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
astraxan [27]
3 years ago
7

1. In a class of students the ratio of the number of students who like to play football and the number of students who like to p

lay volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games. ​
Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

Both sports = 15

Step-by-step explanation:

Remark

What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.

Givens

Football only = 35

Volleyball only = 15

Ratio = 5/3

Equation

Let the number of students who play both = x

Volleyball / Football = (x + 15) /(x + 35) = 3/5

Solution

(x + 15) / (x + 35) = 3/5                  Cross multiply

5*(x + 15) = 3(x + 35)                     Remove the brackets

5x + 75 = 3x + 105                        Subtract 3x from both sides

<u>3x            3x</u>

2x + 75 = 105                               Subtract 75 from both sides

   <u>   - 75   -75  </u>

2x = 30                                        Divide by 2  

2x/2 = 30/2

x = 15

15 people play both sports.

You might be interested in
The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
matrenka [14]

Answer:

4/3

Step-by-step explanation:

5 0
3 years ago
Which of the following does not represent a function?
ankoles [38]
<h3>Answer:</h3>

graph of a parabola symmetric about the x axis with x intercept at negative 5

<h3>Explanation:</h3>

A parabola that opens horizontally does not pass the vertical line test. You can draw a verticla line that intersects the curve in 2 places. A function must be single-valued, so can only have one y-value for any x-value.

5 0
3 years ago
Read 2 more answers
Line parallel to y=2x has a slope of ?
loris [4]

In order to find the slope of a line parallel to this one, we must be familiar with the slope/intercept form, which is y= mx + b. M would be the slope. Therefore this line has a slope of 2. Parallel lines have the same slope, therefore<em> a line parallel to y=2x has a slope of </em><em>2</em><em>. </em>

7 0
4 years ago
Read 2 more answers
Janelle types at the rate of Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. Of a page per minute
Lesechka [4]

Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute

Step-by-step explanation:

Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.

For that same reason, option B is wrong as well. 2 > 3/8.

1/2 > 3/8 so Option C is wrong for the same reason as the options above.

To test option D;

If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.

Assume the much she can type is x;

3/8 : 1

x    : 2/3

1x = 3/8 * 2/3

x = 1/4

<em>Option D is therefore correct. </em>

6 0
3 years ago
Convert the following radian angle 3.5 into degrees. Round decimal answers to nearest tenth. Use 3.14 for pi.
8_murik_8 [283]

Answer:

  200.6°

Step-by-step explanation:

There are 180° in π radians, so the conversion is ...

  (3.5 radians)×(180°/(π radians)) = (3.5×180/3.14)° ≈ 200.6°

4 0
3 years ago
Read 2 more answers
Other questions:
  • The distance a car travels varies directly with the time it travels. a car travels 192.5 miles in 3.5 hours. how long will it ta
    15·1 answer
  • PLEASE HELP ASAP WILL GIVE BRAINLY IF CORRECT 10 POINT
    11·1 answer
  • What is the total area of the two shapes
    6·2 answers
  • A total of 432 tickets were sold for a school play. They were either adult tickets or student tickets. There were 68 fewer stude
    9·1 answer
  • Select all statements that are true about the linear equation.
    9·2 answers
  • 1 7/8 x 10/7 x 4 I need help answering this its confusing<br>​
    15·2 answers
  • Solve y+x=-3 by graphing
    14·2 answers
  • There are five boys and 10 girls in the glee club which ratio represents the number of boys in the club to the total number of s
    7·2 answers
  • Number 7 HELP ASAP ASAP
    8·1 answer
  • PLEASE HELP!! WILL GIVE BRAINLIEST!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!