the ratio of the number of kids is 4:7
that means for every 7 kids we have 4 adults
7 kids ---- 4 adults
the difference is 3
we dived the difference of the kids between the difference of the ratio
150/3 = 50
the number we obtained must be multiply by the ratio of each part
7(50) = 350 number of kids
4(50)=200 number of adults
there are 200 adults at the fun fair
Answer:
She can ride 17.045 Miles in one hour.
Step-by-step explanation:
(250 feet/10 seconds) x (1 mile/5280 feet) x (60 seconds/ 1 minute) x (60 minutes/ 1 hour) = 17.045 Miles per hour
Answer:
18
Step-by-step explanation:
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
