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inn [45]
3 years ago
15

 A contractor purchases 6 dozen pairs of padded work gloves for ​$87.12. She incorrectly calculates the unit price as ​$14.52 pe

r pair for the expense report. What is the correct unit​ price? What is the​ error?
Mathematics
1 answer:
artcher [175]3 years ago
4 0

So, there are 6 dozen pairs of gloves. That amount of gloves costed $87.12. She calculated the amount per pair as 14.52. This was incorrect because she forgot about the majority of the 6 dozen(one dozen is the number 12). So that means there are not 6 pairs of gloves, in fact, there are 72 pairs of gloves. So, now that we have that number, we can <u>correctly</u> calculate the amount of gloves per pair. Now we have 2 answers. The amount per glove and the amount per pair

Answer 1: Each pair of gloves costs $1.21.

Answer 2: Each individual glove costs 61¢<em>(if there is a number under the hundredths place in the price, like in the thousandths, you </em><em>always</em><em> round upwards, in this case, the cost was .605, but you round up, making it 61¢)</em>

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Find the measure of c in each figure below using the side lengths given
kiruha [24]

Answer:

Step-by-step explanation:

take angle C as reference angle

using cos rule

cos C=adjacent/hypotenuse

cos C=21/75

cos C=0.28

C=cos^{-1}0.28

C=73.7 degree

3 0
3 years ago
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly. W
qaws [65]

Answer:

100

Step-by-step explanation:

The population is changing linearly. This means that the population is increasing by a particular value n every year.

From 2009 to 2017, there are 8 increases and so, the population increases by 8n.

The population increased from 1700 to 2500. Therefore, the population increase is:

2500 - 1700 = 800

This implies that:

8n = 800

=> n = 800/8 = 100

The average population growth per year is 100.

4 0
3 years ago
Which of the following demonstrates how the 20 is calculated using the combination pattern​
UNO [17]

The combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

<h3>Permutation and Combination</h3>

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

Learn more on combination here: brainly.com/question/4658834

#SPJ1

5 0
2 years ago
If n is a prime number, then n 1 is not prime?
Eddi Din [679]
That is true........
3 0
3 years ago
The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter
Nostrana [21]

Answer:

Part a) The volume of the original pyramid is 15\ cm^{3}

Part b) The volume of the pyramid increases by  6\ cm^{3}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

B=3^{2}=9\ cm^{2}\\h=5\ cm

substitute

V=\frac{1}{3}(9)(5)=15\ cm^{3}

Step 2

Find the volume of the new pyramid

B=9\ cm^{2} -------> the area of the base is the same

h=5+2=7\ cm ------> the height increase by

substitute

V=\frac{1}{3}(9)(7)=21\ cm^{3}

Subtract the original volume from the new volume

21\ cm^{3}-15\ cm^{3}=6\ cm^{3}

5 0
3 years ago
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