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IgorLugansk [536]
3 years ago
14

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? E

xplain or show your reasoning.
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

Diego is correct.

He has correctly divided 1 in groups of \frac{5}{6}.

Step-by-step explanation:

The question 'How many groups of 5/6 are in 1?'  means that we need to divided 1 into groups of \\frac{5}{6}.

When we form groups from a given total, we divided the total by the size of the group.

If we are dividing N number of people in groups of x number of people, then the expression to find the number of groups formed can be given as:

⇒ \frac{N}{x}

For this question the data given is:

N=1

x=\frac{5}{6}

So, the number of groups formed can be given as:

⇒ \frac{1}{\frac{5}{6}}

When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.

⇒ 1\times\frac{6}{5}

⇒ \frac{6}{5}

In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.

On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:

⇒ 1\frac{1}{5}

Thus, there are \frac{6}{5} or 1\frac{1}{5} groups in 1. This matches with Diego's answer and hence he is correct.

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Answer:

c

Step-by-step explanation:

4 0
3 years ago
∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
Georgia [21]

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

8 0
2 years ago
Anyone know the answer
Arlecino [84]

Answer: A: 2


Step-by-step explanation:

In order to find the slope of the line, you must know about rise/run, which means that you go up and over to your next point. For example: I started at the point 0,-4 and went up two and to the right one to the point -2,1, which i rose 2 and ran 1, or 2/1, which equals 2

3 0
3 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
Alja [10]

The value that could replace variable x in the table is (15 - m)8

<h3 /><h3>How to the value of x in an expression ?</h3>

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

learn more on variable here: brainly.com/question/12798965

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2 years ago
12 meter multiplied by 1.5 meters​
VladimirAG [237]

the answer is 18 meters

5 0
3 years ago
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