Answer:Least common multiple ( LCM ) of 6 and 12 is 12. LCM(6,12) = 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Step-by-step explanation:
Answer:
Is exponential
Step-by-step explanation:
(B) Base: 3
B X Y
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
Answer:
$2,928
Step-by-step explanation:
Using the equation below, note that for days in which she worked more than hours, we will be multiplying the number hours worked over hours by
×
Let equal hours less than or equal to
Let equal the number of hours worked over hours.
Let equal gross earnings.
Start with an equation:
Monday:
Tuesday:
Wednesday:
Thursday:
Friday:
Saturday:
Now, total the gross earnings of each day.
Solve.
Answer:
Step-by-step explanation:
Answer:
a) 580 - 16n
b) 9850 - 271.72n
Step-by-step explanation:
a) starting number of bales = 580
each day, the farmer feeds out 2 bales of hay to each yard. he has 8 yards, so he feeds out 2 bales 8 times for a total of 2 * 8 = 16 bales. Therefore, he loses 16 bales each day
After the first day, he has 580-16 = 564 bales. After the second, he has 564-16 = 548 bales, and so on. He loses 16 bales n times for n days, and as a result, his final amount of bales is
original amount - amount lost = 580 - 16n
b)
First, we can calculate how much a bale weighs.
average = sum/count = 9850 kg / 580 ≈ 17 kg
Therefore, as he loses 16 bales of hay, he loses 17 kg 16 times, or approximately 271.72 kg of hay every day. For n days, he loses 271.72n kg. This brings his final amount to be
starting - amount lost = 9850 - 271.72n