The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
and similarly, the r% of female is
The number of males decreased by this quantity, so now it is
and the number of female increased by this quantity, so now it is
we know that these two new counts are the same number, so we can build and solve the equality
Subtract 20 and add 0.3r from both sides:
Divide both sides by 0.5 to solve for r:
Let's check the answer
The 20% of 30 is 
, while the 20% of 20 is 4. So, we are stating that 
which is true because both expressions evaluate to 24.
Answer:
A) 12.5%
B) 50%
C) 50%
Step-by-step explanation:
For A, 7 is one of the 8 possibilities (1/8). 1/8 of 100 is 12.5, so your chance of spinning a 7 is 12.5%
For B, even numbers are 4/8 or 1/2 of your options. 1/2 of 100 is 50, so your chance of spinning an even number is 50%
For C, there are 4 out of 8 numbers that are prime (2,3,5, & 7).
4/8 or 1/2 of 100 is 50, so your chance of spinning a prime number is 50%
hope this helps
0.25 or 1/4 as a fraction
Answer: D
Step-by-step explanation:
Look at the exponents first and order them from least to greatest
Answer:
B)Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90 clockwise
Step-by-step explanation:
This is because, to locate a point rotated by 90° from point A, we first draw a circle with the origin as its center and a radius of the origin and point A. We then locate a point on the line that is 90° clockwise from point A. For a 90° clockwise rotation, for a given pair of coordinates, (x,y), the resulting pair of coordinates is (y,-x). So, for the coordinates (1,4), the resulting coordinates we are looking for is (4, -1), which is the point rotated 90° clockwise from point A. The point is thus (4,-1).
