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cupoosta [38]
3 years ago
13

Eight less than four times a number is less than 56. What are the possible values of that number?

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

A.  x > 12

Step-by-step explanation:

Eight less than four times a number is less than 56. What are the possible values of that number?

x less-than 12

x greater-than 12

x less-than 16

x greater-than 16

Damm [24]3 years ago
4 0

For this case we can algebraically rewrite the expression given as:

8-4x

Where:

x: Represents the unknown number

Subtracting 8 from both sides of the inequality we have:

-4x

Dividing between 4 on both sides of the inequality:

-x

We multiply by -1 on both sides taking into account that the sense of inequality changes:

x> -12

ANswer:

x> -12

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Line s has a slope of 2/5. line t is perpendicular to s. what is the slope of line t​
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Answer:

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Step-by-step explanation:

In order to find the slope of a perpendicular line: negate the reciprocal of the original slope

6 0
3 years ago
2) Does this mapping diagram represent a function? *
Paul [167]

Answer:

yes

Step-by-step explanation:

each input is put with only one output therefore it is a function

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Match each description to the correct relationship between the variables.
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4 years ago
There are 15 technicians and 11 chemists working in a research lab. They need to form a 5 person safety committee. In how many w
Burka [1]
<h2>There are a total 65,780 ways in which the committee can be made of 5 members.</h2>

Step-by-step explanation:

Here, the total number of technicians in the lab = 15

The total number of chemists in the lab  = 11

So, the total members in the lab  = 15 + 11 = 26

So, there are total 26 eligible candidates in the lab from which committee of 5 people has to be made.

Now, since there is <u>no restrictions</u> on the choice, so the committee can be formed in nay way, such that:

It may or may not have any technician.

It may or may not have may chemists.

So, the number of ways 5 member can randomly be chosen from a committee of 26 people  = ^{26} C_5

^{26} C_5 = ^{26} C_5 = \frac{26!}{5! \times 21!}  = 65,780

Hence, there are a total 65,780 ways in which the committee can be made of 5 members.

5 0
3 years ago
Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the
luda_lava [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

cos x=\frac{adjacent}{hypotenuse}

cos x=\frac{15}{17}

taking cos inverse

x = cos^{-1} (\frac{15}{17} )

x = 28.07°   :   Answer

Hope it will help :)

7 0
3 years ago
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