Answer: 
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
We need to multiply the bottom by 5 to get to 25
5*5 = 25
What we to the bottom, we do the the top
2/5 * 5/5 = 10/25
Answer:
The average rate of change between these times is 68 miles per hour
Step-by-step explanation:
Here, we are to determine the average rate of change between hour 2 and hour 7
The distance traveled at hour 2 is 140 miles
The distance traveled at hour 7 is 480 miles
So we can say we have two points and we want to know the rate of change between these points
Mathematically, we can represent the rate of change as Δ
Thus, between the two different times, we have;
Δ = (D7-D2)/(T7-T2)
where (T7,D7) = (7,480) and (T2,D2) = (2,140) represents the time and distance at hour 2 and hour 7 respectively
Now inputing the values into the equation, we have;
Δ = (480-140)/(7-2) = 340/5 = 68 miles/hour
If she runs half the distance to school, and runs the same back, this means that she suns 7/8 miles in a day. In 5 days, 5 x 7/8 = 35/8 miles (or 4.375 miles in 5 days).
Answer:
64 cherries
Step-by-step explanation:
Given that
There are 280 pieces of fruit in a fruit salad
There are twice as many raspberries as blueberries,
three times as many grapes as cherries,
and four times as many cherries as raspberries
We need to find out the number of cherries in the fruit salad
So,
Let us assume the blueberries be x
So, the raspberries be 2x
Cherries be 8x
And, grapes be 24x
Now
x + 2x + 24x + 8x = 280
35x = 280
x = 8
hence, the No of cherries in the salad
= 8 x
= 8(8)
= 64 cherries
