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ddd [48]
4 years ago
14

You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acre

= 43,560 square feet) to build a house. How many acres are in this building lot and how many houses will the town allow you to build on this lot?
Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
4 0

Answer:

You have 1.07 acres in this building lot and you can only build 2 houses.

Step-by-step explanation:

You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.

We are given that 1 acre = 43,560 square feet.

In this building plot (260 foot by 180 foot), the area is:

260 * 180 = 46,800 square feet

Hence, the number of acres we have in this lot is:

\frac{46800}{43560} = 1.07

Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:

\frac{1.07}{\frac{1}{2} } = 1.07 * 2 = 2.14

Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.

You have 1.07 acres in this building lot and you can only build 2 houses.

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If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
denpristay [2]

Answer:

x=14

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if (x-4) and (y+3) vary inversely, their product will be the same for all values of x-4 and y+3.

Let x=8 and y=2 as given in the problem. Substitute values:

(8-4)(2+3)=(4)(5)=20

Hence, the maintained product is 20.

Thus, we have the following equation:

(x-4)(y+3)=20

Substitute y=-1 to find the value of x when y=-1:

(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}

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3 years ago
I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

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