Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
The circle has a diameter of 16.
The formula for the circumference of a circle is diameter*pi
So, the circumference is 16*pi, or 16pi. (answer choice C.)
<em>Part A: </em>
Let c represent the total amount of chocolate there is in lbs.
c = 0.25c + 0.75c
<em>Part B: </em>
0.75c represents milk chocolate, and we know that there are 3 lbs of milk chocolate, so you can replace the 0.75c with 3 (representing 3 lbs):
c = 0.25c + 3
Divide all the terms by c:
1 = 0.25 + 3/c
Subtract 0.25 from both sides to combine the like terms:
0.75 = 3/c
Multiply all the terms by c to make the equation easier to work with:
0.75c = 3
Divide both sides by 0.75 to isolate the c and find the total amount of chocolate in pounds.
c = 4
Substitute c for 4 in the term that defines dark chocolate (which was 0.25c)
0.25(4) = 1 pound
Therefore, there was exactly 1 pound of dark chocolate present in the chocolate.
This makes sense, as 1 pound of dark chocolate + 3 pounds of milk chocolate = 4 pounds of chocolate in total, and 1 is 25% of 4 and 3 is 75% of 4.
Answer: 34
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Work Shown:
S = sum of the first 8 numbers
S/8 = 40 is the mean of those first 8 numbers
S = 8*40
S = 320 so the first 8 numbers add to this value
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R = sum of the 12 remaining values
R/12 = 30
R = 12*30
R = 360 is what the other 12 values add to
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R+S = 360+320 = 680 is what all twenty values add to. Divide this by 20 to get the overall average
(R+S)/20 = 680/20 = 34
Answer:
114
Step-by-step explanation:
12 times 2 equals 24
12 times 15 is 180
180 divided by 90
90+24=114
