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Alecsey [184]
2 years ago
13

Find the smallest positive integer that has a remainder of 2 when divided by 4 and remainder of 3 when divided

Mathematics
1 answer:
mestny [16]2 years ago
4 0

Answer:

18

Step-by-step explanation:

Hello

The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(

Now 5x+3=4y+2

ie 5x +1 =4y

we need to give the lowest pair of values to x and y such that the last equality is satisfied.

By trial, x = 3 and y = 4

thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18

I hope it has helped you.

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A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data
PilotLPTM [1.2K]

The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

Learn more about probability here;

brainly.com/question/11234923

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8 0
2 years ago
A coin is flipped three times, and the following list shows the possible outcomes.
ahrayia [7]

Answer:

3 outcomes

Step-by-step explanation:

question asks only 1 head therefore THT, TTH, HTT

5 0
2 years ago
It costs $11.18 to buy 13 cans of cranberry sauce. If the cans all cost the same amount, what is the price of each can?
AnnyKZ [126]

Answer:

Each can costs $0.86

Step-by-step explanation:

We find the unit price by dividing the cost by the number of cans.

11.18/13 = 0.86

I hope this helped and please mark me as brainliest!

8 0
2 years ago
Read 2 more answers
What is the slope of the graph?
VMariaS [17]

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

m=\frac{10-5}{4-2}

Simplifying, we get;

m=\frac{5}{2}

m=2.5

Thus, the slope of the given graph is 2.5

8 0
3 years ago
What is the range of possible sizes for side x?
faust18 [17]
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
6 0
2 years ago
Read 2 more answers
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