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goblinko [34]
3 years ago
7

in a class of 40 students, all play at least one sport. if 21 students play basketball, 18 play soccer, 15 play volleyball, and

6 students play exactly two sports, then how many play all three sports?
Mathematics
1 answer:
Minchanka [31]3 years ago
4 0
20 students play all three sports
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Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
frosja888 [35]

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

The inequality that relates the number of hours to the weekly sales is:

450 + 0.20x \ge 35y

We make use of the following representation:

x \to weekly sales from cars.

y \to hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

S = 450 + 20\% * x

Express percentage as decimal

S = 450 + 0.20* x

S = 450 + 0.20x

Assume he works for y hours in a week.

His hourly rate is:

Hourly = \frac{S}{y} --- i.e. weekly salary divided by number of hours

Hourly = \frac{450 + 0.20x}{y}

For this rate to be at least \$35, the following condition must be true

Hourly \ge 35 --- i.e. is hourly rate must be greater than or equal 35

So, we have:

\frac{450 + 0.20x}{y} \ge 35

Multiply both sides by y

450 + 0.20x \ge 35y

5 0
3 years ago
29 yd 2ft 11 in + 55 yd 1 ft 10in + 13 yd 1ft 3in=
alexandr402 [8]
Add up all.

Yards = 29 + 55 + 13 = 97

Feet = 2 + 1 + 1 = 4

Inches = 11 + 10 + 3 = 24

In conclusion your final anwser is

97 yd. 4 ft. 24 in.

Hope this helps!
Have a great day.
7 0
3 years ago
Ms.diaz wants to to divide her class of 30 students into 10 groups. The groups do not need to be equal size. What are some of he
Alja [10]
10 and 3 since that equals 30.
7 0
3 years ago
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The sides of a rectangle are 3t - 2 and 5t + 7. Write an expression for the perimeter of the rectangle.
natka813 [3]
How does this have anything to do with factoring?
Perimeter of the rectangle would just be 2(3t-2)+2(5t+7)
Simplify that to get 6t-4+10t+14, then 16t+10
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3 years ago
Julia bought name tags for a party. Each name tag is 3 3/4 in. wide and 2 1/3 in. high.
kogti [31]
View explanations and answer in the picture

5 0
3 years ago
Read 2 more answers
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