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netineya [11]
4 years ago
5

A customer purchased a jacket for $65. This was 80% of the original price.What was the original price?

Mathematics
2 answers:
Sergeu [11.5K]4 years ago
8 0
The answer is $81.25. Because you take the equation x times .8 = 65 and solve for x.
fomenos4 years ago
4 0

Answer: The original price was $81.25.

Step-by-step explanation:

Since we have given that

Price at which a customer purchased a jacket = $65

This was 80% of the original price .

so, Let the original price be x

According to question,

\frac{80}{100}\times x=65\\\\x=\frac{65\times 100}{80}\\\\x=\$81.25

So, the original price was $81.25.

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Two planes are orthogonal if their normal vectors are orthogonal. Find the equation of a plane that is orthogonal to the plane 3
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Answer:

X-5Y-4Z+12=0

Step-by-step explanation:

Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,

V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.

V2 =V1.X,AB =\left[\begin{array}{ccc}i&j&k\\3&-1&2\\1&1&-1\end{array}\right] = i+2j+3k-(2i-3j-k)=V2=(-i+5j+4k); (aplying sarrus method)

according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)

V2=(-1,5,4) ; A=(1,1,2);  so -(X-1)+5(Y-1)+4(z-2)=0  → -X+1+5Y-5+4Z-8=0  →

-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0

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