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OLga [1]
2 years ago
7

2 1 11 __ ft of fabric is needed to make pants, while 4 1 6 _ ft of fabric is required to make a rug. How much more fabric is ne

eded to make a rug versus pants?
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
7 0

Answer:

2.07 feet more

Step-by-step explanation:

Given that,

Amount needed to make pants = 2\dfrac{1}{11}=\dfrac{23}{11}\ \text{feet}

Amount needed to make rug = 4\dfrac{1}{6}=\dfrac{25}{6}\ \text{feet}

We need to find how much more fabric is needed to make a rug versus pants. It can be solved as follows :

x=\dfrac{25}{6}-\dfrac{23}{11}\\\\x=2.07\ \text{feet}

So, 2.07 feet more fabric is needed to make a rug versus pants.

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Nataly_w [17]

so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost.  The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.

so our cost equation C(x) = 0.5x + 600   <---- items' cost plus overhead.

the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.

so our revenue equation is simply R(x) = 0.85x.

as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).

\bf \stackrel{R(x)}{0.85x}=\stackrel{C(x)}{0.5x+600}\implies 0.35x=600\implies x=\cfrac{600}{0.35} \\\\\\ x\approx 1714.285714285714\implies \stackrel{\textit{rounded up}}{x=1714}

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3 years ago
Find the sales tax on each item<br>19) tennis racket<br>cost: $59.98;<br>sales tax: 6%<br>​
valentinak56 [21]

Before Tax Price: $59.98

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After Tax Price: $63.58

6 0
3 years ago
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Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.
svp [43]

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

So, we solve the 2 equations to find out X and Y

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<=> X = \frac{3080}{17} and Y = \frac{880}{17}

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lbvjy [14]
Y = ln |1 + t - t^3| = (1 - 3t^2)/(1 + t - t^3)
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3 years ago
Please help me with this question :(
nalin [4]

Answer: See below

Step-by-step explanation:

4 parts of the whole are shaded, and there are a total of 10 parts

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