Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
Answer:
363 ft
Step-by-step explanation:
We can use a ratio to solve
330ft x ft
------------ = ---------------
10 seconds 11 seconds
Using cross products
330*11 = 10x
Divide by 10
330*11/10 = x
363 = x
Answer: y=-2x-9
Step-by-step explanation:
Add 4x to both sides because the slope (-2x) needs to be on the same side as the y-intercept (-9). Then divide everything by 2 to get your answer because you want to get y by itself, since there is two of them. 2y-4x=-18 becomes y=-2x-9.
Answer:
SSS
Step-by-step explanation:
Given that the sides are equal and no angles are given
Answer:
10
Step-by-step explanation:
If W is the present age of the woman and D is the present age of the daughter, then:
W = 4D
W + 5 = 3(D + 5)
Substituting the first equation into the second:
4D + 5 = 3(D + 5)
4D + 5 = 3D + 15
D = 10
The daughter is 10 years old.
