The correct answer is the commutative property of multiplication. This states that 2 or more numbers can be multiplied in either order.
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:
7
Step-by-step explanation:
![3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7](https://tex.z-dn.net/?f=3%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%2024%20%5C%5C%20%20%5C%5C%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%5Cfrac%7B24%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%208%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%20%7B2%7D%5E%7B3%7D%20%20%20%5C%5C%20%20%5C%5C%20%28x%20%2B%209%29%20%3D%20%20%7B2%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20x%20%2B%209%20%3D%20%20%7B2%7D%5E%7B4%7D%20%20%5C%5C%20%20%5C%5C%20x%20%2B%209%20%3D%2016%20%5C%5C%20%20%5C%5C%20x%20%3D%2016%20-%209%20%5C%5C%20%20%5C%5C%20x%20%3D%207)
These could be some possible amswers:2/8, 8,32, 3/12