To get the constant of proportionality (unit rate) you must find the miles driven in 1 hour. To get this you simply divide 200 by 4...
200÷4=50
So, the constant of proportionality is 50 mph.
Answer:
x = 6
y = 2
Explanation:
To solve the system using elimination, we need to multiply the second equation by -1, so the second equation is equivalent to:
x - 9y = -12
-1 (x - 9y) = -1 (-12)
-x + 9y = 12
Then, we can sum this equation and the first equation. So:
5x - 9y = 12
-x + 9y = 12
4x + 0 = 24
So, we can solve for x, as:
4x = 24
4x/4 = 24/4
x = 6
Then, we can replace x by 6 on the first equation and solve for y, so:
5x - 9y = 12
5(6) - 9y = 12
30 - 9y = 12
30 - 9y - 30 = 12 - 30
-9y = -18
-9y/(-9) = -18/(-9)
y = 2
Therefore, the solution of the system is x = 6 and y = 2
An equilateral triangle sides are all equal to each other. This means that is one side of an equilateral triangle is x + 3 then the sides of the other two triangles as also each x + 3
The formula for perimeter of a triangle is:
Perimeter = side 1 + side 2 + side 3
Or in the case of an equilateral triangle it would be:
Perimeter = 3(side)
This means that for the formula of this equilateral triangle you have:
Perimeter = 3(x + 3)
If asked the three out side of the parentheses can be distributed, meaning that you multiply the outside number (in this case that is 3) to all the number inside the parentheses (in this case that is x and 3)
Perimeter = (3 * x) + (3*3)
Perimeter = 3x + 9
Both of these are correct:
P = 3(x + 3)
P = 3x + 9
Hope this helped!
~Just a girl in love with Shawn Mendes
Set the shorter side of rectangle as X m
The longer side = (4X-6) m
58 = (X + 4X -6)2
58=10X -12
70 = 10X
X = 7
The shorter side is 7 m
And the longer side is 4 x 7 -6 = 22 m
Answer:
Number of Cucumbers = 12
Number of Tomatoes = 4
Step-by-step explanation:
Let number of cucumber be c and number of tomatoes be t
Since he has room for 16 plants, we can write:
c + t = 16
He wants to plant 3 times as many cucumbers as tomatoes. We can write:
c = 3t
We can substitute this in 1st equation and solve for t:
c + t = 16
3t + t = 16
4t = 16
t = 16/4 = 4
And c = 3t
c = 3(4) = 12
Number of Cucumbers = 12
Number of Tomatoes = 4
