Answer:
⅛
Step-by-step explanation:
let x represent students who are both honor students and athletes
60+80+40-x=160
180-x=160
x=189-160=20
The probability=20/160=⅛
Here is the mistake is on 9x1/100 because after decimal 9 is there means
9 has to be multiplied by 1/10 to get the 0.9
Here if we expand the 103.903 then from left to right
1 = 1x100 +
0 = 0x10 +
3 = 3x1 +
9 = 9x1/10+
0 = 0x1/100+
3 = 3x1/1000 = 103.903
the formula we use is
distance = speed * time
In the question we are provided with the info that
speed = 56 mph and
time = 3 hours 45 minutes = 3 + 45/60 hours = 3+ 0.75 hours = 3.75 hours
Now lets plug the values in the formula
distance = speed * time = 56 mph * 3.75 hours
distance = 210 miles
Subtract 10 from both sides
-0.035d=4-5
Simplify 4-10 to 6
0.035y=-6
Divide both sides by -0.035.
D=-6/0.035
Simplify
Y=171.42
Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3