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umka21 [38]
3 years ago
14

What is the least positive integer divisible by the numbers 2, 4, and 7?

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

Answer:

Least positive integer divisible by the numbers 2, 4, and 7 is  28

Step-by-step explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

Prime Factorization of 2

2 is prime  =>  2^1

Prime Factorization of 4 is:

2 x 2  =>  2^2

Prime Factorization of 7 is:

7 is prime  => 7^1

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 7 = 28

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Two angles in a triangle are 30 degrees and 40 degrees. Find the missing angle measure. Please show your math work step by step
brilliants [131]

Answer:

110

Step-by-step explanation:

Hello There!

If you didn't know the rule about angles in a triangle is that they have a sum of 180

So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180

so the missing angle = 180 - 30 - 40

180 - 30 = 150

150 - 40 = 110

so the missing angle = 110

5 0
2 years ago
Can someone solve this its probably easy but i dont know
Rzqust [24]

Answer:

Step-by-step explanation:

A={26,30,32,44,48}

B={22,26,34}

A∩B=26

number of elements=1

elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}

number of elements  in ξ=14

P(A∩B)=1/14

I can't draw venn diagram but i give hint

A={30,32,44,48}+{26}

B={22,34}+{26}

A∩B={26}

6 0
3 years ago
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework? WILL MARK
Bess [88]
Assuming that x is the amount of hours spent doing homework:

Plug in 3 for x

y = 8(3)+40, y=64

That means that since a y value is the test score (because that's what the y-axis is labeled), your predicted test score is a 64.
8 0
2 years ago
you have a large tank filled with 175 gallons of water the tank springs a leak and water is pouring out at a rate of 5 gallons p
Len [333]
175/5= 35

The answer is 35 minutes.

Hope this helps!
3 0
2 years ago
Please help me, picture below.
Lesechka [4]
The answer is the last one, 8 square root 6 because when factoring out 486 you will get 9 square root 6. When factoring out 24, you will get 2 square root 6 and the 6 is already factored out. After that you add and subtract and you will get the last answer 8 square root 6. Hope that helped.
8 0
2 years ago
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