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Roman55 [17]
3 years ago
11

Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per pa

ge each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed? a) $430 b) $620 c) $650 d) $680 e) $770
Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

D. $680

Step By Step Explanation:

100 pages are typed. Each page coast $5 to type.

100 x 5 = 500

40 pages are revised once. It costs $3 to revise a page once.

40 x 3 = 120

10 pages are revised twice. It costs $3 to revise a page once so it will cost $6 to revise it twice

10 x 6 = 60

To find the total cost we add all the amounts together

500 + 120 + 60 = 680

The final answer is $680

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Match the equation of the line with its point and slope.
Genrish500 [490]

Answer:

1) y=2x-2

2) y=2x+10

3) y=2x-10

4) y=2x+2

5) y=1/2 x

6) y=1/2 x-2

7) y=1/2 x+2

hope this helps, if so hit that thanks button ;D

Step-by-step explanation:


7 0
3 years ago
How do you calculate interest?
xxMikexx [17]
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27/6 in mixed numbers
sp2606 [1]

Answer:

4 1/2

Step-by-step explanation:

4 0
3 years ago
The ages of personnel in the accounting department of a large company are normally distributed with a standard deviation of 7 ye
Blababa [14]

Answer:

The mean of this distribution is 36 years.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\sigma = 7

There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22

This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22, Z = -2. So

Z = \frac{X - \mu}{\sigma}

-2 = \frac{22 - \mu}{7}

22 - \mu = -2*7

\mu = 22 + 2*7

\mu = 36

The mean of this distribution is 36 years.

4 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST
omeli [17]

1)

v - 6 ≥ 4

<u>   +6  </u> <u>+6 </u>

v      ≥ 10

Graph: 10 -----------------→  <em>the dot at 10 is filled in because of the "equal to" symbol</em>

********************************************************************************************************

2)

-5x < 15

\frac{-5x}{-5} > \frac{15}{-5}  <em>divided by a negative so the symbol flipped </em>

x > -3

Graph: -3 o------------------→ <em>the dot at -3 is NOT filled in because it's NOT "equal to" </em>

********************************************************************************************************

3)

3k > 5k + 12

<u>-5k </u>  <u>-5k       </u>

-2k >          12

\frac{-2k}{-2} < \frac{12}{-2}   <em>divided by a negative so the symbol flipped </em>

k < -6

Graph: ←------------o -6   <em>the dot at -6 is NOT filled in because it's NOT "equal to" </em>

********************************************************************************************************

5)

2t ≤ 4      or    7t ≥ 49

\frac{2t}{2} \leq\frac{4}{2}      or    \frac{7t}{7} \geq \frac{49}{7}

 t ≤ 2      or      t ≥ 7

Graph: ←------- 2        7 ---------→   <em>the dots at 2 and 7 are filled in</em>

********************************************************************************************************

6)

| n + 2 | = 4

n + 2 = 4      or     n + 2 = -4

<u>     -2</u>   <u>-2 </u>             <u>     -2 </u>   <u>-2 </u>

n      = 2        or     n       = -6

Answer: n = {2, -6}

********************************************************************************************************

7)

| 2x - 7 | > 1

2x - 7 > 1       or     2x - 7 < -1

<u>      +7</u>  <u>+7 </u>             <u>     +7 </u>   <u>+7 </u>

2x      > 8       or     2x     <  6

    \frac{2x}{2} > \frac{8}{2}             or       \frac{2x}{2} < \frac{6}{2}

    x > 4          or         x < 3

Graph: ←----------o 3      4 o------------→

********************************************************************************************************

8)

A = {1, 2, 3, 4, 5, 6, 7, 8, 9}    B = {2, 4, 6, 8}

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 9}    <em>union combines both sets</em>

A ∩ B =  {2, 4, 6, 8}   <em>intersection includes only those that are in BOTH sets</em>

********************************************************************************************************

9)

P = {1, 5, 7, 9, 13}   R = { 1, 2, 3, 4, 5, 6, 7}    Q = {1, 3, 5}

P ∩ R ∩ Q = {1, 5}

P ∩ R = {7}  <em>disregard 1 & 5 since they are already in </em>P∩Q∩R

R ∩ Q = {3}  <em>disregard 1 & 5 since they are already in </em>P∩Q∩R

P ∩ Q = { }  <em>disregard 1 & 5 since they are already in </em>P∩Q∩R

P no intersection = {9, 13)

R no intersection = {2, 4, 6}

Q no intersection = {  }

If you can't figure out how to draw it based on the information I provided, please see the attached diagram. <em>Note: Usially, you would only identify P, Q, R.  I identified the intersections so you would understand why those specific numbers are placed in the designated sections.</em>





4 0
3 years ago
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