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Feliz [49]
2 years ago
12

A survey of students at a university shows that 4 out of 5 drink coffee. Of the students who drink​ coffee, 1 out of 6 adds crea

m to it. If the university has 18,000 ​students, find the number of students who drink coffee with cream.
How many students drink coffee with​ cream?
Mathematics
1 answer:
Andru [333]2 years ago
6 0
The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
_____
Alternate solutions
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200
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Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In
Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.  Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

  • <u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score)  and the relation is a function.

3 0
2 years ago
I need help factoring something
ElenaW [278]

Answer:

x^4

Step-by-step explanation:

Hope this is right ! :)

3 0
2 years ago
Plz help PLZ I BEG U
spin [16.1K]

Answer:

y = 2x + 0

Step-by-step explanation:

the formula is y = mx + b

m = slope = change in y/change in x = (84 - 76)/(42 - 38) = 2

Slope is 2.

b is the y-intercept, which is the coordinate when x = 0. To find b, substitute any coordinate from the table. Let's use (38, 76)

y = 2x + b

76 = 2(38) + b

76 = 76 + b

b = 0

So the equation is y = 2x + 0

6 0
2 years ago
Read 2 more answers
Select the correct answer.
laila [671]

The answer is B, hope this helps


5 0
3 years ago
Solve the equation 5.5g+3=2.5g+9
Hoochie [10]

Answer: g=2

Step-by-step explanation:5.5g+3=2.5g+9

We move all terms to the left:

5.5g+3-(2.5g+9)=0

We get rid of parentheses

5.5g-2.5g-9+3=0

We add all the numbers together, and all the variables

3g-6=0

We move all terms containing g to the left, all other terms to the right

3g=6

g=6/3

g=2

8 0
3 years ago
Read 2 more answers
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