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uysha [10]
3 years ago
11

3m - (7m+12) =2 (m-3)

Mathematics
1 answer:
viktelen [127]3 years ago
7 0
Remove parentheses
3m - 7m+12 = 2 m-3

collect like terms
3m-7m-12 = 2m-6

move terms
-4m - 12 = 2m-6

collect the like terms and calculate
-4m-2m = -6+12

divide both sides by -6
-6m=6

m= -1

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Answer: for 4 The 24 balloons cost are $40 and 9 balloons are $1.67

Step-by-step explanation:

3 0
3 years ago
A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o
Gelneren [198K]

Answer:

22,562.5 ft²

Step-by-step explanation:

The largest possible area will be obtained when half the fencing is used for the long side of the 4 pens, so the dimension in that direction is (950 ft)/(2·2) = 237.5 ft.

The other half of the fencing will be used for the 2 ends and 3 partitions, each of which will be (950 ft)/(2·5) = 95 ft.

Then the overall area of the 4 pens is ...

... (237.5 ft)(95 ft) = 22,562.5 ft²

_____

<em>General Solution</em>

Suppose L is the length of fence available, and x is the length of the long side of the enclosed area. For n pens, the enclosed area will be ...

... A = x(L-2x)/(n+1)

For constant values of A, L, n, this describes a downward-opening parabola with zeros at x=0 and x=L/2. The vertex of the parabola (point of maximum area) will be halfway between these zeros, at x = (0 + L/2)/2 = L/4. That is, half the available fence is used in each of the orthogonal directions.

Note that adding partitions in the other direction replaces the 2 in the equation with (m+1), where m is the number of pens between the sides of length x. That is, if there are 4 pens in one direction by 3 pens in the other direction, the area will be

... A = x(L -(3+1)x)/(4+1)

and, once again, we find that half the fence is used in each of the orthogonal directions when we maximize the overall area.

6 0
3 years ago
Graph the equation y = 4x -2.
9966 [12]

I have attached the graph

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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divide by 5 since there are 5 numbers

you would get 92106.8

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Hope this helps!!

3 0
3 years ago
The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door
il63 [147K]

Answer: d\leq150

Step-by-step explanation:

1. You have the following information given in the problem:

- The distance to the nearest exit door is no more than 150 feet.

-  d represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the  distance to the nearest exit door (d) must be less than or equal to 150 feet, then, you can express this as following:

d\leq150

5 0
3 years ago
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