1 year ago

Which expressions are equivalent to 2(4f+2g)-

Mathematics

1 answer:

musickatia [10]1 year ago

6 0

The correct is 8f+4g because 2*4=8 and 2*2 is 4

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Komok [63]

Answer:

1. A

2. C

3. D

4. B

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3 years ago

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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

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3 years ago

Ebert used to make $22 an hour, but got a 10% raise.How much more will he make in a 40 hour work week with the raise?

Scilla [17]

The answer is 968 if because of add

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3 years ago

Find the value of k,J, and h

alekssr [168]

Answer:

k=76

j=180-(90+76)=180-166=14

17h+13h=90

30h =90

h=3

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3 years ago

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madam [21]

Answer:

-2x^2-11x^3

Step-by-step explanation:

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2 years ago

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