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balandron [24]
3 years ago
6

Consider the set of ordered pairs (9, ), where I is the total value of q quarters in

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Using function concepts, it is found that:

  • The domain is: {0, 1, 2, 3, 4, 5, 6}
  • The range is: {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5}.

-----------------------------

  • The domain of a data-set is the set that contains <u>all possible input values.</u>
  • The range of a data-set is the set that contains <u>all possible output values.</u>

-----------------------------

  • The data-set is (n, 0.25n), in which the <u>input is the number of quarters n</u>, and the <u>output in the amount in dollars</u>, which is 0.25n, as each quarter is worth $0.25.
  • Up to $1.50, thus at most 6 coints, as \frac{1.5}{0.25} = 6

Thus means that:

  • The domain is: {0, 1, 2, 3, 4, 5, 6}
  • The range is: {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5}.

A similar problem is given at brainly.com/question/2145599

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Step-by-step explanation:

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Anastaziya [24]

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Step-by-step explanation:

25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.

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Nitella [24]

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

3. 2/8, 4/16, 3/12

4. 6/8, 9/12, 4/16

Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

6/16 = 3/8 (done by dividing both terms by 2)

4/10 = 2/5 (divide both by 2)

3/8 = 3/8 (fully reduced)

2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

3. This question is solved the same way as questions 1 and 2.

Step 1: reduce answer choices

3/8 = 3/8

2/8 = 1/4

4/9 = 4/9

2/7 = 2/7

4/16 = 1/4

10/14 = 5/7

6/9 = 2/3

3/12 = 1/4

4. This question is solved the same way as questions 1, 2, and 3.

Step 1: reduce answer choices

6/8 = 3/4

4/9 = 4/9

4/6 = 2/3

9/12 = 3/4

10/12 = 5/6

6/9 = 2/3

12/16 = 3/4

7/9 =7/9

7 0
2 years ago
Cual es la expresion decimal de - 18/3
lisabon 2012 [21]

Answer:

6

Step-by-step explanation:

You need to divide it.Then you get 18 divided by 3.Which is 6

3 0
3 years ago
A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25
Klio2033 [76]

Answer:

\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%

Step-by-step explanation:

Assuming the maximum score for the final is 100\%, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of 100\%, their overall grade for the course would be:

83(1-0.25)+100(0.25)=\fbox{$87.25\%$}.

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

83(1-0.25)+x(0.25)=75, where x is the minimum score she needs.

Solving, we get:

62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}.

8 0
3 years ago
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