Answer: 24 days
Step-by-step explanation:
Sandy plays tennis once every 6 six days while Jim plays tennis once every 8 eight days.
To get the number of days they will play on the same day again, we find the lowest common multiple for the numbers.
The lowest common multiple is the smallest positive integer which is evenly divisible by both 6 and 8.
6 = 6, 12, 24, 30
8 = 8, 16, 24, 32
The lowest common multiple is 24.
In 24 days, they will play on the same day again
If you move the decimal point left until it is just to the right of the most-significant digit, the number of places you moved it is the power of ten that your new number is multiplied by.
Then multiplication can proceed in the usual way, taking into account the rules of exponents.
Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
Answer:
9
Step-by-step explanation:
If I’m understanding you correctly, the answer would be nine. Any number with a 9 in the one’s place (unit digit) would still have a nine in that place after being cubed.
29³=24,389
69³=328,509
If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:
averages: 56.4, 59.8, 55.8
the number of values: 3
arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33
geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31
harmonic mean:
3 / (1/56.4 + 1/59.8 + 1/55.8) = 57.28
