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docker41 [41]
3 years ago
13

Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 ti

mes as many messages as
Keiko. How many messages did they each send?
Mathematics
1 answer:
mylen [45]3 years ago
4 0

Answer:

Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Step-by-step explanation:

Let x represent the number of messages that Keiko sent.

Since Dale sent 7 less than Keiko, his number can be represented by x - 7

Since Tony sent 4 times as many as Keiko, his number can be represented by 4x

Using these variables, create an equation:

(x) + (x - 7) + (4x) = 95

Add like terms and solve for x:

6x - 7 = 95

6x = 102

x = 17

So, Keiko sent 17 messages.

Subtract 7 from this to find how many Dale sent:

17 - 7

= 10

Multiply it by 4 to find how many Tony sent:

17(4)

= 68

So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

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Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

C_{n,x} = \frac{12!}{4!(8)!} = 495

495 combinations of 4 students can be selected.

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3 years ago
Mr. Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, then how much is his overall budg
Fynjy0 [20]

Answer:

5000 dollars

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2 years ago
What is the y-intercept of the line given by the equation y = 3x - 11?
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Answer:

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Step-by-step explanation:

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