Let's first come up with an equation that we can use to solve this problem.
Total Cupcakes= Cupcakes in each tin • the number of tins.
We are given the total number, and we want to find the number of tins and number in each tin now. So our equation looks like this.
56= cupcakes per tin • # of tins.
If we know that in 5 tins there are 35 cupcakes, and each tin has the same number we can divide 35 by 5 to find out there are 7 cupcakes in each tin. Now we have more info for our equation.
56 = 7 • # of tins.
We can divide the total number by the number in each tin, 56/7= 8.
Your answer is 8 tins.
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Parallel lines have the same slope.
We have y = 4x - 2 → slope m = 4.
Therefore we have y = 4x + b. Put the coordinates of the point (2, 4) to the equation of line:
4 = 4(2) + b
4 = 8 + b <em>subtract 8 from both sides</em>
-4 = b → b = -4
<h3>Answer: y = 4x - 4</h3>
Answer:
(1,6)
Step-by-step explanation:
If "(1, 9) is on the graph of f(x),"
then (1, [2/3][9]) is on the graph of the function y = (2/3)f(x). This works out to (1, 6).
Answer:
C. 
Step-by-step explanation:
You are given the exponential function 
From the table, 
at 
thus
![N(0)=a\cdot b^0\\ \\150=a\cdot 1\ [\text{ because }b^0=1]](https://tex.z-dn.net/?f=N%280%29%3Da%5Ccdot%20b%5E0%5C%5C%20%5C%5C150%3Da%5Ccdot%201%5C%20%5B%5Ctext%7B%20because%20%7Db%5E0%3D1%5D)
Also 
at 
thus
Since 
substitute it into the second equation
and the expression for the exponential function is
Answer:
3x<u>></u><u>=</u><u> </u><u>21</u>
Step-by-step explanation:
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