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Allushta [10]
3 years ago
10

Together, Dulcina and Hannah have 78 refrigerator magnets. Hannah has 2 times as many refrigerator magnets as Dulcina. How many

refrigerator magnets are in Hannah's collection? How many refrigerator magnets are in Dulcina's collection?
Mathematics
1 answer:
tester [92]3 years ago
4 0
Set up a system of equations
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What is the least common multiple of 15 and 8?
Arturiano [62]
O get the Least Common Multiple (LCM) of 15 and 8 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: 

<span><span>15:      35</span><span>8:   222  </span><span>LCM:   22235</span></span>

<span>The Least Common Multiple (LCM) is:   2 x 2 x 2 x 3 x 5 = 120</span>

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By using the remainder theorem, determine the remainder when
Greeley [361]

Answer:

-123

Step-by-step explanation:

The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.

When a polynomial P(x) is divided by x - c, the remainder is P(c).  In other words, to find the remainder, plug in c for x.

You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.

3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123

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