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A square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards along each side. The sidewalk is 0.5 ya

soldi70 [24.7K]

Answer: It can be calculated by using the formula of perimeter and by adding four sides

1) Perimeter= 2(L+B)= 8n+12

2) Perimeter= L+L+L+L= 4L= 8n+12

Step-by-step explanation:

As it is a square playground all its sides are equal

Perimeter of the sidewalk = 2(L+B)= 2(2n+3+0.5)= 2(2n+3.5)= 4n+7

Perimeter of the square playground= 2(L+B)= 2(2n+3+2n+3)

2(4n+6)= 8n+12-------------------------A

Perimeter of the square playground= L+L+L+L=4L 42n+3+2n+3+2n+3+2n+3=4(2n+3)= 8n+12------------------------B

4 0

3 years ago

Number 49....I need help

sergiy2304 [10]

Now, keep in mind that, we'll be using 25mile intervals, notice, that at a cost of 200 bucks, it went for 50 miles, now the charges are just for every 25miles only, so, if you drive 30 miles, you pay for 25miles and if you drive for 49 miles, you still only pay for 25 miles, but because 50/25 is 2 intervals, then if you drive for 50 miles, you're paying for 2 intervals of 25miles, not just one.

now, also let's keep in mind that, when the car was driven for 200 miles, that's 200/25 or 8 25mile intervals, so the 25mile charge kicked in 8 times.

$\bf \stackrel{cost}{y}=\stackrel{fixed~charge}{F}+\stackrel{25mile~intervals}{m}\quad \stackrel{25mile~charge}{x}\implies y=F+mx\\\\
-------------------------------\\\\
\begin{cases}
200=F+2x\implies 200-2x=\boxed{F}\\
245=F+8x\\
----------\\
245=\boxed{200-2x}+8x
\end{cases}
\\\\\\
45=6x\implies \cfrac{45}{6}=x\implies \cfrac{15}{2}=x\impliedby 
\begin{array}{llll}
\textit{so the 25mile charge is}\\
\textit{7 bucks and 50cents}
\end{array}
\\\\\\
$

$\bf 200=F+2\left( \frac{15}{2} \right)\implies 200=F+15\implies 185=F
\\\\\\
\textit{and the \underline{fixed charge} is 185 bucks then, let's check for 450}
\\\\\\
\boxed{y=185+\frac{15}{2}x}\qquad 
\begin{cases}
450~miles\\\\
\cfrac{450}{25}\implies 18~\textit{\underline{25mile intervals}}\\\\
x=18
\end{cases}
\\\\\\
y=185+\cfrac{15}{2}\cdot 18\implies y=185+135\implies y=320$

7 0

3 years ago

Braden wants to compare the types of ducks in two nearby ponds. He collected two samples using the following criteria. For sampl

Dmitry_Shevchenko [17]

Answer:

A,B and C

Step-by-step explanation:

probability that both cans were regular soda =

step-by-step explanation:

probability =

we are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

5 0

2 years ago

Christopher earns $5. 80 an hour and time-and-a-half for all hours over 40 hours. How much did he earn the week he worked 44. 5

Monica [59]

Answer: $271.15

Step-by-step explanation:

$5.80 × 40 = 232

Time and a half = $8.70

Overtime is 4.5 hours

$8.70 × 4.5 = 39.15

$232 + 39.15 = 271.15

6 0

2 years ago

What is the area of the figure below?

fgiga [73]

Answer:

Option a 26 inches square

Step-by-step explanation:

Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches

The altitude for base 13 inches is shown as 4 inches.

We know that for any triangle area

=1/2 * base * height

Here base = 13 and height = 4

Hence area = 1/2 (13)(4) = 26 inches square

Answer is option a

---

This can be done in another way also

There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches

Area of combined figure = sum of area of two triangles

= 1/2 (10)(4) +1/2(3)(4) =

20+6

=26 square inches

4 0

3 years ago

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