Answer:
C = 4.94 M = 18.38
Step-by-step explanation:
the easiest way is to graph both equaitons and see where they intersect,
see the image
or solve by substitution
6C + 47M=893.50 C = (893.50 - 47M)/6
25C + 22M=527.86
25((893.50 - 47M)/6) + 22M = 527.86
25/6 [(893.50) - 47M] + 22M = 527.86
25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)
22M - 25(47M)/6 = -3195.06
22M - 195.83M = -3195.06
-173.83M = -3195.06
M = 18.38
C = (893.50 - 47(18.38)/6
C = 4.94
Answer:the fraction of Mary's garden that has tulips is 2/3
Step-by-step explanation:
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
Answer:
Two
Step-by-step explanation:
The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.
Her expected value of points will be the average (mean) of all the points awarded for each race.
The average is the total number of points divided by the number of races.
The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.
She can't win a fraction of a point, so she can expect to win two points in her first race.
Answer:
2/5x - 2y≥ 2
Step-by-step explanation:
see attachment
<h3>Answer: 787.25 dollars</h3>
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Work Shown:
A = final amount after t years = 1000
P = initial deposit = unknown
r = interest rate in decimal form = 0.08
n = compounding frequency = 12
t = number of years = 3
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A = P*(1+r/n)^(n*t) is the compound interest formula
1000 = P*(1+0.08/12)^(12*3)
1000 = P*1.27023705162066
1.27023705162066P = 1000
P = 1000/1.27023705162066
P = 787.254629932364
P = 787.25 rounding to the nearest penny
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note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.
