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jeka57 [31]
3 years ago
5

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T.

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0
Q+S-T=7m+3n+n+5-(-m-3n+8)\\
Q+S-T=7m+4n+5+m+3n-8\\
Q+S-T=8m+7n-3
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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
3 years ago
11m −4/3=2m+5/3<br><br><br><br>pls tell me this answer is the answer 3
Oksana_A [137]

Answer:

m=1/3

Step-by-step explanation:

11m- 4/3=2m+5/3

-2m. - 2m

9m -4/3=5/3

+4/3.+ 4/3

9m= 9/3

m=1/3

6 0
3 years ago
what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form
Andrews [41]

Answer:

<u>m = 0</u>, y = -6

Step-by-step explanation:

using point slope form :

y - y_{1} = m(x - x_{1})

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0
3 years ago
Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and
Angelina_Jolie [31]

it would be 4.5 total

6 0
3 years ago
What is 2+ 9-x divided by 4 = 10
N76 [4]
Here is the work for this equation:

2+9-x/4 =10

11-x/4=10

11-x=40

x=29
7 0
3 years ago
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