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Liono4ka [1.6K]
3 years ago
7

If Sachi, Sheryl, Shayla, Shannon, and Stephanie all want to sit on the back seat of the school bus, in how many different ways

can they arrange themselves?
Mathematics
1 answer:
SashulF [63]3 years ago
7 0
They can arrange 5 ways
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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.
6 0
3 years ago
I'm new to the app. Stumped on all of these
nekit [7.7K]
What are you stumped on?
3 0
3 years ago
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in eac
monitta
Find the greatest common factor
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3 0
3 years ago
16,000*0.09*5 sove this and pls show your work below math Question of th Day
Rainbow [258]

Answer:

720

Step-by-step explanation:

1600*0.09=144

144*5=720

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3 years ago
You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each perso
natulia [17]

Answer:

13

Step-by-step explanation:

I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking

6 0
3 years ago
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