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
earnstyle [38]
3 years ago
11

Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics

and science, 4 study mathematics and computer programming, and 5 study science and computer programming. We know that 1 student studies all three subjects. How many of these students study none of the three subjects?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

2 students study none of the subjects.

Step-by-step explanation:

Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).

We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.

emmainna [20.7K]3 years ago
3 0

Answer: 3 students study none of the three subjects

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

M represents the sub set of mathematics students.

S represents the sub set of science students.

CP represents the sub set of computer programming students.

From the diagram,

The number of students studying mathematics and science only is

3 - 1 = 2

The number of students studying mathematics and computer programming only is

4 - 1 = 3

The number of students studying science and computer programming only is

5 - 1 = 4

The number of students studying mathematics only is

7 - (2 + 1 + 3) = 1

The number of students studying mathematics only is

10 - (2 + 1 + 4) = 3

The number of students studying computer programming only is

10 - (3 + 1 + 4) = 2

Let x represent the number of students that study none of the three subjects. Since the total number of students is 18, it means that

2 + 3 + 4 + 1 + 3 + 2 + x = 18

15 + x = 18

x = 18 - 15 = 3

You might be interested in
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Fynjy0 [20]

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

8 0
3 years ago
What is the equation for the line? enter your answer in the box
Igoryamba
To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)

The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept

First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c

Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4

Based on the above calculations, the equation of the line is:
y = -2x - 4
7 0
3 years ago
The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for
storchak [24]

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

4 0
2 years ago
Carrie works due south of her apartment. Her friend Sarah works due east of the
Zarrin [17]

Answer:

3 miles

Step-by-step explanation:

5-1+2=3

4 0
3 years ago
If f(x) = - 8x +2 then f^-1(x) =
mrs_skeptik [129]

Answer:

f^-1(x)  = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for  y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

3 0
3 years ago
Other questions:
  • Certain clouds form when temperatures fall below -62c. What is the temperature in degrees Fahrenheit? Temperature is_ Greece Fah
    14·1 answer
  • For every $2 Alice spent on materials, she could make 5 coasters. She made 60 coasters and sold them at the York Beach Fair, cha
    8·1 answer
  • Does the point(1, 8)satisfy the inequality y ≥ 6x + 2 ?
    6·1 answer
  • Determine which line is steeper. Explain your answer. What does it represent in this situation?
    6·1 answer
  • What is the sign of a• (-b/b) when a=0 and b < 0
    6·1 answer
  • Convert kg into dg<br>1) 0.089kg<br>2) 0.0659 kg​
    11·2 answers
  • How many 1/2 are in 4 in
    11·1 answer
  • Write an equation in slope-intercept form for this line.
    13·1 answer
  • 23792743598437589643252963405 x 23792743598437589643252963405
    13·1 answer
  • Solve using substitution method and show all work <br><br>4x -2y = 18<br><br>-4x + 2y = -18
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!