Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5
To find the answer, we can first find the distance each of them have, then divide it by their speed to find the time needed.
Distance Steve need to travel: 300 feet
Distance Paula need to travel:
300+175(behind steve) = 475 feet
Time needed respectively:
Steve: 300 ÷ 9 = 33.33.. seconds
Paula: 475 ÷ 15 = 31.66... seconds
As we can see from the result, Paula would take less time to reach the goal (31.66<33.33),
therefore, Paula win the bike race by:
33.33-31.67
=1.66...
≈1.67 feet
Thus Paula won by 1.67 feet.
Hope it helps!
We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.
<h3>
Is the fence enough?</h3>
For a rectangle of length L and width W, the perimeter is given by:
P = 2*(L + W).
In this case, we know that:
L = 120 ft
W = 75 ft
Replacing that on the perimeter equation we get:
P = 2*(120 ft + 75 ft) = 390 ft
So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.
So the statement is correct.
If you want to learn more about perimeters, you can read:
brainly.com/question/24571594
Answer:
To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.
On both sides, powers have the same base, so their exponents must be equal.
Step-by-step explanation:
<h3>Problem 1:</h3>
Write the missing exponent:
25=5^x
Let x be the missing exponent.
To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.
That is,
25=5*5 or 5^2
Now,
5^2=5^x
Powers have the same base so their exponent must be equal.
Hence the missing exponent is 2
Answer:

Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:

Now notice that we have a difference of squares (
). Given a difference of squares,
, this can always be factored into
. We can use this in this case:
.
So, our final factorized form is:
.
Hope this helps!