Janel bought a shelving unit in the shape of a rectangular prism measuring 6 feet by 3 feet by 1 foot. The shelving unit is made up of cubes measuring 1.5 foot by 1.5 foot by 1 foot. How many cubes make up the shelving unit?

Answers

Answer 1

Answer:

8 cubes

Step-by-step explanation:

Given

Prism

Dimension: 6 ft by 3 ft by 1 ft

Cube

Dimension: 1.5 ft by 1.5 ft by 1 ft

Required

The number of cubes in the prism

First, calculate the volume of the prism

[tex]V_1 = 6 * 3 * 1ft^3[/tex]

[tex]V_1 = 18ft^3[/tex]

Next, the volume of the cube

[tex]V_2 =1.5 * 1.5 * 1ft^3[/tex]

[tex]V_2 =2.25ft^3[/tex]

The number of cubes is calculated by dividing V1 by V2

[tex]Cubes = \frac{V_1}{V_2}[/tex]

[tex]Cubes = \frac{18}{2.25}[/tex]

[tex]Cubes = 8[/tex]


Related Questions

pls help asap thankyou​

Answers

Answer:

The slope of the line would be a. 0.

Answer:

im bad at math but i would guess the asnswer is 0.    :)

Step-by-step explanation:

The time is 6o'clock. What are the next two times at which the hour and minute hands will be perpendicular?

Answers

Answer:

The two times are 6:15 and 6:45

Step-by-step explanation:

Given

[tex]Time = 6\ O'\ clock[/tex]

Required

Next two times which the hour and minute hands are perpendicular

For a time to have perpendicular hands, the difference between the hour and minute hands must be 15 minutes.

Having said that:

15 minutes after 6 O' clock is: 6 : 15 (This is perpendicular)

15 minutes after then is 6 : 30 -- This is not perpendicular

15 minutes after then is 6 : 45 -- This is perpendicular

Hence, the two times are: 6:15 and 6:45

What are the steps to solving the equation: -3w+9= -12

Answers

Answer:

   Simplify each side of the equation by removing parentheses and combining like terms.

   Use addition or subtraction to isolate the variable term on one side of the equation.

   Use multiplication or division to solve for the variable.

Step-by-step explanation:

Answer:

Solution

= −7

Step-by-step explanation:

3 + 9 = − 12

3 + 9 − 9 = − 12 − 9

Subtract the numbers

Subtract the numbers

3 = − 21

Divide both sides of the equation by the same term

3 = − 21

3/3 = −21/3

Solution

= −7

While eating dinner, Marian ate 25% of the apple slices she had in her bag. There were 20 apple slices in her bag. How many apple slices did Marian eat?

Answers

Answer:

She ate 5 apple slices

Step-by-step explanation:

25% of 20 is 5.

That means if she ate 5 slices, she ate 25% of the apple slices.

Hope this helped! Please give brainliest if it did help!

Answer:

5

Step-by-step explanation:

25% of 20 is 5

what is the volume of this cone

Answers

Answer:

160/3π

Step-by-step explanation:

π ·r² · h/3

π · 4² · 10/3

π · 16 · 10/3

= 160/3 π

Sarah made $180 for 12 hours of work. At the same rate, how much would he make for 17 hours of work?

Answers

Answer:

1260

Step-by-step explanation:

180 x 2

Solve the inequalities and compare.
oso
a. Solve 2x + 6 < 10.
b. Solve - 2x + 22 < 18.

Answers

Answer:

2

Step-by-step explanation:

1 Subtract 66 from both sides.

2x=10-6

2x=10−6

2 Simplify  10-610−6  to  44.

2x=4

2x=4

3 Divide both sides by 22.

x=\frac{4}{2}

x=  

2

4

​  

 

4 Simplify  \frac{4}{2}  

2

4

​  

  to  22.

x=2

x=2

Done

2x+22=18

We move all terms to the left:

2x+22-(18)=0

We add all the numbers together, and all the variables

2x+4=0

We move all terms containing x to the left, all other terms to the right

2x=-4

x=-4/2

x=-2

The function, f(x) = sec(x), is plotted below.


On a coordinate plane, parabolas repeat. A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.


For which values of x is the limit positive infinity when x approaches the values from the left?


Negative StartFraction 3 pi Over 2 EndFraction

Negative StartFraction pi Over 2 EndFraction

0

StartFraction pi Over 2 EndFraction

StartFraction 3 pi Over 2 EndFraction

Answers

Answer:

OPTION ONE

and

OPTION FOUR

Step-by-step explanation:

100% correct edge

do not pick a and b as its not B !!!!

The value of x is the limit positive infinity when x approaches the values from the left the options one and four is correct.

We have given that,

The function, f(x) = sec(x), is plotted below.

On a coordinate plane, parabolas repeat.

What is the limit?

The limit is a  value that a function (or sequence) approaches as the input (or index) approaches some value.

A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.

We have to determine the value for which values of x is the limit positive infinity when x approaches the values from the left.

from the graph, we have options one and four is correct.

To learn more about the graph visits:

https://brainly.com/question/4025726

#SPJ2

Solve the system of equations:
2x + 3y = 10
x - 2y = -2

(2,1)
(0,1)
(0,2)
(2,2)
No solution​

Answers

Answer:

(2,2)

Step-by-step explanation:

2x+3y=10

x−2y=−2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

2x+3y=10,x−2y=−2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+3y=10,2x+2(−2)y=2(−2)

Simplify.

2x+3y=10,2x−4y=−4

Subtract 2x−4y=−4 from 2x+3y=10 by subtracting like terms on each side of the equal sign.

2x−2x+3y+4y=10+4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

3y+4y=10+4

Add 3y to 4y.

7y=10+4

Add 10 to 4.

7y=14

Divide both sides by 7.

y=2

Substitute 2 for y in x−2y=−2. Because the resulting equation contains only one variable, you can solve for x directly.

x−2×2=−2

Multiply −2 times 2.

x−4=−2

Add 4 to both sides of the equation.

x=2

The system is now solved.

x=2,y=2

Correct choice is D) 2,2

A number cube is labeled 1 through 6. It is rolled 240 times and the results are shown in the table below.

Number Outcomes
1 42
2 41
3 37
4 44
5 40
6 36


Based on the outcomes, if it is rolled 60 more times how many times will it land on a 4 or 5?
A.
7
B.
11
C.
20
D.
21







50 pts if you help don't be a brainly will take it down if you do and you wont get the points

Answers

Answer:

21

Step-by-step explanation:

It landed on 4 and 5 about 37% of the time with 240 rolls. So since 60 is 1/4 of 240, we just divided the number of times it landed on 4 and 5 by 4. So since it landed on 4 or 5 84 times, we divide 84 by 4

84 ÷ 4 = 21

So the number of times the cube will land on 4 or 5 is 21

Solve for t: t + 7 = 21 A. t = 28 B. t = 14 C. t = -28 D. t = -14

Answers

Answer:

B t= 14

Step-by-step explanation:

t + 7 = 21

collect like terms

t = 21 - 7

t = 14

(3RD TIME POSTING THIS!)
10.Solve the inequality

r + 0.2 < 0.7

Answers

Answer:

r can be any number so would it not be:

r + 0.2 ≤ 0.7

Step-by-step explanation:

This should not be too hard but I haven't done inequalities in a long time. So this might or not be the answer.

Is APQR EASTR? If so, name the postulate or theorem that justifies the congruence.
A. Yes, the triangles are congruent by SSA.
B. Yes, the triangles are congruent by SAS.
C. Yes, the triangles are congruent by SSS.
D. No, the triangles cannot be proven congruent with SSA information.

Answers

Answer:b

Explanation:

Answer:C SSS

Step-by-step explanation:

I got SSS because with the given sides equal, it can be said R is the midpoint of QT therefore QR≈RT and the triangles are congruent by SSS. The theorem used was midpoint theorem

Pls help plsssssss thanks

Answers

Answer:

1. 99.33

2. 96

Circle D is below. ⌢

What is the arc measure of BC in degrees

Answers

Answer:

[tex]BC = 84[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find BC

The sum of [tex]angles\ at\ a\ point[/tex] is 360.

So:

[tex]7n + 12 + 13n - 16 + 6n = 360[/tex]

Collect like terms

[tex]7n + 13n + 6n = 360 + 16 - 12[/tex]

[tex]26n = 364[/tex]

Solve for n

[tex]n = 364/26[/tex]

[tex]n = 14[/tex]

From the circle:

[tex]BC = 6n[/tex]

Substitute 14 for n

[tex]BC = 6*14[/tex]

[tex]BC = 84[/tex]

PLSSS someone help me out

Answers

The y-intercept is the point that crosses on the y-axis
In this case the y-intercept or B is -1

ANSWER BELOW I WILL MARK BRAINLIEST!! :)

Answers

Answer:

brainliest please?

:)   <3

Step-by-step explanation:

3 goes to A

1 goes to B

6 goes to C

5 goes to D

and 8 goes to E

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

DE/DF, D

Step-by-step explanation:

no explanation, it's a law

NEED THIS QUESTION WUICK PLEASE

Answers

option three, I think

[tex]3 \sqrt[3]{4} [/tex]

ALGEBRA 2 HELP!!!!!!!!

Answers

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Hellllllllllllllllllllp

Answers

Answer:

B would be your answer worked for me.

Step-by-step explanation:

What is the area of the triangle?
11
A
14
4

Answers

Answer:

I think the answer is 28, which you can find by multiplying 4 by 14 and dividing it by 2.

Please find the fully simplified intercept form!!!! Will mark Brianliest !!!!!!!!!!!
HELP PLEASE !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/3x  - 8

Step-by-step explanation:

Slope intercept form:

y = mx + b

Use two points from the graph:

(0, -8) and (3, -9)

The first point is the y-intercept:

b = -8

Find the slope using the slope formula:

m = (y2 - y1)/(x2 - x1)m = (-9 - (-8))/3 = -1/3

The equation is:

y = -1/3x  - 8

1. Which of the following is a right triangle?
A.A piece of steel with sides 2 meters, 4 meters, and 5 meters,
B.A stained-glass window with sides 8 inches, 15 inches, and 20
inches.
C.A garden with sides 12 feet, 34 feet, and 37 feet.
D.ceramic tile with sides 20 centimeters, 21 centimeters, and 29
centimeters.

Answers

Answer:

c

Step-by-step explanation:

Answer:

D 20,21,29

Step-by-step explanation:

How many grams is 3.3 mole of Mg(OH)2 ?

Answers

Answer: m = 3.3 mol·58.326 mol = 192 g

Step-by-step explanation: molar mass of substance is

M= (24.31+ 2·1.008 + 2·16) g/mol = 58.326 g/ mol.

Amount of substance n = m/M and mass m = n·M

In ARST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of T to the
nearest 10th of a degree.

Answers

Answer:

127.3

Step-by-step explanation:

T≈127.333≈127.3

Sebastian tiene un terreno cuadrado cuya area e de 81 m a la 2 si sebastian tiene planeado instalar una cerca alrrededor del terreno¿ cuantos metros nesecita?

Answers

Answer:

Length of fancying need = 36 m

Step-by-step explanation:

Given:

Area of square field = 81 m²

Find:

Length of fancying need

Computation:

Area of square field = 81 m²

Side² = 81

Side = 9 m

Length of fancying need = 4 x side

Length of fancying need = 4 x 9

Length of fancying need = 36 m

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ADEF= AKLM?
Check all that apply.
AA
O A. LA
ОВ. НА
O C. AAS
D. SAS
E HL
F.LL

Answers

1 Answer: Choice D) SAS

=================================================

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

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

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

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

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

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

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

ED = LK (double tickmarks)DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

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

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

What is the example of ratio?

Answers

Answer:

Step-by-step explanation:

f there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14

I need help with the equation.

Answers

Answer:

(x - 3)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given area = 25π , that is

πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

With centre (h, k) = (3, - 9 ) and r = 5 , then

(x - 3)² + (y - (- 9) )² = 5² , that is

(x - 3)² + (y + 9)² = 25

Answer:

hiiiiiiiiiiiii

Step-by-step explanation:

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