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Assoli18 [71]
2 years ago
11

A sports club has 38 members. They all play either squash or tennis.

Mathematics
1 answer:
Brut [27]2 years ago
6 0

Step-by-step explanation:

Since we have given that

Total number of members in a sports club = 38

Number of women in the club = 14

Number of women play tennis =10

Number of men play tennis = 8

Since they all play either squash or tennis.

Total number of men in the club is given by

38-14\\\\=24

So, number of men playing squash is given by

24-8\\\\=16

Number of women playing squash is given by

20-16\\\\=4

so, the table is shown below :

                Men         Women     Total

Tennis       16                4               20

Squash       8                10              18

Total          24               14              38

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!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
1. Which of the following is an arithmetic sequence?
Ronch [10]

i say C. -5, -2, 1, 4, 7 is your answer for question 1.

and for question 2 i think is E. -6, -4, -2, 0, 2.

7 0
2 years ago
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Answer:

y = x + 7

Step-by-step explanation:

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Looking at the graph, we can see that the line intersects the y-axis at y = 7. So 7 would be our y-intercept.

To find the slope, we would divide the rise of the line by the run. Or m = rise/run. From looking at the graph, we can see that for every 1 unit the line moves in the x-direction, the line moves in the y-direction by 1 unit. Therefore, the rise would be 1 and the run would be 1. 1/1 = 1 so the slope of the line would be 1.

Plugging in 7 for b and 1 for m into the equation for the slope-intercept form, we get:

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I hope you find my answer and explanation to be helpful. Happy studying.

3 0
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Answer:

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8 0
2 years ago
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gtnhenbr [62]
A is your answer

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So we get a, 21 as your answer.

I hope this helped!
8 0
3 years ago
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