U= the 100 people surveyed A= the 60 people that like coca-cola B= the 55 people that like Pepsi C= the 30 people that liked neither

Answers

Answer 1

Answer:

45 people that like both

Step-by-step explanation:

Given

[tex]U = 100[/tex]

[tex]A = 60[/tex] --- coca-cola

[tex]B = 55[/tex] --- Pepsi

[tex]C = 30[/tex] --- None

Required

People that like both

Represent this set of people with x.

To solve for x, we have:

Total = Coca-Cola only+ Pepsi only + Both + None

Mathematically, we have:

[tex]U = (A- x) + (B - x) + x + C[/tex]

This gives

[tex]100 = (60- x) + (55 - x) + x + 30[/tex]

Remove brackets and collect like terms

[tex]100 = 60+ 55+ 30- x - x + x[/tex]

[tex]100 = 145- x[/tex]

Collect like terms

[tex]x= 145- 100[/tex]

[tex]x= 45[/tex]


Related Questions

Me ayudan con el problema dice Arturo compro 6 quesos de 1/4 de Kg cada uno Cuantos Kg de queso tiene?

Answers

Answer:

1 1/2 kg de queso

Step-by-step explanation:

De la pregunta anterior, sabemos que:

1 queso = 1/4 kg

6 quesos = x kg

Multiplicar cruzada

1 queso × x kg = 6 quesos × 1/4 kg

x kg = 6 quesos × 1/4 kg / 1 queso

x kg = 3/2 kg

x kg = 1 1/2 kg de queso

The ratio of the length of the toucan’s bill to the length of its body is 1 inch to 3.5 inches. If the bill is 7 inches, how long is the body?

Answers

Answer:

24.5 inches

Step-by-step explanation:

The ratio of the length of the toucan’s bill to the length of its body can be expressed as

(1: 3.5)

Then if the bill is 7 inches, then the Length of the body will be X

1: 3.5

7: X

If we cross multiply, we have

X= 7×3.5

X= 24.5

Hence, the Length of the body is 24.5 inches

Use the distributive property to writer an equivalent expression 4(7u + 4w - 8)

Answers

Answer:

28u+16w-32

Step-by-step explanation:

Distributive property means you multiply everything on the inside of the parentheses by everything on the outside so....

4(7u)=28u

4(4w)=16w

4(-8)=-32

(28v + 16w)- 32......

Find x then calculate the measure (geometry)

Answers

Answer:

3

Step-by-step explanation:

Angles ( 17x - 1 ) and ( 15x + 5 ) are alternate interior angles.

Alternate interior angles are equal.

17x - 1 = 15x + 5

17x - 15x = 5 + 1

2x = 6

x = 6 / 2

x = 3

HELP ME PLZ!!!!!!!!!!!!!!!!!!!

Answers

Answer:

64°

Step-by-step explanation:

64°

Drag the green point on the tape diagram to model a discount of 27%.

If the discount is 27%, then what percent of the original price do you pay?

Answers

Answer:

73%

Step-by-step explanation:

Let us have the original price as $100

A discount of 27% will be;

27/100 * 100 = $27

so, the value to be paid will be $100 - $27 = $73

Now, what percentage of $100 is the $73 that was paid

that would be;

73/100 * 100% = 73%

What is 150 mm in meters (m)?

Answers

Answer:

1.5 meters

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Kilo

Hecta

Deca

Base (1.5)

Deci |/10

Centi |/10

Mili (150)

What is the volume of the following solid figure?

21 in.3
42 in.3
56 in.3
6 in.3

ANSWER FAST PLEASE!

Answers

Answer:

Solution given:

for triangle

base=3in

height=2in

and

length=7in

we have

Volume of triangular pyramid=area of triangle *length

=½(base*height)*length=½(3*2)*721in³

21in³ is a required volume.

Height of base

√2.5²-(3/2)²√2.5²-1.5²√6.25-2.25√42

Area of base

1/2BH1/2(2)(3)3in²

Volume

Area of base×Height3(7)21in³

Dana is planning the school picnic and needs to decide what food vendor to
use. She asks 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothles Total
Eighth-graders 180
120
300
Ninth-graders
110
90
200
Total
290
210
500
What is the relative frequency of eighth-graders who want fruit smoothies?
A. 0.36
B. 0.24
C. 0.22
D. 0.12

Answers

Answer:

0.24

Step-by-step explanation:

Total = 500

8th Grade, Fruit Smoothie = 120

120 ÷ 500 = 0.24

= 0.24

The answer is 0.24:)))))

A manufacturer of spiral notebooks finds that about 8 out of every 500 notebooks are defection. if they produce 2,500 notebooks every day, how many defective notebooks can they expect to find during a 5 day work week?
LINKS AND FUNNY COMMENTS WILL BE REPORTED!

Answers

Answer:

200 notebooks

Step-by-step explanation:

Provided Information:

1) 8 out of every 500 notebooks contain a defect

2) 2500 notebooks are produced per day

We need to find out how many defective notebooks are produced per day:

1) 2500 ÷ 500 = 5

2) 8 x 5 = 40

Next we need to find out how many notebooks are defective per week:

1) 40 x 5 = 200 defective notebooks per week

if you dont know pls dont give wrong answer

what is the measure of angle b

Answers

60 degrees because 180 divided by 3 would equal 60

determine the intercepts of the line.

Answers

X intercept- (-40,0)
Y intercept- (0,15)

Please help me with this math problem it’s due today

Answers

Answer:

B.

Step-by-step explanation:

We know that the graph has to go down by 6 units. Therefore, the y-value is (?,-6). Because this is a quadratic function, the numbers inside the parenthesis show if the point goes right or left. If it is negative, it goes right, if it is positive, it goes left. Therefore, the number has to be -5.

Please mark as brainliest if this helped you

B

Step-by-step explanation:

A and C is translating to the left. B and D is translating to the right, however,  D is 5 right and 6 left. B makes the most sense out of all of the options

Find the length ST.

Help pleaseeee

Answers

Answer:

answer is 7.1

Step-by-step explanation:

because we are doing cos of 42 which equals × ÷9.5

so × = 9.5 times cos(42) which rounds to 7.1 so × is 7.1

Benjamin buys 15 loaves of bread that are each 1.24 kg.
Benjamin says he bought 18.6 kg of bread.

Use estimation to show that his answer is reasonable.

Drag the numbers into the boxes to complete the number sentence.

____x____= kg
1 2 15 30 100 125 200 1500 1875 3000

Answers

Answer:

See below.

Step-by-step explanation:

1.24 is approximately 1 and 1 quarter.

1/4 of 15 is 3.75

15 + 5.75 = 18.75

His answer, 18.6 is close to 15.75, so it is reasonable.

The angle facing the shortest length in a triangle is
A. A right angle
B. An acute angle
C. An opposite angle
D. The smallest angle

Answers

Answer: To be honsest i think it is C.) "Opposite angle" because the shortest side is always opposite the smallest interior angle.

Please help with these questions. Write answer for 19 and 20 thank you

Answers

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

Henry ran 108 minutes in the 6 days he's run so far. In the six days, he took 21,600 steps. How many steps did he take per minute?

a. 1,200 steps
b. 1,500 steps
c. 1,000 steps
d. 1,150 steps ​

Answers

A because your gay and your parents do not love you

1. Write a story to match the equation x + 2 1/2 equals 10

Answers

x=0.5. so therefore here is your answer

solve x (PLEASE HELP!!)
(10x-4)
---------- = 20
5

Answers

Answer: 10.4

Step-by-step explanation:

10x-4/5 = 20

10x-4 = 100

10x = 104

x = 10.4

Answer:

10.4

bdhehehjekwjehege

If x^(2) = 64 and y^(2)= 121 what is the value of x-y?

Answers

Step-by-step explanation:

the value of x is 8

8^(2) = 64

the value of y is 11

11^(2) = 121

x - y

= 8 - 11

= -3

#CMIIW

help please really don’t know what the answers is

Answers

Answer:

No

Step-by-step explanation:

The Side-Angle-Side rule of congruence

two triangles are congruent if two sides and one included angle in a given triangle are equal to the corresponding two sides and one included angle in another triangle.

the answer is nooooooooo

Jaden is comparing two cones. The radius of the base of cone AA is twice as large as the radius of the base of cone BB. The height of cone BB is twice the height of cone AA. The volume of cone AA is

Answers

Answer:

VA = 2/3πrB²hB

Step-by-step explanation:

Let the volume of cosA ad cone B be expressed as;

Va = 1/3πra²ha

Vb = 1/3πrb²hb

If the radius of the base of cone A is twice as large as the radius of the base of cone B

rA = 2rB

If the height of cone B is twice the height of cone A, then;

hB = 2hA

hA = hB/2

Recall that;

VA = 1/3πrA²hA

VA = 1/3π(2rB)²(hB/2)

VA = 1/3π*4rB²(hB/2)

VA = 2/3πrB²hB

This gives the volume of cone A

help please for big points​

Answers

Answer:

B) 0.004 4.0x10^-3....

James went out for. a long walk . he walked 3/4 mile and then sat down to take rest. then walked 1/8 of a mile how far did he walk altogether

Answers

Answer:

7/8 mile

Step-by-step explanation:

3/4 = 6/8

6/8+ 1/8 = 7/8

4 cans of orange juice and 7 cans of apple juice are in a sports bag what is the probability of drawing out one can of apple juice without looking?
write your answer as a decimal rounded to two decimal places.
(hint: count the possible outcomes in favorable outcomes then set up a fraction and convert it to a decimal)​

Answers

I’d say the answer is 64% because. 7+4 is 11 there is 7 cans of apple juice the fraction is 7/11. Which simplifies to 0.636 which rounded 0.64 moved two places is 64%

in basketball, steph curry is a 90.31% free throw shooter. IN a random game, he attempted 12 free throws. What is the probability that he made at least10 out of the free throws

Answers

Answer:

0.8969

Step-by-step explanation:

This can be solved using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

p = 0.9031

Number of trials, n = 12

q = 1 - p =0.0969

x ≥ 10

P(x ≥ 10) = P(x= 10) + p(x = 11) + p(x = 12)

P(x = 10) = 12C10*0.9031^10 * 0.0969^2 = 0.2236

P(x = 11) = 12C11 * 0.9031^11 * 0.0969^1 = 0.3790

P(x = 12) = 12C12*0.9031^12 * 0.0969^0 = 0.2943

P(x ≥ 10) = (0.2236 + 0.3790 + 0.2943)

P(x ≥ 10) = 0.8969

WHATS THE AREA?
GEOMETRY HELP/10 POINTS

Answers

Answer:

8.1

Step-by-step explanation:

3(1.1+4.3)/2=8.1

A cross section of a rectangular pyramid is made perpendicular to the base and through the vertex as shown. What is the area of the cross section?
A 96 cm squared
B 60 cm squared
C 40 cm squared
D 20 cm squared

Answers

Answer:

20 cm²

Step-by-step explanation:

1/2(5 x 8 ) = 1/2 ( 40 )= 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the value of X in the following diagram. Here, B and D are points of tangency.

Answers

Theorem: Tangent segments from the same external point are congruent
So the two expressions you can set equal to each other

3x+10= 7x-6
-3x -3x

10= 4x-6
+6 +6

16= 4x

X=4
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