Answer:
The equation is:
y= -2x + 3
Step-by-step explanation:
There are two ways to solve this:
You could do very long algebra but you could also just plug in your information and make life easy for yourself.
Start of by plugging in your slope into the equation. (due to y=mx+b, m= slope=-2)
y= -2x + _
Then plug in the co-ordinates give.
(1) = -2(1) + z
Then solve for z
1 = -2 +z
+2 +2
z= 3
Then plug all your information in to get
y= -2x +3
Answer:
Step-by-step explanation:
Let the number of weeks be x
<u>Then Kendal's CD's</u>
<u>Raymond's CD's</u>
<u>Time when they have equal CD's</u>
- 39 + x = 15 + 3x
- 3x - x = 39 - 15
- 2x = 14
- x = 7 weeks
Answer:$4,067.47
Work: Since you know $1 US dollar = 133 Canadian dollars. All you do is 30.59 x 133 which equals 4,067.47. 30.59 x 133 = 4,067.47
Answer:
125c^3 * 27c^6
Step-by-step explanation:
(5c * 3c^2)^3
Distribute the cube:
5^3=125 3^3=27
When raising a power to a power we multiply the exponents:
125c^3 * 27c^6
Let C be the amount of compost
T be the amount of topsoil
Each compost cost = $25
Cost of C compost = 25C
Each topsoil cost = $15
Cost of T topsoil = 15T
Amount of compost + amount of topsoil = 10
C + T = 10 -------> Equation 1
cost of C compost + cost of T topsoil = 180
25C + 15T = 180 --------> equation 2
Solve the first equation for C
C + T = 10
C = 10 - T
Now plug it in second equation
25C + 15T = 180
25 ( 10 - T) +15T = 180
250 - 25T + 15T = 180 (combine like terms)
250 - 10 T = 180 (Subtract 250 on both sides)
-10T = 180 - 250
-10T = -70 ( divide by -10 on both sides)
T = 7
She purchased 7 cubic yards of topsoil .