Plane #1 speed: x mph
Plane #2 speed: (x+30) mph
time = time becomes
170 mi 185 mi
---------- = --------------
x x+30
Solving for x, the speed of the slower plane, we get
170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15
The slower plane flies at 340 mph, and the faster one at 370 mph.
Answer:
Step-by-step explanation:
Given function is,
f(x) = 
If the given function is vertically stretched by a scale factor of
Or 1.5,
Transformed function will be,
h(x) = ![\frac{3}{2}[f(x)]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Bf%28x%29%5D)
h(x) = 
Further function 'h' is shifted 1 units upwards,
g(x) = h(x) + 1
g(x) = 
Domain of the function → x ≥ 0 Or [0, ∞)
Range of the function → y ≥ 1 Or [1, ∞)
Transformations done → Parent function f(x) is vertically stretched by a scale factor of
then shifted 1 unit upward.
Answer:

Step-by-step explanation:
Given 
To make A as the subject of the formula we need to rearrange
Divide by
throughout we get


Answer:
If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?
9/10
Explanation:
The given multiplication is 3 x 3/10
The word problem that can result to the mathematical expression 3 x 3/10 is:
<em>If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?</em>
Since each of the people get 3/10 of the apple
The three people received a total share of 3 x 3/10 = 9/10r
Answer: 90 inches
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism =area of the base x length
Area of the base is the area of a triangle:
Area of a triangle = base x height x 1/2
Replacing with the values given:
A = 4 x 3 x 1/2 = 6 in2
Back on the volume formula:
V = A x h = 6 x 15 = 90 cubic inches
Feel free to ask for more if needed or if you did not understand something.