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muminat
3 years ago
12

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?
A) 5% B) 15% C) 25% D) 35% E) 45%
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0

Answer:

The answer is option A : 5%

Step-by-step explanation:

We have the following information in percentage:

Employees taking winter vacation= 75

Employees taking both winter and summer vacation= 40

Employees taking none vacation = 20

We can assume the situation as following:

Winter + Summer - Both + Neither = 100

We get;

75 + Summer - 40 + 20 = 100

So, summer = 45

45 people take vacations in summer. But 40 of them take vacation in winters too.

So, people taking vacations in summer but not winter means summer only.

This is : 45-40=5%

Therefore, the answer is option A : 5%

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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

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1 year ago
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