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 .
Answer:
A = 41.41
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos A = adjacent/ hypotenuse
Cos A = 6/8
Taking the inverse cos of each side
cos ^ -1 ( cos A) = cos ^-1 ( 6/8)
A =41.40962211
Rounding to the nearest hundredth
A = 41.41
It's an increasing nonlinear. Exponential functions are graphed in basically any shape besides a line. This is an exponential function, therefore it is classified as nonlinear. By looking at the slope, from left to right, we can see that it is increasing, thus providing an answer that this is an increasing nonlinear function.
N/n+1
n-1/n-1=1
result is n/n+1
Answer:
120,960 ways
Step-by-step explanation:
Assuming that each piece is unique, then the order of each piece matters.
There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:
The program can be arranged in 120,960 ways.
