w

P = 2*a + 2(a + 3)             Remove the Brackets

p = 2a + 2a + 6                Combine

P = 4a + 6

Area

Area = L * w

Area = a (a + 3)

Area = a^2 + 3a

a square pyramid measuring 7 in along each edge of the base with a height of 12 in​

Answers

Answer:

196 in^3

Step-by-step explanation:

Volume of pyramid = 1/3 base * height

                = 1/3  (7x7) (12) = 196  in^3

4.5x67=
6/5x78=?
20-100=+3,000

Answers

4.5x67=301.7
6/5x78=63.6
20-100+3000=2920

How much of your lawn can you mow with
one gallon of gas, if you maintain the rate
of ⅕ gallon of gas per ⅛ of a lawn?

Answers

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

Alfonso wants to buy a $500 Series EE savings bond. How
much will he pay for the bond??? Helpppppppp pleaseeeee

Answers

Answer:

500

Step-by-step explanation:

I had the same question this week trust

Giving 20 Brainly points pls solve

Answers

The volume of the cylinder is 254,571.43cm³.

The surface area of the cylinder is 22,628.57 cm².

What is the volume of the cylinder?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

π = 22/7r = radius = diameter / 2 = 60/2 = 30cm

22/7 x (30²) x 90 = 254,571.43cm³

Surface area = 2πrh + 2πr²

(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)

16, 971.43 + 5657.14 = 22,628.57 cm²

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Jada's property has a shape of a parallelogram with the
dimensions shown. If the perimeter of the property is 300
feet, what is the value of x?
x + 75
X +45


Answers

(X+75)+(X+45)

2x+120=300
-120 -120
2x=180
/2 /2
X=90


12 ft
10 ft
Enter the volume of the cylinder, in cubic feet. Round your answer to the nearest hundredth.



Answers

Answer:

942.48

Step-by-step explanation:

hope this helps

Can a right triangle have the side lengths 4 mm, 13 mm, and 10 mm?

Justify your reasoning.

Answers

Answer: No

Step-by-Step Explanation:

Using Pythagoras Theorem,
Hypotenuse^2 = 1st Side^2 + 2nd Side^2

Consider the longest number, ie. 13mm as the Hypotenuse.

=> 13^2 = 4^2 + 10^2
=> 169 = 116
LHS is not Equal to RHS

Therefore, this denies the Pythagoras Theorem. Hence, a Right triangle cannot have these side lengths.

Answer:

No, because the given values do not produce a correct equation when plugged into the Pythagorean Theorem.

Step-by-step explanation:

To solve this question, we can use the Pythagorean Theorem. (Also called Pythagoras Theorem)

The Pythagorean Theorem is true for ALL right triangles, meaning that if the side lengths don't work for it, the given triangle can not be a right triangle.

The theorem simply states that the sum of the squares of the two legs must add up to the square of the hypotenuse.

Note that the hypotenuse of a triangle is the side opposite to the right angle.

The Pythagorean Theorem can be easily written as the following expression:

a^2+b^2=c^2

This is where a and b are the legs and c is the hypotenuse.

We can plug our given values in to see if it's correct.

If it is a right triangle, the longest side will always be the hypotenuse, so we can safely set c as 13.

4^2+10^2=13^2

Simplify to see if it's true

16+100=169

116≠169

Therefore, a right triangle can not have these given side lengths.

Hope that helps, please let me know if you have any further questions!

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