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krek1111 [17]
3 years ago
6

Mrs. Winston asks four students in her math class to find the least common multiple of 6 and 10. The students place their answer

s on the board. Which student answers the question correctly? *
Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer:

Step-by-step explanation:

The word "multiple" is in least common multiple.  A multiple of a number is a number you get by multiplying by another number.  Take the number 3 for example, since 3*2 = 6, then 6 is a multiple of 3.  3*3 = 9, so 9 is a multiple of 3.  3*4 = 12, so 12 is a multiple of 3, etc.

For our problem, if we want to find the LCM (least common multiple) of 6 and 10, start with the highest number and begin the multiplication process.  10*2 = 20.  So we know that 20 is a multiple of 10, but if 6 doesn't go into 20 evenly, then 20 is not a multiple of 6.  And 6 does not go into 20 evenly, so 20 isn't the LCM of 6 and 10.  

10*3 = 30, and 6 DOES go into 30 evenly (5 times) so 30 is the LCM of 6 and 10

Andreas93 [3]3 years ago
6 0

Answer:30

Step-by-step explanation:

Find the prime factorization of 6

6 = 2 × 3

Find the prime factorization of 10

10 = 2 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 3 × 5

LCM = 30

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Suppose that a monopolist
daser333 [38]

Answer:

The monopolist's net profit function would be:

N(y)=198\,y\,-\,2.5\,y^2

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

P(y)=200-2y

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2

5 0
3 years ago
Two consecutive odd integers have a sum of 32. Find the integers.
bezimeni [28]
Let
x = first consecutive odd
x + 2 = second consecutive odd

Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.
6 0
3 years ago
Ms. Smith is making 10 snack packs with 1 apple
avanturin [10]

Step-by-step explanation:

1snack pack cost 1.6dollars($0. 6+$1)

10snack pack cost 16dollars.

($0. 6+$1)×10 =/ unequal $9

6 0
2 years ago
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the t
puteri [66]

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

4 0
3 years ago
Find two consecutive even integers whose product is 288
Trava [24]
So I’m going to solve this using algebra OK?
So what you do is take the first integer as X.
Then we know that x(the first number) + X+2(the second number) is 288 right?
So we solve that saying x+x+2=288.
So 2X+2=288
2X+2-2=288-2 right?
So 2X=286.
So x is 286/2 right?
So x is 143.
Now the first number is 143 right?
So the second number should be 143+2 so 145.
I know they are not even but these are the solutions.
I don’t think there are any consecutive even numbers that add up to 288
6 0
3 years ago
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