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
grigory [225]
3 years ago
6

Find the number of students who like both peanut butter and jam. *

Mathematics
1 answer:
netineya [11]3 years ago
6 0

Answer:

4 students

Step-by-step explanation:

As shown in the diagram, let U=[The total number of students questioned]

\implies n(U) = 10

A=[Those who liked peanut butter ]

\implies n(A) =18

B=[Those who liked jam ]

\implies n(B) = 10

x = those who like both peanut butter and jam.

Also 6 liked neither peanut butter nor jam.

From the diagram we can write the mathematical equation as follow and solve for x

30 = 18 - x + x + 10 - x + 6

\implies 30 = 34- x

We add x and subtract 30 to both sides.

\implies 30 - 30 + x = 34- x + x - 30

\implies x = 4

Therefore 4 students like both peanut butter and jam.

You might be interested in
Classify the number: -23
fomenos
Wouldn’t the answer be 23?
7 0
3 years ago
Read 2 more answers
1/12 divided by 3/4 help please
worty [1.4K]

Step-by-step explanation:

(1/12) / (3/4)

= (1/12) * (4/3)

= 1/9.

7 0
3 years ago
Read 2 more answers
Which of these sequences of transformation would not return a shapte to its original position
Stels [109]

Answer:

dialation

Step-by-step explanation:

6 0
2 years ago
Find the slope of a line with x-intercept 5 and y-intercept -3.
Licemer1 [7]

Answer:

3/5

Step-by-step explanation:

When you are given an x-intercept, the y value will always be 0.

When you are given a y-intercept, the x value will always be 0.

With the intercepts we are given, we can make two points we can solve for the slope with.

(5, 0)

(0, -3)

Now, find the slope with the formula [ y2-y1/x2-x1 ]

-3-0/0-5

-3/-5

3/5 or 0.6

Best of Luck!

8 0
3 years ago
Q1 : Find the inverse of the function.
Mamont248 [21]

Answer:

1. Option D is correct.

2. Option B is correct.

3. Option B is correct.

Step-by-step explanation:

Inverse function defined as the the function that undergoes the action of the other function.

A function f^{-1} is the inverse of f if whenever y =f(x) and x =f^{-1}

To find the inverse of the function:

Q1.

Given the function:  f(x) = 7x -1

Put y for f(x) and solve for x;

y= 7x -1

Add 1 both sides we get;

y + 1 = 7x

Divide both sides by 7 we get;

x = \frac{y+1}{7}

Put f^{-1}(y) for x;

f^{-1}(y) = \frac{y+1}{7}

Interchange y =x, we have

f^{-1}(x) = \frac{x+1}{7}

Q 2.

Given the function:

f(x) = x^3 - 7

Put y for f(x) and solve for x;

y = x^3-7

Add 7 both sides we get;

y + 7 =x^3

taking cube root both sides we get

x =\sqrt[3]{y+7}

Put f^{-1}(y) for x;

f^{-1}(y) =\sqrt[3]{y+7}

Interchange y =x, we have

f^{-1}(x) = \sqrt[3]{x+7}

Q3 .

Given the function:

f(x) = 5x^3 - 3

Put y for f(x) and solve for x;

y = 5x^3-3

Add 3 both sides we get;

y + 3 =5x^3

Divide both sides by 5 we get;

x^3 = \frac{y+3}{5}

taking cube root both sides we get

x = \sqrt[3]{\frac{y+3}{5} }

Put f^{-1}(y) for x;

f^{-1}(y) = \sqrt[3]{\frac{y+3}{5} }

Interchange y =x, we have

f^{-1}(x) = \sqrt[3]{\frac{x+3}{5} }




7 0
3 years ago
Other questions:
  • If ab=2x+6 and bc=2x+5 what is the length of ac if ac=2x
    13·1 answer
  • A sled is being held at rest on a slope that makes an angle theta with the horizontal. After the sled is released, it slides a d
    5·1 answer
  • I need help on this
    13·1 answer
  • TIMED PLEASE HURRY HELP WITH 2 EASY QUESTIONS
    9·1 answer
  • Productivity increases under which of these scenarios? a. inputs and outputs increase proportionately b. outputs decrease while
    13·1 answer
  • A theater group made appearances in two cities. The hotel charges before tax in the second city were $1500 lower than in the fir
    8·2 answers
  • Find slope (-3-,3) (6, -13)
    5·1 answer
  • a housewife spent 3/7 of her money to buy yams and 1/2 of the remainder to buy rice what is the fraction of her money left​
    7·1 answer
  • Give brailist but help me fast
    11·1 answer
  • SOMEONE EXPLAIN FOR 100 POINTS AND BRAINLIEST! GEOMETRY HELP PLEASE!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!