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MrRissso [65]
3 years ago
15

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 to 56

Mathematics
2 answers:
masha68 [24]3 years ago
3 0

Answer:

  5/7

Step-by-step explanation:

A common factor of 8 can be canceled from numerator and denominator.

  40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7

_____

Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.

__

If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...

  56 ÷ 40 = 1 r 16

  40 ÷ 16 = 2 r 8

  16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD

Now, your fraction is ...

  (40/8) / (56/8) = 5/7

Maurinko [17]3 years ago
3 0

Answer:

5/7

Step-by-step explanation:

40/56 both divided by 8 and that is how to get your answer because you can not simplify further

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Stock A changed by - $2,60 during the day. Stock B changed by 3
Slav-nsk [51]

Answer:

$7.80

Step-by-step explanation:

$2.60 * 3 = $7.80

5 0
3 years ago
Solve for x: 14-14x^1/3 =2
zmey [24]

Answer: 216/343 or 0.6297

Step-by-step explanation:

14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x

7 0
3 years ago
6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's ass
mina [271]

Answer:

9 1/9 per cousin

Step-by-step explanation:

if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.

since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9

4 0
3 years ago
There are 9 people that have a conversation with each other exactly one time.
Sedbober [7]

The question is an illustration of arithmetic sequence.

<em>The number of conversation for 19 people is 171</em>

<u />

<u>(a) 9 people</u>

Total = \frac{9 \times 8}{2}

9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

<u>(b) 19 people</u>

We have:

n = 19

The number of conversation is:

Total = \frac{n \times (n -1)}{2}

So, we have:

Total = \frac{19 \times (19 -1)}{2}

Total = \frac{19 \times 18}{2}

Total = 19 \times 9

Total = 171

Hence, the number of conversation for 19 people is 171

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
2 years ago
Is the given ordered pair a solution to the equation? <br><br><br> y=2x+7;(-2, 3)
iren2701 [21]

Answer:

The answer to your question is: Yes, it is a solution

Step-by-step explanation:

           

Point  (-2, 3)

                         Line:            y = 2x + 7

Process, replace the point in the line

                                          3 = 2(-2) + 7

                                          3 = -4 + 7

                                          3 = 3

As we got that 3 equals 3, then the point given is a solution of the equation.

               

5 0
3 years ago
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