Answer:
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.
All we have to do is multiply the numerator by the other numerator and the denominator by the other denominator.
11•2=22
98•99=9702
They are both even, so we can divide by two with both numbers.
11/4851
4851 can be divided by 11. So we can divide the top and bottom by 11.
1/441 is the product.
Answer:
48 liters
Step-by-step explanation:
First container = x
Second container has twice as much oil.
Second container = 2x
13 liters of oil was used from first container.
x - 13
7 liters of oil was used from the second container.
2x - 7
Second container has 3 times more oil than the first one.
2x - 7 = 3(x - 13)
x - 7 = 3(x - 13)
x - 7 = 3x - 39
2x = 32
x = 16
First container = 16 liters
second container = 16 x 2 = 32 liters
Total = 16 + 32 = 48 liters
Answer:
The two numbers are 10 and 6.
Step-by-step explanation:
Let's begin by calling these two numbers x and y, and setting up a system of equations.
x-y=4
x*y=60
Now, you can rearrange the first equation to find the value of x expressed through y.
x=y+4
Now, you can substitute this into the second equation.
(y+4)*y=60
y^2+4y=60
y^2+4y-60=0
(y-6)(y+10)=0
y=6
x=6+4=10
Hope this helps!
