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Mila [183]
2 years ago
6

Dots sells a total of 277 T-shirts ($2) and shorts ($3). In April, total sales were $656.

Mathematics
1 answer:
icang [17]2 years ago
5 0

Answer:

Shorts = 112 and t shirts = 165

Step-by-step explanation:

Let S = shorts

Let T = t shirts

T + S = 277

$2T + $3S = $656

-2(T + S) = 277          so    -2T -2S = -544

2T + 3S = 656          so      2T + 3S = 656

                                         ------------------------

SO:  (subtract T's cancel out)   1S = 112

                                           divide by 1  so S = 112

Plug S into the top equation: T + s = 277   T + 112 = 277  so T = 165

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Answer:

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Step-by-step explanation:

First, notice that:

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We proceed to use the chain rule to find g_{r}(\sqrt{2},\frac{\pi}{4}) using the fact that X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) to find their derivatives:

g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\

Because we know X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) then:

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We substitute in what we had:

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g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})

Because of what we supposed:

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And we operate to discover that:

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3 years ago
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