5x-5=4x+10
x=15
75-5=70
180-70=110
6y-4=110
6y=114
y=19
Let the distance of the first part of the race be x, and that of the second part, 15 - x, thenx/8 + (15 - x)/20 = 1.1255x + 2(15 - x) = 40 x 1.1255x + 30 - 2x = 453x = 45 - 30 = 15x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutesThe distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
<span><span>1.
</span>Give the scientific notation of 8.7 billion.
8.7 billion = 8 700 000 000
Scientific notation is the process of multiplying the given number by 10 to the
power of n.
Since billion has 9 zeros that’s equals
to 10^9
=> 8.7 x 10^9
let’s try solving this
=> 8.7 x (10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10)
=> 8.7 x 1 000 000 000
=> 8 700 000 000
Thus, our scientific notation of 8.7 billion is 8.7 x 10^9</span>
From the plot, we see that 
. Its conjugate would be 
, so that the product of the two is
More generally, note that if 
, then
Answer:
11/24
Step-by-step explanation:
You have to add 1/3 and 1/8 together to solve this problem. To do this make 1/3 and 1/8 have a common denominator of 24.
Multiply 1/3 by 8/8 and 1/8 by 3/3.
- 1/3 * (8/8) = 8/24
- 1/8 * (3/3) = 3/24
Now add these two fractions together.
8/24 + 3/24 = 11/24
Since this fraction cannot be simplified further, Trevor has 11/24 of a baseball card collection.
