Here is the definition of a negative exponent.
For any non-zero value of a,

Look at your problem and follow the definition.

Since 4^3 = 4 * 4 * 4 = 64, we can now write:
Answer:
Luis
Step-by-step explanation:
One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.
Answer:
The area of triangle DEF is 
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
To find the scale factor, divide the height of triangle DEF by the height of triangle ABC
Let
z ------> the scale factor

step 2
Find the area of triangle DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z -----> the scale factor
x ----> the area of triangle DEF
y -----> the area of triangle ABC

we have


substitute and solve for x



Answer:
hey ?
Step-by-step explanation:
Answer:
54 Pounds
Step-by-step explanation:
We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.
The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem
67.5
We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.
67.5 x 0.8
This leads the answer to be 54 Pounds
Hope this helped :D