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Minchanka [31]
4 years ago
8

A square playground is surrounded by a sidewalk on all sides. the sidewalk is 2n+3 yards long on each side of the park.The sidew

alk is 0.5 yard wide.what is the perimeter of the playground?write two equivalent expressions for the perimeter of the playground?
Mathematics
1 answer:
faust18 [17]4 years ago
5 0

Answer:

4(2n+2.5) yards.

8n+10 yards.

Step-by-step explanation:

We have been given that a square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards long on each side of the park.

Since side walk is 0.5 yard wide, so each side of playground will be 0.5 less than each side of sidewalk.

\text{Length of each side of playground}=\text{Length of each side of sidewalk - Width of sidewalk}

\text{Length of each side of playground}=2n+3-0.5

\text{Length of each side of playground}=2n+2.5

Since playground is square, so perimeter of playground will be 4 times the length of each side of playground.

\text{Perimeter of playground}=4(2n+2.5)

Upon distributing 4 we will get,

\text{Perimeter of playground}=8n+10

Therefore, perimeter of playground will be 4(2n+2.5) yards or 8n+10 yards.

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9.75 is the answer. Just divide your dividend by 10.
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3 years ago
If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin
svlad2 [7]

Answer:

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?

We have that P = 1000, I = 0.07

We want to find t when E = 1000, so T = P + E = 2000.

E = P*I*t

1000 = 1000*0.07*t

t = \frac{1}{0.07}

t = 14.29

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

8 0
3 years ago
The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p
OverLord2011 [107]

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

4 0
3 years ago
Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of
dimaraw [331]

Answer:

C. 5

Step-by-step explanation:

Point R divides the line segment PQ internally. The x-coordinate of the point which divides the line segment in ration m:n internally can be calculated as:

x=(\frac{mx_{2}+nx_{1}}{m+n} )

Here, x1 is the x-coordinate of 1st point, x2 is the x-coordinate of 2nd point, x is the x-coordinate of point dividing the segment. We have all the values except x2. Using the given values in above formula, we get:

-1=\frac{x_{2}+3(-3) }{1+3} \\ \\-4=x_{2}-9\\\\ 5=x_{2}

Thus the x-coordinate of point Q will be 5

The x-coordinate of Q is 5.

7 0
4 years ago
Guys please help me with this?!
ser-zykov [4K]

Answer:

X = 41  

y = 7.22

Step-by-step explanation:

5 0
3 years ago
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