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g100num [7]
1 year ago
10

A company sold garden hoses at a reduced price of $6.67 and took an end-of-season mark down of $9.28. What was the original sell

ing price of each hose? Use the formula of M=S-N, where M is the markdown, S is tye original selling price, and N is the reduced price.
Mathematics
1 answer:
saul85 [17]1 year ago
8 0

We have the formula:

M=S-N

where M is the mark down, S is the original price and N is the reduced price. Plugging the values we know:

\begin{gathered} 9.28=S-6.67 \\ S=9.28+6.67 \\ S=15.95 \end{gathered}

Therefore the original price was $15.95

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DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

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6 0
3 years ago
A Store owners offers a discount of 20% off the regular price of all jackets. Jessica has a coupon that gives her an additional
Deffense [45]

Answer:

$63

Step-by-step explanation:

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3 0
3 years ago
2/5x3/4 show your work if you get it right i will give u braniset. if u do for frre points i willl delete it
maw [93]
2x3
—— = 6/20 = 3/10
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3 0
3 years ago
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Sveta_85 [38]
Cost of lack increased by 30%

new cost of lack will be = 100% + 30% = 130%

We are given that new cost = £65

Thus 130% of original cost = 65

100% of original cost = 65 × 100/130 = £50

Thus original price was £50
7 0
4 years ago
I need help simplifying this expression<br><br> 9•(7-4)^2+9
marshall27 [118]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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