X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
Answer:
20
Step-by-step explanation:
Our expression:
2 * (18 + - 8)
Plus then minus (+ -) is the same as just minus ( - )
Some examples:
1 + (+ 1) = 2
1 + (- 1) = 0
1 - (+ 1) = 0
1 - (- 1) = 2
Thus, 18 + - 8 is the same as 18 - 8
2 * (18 + - 8) =
= 2 * (18 - 8) =
= 2* (10) =
= 2 * 10 =
= 20
Answer: 20
Make a drawing with a right triangle.
The opposite side, y, is the height of the dam less 1.65 m
The base or adjacent side is 90 m
The angle between the two sides is 90 m.
Then tan (26) = y / 90
y = 90 tan(26) = 90 (0.4877) = 43.90 m
The height of the dam is 43.90m + 1.65m = 45.55 m
Answer:
Transposing a number is a type of error where two digits swap position in the sequence. An example would be to enter 13 instead of the desired 31. It could also be the error of dropping a needed zero as in writing 15 instead of the desired 150.
Step-by-step explanation:
Unless by "number" you mean musical score. Then transposing is rewriting the score in a new key.
Y-y
——-
X-x
21-9=12
5-(-1) =6
So the answer is D
