Answer: 14,575
Step-by-step explanation:
85(2) 0.4x = 6000 Multiply 85 times 2
170 + 0.4x = 6000 Subtract 170 from both sides
0.4x = 5830 Divide 5830 by 0.4
x = 14,575
Answer:
30 degrees
Step-by-step explanation:
Because the angles are complementary, they MUST equal to 90 degrees
Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees
3/5=6/10 so Naomi got 138.
Luke got 69.
And Natalie got 23.
Answer:
The answer is y=6
Step-by-step explanation:
Move the constant to the right side and change its sign
3y=12+6
Add the numbers
12 +6
3y=18
Divide both sides of the equation by 3
Which equals
Y=6
Hope that helps
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.
