X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
Answer:
LCM(30;105)=210: least common multiple, calculated.
Step-by-step explanation:
30= 2x3x5
30 is not a prime, is a composite number;
105=3x5x7;
105 is not a prime, is a composite number;
*Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and Itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Answer:
1,008 pairs of earrings
Step-by-step explanation:
14 multiplied by 72 equals 1,008
Two tractor trailers would weigh 160,000 pounds, which is equal to 80 tons. 100-80= 20 tons that are still available.
Answer:
Step-by-step explanation:
<u>Minimum number of regions</u>
You may have 100 parallel lines. This will give us 101 regions
<u>Use following formula to find the maximum possible number of regions:</u>
- R(n) = 1 + n(n + 1)/2, where n is the number of lines
- R(100) = 1 + 100*101/2 = 5051