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.
Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°
Therefore, we can set up this equation:
(2x + 24) + x = 180 ⇒ Remove parentheses
2x + 24 + x = 180 ⇒ Combine like terms
3x + 24 = 180 ⇒ Subtract 24 from both sides
3x = 156 ⇒ Divide both sides by 3
x = 52°
Answer:
Step-by-step explanation:
Two points are (0, 65) and (10, 55)
Calculate slope <em>m</em>
Use slope-intercept form
<em>b</em> is the y-intercept, y-intercept is (0,65)
If it is a fraction like (3a-3b)/(3a+12b)
= [3(a-b)]/[3(a+4b)]
= (a-b)/(a+4b)
f(n) = f(n+1) +3
f(1) = f(2) +3
f(2) =f(3) +3
f(3) = f(4) +3
So f(1) = f(n) + 3* (n-1)
Put n=4 here so you found
f(1) = f(4) + 3* 3
= 22 +9
=31 ans
hope it helps
