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xz_007 [3.2K]
3 years ago
14

Find the missing number based on the description below:

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = -20

divide both sides by 10

a = -20/10

a = -2

The number is -2

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Answer:

\boxed{\textsf{ The LCM of 56 , 42 , 28 is \textbf{ 168}.}}

Step-by-step explanation:

We need to find out the LCM of 56 , 42 , 28 . So Lowest Common Multiple known as LCM is the lowest multiple which is divisible by all the numbers whose LCM is taken out . It can we done by two methods. Both of which are discussed in the attachment .

For complete solution kindly refer to the attachment .

<u>Related</u><u> Information</u><u> </u><u>:</u><u>-</u><u> </u>

<u>•</u><u> </u><u>HCF </u><u>:</u><u>-</u>

  • It stands for Highest Common Factor . It is the highest numbers which divides out completely the numbers without leaving remainder of the numbers whose HCF is we are finding out .

3 0
3 years ago
a randon sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Constru
Lynna [10]

Answer:

For 99% of confidence interval is 67.5±1.3524

Step-by-step explanation:

Given:

Mean height =67.5 inches

Standard deviation:2.1 inches

Z at 99%.

No of samples 16.

To find:

confidence interval

Solution:

We have formula for confidence interval,

=mean ±Z*{standard deviation/sqrt(no.of observation)}

Now

Z=99%

has  standard  value as ,

Z=2.576

Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}

=67.5±2.57{(2.1/sqrt(16)}

=67.5±2.576(2.1/4)

=67.5±1.3524

5 0
3 years ago
In 2012, the population of a small town was 3560. The population is decreasing at a rat of 1.7% per year. How can you rewrite an
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In 2012, the population of a small town was 3,560. The population is decreasing at a rate of 1.7% per year. How can you rewrite an exponential growth ...
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2 years ago
Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the follo
Paladinen [302]

Answer:

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2 years ago
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
faltersainse [42]

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

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