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4 years ago

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will

Mathematics

1 answer:

Karo-lina-s [1.5K]4 years ago

5 0

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

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The table shows population data year 2000 118,000 2006 138,000 a. what is the percent of change to 2006 b. Use this percent of c

worty [1.4K]

A) Now look, in the year 2000, the population is 118,000
In the year 2006 is 138,000
To find the percent change |Original Amt - New Amt|                                            --------------------------------       x100
                                                 Original Amt

So for this question you would do 118,00 - 138,000 (ignore the negativesss)

     and you get -20,000 (ignore the negatives) and then you get 20,000

Now, you have to do 20,000 divided by 118,000 x 100

20,000 divided by 118,000 and you get 0.169491525

Now you have to multiply 0.169491525 by 100

0.169491525 x 100 = 16.9491525

Round this and you get a 16.9% change.

b) To predict the population in 2012 you will have to do 138,000 + 16.9%

To calculate this you have to do this:
                                                 138,000 x 0.169 = 23322

Now add 23,322, to 138,000 and you get 161,322.

A) 16.9%

B) 161,322

hope this helped :)

5 0

3 years ago

AKAJAXOSPAPXODAOAPA HELP

Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0

3 years ago

Solve and then use estimation to make sure your answer is reasonable.

olga2289 [7]

Assuming that he read at the same speed last summer, 2,724 pages.

3 0

3 years ago

Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common soluti

Arlecino [84]

Answer:

x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10 (1)

And 2x+3y=6 (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2

8 0

3 years ago

What is true about the solution of x^2/2x-6=9/6x-18?

pogonyaev

Answer:

x = ±√3, and they are actual solutions
x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

...6(x -3)(x^2 -3) = 0

... x = 3, x = ±√3

_____

Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

... (1/2)(x^2 -3)/(x -3) = 0

Here, the solution will be values of x that make the numerator zero:

... x = ±√3

_____

So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

_____

Comment on the graph

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

7 0

3 years ago

Read 2 more answers