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nexus9112 [7]
2 years ago
9

Two buses leave towns 1015 miles apart at the same time and travel toward each other. One bus travels 11 miles/hr slower than th

e other. If they meet in 7 hours, what is the rate of each bus?
Mathematics
1 answer:
kiruha [24]2 years ago
3 0

Answer:

Step-by-step explanation:

Bus One

speed = x

t = 7 hours

d = ?

Bus two

speed = x + 11

time = 7 hours

d1 = 1015 miles - d

Equations

d = s * t

Bus 1 + bus 2 = 1015

Solution

x * 7 + (x + 11)*7 = 1015

7x + 7x + 11*7 = 1015

14x + 77  =1015

14x + 77 - 77 = 1015 -  77

14x = 938

14x/14 = 938/14

x = 67 miles / hour

x + 11 = 78 miles / hour

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If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
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Answer:  

\frac{(L x M)}{6}

Step-by-step explanation:  

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.  

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

\frac{(L x M)}{6}


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3 years ago
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nirvana33 [79]

Answer:

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Step-by-step explanation:

5x+6=1

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Plz help with math thank you
Delicious77 [7]

Answer:

Step-by-step explanation:

Law of Sines  recall   Sin(A) /a  = Sin(B) /b  

does the above make sense?

Next we need to find  the angle of A

notice that 16+75=91  :o

so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180)  so this is NOT a right triangle but that's okay, b/c law of sines still works fine.

then we want to find length of line AB

and if 89 = A  then a = BC

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3 years ago
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