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Explanation:
1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.
1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.
The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:
(1/2)*(1/6) = (1*1)/(2*6) = 1/12
Answer:
1) one muffin costs $1.50
one quart of milk costs $3.00
2) 10 videos, 30 CDs
Step-by-step explanation:
1)
m = cost of one muffin
q = cost of one quart of milk
System of equations:
3m + 1q = 7.5
8m + 2q = 18
I multiplied the first equation by -2 to eliminate the 'q' values
-6m - 2q = -15
+ 8m + 2q = 18
2m = 3
m = 3/2
find 'q':
3(3/2) + q = 7.5
9/2 + q = 15/2
q = 6/2 or 3
2)
c = # of CDs sold
v = # of videos sold
System of equations:
c + v = 40
4c + 6v = 180
I solved first equation for 'c' to get c = 40 - v
4(40-v) + 6v = 180
160 - 4v + 6v = 180
2v = 20
v = 10
10 + c = 40
c = 30
per day. When will the two actors charge the same amount of money?
Answer:
The two actors will have the same amount of money in 5 days.
Step-by-step explanation:
Answer:
16 = n/12
Step-by-step explanation:
16 = n/12
Answer:
Step-by-step explanation:
Since L is the midpoint of MN, by the definition of midpoint:
We can picture the following segment:
M----------L----------N
We know that and . Since the two segments are equivalent, we can set them equal to each other:
Now, let's solve for x. Subtract -7 from both sides:
Subtract 3x from both sides:
Divide both sides by -1:
So, the value of x is 10.
With this, we can find the remaining lengths.
We know that ML is .
Substitute 10 for x. So, the length of ML is:
We know that LN is . So, the length of LN is:
Finally, MN will be the combined lengths of ML and LN. So:
And we're done!
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
We have,
Let's use the information given to find the values of ML, LN, and MN.
ML = 2x + 7
LN = 3x - 3
L is the midpoint of MN, which means that ML is equal to LN:
2x + 7 = 3x - 3
Now, let's solve for x:
Move the x term to one side of the equation:
2x - 3x = -3 - 7
-x = -10
Now, multiply both sides by -1 to get rid of the negative sign:
x = 10
Now that we have the value of x, we can find the lengths ML, LN, and MN:
ML = 2x + 7
ML = 2(10) + 7
ML = 20 + 7
ML = 27
LN = 3x - 3
LN = 3(10) - 3
LN = 30 - 3
LN = 27
MN = ML + LN
MN = 27 + 27
MN = 54
Thus,
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
Learn more about midpoints of linesegments here:
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Answer:
C
Step-by-step explanation:
p+q=7