Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
Answer:
5/8
Step-by-step explanation:
8 children in class
3 have pink on
8-3 = 5
That means 5 do not have pink
Fraction that do not have pink
those that do not have pink/total
5/8
3 3/8 = 27/8
So (27/8)/(9/1)
(27)(1)/ (8)(9)
The answer is 27/72 or 3/8
Answer:
Option B m<ZA+m<ZB = 155° is correct option.
Step-by-step explanation:
We know that sum of angles of triangle is equal to 180°
And Isosceles triangle, 2 angles are same
So, let Angle 1 = x
Angle 2 = x
Angle 3 = 130°
Finding values of angle x
x+x+130=180
2x=180-130
2x=50
x=25
So, Angle 1 = 25 °
Angle 2 = 25°
As, angle B is greater than 90°, the sum of angles added must be greater than 90°
So, Option A, C and D can't be correct, as their sum is less than 90°
Option B m<ZA+m<ZB = 155° is correct option.
Verify:
m<ZA = 25° (as found earlier)
m<ZB = 130° (given)
So, m<ZA+m<ZB = 155°
25°+130° = 155°
1. (x + 2 < 5) Subtract two from each side to get (x < 3)
2. (x - 7 > -6) Add 7 to both sides to get (x > 1)
