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Katen [24]
3 years ago
9

Simplify helllllppp please

Mathematics
1 answer:
OleMash [197]3 years ago
5 0
The given expression is:
4 - 8 (3/4) + 1/4

To start, we will convert all the numbers to be having a denominator of 4 as follows:
4 is equivalent to 16/4
-8 (3/4) is equivalent to -24/4
1/4 already has 4 as a denominator

Now, the new expression became:
16/4 - 24/4 + 1/4

Since they all have a common denominator, the result can be computed by adding numerators as follows:
16/4 - 24/4 + 1/4
= (16-24+1) / 4
= -7/4

The correct choice is: 
A. -7/4

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Step-by-step explanation: combine like terms hope this helps!

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Which of the following is a proportion? 9/12 = 8/10 3/4 = 9/12 6/8 = 8/12 12/18 = 19/16
goblinko [34]

Answer:

3/4=9/12

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3 years ago
Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i
oksano4ka [1.4K]

The <em><u>correct answer</u></em> is:

A line of reflection would need to be drawn as a line that bisects a vertex angle of the pentagon.

Explanation:

A line that bisects a vertex angle of a pentagon will be a line of symmetry within the pentagon. The pentagon can be "folded" through this line into two equal halves.

This imaginary line represents the center of the pentagon. A reflection through this line will carry the pentagon onto itself. This is due to the definition of line symmetry:

"A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set."

Additionally, for any regular polygon, the number of lines of symmetry equals the number of sides.

This means that this line can be through any vertex angle of the polygon.

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3 years ago
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A rectangular prism has a height of 12 cm and a square base with sides measuring 5 cm. A pyramid with the same base and the heig
Ksju [112]
The answer is 200 cm³


The volume of the rectangular prism (V1) is:
V1 = l · w · h                       (l - length,  w - width,  h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³

The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h                   (l - length,  w - width,  h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³


The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2): 
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
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3 years ago
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