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Flura [38]
3 years ago
5

Jared and maila will usually both run 3 miles each time they go running .This month,jared ran an additional 21 miles. Which answ

er choice shows an expression that represent the total distance jared and malia ran this month if j=the number of time that jared ran and m=the number of times that malia ran?
Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

Total = m + j

= 3 + m + 21

Step-by-step explanation:

Mails = 3 miles

Jared = 3 miles + 21 miles

j = m + 21

m = 3

Total = m + j

= 3 + m + 21

Where,

m = 3

Total = 3 + m + 21

= 3 + 3 + 21

= 27

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Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants
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3 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
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case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

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Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

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The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

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we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

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Case 1 + case 2 = 324 + 2592 = 2916

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3 years ago
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