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adelina 88 [10]
3 years ago
13

If a gym class is divided into 4 equal teams, 2 students have to sit out; 5 teams, 1 student has to sit out; 6 teams, 4 students

have to sit out. If there are fewer than 70 people in the class, what is the minimum number of students that need to be added so that the class can be divided into 4,5, and 6 equal teams with no students sitting out?
Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

x = number of students in the class

"there are fewer than 70 people in the class"

x < 70

x must be divisible by 4,5 and 6.

x must be a multiple of 5

x can't end with a 5, because it won't be divisible by 4 or 6. This means x must end with a 0.

List the multiples of 6 and 4 till you find their highest common factor.

x = 60

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Which expression is equivalent to ( 11 x − 8 ) + ( 7 − 4 x ) ?
dlinn [17]

Answer:

7x-1

Step-by-step explanation:

Use commutative property:

(11x-4x) + (-8+7) = 7x-1

6 0
2 years ago
A recipe call for 3/4 c of chopped pecans Brent wants to triple the recipe . Which numerical expression represents the amount of
mrs_skeptik [129]

Answer: 2 1/4

Step-by-step explanation:

From the question, we are told that a recipe call for 3/4 c of chopped pecans

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The numerical expression that represents the amount of pecans he will need will be gotten by multiplying 3/4c by 3. This will be:

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2 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
7 0
3 years ago
Read 2 more answers
Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show
sweet [91]
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring. 
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:


The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
7 0
3 years ago
The ten students in a club are lined up in a row for a group photograph. How many different arrangements are possible if the clu
larisa [96]

It's 10!/3! so its 604, 800.

3 0
3 years ago
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