2x-8=5x+5
5x-2x=-8-5
3x=-13
x=-13/3,
or
x=-4 1/3
Answer:
Step-by-step explanation:
In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.
Area = 1/2 b * h
h = b - 9
b = b
Area = 56cm^2
Area = 1/2 (b - 9) * b
56 = 1/2 (b^2 -9b)
112 = b^2 - 9b
b^2 - 9b - 112 = 0
b = 16 and therefore the height is
h = 26 - 9 = 7
Check
Area = 1/2 * 16 * 7
Area = 8 *7
Area = 56 which checks.
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>
