If it takes 5 min to fill 12ft^3 using a garden hose how long will it to take to completely fill the hot tub

A rectangular park is 150 yards on one side and 125 yards on the other.

Ket [755]

So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.

so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.

So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
= 2 ( 150 + 125 )
= 2 * 275
= 550 yards

Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.

i.e. Debbie walked 2 * Perimeter
= 2 * 550
= 1100 yards

Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the rectangular park (1,000,000 / the Perimeter of the park)
i.e. 1,000,000 / 550
= 1818.18 times

So,
(a) she walks 1100 yards
(b) She have to walk 1818.18 times

4 0

3 years ago

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

1 year ago

A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at

N76 [4]

Answer: 75-watt are 30$ fluorescent are 30$ in the second and 65$ in the first

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0

3 years ago

Jenny is taking a vacation from Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours.

crimeas [40]

Answer: 65 kmh

Step-by-step explanation:

70 kmh for 2 hours = 140 km.

63 kmh for 5 hours = 315 km

140 + 315 = 455/7 total hours = 65 kmh

3 0

3 years ago

Help wanted can someone help me and give me a short understanding of this

Citrus2011 [14]

Y = 104°
z = 24

Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24

Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°

7 0

3 years ago