In order to solve this problem, the approach should be formulating equations such that they form a system of linear equations. Let's start by assigning variables. Let x be the number of homeruns made by Peter, and y be the number of homeruns made by Alice. Therefore,
x = 2(y - 6)
This is the equation for the relationship between Peter's and Alice's hits. The second equation would be the sum of their hits:
x + y = 18
These are the two independent equations in order to solve the two unknowns, x and y. Substituting the first equation into the second equation,
2(y - 6) + y = 18
2y - 12 + y = 18
3y = 18 + 12
3y = 30
y = 10
Using y=10 to the first equation:
x = 2(10 - 6)
x = 8
Therefore, Peter made 8 homeruns, while Alice made 10 homeruns for a total of 18.
Answer:
3 days
Step-by-step explanation:
do this when its a percent move the decimal twice to the left so now its .10 multiply it by 30 days
Correct the whole #s 4 x4 is 16 and the whole #s 5 x5 is 25 so 2 #s that are 4 and something x4 and something will be over 16 and if the numbers are less than 5 it can not be greater than 25
Answer:
101 revolutions
Step-by-step explanation:
Given: The diameter of the bike wheel is 19 inches.
We need to find the circumference of the wheel.
The circumference of the wheel = πd
π = 3.14 and d = 19
Now plug in these values in the above formula, we get
The circumference of the wheel = 3.14*19
= 59.66 inches
We need to find number of revolutions of wheel to cover the distance of 500 feet.
Now we have to convert 500 feet to inches.
1 foot = 12 inches.
500 feet = 500 *12 = 6000 inches.
The number of revolution = 6000 / 59.66
= 100.56
When we round of to the nearest whole number, we get 101
To cover the distance of 500 feet, the wheel must be rotate 101 times.
