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k0ka [10]
3 years ago
5

Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without r

emainder. Find the greatest possible length of the pieces.
Answer: _ feet
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

The greatest possible length of the pieces is 5 feet

Step-by-step explanation:

Red = 415 feet

Green = 780 feet

Find the greatest possible length of the pieces.

Find the Highest common factor

415 = 1, 5, 83, 415

780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780

The Highest common factor of 415 and 780 is 5

The greatest possible length of the pieces is 5 feet

Red = 415/5

= 83 pieces

Green = 780/5

= 156 pieces

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$5.25

Step-by-step explanation:

35% of $15 is $5.25

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The average rate of change of f(x) is greater than ​g(x)​ on the interval [0,3]

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3 years ago
2x + 6y= 8<br> 4x + 12y = 16
Korolek [52]

Answer:

x=0 , y=0

Step-by-step explanation:

2x +6y= 8 .....eqn 1

4x +12y= 16....eqn2

we multiply eqn 1 by 2.. because we want at least one variable to have the same coefficient so we can simply.

2x +6y =8... ×2

will give you 4x +12y = 16....eqn 3

so now we subtract eqn 2 from eqn 3

4x + 12y= 16

- 4x + 12y = 16

_____________

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3 0
3 years ago
24 pens either red or blue ratio of red to blue 5:1 how many pens are red and how many are blue
Angelina_Jolie [31]

Answer:

20 red pens

4 blue pens

Step-by-step explanation:

red to blue

 |           |

\/          \/

5    :      1

5+1=6

24/6=4

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4 0
3 years ago
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A whole number from 1 to 15 inclusive is picked at random.
Helen [10]

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

  • 3/5

8 0
3 years ago
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