Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Answer:
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold
Step-by-step explanation:
Let p be the number of pies and c be the number of cakes.
Then according to given statement " the store sold 10 baked goods"

And
"A cake costs $5 and a pie costs $4"

Using equation 1,

Putting this value of c in equation 2:

Putting p = 4 in equation 1

Hence,
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold
A Function is defined as the relation between the input and the output where one input can have only one output
When graphing functions, the x-axis denotes the inputs and the y-axis denotes the output of the function
Looking at the graph, we see that for one input (point on the x-axis) we have only one output (point on the y-axis)
Hence, we can say that this graph represents a function
X³ = 125/27
Cube root both sides to isolate the variable:
∛x³ = ∛(125/27)
x = ∛(125/27)
∛125 = 5, ∛27 = 3
x = 5/3