Answer:
35
Step-by-step explanation:
We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.
Apparently, the dad's age is 5·7 = 35.
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The GCF is 5; the LCM is 70 = 5×14.
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Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...
(2 [5) 7]
where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.
Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.
The equation e = 6 tells you for each box, e, there are 6 eggs. If she bought 4 boxes, you would be multiplying the number of boxes, 4, by e. That means:
4 x e
Now you need to set 4 x e equal to the total number of eggs she has now. Since you know e = 6 eggs, plug in 6 into 4 x e!
4 x e = ?
4 x 6 = 24
That means you complete equation is:
4 x e = 24
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Answer: <span>A) 4 × e = 24</span>
2x + 30 = -20x + 8
2x + 20x = 8 - 30
22x = -22
x = 1
Answer:
17
Step-by-step explanation:
3x + 2y = 3(3) + 2(4) = 9 + 8 = 17
