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.
It would be 70% of 400
490(.7) = 280
Answer:
0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.
Step-by-step explanation:
The given inequality is |u| - 2 < 5 ....... (1)
We have to solve this inequality.
Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and
f(x) = -x when x < 0.
Hence, for u ≥ 0, the equation of inequality (1) becomes
u - 2 < 5
⇒ u < 7
Therefore, the solution is 0 ≤ u < 7 (Answer)
Again, for u < 0, the equation of inequality (1) becomes
- u - 2 < 5
⇒ u + 2 > - 5
⇒ u > - 7
Therefore, the solution becomes 0 > u > - 7 (Answer)
Answer:
7 2/3 more pounds of deli meat
Step-by-step explanation:
Brandon needs 12 pounds of deli meat to make a sandwich tray.
He brought 4 1/3 pounds of ham.
The amount of deli meat that he still needs is calculated as:
12 pounds - 4 1/3 pounds.
= 7 2/3 pounds
