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3 years ago

10

Matt and Mindy each built a rectangular prism that has a length of 5 units,a width of 2 units, and a height of 4 units.Matt used

cubes that are 1 cm on each side.Mindy used cubes that are 1 in. on each side. What is the volume of each prism?

1 answer:

Agata [3.3K]3 years ago

5 0

Volume = length * width * height

Matt:

volume = 5 cm * 2 cm * 4 cm = 40 cm^3

Mindy:

volume = 5 in * 2 in * 4 in = 40 in^3

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Solve the equation, show all your work:<br><br> 6x - 3 = 21

OlgaM077 [116]

<u>Answer:</u>

The solution to the equation is 4.

<u>Step-by-step explanation:</u>

<u>Work:</u>

6x - 3 = 21
=> 6x = 21 + 3
=> 6x = 24
=> x = 4

Hence, <u>the solution to the equation is 4.</u>

Hoped this helped.

$BrainiacUser1357$

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2 years ago

Find the number of the different ways, for 3 students to sit on 7 seats in one row.

qwelly [4]

Answer:

210

Step-by-step explanation:

Here comes the problem from Combination.

We are being asked to find the number of ways out in which 3 students may sit on 7 seats in a row. Please see that in this case the even can not be repeated.

Let us start with the student one. For him all the 7 seats are available to sit. Hence number of ways for him to sit = 7

Let us see the student second. For him there are only 6 seats available to sit as one seat has already been occupied. Hence number of ways for him to sit = 6

Let us see the student third. For him there are only 5 seats available to sit as two seat has already been occupied. Hence number of ways for him to sit = 5

Hence the total number of ways for three students to be seated will be

7 x 6 x 5

=210

3 0

3 years ago

Read 2 more answers

A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?

tensa zangetsu [6.8K]

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

∴

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

$\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}$

$\mathbf {(x) = \$18.5}$

Therefore, we can conclude that the amount spent on each tube is $18.5

Learn more about arithmetic operations here:

brainly.com/question/15385899?referrer=searchResults

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2 years ago

I need to find the greatest common factor of <img src="https://tex.z-dn.net/?f=40s%5E3t%5E5" id="TexFormula1" title="40s^3t^5" a

solong [7]

Answer:

$\large\boxed{GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=2s^3t^4}$

Step-by-step explanation:

$40s^3t^5=\boxed2\cdot2\cdot2\cdot5\cdot \boxed{s\cdot s\cdot s}\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\\\\2s^4t^4=\boxed2\cdot \boxed{s\cdot s\cdot s}\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\\\\14s^6t^6=\boxed2\cdot7\cdot \boxed{s\cdot s\cdot s}\cdot s\cdot s\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\cdot t\\\\GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=\boxed2\cdot \boxed{s\cdot s\cdot s}\cdot\boxed{t\cdot t\cdot t\cdot t}=2s^3t^4$

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3 years ago

What is the solution of the system? Use elimination.<br><br> 3 (-5x-2y=6)<br> 3x+6y=6

Iteru [2.4K]

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

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2 years ago