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astraxan [27]
3 years ago
14

If x/2 + 3y=6, then solve for x in terms of y and y in terms of x

Mathematics
1 answer:
Elden [556K]3 years ago
5 0
X/2 +3y = 6 . . . . . . . . starting point
x/2 = 6 -3y . . . . . . . . subtract terms that don't have x
x = 2(6 -3y) . . . . . . . . multiply by the inverse of the x-coefficient
x = 12 -6y . . . . . . . . . expand if you like

3y = 6 -x/2 . . . . . . . . subtract terms that don't have y
y = (6 -x/2)/3 . . . . . . . multiply by the inverse of the y-coefficient
y = 2 -x/6 . . . . . . . . . expand if you like
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The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
3 years ago
Kayla has 14.5% of her salary placed into an Individual Retirement Account. What fraction is this?
Monica [59]
1. Convert percent into decimal (it will help)
14.5\% = .145
2. Convert Decimal to fraction
\frac{.145}{1000}

4 0
3 years ago
Please answer quick!!!
Sidana [21]

Answer:

A. 30

Step-by-step explanation:

The interquartile range for a box and whiskers plot, is the value from the right side of the box minus the value of the left side of the box.

In this case at the far right side of the box it is at 130, at the far left side of the box it is at 100.

130-100=30

4 0
3 years ago
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the volume of a rectangular prism is 504 in cube. If the area of the bask is 56 in cube, find its height.
mars1129 [50]

Answer: 9

Step-by-step explanation:

8 0
3 years ago
Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write t
Mazyrski [523]
4/5 acres of the land were sold.
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4 0
2 years ago
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