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Brrunno [24]
3 years ago
12

What is the solution to the equation fraction 1 over 4x = 5?

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0
\displaystyle  \frac{1}{4x}=5\quad \Big|\cdot 4x\\\\1=20x\quad\Big|:20\\\\x= \frac{1}{20}
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There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
3 years ago
3.) 2x + 4 = -3x - 2; x = 1<br><br>Determine if the value of x is a solution to the equation​
guajiro [1.7K]

Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2            x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

5 0
3 years ago
if the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. if a
kykrilka [37]
6 = k/9 => k = 6 x 9 = 54 N

a = 54/2 = 27 meters per second per second
6 0
3 years ago
Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?
MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0
3 years ago
Read 2 more answers
Sally is buying new school supplies. She used a 15% off coupon on a set of markers that was originally $3.00. She also bought so
fenix001 [56]
The original price of the paper was $3.50

I hope this helps! let me know if you need help with anything else! I'd be happy to help you in anyway I can! :)
6 0
3 years ago
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