Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

Answers

Answer 1

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.


Related Questions

Please answer correctly i will give brainliest

Answers

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework

six less than six times a number is 12​

Answers

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

6x-6=12
6(3)-6= 12
18-6=12
12=12
The number is 3

Who ever helps gets barinliest.​

Answers

Answer:

1/8

Step-by-step explanation:

The second option is the answer

Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend

Answers

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S

Answers

Answer:

The answer is point Q

Step-by-step explanation:

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

2. 124 2. 1
tell what theroem you used in each class​

Answers

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

15.69 feet
18.01 feet
27.89 feet
36.72 feet

Answers

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180

Answers

Answer:

The answer is 80 :)

Step-by-step explanation:


What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2

Answers

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Length of LM ( Perpendicular )

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Solve 3[-x + (2 x + 1)] = x - 1.
x = 2

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]3[- x + (2x + 1)] = x - 1[/tex]

[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]

[tex] = > 3[x + 1] = x - 1[/tex]

[tex] = > 3x + 3 = x - 1[/tex]

[tex] = > 3x - x = - 1 - 3[/tex]

[tex] = > 2x = - 4[/tex]

[tex] = > x = \frac{ - 4}{2} = - 2[/tex]

A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special

Answers

Answer:

Step-by-step explanation:

a square is a special rectangle and a parallelogram , and a rhombus

Find the solution of these two equations. Y=1/5x-7 and y=-x-1

Answers

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.

Answers

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

aight man plz help me lol

Answers

The answer is 10 2/11. I hope this helps!

Please help! I'll mark brainliest!! :)

Answers

Answer:

Area =  201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Step-by-step explanation:

First convert the mixed numbers into improper fractions or even decimal form  so it is easier to operate with them:

Base = 11  1/2 yards = 23/2 yards = 11.5 yards

Height = 17 1/2 yards =  35/2 yards = 17.5 yards

Use the formula for the area of a parallelogram:

Area = Base x Height

which in our case give:

Area = 23/2 x 35/2 = 805/4 yard^2 = 201  1/4 yard^2

Or in decimal form: 201.25 yard^2

What is an angle that is complementary to DGE?

(Please hell I’ll reward)

Answers

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?

Answers

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4

a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1

Answers

a does
x is going up 2
y is going up 1
this means the slope is 1/2
the y intercept is 1 because when x = 0 y = 1

Answer:

a

Step-by-step explanation:

if it’s wrong i’ll change it when i’m done with this quiz

Distance around an unmarked circle can be measured (always, sometimes, never)

Answers

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit

Answers

Answer:

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Step-by-step explanation:

Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).

In this question, we have:

[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]

Shifting 1 unit to the left:

[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]

[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]

[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]

[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles

Answers

Answer: B

Step-by-step explanation:

It will be B-70 because 14x5=70 hope this helps

At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?

Answers

Answer:

12

Step-by-step explanation:

2-cones

3-ice cream flavors

2-sprinkles

2 x 3 x 2 = 12

plz mark brainliest :)

A dripping faucet leaks 40 gallons of water per day.

How many gallons does the faucet leak in 2 days.

Answers

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Two less than the quotient of a number and 3 is 16. What is the number? Let n be the unknown number

Answers

Answer:

13

Step-by-step explanation:

16/1 -3/1 = 16-3

= 13answer is unknow no.

The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players

Answers

Answer:

0

Step-by-step explanation:

Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15​

Answers

Answer:

b.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

What will be the 50th term in the sequence defined by an=11+5(n-1)

Answers

Answer:

234

Step-by-step explanation:

Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.


Look at picture.


Approximate how many times greater Saturn's mass is than Mercury's.

A) 200,000
B) 2,000,000
C) 2,000
D) 20,000

Answers

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

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