1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notka56 [123]
3 years ago
6

The local tennis club needed new tennis balls. To pay for all the new balls, each person in the club donated $12.45. The bill fo

r the new balls came to a total of $510. The club had $50.25 left over and decided to put it towards their end of year Christmas party. How many people are members at the tennis club?
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

45 people are members at the tennis club

Step-by-step explanation:

Let the number of people in the tennis club be denoted as "x".

Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

You might be interested in
If a fair six-sided die is rolled three times, what is the chance of getting at least one ace ? note: an ace is the number 1.
qwelly [4]
Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
4 0
2 years ago
Help this is really hars
s344n2d4d5 [400]
We have to find the slope of the line that passes through this points:
p1(-2,15), p2(-8,-5)
the slope of a line through two points is calculated like this:
m = (y2 - y1)/(x2 - x1)
where x1,y1,x2,y2 are the coordinates of the two points, so we have:
m = (-5 - 15)/(-8 - (-2))
m = (-20)/(-8 + 2)
m = -20/-6
m = 10/3
that is the line slope
6 0
3 years ago
A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes long
Anon25 [30]

By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.

When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.

So upstream the speed is:

(14 mi/h - S)

Downstream the speed is:

(14 mi/h + S)

Where S is the rate of current in the stream.

We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = (12 mi)/(14 mi/h + S)

Replacing that in the other equation we will get:

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Also notice that the speeds are in hours, so we can rewrite:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi^2/h - 12mi*S  + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S

- 12mi*S  + 49mi^2/h - 0.25h*S^2 = 12mi*S

-24mi*S -  0.25h*S^2  + 49mi^2/h = 0

This is a quadratic equation, the solutions are:

S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)}  }{2*-0.25h} \\\\S =  \frac{24mi \pm 25 mi  }{-0.5h}

We only take the positive solution, so we get:

S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h

The rate of current in the stream is 2 mi/h.

If you want to learn more, you can read:

4 0
2 years ago
4 1/2 times 5 2/3 plz!!!!!!! Help!!!!!!!!!
Over [174]

Answer:

25 1/2

Step-by-step explanation:

Turn both numbers into a fraction.

4x2=8

8+1=9

9/2 x 5 2/3

5x3=15

15 + 2 = 17

9/2 x 17/3

Make the denominator the same

2x3=6

9x3=27

27/6

17x2=34

27/6 x 34/6

Multiply numerator w numerator and denominator w denominator

27 x 34 = 918

6 x 6 = 36

918/36

Break it down

36 x 26 = 936

936-918=18

25 18/36

18/2 36/2 = 9/18

9/9 18/9= 1/2

25 1/2

3 0
2 years ago
What is the additive inverse of 9?
GalinKa [24]

Answer: -9

Step-by-step explanation: Additive inverse of -9 is 9, as (-9) + 9 = 0.

5 0
2 years ago
Other questions:
  • A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3
    7·1 answer
  • This equation shows how the total cost of visiting the science museum as a member is related to the number of visits. c = 9.8v +
    9·2 answers
  • Write a fraction that is equivalent to a terminating decimal. Write the number in both fraction and decimal form.
    15·1 answer
  • What is two solutions for x>6
    8·1 answer
  • What is i30?<br> A. 1<br> B. -i <br> C. -1<br> D. i
    8·1 answer
  • Sadie measured the floor of her storage unit, which is rectangular. It is 9 meters wide and 10 meters from one corner to the opp
    11·1 answer
  • Someone Help! PLEASE!
    15·1 answer
  • I need help someone help
    9·2 answers
  • Can someone check my work? Also it’s equivalent ratios and I was wondering if this his how you do it?
    8·1 answer
  • Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!