Find the area.<br> 20 ft<br> 12 ft<br> 5 ft

A rectangular parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 yd.² find the l

ArbitrLikvidat [17]

Answer:

width=5yd and length=10yd

Step-by-step explanation:

To solve this problem, you need to start by asking what you do and don't know (always where to start with word problems)

We know that Area (A) = Length (L) * Width (W)

You know Area (A) = 50 sq. yds.

You don't know anything about the width, so let's just say Width (W) = x

And you know that the length is 5 yds longer than the width, so L = W + 5yd and, since W = x, we can say L = x + 5yd

Now, we recall that A = L * W, and, since A = 50, we can say 50 sq yd = L * W.

Well, now just plug in. What does W equal and L equal?

From above we plug in and can say that 50 sq yd = x * (x + 5 yd).

Multiply it out and you get 50 = x^2 + 5x (removing units for a moment so they don't clutter the lines).

Now there are a number of ways to solve this. You can tell (because of the "x^2") that it is quadratic. So let's get it equal to zero:

0 = x^2 + 5x - 50

Now you can factor it, use your quadratic formula, or (if you hated yourself) do it as a completing the square problem. I'm going to factor.

I can see from going through a list in my head that the factors 10 and -5 multiply to -50 and add to 5, so I know that

0 = x^2 + 5x - 50 = (x + 10)(x - 5)

And so you know that x = -10 or 5.

Well, you know the parking lot cannot be -10 yd long. So we must say that W = x = 5, and, since L = W + 5, then L = 5+5 = 10. So your width is 5 yd and length is 10 yd.

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6 0

2 years ago

30 pens cost $12.50. how much is 75 pens cost

Mice21 [21]

Answer:$31.25

Step-by-step explanation:

$12.50/30=$.42each*75=$31.25

5 0

3 years ago

I need help on these three questions I’m so confused on how to answer them

GalinKa [24]

Answer:

1. S(1) = 1; S(n) = S(n-1) +n^2

2. see attached

3. neither

Step-by-step explanation:

1. The first step shows 1 square, so the first part of the recursive definition is ...

S(1) = 1

Each successive step has n^2 squares added to the number in the previous step. So, that part of the recursive definition is ...

S(n) = S(n-1) +n^2

__

2. See the attachment for a graph.

__

3. The recursive relation for an arithmetic function is of the form ...

S(n) = S(n-1) +k . . . . . for k = some constant

The recursive relation for a geometric function is of the form ...

S(n) = k·S(n-1) . . . . . . for k = some constant

The above recursive relation is not in either of these forms, so it is neither geometric nor arithmetic.

8 0

2 years ago

An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting b

Lera25 [3.4K]

The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%
Original price: unknown
Price after increase: $400

$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

I hope this helps! If you have any questions, feel free to ask.

5 0

3 years ago

Read 2 more answers

Could someone help me with this

Masteriza [31]

Answer:

The answer is 3% bc only 3% fall into all 3 gategories

5 0

2 years ago

Find the area. 20 ft 12 ft 5 ft