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
katrin2010 [14]
3 years ago
7

In a survey one-forth like cake only and 20 didn't like cake at all. Also 50% children like ice cream but 12 like none of them.H

ow many like both?
Mathematics
1 answer:
Rudiy273 years ago
4 0

Answer:

2

Step-by-step explanation:

Let x represent the total number of people. Let C represent those that like cake and let I represent those that like ice cream. Given:

C = (1/4)x = 0.25x, I = 0.5x, (C ∪ I)' = 12, C' = 20

Therefore:

C ∩ I' = C' - (C ∪ I)' = 20 - 12 = 8

C ∩ I = C - C ∩ I' = 0.25x - 8

C' ∩ I = I - C ∩ I = 0.5x - (0.25x - 8) = 0.25x + 8

The total students = (C ∩ I) + (C' ∩ I) + (C ∩ I') + (C ∪ I)'

x = 0.25x - 8 + 0.25x + 8 + 8 + 12

x = 0.5x + 8 + 12

x = 0.5x + 20

0.5x = 20

x = 40

Students that liked both = C ∩ I = 0.25(40) - 8 = 2

You might be interested in
There are 9 cherry cokes, 3 diet cokes, and 4 coke zeros in a cooler. What is the proabiliyt of selecting a drink and getting a
Minchanka [31]
So there are 16 cokes in total...
the probability of selecting a cherry coke is 9/16
the probability of selecting a coke zero is 4/16
for there to be no replacement I guess you could combine diet cokes with coke zero because they are both cokes..
I don't know EXACTLY how to get the probability without a replacement.. sorry
5 0
3 years ago
Tomas works as an underwater photographer. He starts at a position that is 15 feet below sea level. He rises 9 feet, then descen
dalvyx [7]
-15+9=-6 --------> -6-12=-18
15 represents where he started, then he rises upward 9 and then gets to 6. Afterwards he goes down 12 and ends up at 18 which is 3 feet lower then where he originally started.<span />
7 0
3 years ago
Read 2 more answers
At the bowling alley, Alyssa records each bowler’s score and the weight of the bowling ball
IrinaVladis [17]

Answer:

b

Step-by-step explanation:

heavier ball by thw eight

3 0
3 years ago
Whoever helps me with this question gets points
ohaa [14]

Answer:

All triangles are open figures.f (60-60-60)

All triangles have 3 sides that are equal in length.f(3,4,5)

Only some triangles have 1 right angle.t

All triangles are polygons.t

All triangles have 3 angles.t

4 0
2 years ago
A) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c
kobusy [5.1K]

Answer:

A i. a:c=3:10

ii. a:b:c=2:5:10

B i. x:z=2:5

ii. x:y:z=2:4:5

Step-by-step explanation:

A.) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c

a:b=a/b=2/5

b:c=b/c=3/4

a/b*b/c=a/c

2/5*3/4=a/c

6/20=a/c

3/10=a/c

Therefore, a:c=3:10

a:b:c

a:b=2:5

b:c=3:4

b is common to both ratios

The value of b in the first ratio is 5 and b is 3 in the second ratio

Lets take the LCM of both values

LCM of 5 and 3=15

So, we will change the value of b in the first ratio and second ratio to 15

By doing this, we will multiply the whole first ratio by 3

We have, 6:15

We multiply the whole second ratio by 5

We have, 15:20

Therefore a:b:c=6:15:20

=2:5:10

B. If x:y = 1:2 and y:z = 4:5,

x:y=x/y=1:2

y:z=y/z=4:5

x/y*y/z=x/z

1/2*4/5=x/z

4/10=x/z

2/5=x/z

Therefore, x:z=2:5

x:y:z

x:y=1:2

y:z=4:5

y is common to both ratio

Take the LCM of y values in both ratio

LCM of 2 and 4 =4

So,we will change the value of y in the first and second ratio to 4

By doing this, we will multiply the whole first ratio by 2

We have, 2:4

We will also multiply the whole second ratio by 1

We have, 4:5

Therefore, x:y:z=2:4:5

8 0
3 years ago
Other questions:
  • Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ?(x) = 2x3 – 9x2 + 17x – 6
    14·1 answer
  • Which statement is a correct interpretation of the vertical line test? If only one vertical line intersects the graph at exactly
    14·1 answer
  • Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
    14·1 answer
  • What is the y-intercept of the line -5x 2y = 14?
    9·1 answer
  • jack pasler earns $30,940 annually as an accountant. He is married and supports 1 child. The state tax rate in his state is 4.5
    13·1 answer
  • A company that produces electronic components can model its revenue and expense by the functions R(x)= (125/(x^2-12x+61))+4 and
    10·1 answer
  • А О 130<br> The answer to 15 divide 375 what is the answer
    14·2 answers
  • Given the figure below, find the values of x and z.<br> (10x - 72)<br> X Х<br> 108°<br> z
    14·1 answer
  • In Circle YmAD = 68° and mBC = 156. Find mZ1
    10·1 answer
  • A jewelry store has 212.75 ounces of 14-carat gold in stock. (a) how many custom necklaces can be manufactured if each requires
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!