Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
A quotient is the result of a division.
Let the unknown number be x.
We translate the problem into an equation, piece by piece.
<span>"quotient of a number and seven" ----> x/7
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<span>"12 less than the quotient of a number and seven" ----> x/7 - 12
The word "is" means "="
x/7 - 12 =
All the above is -2, so it equals -2.
x/7 - 12 = -2
First, add 12 to both sides and simplify.
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Next, multiply both sides by 7.
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Answer: The number is 70.
Answer:
excuse me, but how do we answer this? This question is unanswerable without it being a question!
Step-by-step explanation:
In parallelogram LMNO, NO = 10.2, and LO = 14.7. The basic property of a parallelogram that the opposite sides in a parallelogram are equal; so, two sides are 10.2 (NO=LM=10.2), and two sizes are 14.7, = (LO=MN=14.7).
The perimeter of the parallelogram LMNO is:
P= 2NO + 2LO.
P= (2 x 10.2)+(2 x 14.7).
P= 20.4 + 29.4.
So, P= 49.8.