First thing to do, when you have to add 2 fractions, you have to make both denominators equal. 14/6 = 0.84, so can't multiply or divide any fraction by a whole number to get the other denominator.
So, you multiply each fraction by the denominator of the other fraction. Which means that you multiply 5/14 by the denominator of 1/6 which is 6, and you multiply 1/6 by the denominator of 5/14 which is 14.
5/14 + 1/6 = 30/84 + 14/84
Then you join both fractions to make them under one denominator, since both denominators are equal.
30/84 + 14/84 = (30+14)/84 = 44/84.
Now, you need to simplify the fraction: you divide both numerator and denominator by 4:
44/84 = 11/21
So 5/14 + 1/6 = 11/21
Hope this Helps! :)
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:
the answer is 6
Step-by-step explanation:
5x+150=180( cointerrior angle of traingle)
5x=30
x=6
Average rate of change = change in y ÷ change in x
We already know the change in x because we are measuring the x values from -3 to 0.
change in x = 0-(-3) = 3
To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.
change in y = 0.5-2 = -1.5
average rate of change = -1.5/3 = -0.5
answer: -0.5
The answer is D. -(4x-3)(5x-2)
