Answer:
The rate of the boat in still water is 40 miles per hour
The rate of the current is 10 miles per hour
Step-by-step explanation:
we know that
The speed or rate is equal to divide the distance by the time
Let
x ----> the rate of the current (miles per hour)
y ----> the rate of the boat in still water (miles per hour)
we have that
<em>going upstream </em>
----> equation A
<em>going downstream </em>
----> equation B
Solve the system of equations by elimination
Adds equation A and equation B
<em>Find the value of x </em>
therefore
The rate of the boat in still water is 40 miles per hour
The rate of the current is 10 miles per hour
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Answer:
r = 5 inches
Step-by-step explanation:
Area of circle, 
It is required to find the radius of the circle. The area of a circle is given by the formula :
r is radius of the circle
So, the radius of the circle is 5 inches.
<h2>
Answer:</h2>
<h3>True</h3>
<h2>
Step-by-step explanation:</h2>
<h3>Intrusive rocks, have large crystals that are usually visible without a microscope. </h3>
<h2>Therefore it's true. </h2>
<h2>Hope it help you </h2>
Answer:
-3/2
Step-by-step explanation:
Given two points, we can find the slope by
m = (y2-y1)/(x2-x1)
= (-7 - -1)/ (5-1)
= (-7+1)/(5-1)
= -6/4
= -3/2
