Answer:
22 blueberry pies and 19 apple pies.
Step-by-step explanation:
This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:
12x + 14y = 536 $12 per apple pie, $14 per blueberry pie, and a total of $536.
Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.
12(41 - y) + 14y = 536 Here we substituted x for the equation we made.
429 - 12y +14y = 536
-12y +14y = 44 Here we moved the 429 to the other side by subtracting it from the left and right.
2y = 44
y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.
x + 22 = 41
x = 19. Now we know there was a total of 19 apple pies sold.
Hope this helps!
Answer:
51 guests
Step-by-step explanation:
150+30x
1700=150+30x
1550=30x
x=1550/30=51
G(x) = 13
f(x) = 25
25{13(5)}= 1625
Check the picture below.
in a parallelogram, there are two pairs of parallel sides, so in this case, namely since A and C are on opposite ends of the diagonal, that means that the segment AB is the one that's parallel to CD, and of course, AD is parallel to BC.
in order to maintain the same "slant" or slope, that way the sides are indeed parallel, since parallel sides have the same slant, we can just check how much is it horizontally from B to C, and then how much is it from there up to C, vertically.
if we move the same quantities horizontally and vertically, from A, we will end up at D, while maintaning the slant.
so... notice in the picture the blue distances from B up to C, we move that much in the red distances from A up to D.
what are the coordinates of D? well, ok, add them up.
25 us PEMDAS
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3(7)+12/3
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21+4
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25