Step-by-step explanation:
I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).
but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.
just for the undoing the 1/2 :
that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.
so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.
in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1
FYI - the numerator still represents an original "to the power of" operation.
so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).
Answer:
Part A
12 pieces
Part B
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
Step-by-step explanation:
Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?
This is calculated as:
4 4/5 feet of rope ÷ 2/5 foot pieces
= 24/5 ÷ 2/5
= 24/5 × 5/2
= 12
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given
The quotient in Part A is 12
Therefore, this can be interpreted as:
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
3x+x=27
4x=27
X=8
Inman ate 3 times 8=24
Zar ate 8
24-8=16. Inman ate 16 more slices
