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Elis [28]
3 years ago
9

Evaluate the expression for the given values of the variables.

Mathematics
1 answer:
pochemuha3 years ago
5 0

The expression 9p − 8q for p = 4 and q = −8 is equal to 100

<h3><u>Solution:</u></h3>

Given that we have to evaluate expression for the given values of the variables

Expression is:

⇒ 9p − 8q

Given that p = 4 and q = -8

<em><u>Let us substitute the given values of p = 4 and q = -8 in given expression and evaluate it</u></em>

⇒ 9p − 8q = 9(4) - 8(-8)

⇒ 9p - 8q = 9(4) + 8(8)

Upon multiplying the terms we get,

⇒ 9p - 8q = 36 + 64 = 100

Thus the expression is equal to 100

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In how many ways 5 boys and 3 girls can take their seat in a row so that , no girls seat together
Stels [109]

Answer:

36000 different ways

Step-by-step explanation:

If we have 5 boys and 3 girls, the total number of people we have will  be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.

8! = 8*7*6*5*4*3*2*1

8! = 40,320 ways.

If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.

6!*3! = 6*5*4*3*2*3*2

6!*3! = 4320 different ways

The number of different ways if no girls are to seat together = 8!- (6!*3!)

= 40,320 - 4,320

= 36000 different ways

4 0
4 years ago
Please give an answer and solution.
kvv77 [185]

Using proportions, it is found that 78 students would prefer long jump.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Out of 300 students, 26% would prefer long jump, hence the amount is given by:

n = 0.26 x 300 = 78 students.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
The ratio of apples to orgens is 1 to 3
-BARSIC- [3]
Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.
8 0
4 years ago
The front view of a house is drawn on graph paper. The left side of the roof of the house is represented by the equation y = x.
Dmitriy789 [7]

Answer:

JFGUTNGUTG

Step-by-step explanation:

V BGJNKBJB

8 0
3 years ago
Read 2 more answers
Explain how to compare 0.7 and 5/8
Vlad1618 [11]
.7 as a fraction is 7/10 and 5/8 as a fraction if you didnt know is 5/8.Try comparing it now.
7 0
3 years ago
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