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EastWind [94]
3 years ago
14

6th grade math both please

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

Answer:

5. 6 baskets

6. 4 inches

Step-by-step explanation:

Both of these questions are about the Lowest Common Multiple <em>(LCM)</em>.

5. The first thing we need to do is make the numbers so that they are split into only the prime multiples.

So,

30 = 2 * 3 * 5

and

42 = 2*3*7

Now that we've done that, the next step is to see which numbers are common in both of them. This will be the LCM of the two numbers.

so the answer =2*3 = 6

This will have 5 sandwiches and 7 cookies in each basket.


6. Similarly here, we need to do the same thing and split them.

So,

52=2*2*13

and

64=2*2*2*2*2*2.

The two multiples that are common are 2*2 = 4, so they will be 4 inches.

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For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?
NARA [144]

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

8 0
2 years ago
If f(x) = 0, what is x?<br><br> 0 only<br> –6 only<br> –2, 1, or 3 only<br> –6, –2, 1, or 3 only
Angelina_Jolie [31]

Answer:

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8 0
3 years ago
Simplify each radical
const2013 [10]

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

8 0
2 years ago
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Maslowich
Is this a glitch or I don’t see a question? I only see dots “……”
4 0
2 years ago
I need help with my super haaaaaaaaaard work
Flauer [41]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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