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ruslelena [56]
3 years ago
6

Match the two numbers with their least common multiple (LCM).

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

We have to find the LCM of the given numbers and match then with their options given.

LCM of 10 and 4

factors of 10 = 2 × 5

factors of 4 =  2 × 2

LCM = 2 × 5 × 2 = 20         Matches (C)

LCM of 10 and 6

factors of 10 = 2 × 5

factors of 6  = 2 × 3

LCM = 2 × 3 × 5 = 30           Matches (A)

LCM of 10 and 8

factors of 10 = 2 × 5

factors of 8 = 2 × 2 × 2

LCM = 2 × 5 × 2 × 2 = 40      Matches (B)

eduard3 years ago
7 0
LCM:
10:  0,10,20,30,40,50
4:  0,4,8,12,16,20
ANSWER IS 20

LCM:
10:  see above numbers
6:  0,6,12,18,24,30
ANSWER IS 30

So, 10 and 8 would be 40
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<h3>Answer:   x = 6</h3>

======================================================

Work Shown:

\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\

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3 0
3 years ago
Bess has $2.80 in quarters and dimes. The number of dimes is 7 less than the number of quarters. Find the number of quarters and
Nezavi [6.7K]

Answer:

3 dimes and 10 quarters

Step-by-step explanation:

If you add 7 dimes, then the number of dimes and quarters is the same, and the total increases to $3.50. A dime and a quarter have a value together of $0.35. Since there are equal numbers, the value $3.50 must be made up of some quantity of groups with a value of $0.35. That number of groups must be ...

... $3.50/$0.35 = 10

Thus, there are 10 quarters and 10-7 = 3 dimes.

_____

<em>Using an equation</em>

Let q represent the number of quarters. Then the amount Bess has is ...

... 0.10(q -7) +0.25q = 2.80

... 0.35q - 0.70 = 2.80

... 0.35q = 3.50 . . . . . add 0.70 . . . . . . . this should look familiar

... q = 3.50/0.35 = 10

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3 years ago
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Marina86 [1]

\huge \mathbb \pink{HELLO }

\sf \green{1  + 1 \: is \: 2}

\huge \mathcal \orange{HAVE \: A \: GOOD \: DAY }

6 0
1 year ago
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