In a group of 55 people, 3x+5 people like banana and x+5 people like apple. If all the people who like apple also like banana and if 2x+15 people like at least one of fruit then find how many like
(i) bananas only,
(ii) none of the fruits
(iii) at most one fruit
also show subset​

Answers

Answer 1

i. The number of people who like banana only is 20.

ii. The number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit is 30.

The question has to do with sets.

What is a set?

A set a collection of well ordered items

i. How to find how many people like banana only.

Since we have 55 people, 3x + 5 people like banana and x + 5 people like apple. If all the people who like apple also like banana and if 2x + 15 people like at least one of fruit then, we have that

3x + 5 + x + 5 + 2x + 15 = 55

3x + 2x + x + 5 + 5 + 15 = 55

6x + 30 = 55

6x = 55 - 25

6x = 30

x = 30/6

x = 5

Since the number of people who like banana only is 3x + 5.

So, number of people who like banana only is n = 3x + 5

= 3(5) + 5

= 15 + 5

= 20

So, the number of people who like banana only is 20.

ii. The number of people who none of the fruits.

Since from the question, a person likes at least one fruit, either banana, apple or both. No one likes none of the fruits.

So, the number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit?

To like at most one fruit, the person either likes apple or banana.

So, their sum is n = 3x + 5 + x + 5

= 4x + 10.

Since x = 5, we have n = 4x + 10.

= 4(5) + 10

= 20 + 10

= 30

So, the number of people who like at most one fruit is 30.

Learn more about sets here:

https://brainly.com/question/27365556

#SPJ1


Related Questions

an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100

Answers

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.

Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Answer:

I think it would be 25m + 10b = 400

Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,

Answers

Odpowiedź:

Prosimy sprawdzić wyjaśnienie

Wyjaśnienie krok po kroku:

Na numer: 20

a.) 10% więcej;

(1 + 10/100) * 20;

1,10 * 20 = 22

b.) 20% mniej

(1 - 20/100) * 20

0,8 * 20 = 16

c.) 50% mniej

(1 - 50/100) * 20

0,5 * 20 = 10

Dla numeru 60:

a.) 10% więcej;

(1 + 10/100) * 60;

1,10 * 60 = 66

b.) 20% mniej

(1 - 20/100) * 60

0,8 * 60 = 48

c.) 50% mniej

(1 - 50/100) * 60

0,5 * 60 = 30

Na numer 150;

a.) 10% więcej;

(1 + 10/100) * 150;

1,10 * 150 = 165

b.) 20% mniej

(1 - 20/100) * 150

0,8 * 150 = 120

c.) 50% mniej

(1 - 50/100) * 150

0,5 * 150 = 75

Dla numeru 300;

a.) 10% więcej;

(1 + 10/100) * 300;

1,10 * 300 = 33%

b.) 20% mniej

(1 - 20/100) * 300

0,8 * 300 = 240

c.) 50% mniej

(1 - 50/100) * 300

0,5 * 300 = 150

david roller skates with a constant speed of 12kmh how far can he travel in 3 hours

Answers

Answer:

36

Step-by-step explanation:

12 x 3 =36

Answer:

36 kilometers or 22.4 miles

Step-by-step explanation:

12 kmh times 3 equals 36

SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.

The graph of f(x)=x is given which graph represents g(x)=1/3x

Answers

Answer:

Where are the graphs

Step-by-step explanation:

150 miles in 6 gallons

Answers

Answer:

uh thanks for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.

For an average person:

1 mile = 2,000 to 2,500 walking steps

1 km = 1,250 to 1,550 walking steps

10,000 steps = 4 to 5 miles

Use Distributive Property to simplify the following expression: 10(m + 5)

Answers

This answer would be 10m+50. To distribute, you would multiply each thing in the parenthesis, by the ten. So 10 times m would be 10m and 10 times a positive 5 would be 50.

What is the meaning of data in mathematics?

Answers

Answer:

Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data      EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.

Step-by-step explanation:

Need serious help with this!!!!!!!!!!!!!!!!!!!

Answers

192 miles is how far it travels

Answer:

240 miles

Step-by-step explanation:

64x3 =192

3/4 of 64 is 48

192 + 48 = 240

solve the problem: -10 + +10 =

Answers

It equals zero negative plus positive equals zero

Answer:

0

Step-by-step explanation:

-10+ + 10

-10+10

0

Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD

Answers

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

help please with math

Answers

Answer:

(2 x a)+(3 x b)+c=total points

Step-by-step explanation:

Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point

Answers

Answer:

84 cars

Step-by-step explanation:

Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then

number of black cars = 3T/4, other = T - 3T/4 = T/4

If 4/7 of the remaining cars are blue then

the number of blue cars = 4/7 * T/4 = T/7

Remaining cars = T/4 - T/7

= (7T-4T)/28

=3T/28

Given that the remaining cars are sliver and the number of silver cars is 9 then

3T/28 = 9

Cross multiply

3T = 28 * 9

Divide both sides by 3

T = 28 * 9 / 3

= 28 * 3

= 84 Car

El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?​

Answers

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation:

5) 15 – 3(x + 2) ??????????????????????

Answers

Answer:

-3x + 9

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!!!

ILL GIVE 20 POINTS

Answers

Answer:

D. This was the first time Judicial Review took action in court.

Step-by-step explanation:

Answer the photo below thanks

Answers

Answer:

you have it marked correctly-A.1,2

Step-by-step explanation:

they are the same only flipped around

Answer:

A . 1 and 2

Step-by-step explanation:

count the squares

HELP PLS!!! make sure to submit a pic of the graph!
Graph the piecewise function.

Answers

Answer:

I cant graph on here

Step-by-step explanation:

Answer:

3x-5 if x≤-1    = Green

-2x+3 if -1<x<4   = Orange

2 if x≥4  = Purple

What is the length of BC

Answers

Answer:
Re-submit ur question sweet heart

Expand 40 76/100 into decimal form then write the whole number with decimal.

Answers

This should be 40.76

Alternate form:
1019/25

Answer:

40.76

Step-by-step explanation:

gimme ye points

y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions

Answers

Answer:

One Solution

Step-by-step explanation:

Trust me

find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)

Answers

Eeeeeeeeeeeeeeeeeeee
3a2+30a-2a-20=3a2+28a-20
6b2+15b-30b-75=6b2-15b-75

Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2

Answers

Answer:

C) -7/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6

simplify -14/6 to -7/3

Help me for a cookie

Answers

Answer:

145 degrees

Step-by-step explanation:

1. A straight line is 180 degrees

2. 180-35=145

Find the area of each composite figure.

Answers

Answer:

89.14 Sq . meter

Step-by-step explanation:

Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :

4 metres × 16 metres

= 64 sq. meter

Area of semicircle :

(pi×r^2)/2

= {(22/7)× (8/2)^2}/2

= (22×4×4)/(7×2)

= 176/7

= 25.14 sq. meter

Now , area of whole figure= (64+25.14)sq. meter

= 89.14 sq. meter

Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato

Answers

Answer: what is the question

Step-by-step explanation:

Enter the value of 12x-2 when x = 3.

Answers

Answer:

34

Step-by-step explanation:

12(3)-2

36-2

34

Answer:

im sorry if this is wrong but i think its 2

Please help asap I will give you brainliest Find the area of the shaded region

Answers

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

which is bigger or equal 6 gallons or 96 pints

Answers

Answer:

96 pints

Step-by-step explanation:

Other Questions
Your patient has been severely injured in a fight. He is now lying supine, with gurgling respirations and visible blood in the throat. Which of the following should you do first?A. Initiate PPV with oxygenB. Apply oxygenC. Fully immobilize the patientD. Suction the airway The room measures 24 feet by 18 feet. Each ceiling tile is 2 feet by 3 feet For the generic reaction, a(g)b(g) Consider each value of k and initial concentration of a .For which set will the x is small approximation most likely apply? Find value of X. Round to the nearest tenth. right Triangle 36 , 10, x Problem #8 what is a potential reason for why the presence of a phosphate group on the glucose molecule leads to a ~10-fold rate enhancement in imine formation. (hint: for this, remember the various factors governing the rate of a bimolecular reaction, which this is.) If your budget as a manager increases and the wage rate decreases what will happen to the isocost line? a. It will shift outward (parallel to itself) b. It will become steeper and shift outward c. It will become flatter and shift outward d. It will shift inward (parallel to itself) if higher prices cause buyers to shop at discount stores, the cpi has deforestation oftentimes leads to ____ in soil nutrient loss, _____ in food quality, and ____ in susceptibility to human disease. What is the two critical items of a multiple-step income statement that is useful to creditors? is the evolutionary history of a group of related organisms China's large population is an appealing factor to American firms. What does this mean to American firms interested in competing in new markets? Group of answer choices - Diversification of business risk - Diversification of social risk - Lower costs - Higher costs - Greater access to new potential customers this is confusing please help why is it important to involve representatives from all stakeholders in the disaster planning process? y the 1850s, when girls did go to school, they often studied a. mathematics. b. history. c. music or needlework. d. science. future growth in tourism in many of the eastern european, russia and cis countries could be severely constrained by negative factors of political instability, ethnic strife and rising crime levels. true or false Dos horas y media A cuntos minutos equivale? in the johnson family, its common for mom to vent to her teenage daughter about her less than satisfying sex life. this is an example of: Which of the following is not highlighted as a source of switching costs? Leverage and the Cost of Capital. The common stock and debt of Northern Sludge are valued at $70 million and $30 million, respectively. Investors currently require a 16% return on the common stock and an 8% return on the debt. If Northern Sludge issues an additional $10 million of common stock and uses this money to retire debt, what happens to the expected return on the stock? Assume that the change in capital structure does not affect the interest rate on Northern's debt and that there are no taxes. What nuclide is produced in thecore cf acollapsing giant star by eachoftre following reaction? Part 1 Scu-3" B - % 2-{870 Part 2 {zn- 18 = aiGa Part 3 Jisr -& P- %+8