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e-lub [12.9K]
3 years ago
12

What is the smallest number which has a reminder of 2 when it is divided by 6,7 and 8

Mathematics
1 answer:
Viktor [21]3 years ago
8 0

170 is the smallest number which has a reminder of 2 when it is divided by 6,7 and 8

<u>Step-by-step explanation:</u>

The Least or Lowest Common Multiple (LCM) or Least Common Divisor (LCD).

For two integers a and b, denoted LCM (a, b), the LCM is the smallest positive integer that is evenly divisible by both a and b. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set. Let find LCM of 6, 7 and 8.

             6=2 \times 3

             8=2 \times 2 \times 2

             7=7 \times 1

             L C M=2 \times 2 \times 2 \times 3 \times 7=168

We add 2 to LCM to get the smallest number which gives a remainder of 2.

So, the number is 168+ 2 = 170

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juan worked 2.5 hours each day from monday through friday plus 7.5 hours on saturday. his total pay was 128 dollars. how much di
Lyrx [107]
Juan earned $6.40 per hour. Because he worked 12.5 hours monday through friday plus the extra 7.5 hours on saturday which equals 20. And 128 divided by 20 is 6.40
4 0
3 years ago
Two sides of a triangle are 12 and 15. Which inequality represents the solution to finding x, the third side.
Vikentia [17]

Answer:

the other side would be 15

Step-by-step explanation:

because 15 is bigger than 12 and the 12 is the bottom line and then the other line going up is 15 so it's equal.

4 0
2 years ago
In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a
slava [35]
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
6x-42=3x+15\\3x=57\\x=19

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = 6(19)-42=72
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
6 0
3 years ago
To which set or sets does the number 12 belong? real numbers and natural numbers only real numbers, whole numbers, and integers
almond37 [142]
First off, let's take a look at what these numbers are:

Real numbers: It can be any numbers,both rational and irrational.

Natural numbers: The number has to be integer and positive.

Integers: A number without fraction or demical place.

Whole number: The number has to be natural and cannot be negative.

Therefore, as 12 is a positive number with no demical place or fraction, it is real numbers,integers, whole numbers, and natural numbers.

Hope it helps!
5 0
3 years ago
HELP ME PLEASEEEEE i need this now
OleMash [197]

Answer:

195 yd^2

Step-by-step explanation:

Formula: A = \frac{pq}{2}

p = 7.5 + 7.5 = 15

q = 13 + 13 = 26

A = \frac{26*15}{2}

A = 195

5 0
2 years ago
Read 2 more answers
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