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3 years ago

4 1/2 as a improper fraction

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

4 1/2 = 9/2 improper fraction

konstantin123 [22]3 years ago

5 0

Answer: 9/2

Step-by-step explanation:

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After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address. Which inequality can be used t

Svetach [21]

Answer:

B. e - 75 < 26

Step-by-step explanation:

After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address. Which inequality can be used to find the total number of envelopes (e)?

A. 75 - e < 26

B. e - 75 < 26

C. 75 - e > 26

D. e - 75 > 26

Total number of envelopes = e

The political volunteer has addressed 75 envelopes

The political volunteer has fewer than 26 envelopes left to address.

This means he has less than 26 envelopes to address after addressing 75 envelopes out of a total of e envelopes

The inequality that can be used is

e - 75 < 26

The correct answer is

B. e - 75 < 26

8 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

What's the answer to: 39-7x=-4(7x+7)+4

SOVA2 [1]

Simplify -28x-28+4−28x−28+4 to -28x-24−28x−24
 Add 28x28x to both sides39−7x+28x=−24Simplify 39-7x+28x39−7x+28x to 39+21x39+21x
39+21x=−24Subtract 39 from both sides
21x=−24−39Simplify -24-39−24−39 to −63
21x=−63Divide both sides by 21
x=− $\frac{63}{21}$
Simplify tex] \frac{63}{21} [/tex] to 3
x=−3

3 0

3 years ago

Point B has coordinates (1,2). The x-coordinate of point A is negative 8. The distance between point A and point B is 15 uni

olchik [2.2K]

Answer:

The point A will be (-8,14) or (-8,-10).

Step-by-step explanation:

Point B has coordinates (1,2) and the x-coordinate of point A is - 8.

Let us assume that the coordinates of point A are (-8,k).

Now, given that the point A is 15 units apart from point B.

Therefore, from the distance formula, we can write that

$\sqrt{(1 - ( -8))^{2} + (2 - k)^{2}} = 15$