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Eddi Din [679]
3 years ago
15

The number of employees at a factory was increased by 5% from its original total of 1080 workers. What was the new number of emp

loyees?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0
Find out the number of 5% from its original total of 1080 workers.
1080×5%=54
Then,find the total of the employees.
1080+54=1134
So,the new number of employees is 1134.
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Which of the following sequences are not geometric? (check all that apply) a. 2,10,50,250,1250 b. 1,4,9,16,25,36 c. -4,-2,-1,-0.
Romashka [77]
A is geometric because each number is multiplied by 5.

B is not geometric because it is an arithmetic sequence. 

C is a geometric sequence because each number is divided by 2.

D is neither geometric not arithmetic because there is no common ratio and there is not a pattern being added or subtracted to each number.

So, your answer should be B and D.
8 0
3 years ago
ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

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3 0
3 years ago
Is 11.5 rational or irrational
earnstyle [38]
11.5 is a rational number
4 0
3 years ago
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In context, the phrase "This from her" (lines 47-48)
JulsSmile [24]

According to the In context, the phrase "This from her" (lines 47-48) helps to suggest that a <u>certain decision is out of character</u>

The correct option is C.

<h3>Explanation:</h3>

In the lines 47-48 the phrase "This from her" described that is complaining that everything she did was in vain, and that she later thought she would spend the rest of her days in New York, which led her to the choice she didn't want to make.

<h3>How do comprehension passages work?</h3>

Reading comprehension questions have a high chance of being scored. A passage is presented to us, along with some questions. Even if the information in the passage deviates from actual facts, the questions must be answered using it.

<h3>Describe a comprehension example.</h3>

The definition of comprehension refers to your capacity for understanding something or to the degree to which you actually comprehend something. Your level of understanding of a challenging math problem is an illustration of comprehension.

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5 0
2 years ago
The cost per minute for a conference phone call originally 2.60 increased by 30% what is the new price?
harkovskaia [24]
c.) $3.38

Original price = $2.60 
* It is the basis of increase thus, 100%
* 
The increase is 30%, thus, 100% + 30% = 130%

To get the new price, simply multiply the original price to 130%

$2.60 * 130% = $3.38

Another way of solving the problem is getting the equivalent of 30% and adding it to the original price.

$2.60 * 30% = $0.78
$2.60 + $0.78 = $3.38

6 0
3 years ago
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