First you go the tenths place which is the number 9 stands. You look to the left of the number. Here is the tricky part if the number is under 5 for example 1 2 3 4. The number stays the same and everything behind that number is 0. If the number is 5 or higher the number goes up one and everything behind it is 0. So 3.987 rounded to the nearest tenth is 4.000
Answer:
120 miles
Step-by-step explanation:
Formulate equations.
Distance = rate * time.
D1 = distance from home to airport
D2 = distance from airport to off
D1 + D2 = 150
30 x t1 + 60 x t2 = 150
Divide through by 30
t1 + 2t2 = 5 ----- equation 1
Entire trip took 3 hours
t1 + t2 = 3 -------------------- equation 2
Solve equation 1 and 2 and you get
t1 = 1 hour
t2 = 2 hour
D2 = t2 x speed = 2 x 60
= 120 miles.
Answer:
x = 9
Step-by-step explanation:
"The sum of 42 and a number x is 51" in "mathy" words:
42 + x = 51
Then, subtract both sides by 42:
42 + x - 42 = 51 - 42
So
x = 9
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = 
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * 
& (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
![y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2](https://tex.z-dn.net/?f=y%20-%20%28-7%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20%2B%207%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B%206%20%2A%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B5-7%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B6%7Dx-2)
