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zhannawk [14.2K]
3 years ago
6

Need Help solving this , pic of question

Mathematics
1 answer:
Mama L [17]3 years ago
7 0
<h3>Answer:</h3>

Length: 12 yd

Width: 5.5 yd

<h3>Explanation:</h3>

Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...

... x(2x+1) = 66

... 2x² +x -66 = 0

This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...

... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term

... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping

... (2x -11)(x +6) = 0

... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.

... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,

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Calculate the final selling price to the nearest cent and markdown percent to the nearest hundredth percent:
saw5 [17]
There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ...
  35% markdown: (1 - 0.35) = 0.65
  25% markdown: (1 - 0.25) = 0.75
  18% markup: (1 + 0.18) = 1.18
  15% markdown: (1 - 0.15) = 0.85

The product of all these multipliers is
  0.65×0.75×1.18×0.85 = 0.4889625

As you note, $5600×0.4889625 = $2738.19.

Since this multiplier is 1-d, we can find d as
  1 - d = 0.4889625
  d = 1 - 0.4889625 = 0.5110375
The markdown percentage is this number times 100%:
  markdown% ≈ 51.1%


_____
Alternatively, you can work with your final value to find the percentage change from the original.
  percent change = ((final value) - (original value))/(original value) × 100%
    = (2738.19 - 5600)/5600 × 100%
    = -2861.81/5600 × 100%
    = -0.5110375 × 100% . . . . . . . this should look familiar
  percent change ≈ -51.1%

When the change is negative, it is a markdown (not a markup).
The markdown is 51.1%.
6 0
3 years ago
What is the volume of a prism if the length is 11ft the width is 8ft and the height is 9ft
Lelu [443]

Answer:

792ft

Step-by-step explanation:

V=LxWxH, so all you do is do 11 times 8 times 9 to get the answer to that question

7 0
3 years ago
What plus 55 equals 90
11Alexandr11 [23.1K]
35 + 55 = 90
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5 0
3 years ago
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Chaz needs $4.77 for new batteries. He has $2.80. How much more money does he need?
Vadim26 [7]

Answer:

1.97

Step-by-step explanation

2.80 + n=4.77

4.77 - 2.80= 1.97

8 0
3 years ago
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A $280 suit is marked down by 30%. Find the sale price.<br> The sale price is $
storchak [24]

Answer:

84

Step-by-step explanation:

30% * $280

\frac{}{100}

= 84

So, the sale price is $84

3 0
3 years ago
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