Answer:
x = 4.6439
Step-by-step explanation:
2^x =25
Take the log of each side
log 2^x = log 25
We know that log a^b = b log a
x log 2 = log 25
Divide each side by log 2
x = log 25 / log 2
x =4.643856
Rounding to 4 decimal places
x = 4.6439
You just take the number of the color of interest (green) and divide by total marbles
9/35 = 0.257 ~~ 25.7%
Answer:
The runner's unit rate is 0.09 miles/minute.
Step-by-step explanation:
Given:
Distance cover by runner = 8 miles and the time taken = 92 minutes.
Now, to calculate the runner's unit rate.
We put the formula to get the unit rate:
Velocity = distance/time
v = 0.09 miles/minute (approximately)
Therefore, the runner's unit rate is 0.09 miles/minute.
Lengths of corresponding sides of similar polygons are in proportion.
That means that 2 is to 3 as 7 is to x where x is the length of the side of the other
triangle.
2/3= 7/x
2x = 21
x = 21/2 = 10 1/2
Answer: b) 10 1/2