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2 years ago

Simplify the following expressions.

Mathematics

1 answer:

baherus [9]2 years ago

8 0

1. 36x + 4
2. 30n + 42
3. -24p + 32
4. 24p -28
5. 15m - 30
6. 5x + 45

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An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain wh

Brums [2.3K]

Answer:

Yes, the aquarium will fit in 15 cubic feet of space.

Step-by-step explanation:

Given:

An aquarium has a base area of 6 square feet and a height of 2 feet.

Now, to find will the aquarium fit in 15 cubic feet of space or not.

So, as given the dimensions:

Base area = 6 square feet.

Height = 2 feet.

Now, to get the volume of aquarium by using formula:

$Volume=base\ area\times height\\\\Volume=6\times 2\\\\Volume=12\ cubic\ feet.$

As, the volume of aquarium is 12 cubic feet.

And, the aquarium to be fit in 15 cubic feet space. So, 15 is more than 12.

Thus, the aquarium will be fit in 15 cubic feet space.

Therefore, the aquarium will fit in 15 cubic feet of space.

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2 years ago

PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A similarity transformation maps

erica [24]

The scale factor would be 3.5

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3 years ago

Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?

yarga [219]

Point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form

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3 years ago

Write "x is less than or equal to zero" three different ways.

garik1379 [7]

The expression "x is less than or equal to zero" can be written in several forms; some examples, however, could be:

x ≤ 0
0 ≥ x
(You could substitute any number in place of 3 for the below)
3 - 3 ≥ x

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3 years ago

Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year.

MA_775_DIABLO [31]

Answer:

m + p >= 100

m >= 40

p >= 10

Step-by-step explanation:

let m = number of mugs

let p = number of plates

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3 years ago