Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
This is a system of equations problem.
Blueberry = X, blackberry = Y
Joe:
5x + 10y = 135
James:
x + 9y = 104
Let’s isolate x from James’ equation.
x = 104 - 9y
Now substitute that into the first equation.
5(104 - 9y) + 10y = 135
520 - 45y + 10y = 135
-35y = -385
y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.
Now we can substitute that value into James’s equation.
x + 9(11) = 104
x = 104 - 99
x = $5
Final answer: Blueberry pies cost $5, blackberry pies cost $11.
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Step-by-step explanation:
Answer:
p<-3/8
Step-by-step explanation:
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is

, and

.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are

and

. The difference of those two cubes is:

In our problem, a = 4 (since

= 64) and b = y (since

. Plug these values into the rule to find the factor of

:

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Answer: