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
DanielleElmas [232]
2 years ago
13

In an examination, 40% of students passed in Maths only, 30% passed in Science only and 10% students failed in both subjects. If

200 students passed in science, find the total number of students by drawing Venn-diagram.​
Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

Answer:

  • 400 students

Step-by-step explanation:

<u>Given:</u>

  • 40% of students passed in Maths only
  • 30% passed in Science only
  • 10% students failed in both subjects
  • 200 students passed in science

Let the total number of students is x.

<u>Then the number of students passed in both subjects is:</u>

  • x - (0.4x + 0.3x + 0.1x) =
  • x - 0.8x =
  • 0.2x

<u>Number of students passed in science is:</u>

  • 0.3x + 0.2x = 200
  • 0.5x = 200
  • x = 200/0.5
  • x = 400

Venn diagram looks like below.

<u>Consider 'Math' and 'Science' as two circles, 'Both' is the intersection of circles, 'Neither' is outside of the two circles.</u>

  • Math         Both          Science            Neither
  • 40%          20%             30%                  10%
You might be interested in
Which would most likely be graphed using a continuous graph? Check all that apply. (Medal for correct answer.
zlopas [31]
We need an image to be able to answer this question

7 0
3 years ago
3w = 30 .... What is the solution of this equation?
uranmaximum [27]

Answer:

3w = 30

w = 30/3

therefore w = 10

8 0
3 years ago
Read 2 more answers
A person wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. The area of the
alekssr [168]

Answer:

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

A(w)=w\times (50-w)

where

w is the width (in feet) of the garden

now, we are given area =700 ft^2

so, we can set area =700

and then we can solve for w

w\times (50-w)=700

50w-w^2=700

-w^2+50w-700=0

now, we can use quadratic formula

ax^2+bx+c=0

w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare and find a,b, and c

a=-1 , b=50 , c=-700

now, we can plug values

w=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-700\right)}}{2\left(-1\right)}

w=25-5\sqrt{3}i,\:w=25+5\sqrt{3}i

We can see that values of w is not real

so, w does not exists when area =700

so, The garden can not have area of 700ft^2


4 0
3 years ago
There are two pizzas Conor ate 1/4 Brandon ate 2/8 Tyler ate 3/4 and Audrey ate. 4/8 who ate the most of the two pizzas
saul85 [17]
Tyler. 3/4 is the highest fraction of the four options.
7 0
3 years ago
Please help me create a function<br> Correct answer gets brainiest :)
slega [8]
Let y be Justin base pay, w% be commission,
y + w%*600=350-----(1)
y+w%*900= 425-----(2)
From equation (1),
y = 350- w%*600 = 350-6w-------(3)
Substitute equation (3) into (2),
350-6w+9w=425
3w = 425-350= 75
w= 25
y = 350-6w= 350-6(25)= 200
so the function is base pay +25%of merchandise
Final answer is $ (200 + 0.25x)
4 0
3 years ago
Other questions:
  • Choose which of the following are true statements regarding matrices:
    13·2 answers
  • Is the simplified form of 2 square root of 3 + 3 square root of 3 rational? (1 point) Yes No
    6·1 answer
  • What is the answer to 2 2/3 + 4 3/4 equals
    9·2 answers
  • What is the value of y in the triangle?
    7·1 answer
  • 40% =32/ what is the full fraction
    13·1 answer
  • Multiply (1.2 ⋅ 1028) ⋅ (3 ⋅ 10−19). Express the answer in scientific notation.
    6·2 answers
  • The perimeter of a rectangular feild is 60 ft and it’s width is 20ft find the area of this feild
    8·2 answers
  • I don’t understand I need help ‍♀️
    12·2 answers
  • Mr. Florean opened an account with deposit of $5,000. The account earned 7.5% annual simple interest. He did not make any additi
    15·1 answer
  • At the movies, Jill and Carly each buy a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!