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nalin [4]
2 years ago
6

An appliance store sells lamps at $95.00 for two. A department store sells similar lamps at five for $250.00. Which store sells

at a better rate? How much better?
Mathematics
1 answer:
snow_tiger [21]2 years ago
5 0

Answer:

Appliance store has better rate than department store.

Step-by-step explanation:

Appliance store gives 2 for $95

So price of 1 will be = 95/2 = $47.5

Department store sells 5 for $250

So price of 1 will be = $250/5 = $ 50

So as a buyer we are in profit when buy from appliance store because we are at a profit of $2.5 per lamp.

I hope it will help you!

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4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)

3b^2-108=3(b^2-36)=3(b^2-6^2)=3(b-6)(b+6)

Used:\ (a-b)(a+b)=a^2-b^2
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3 years ago
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Translate triangle ABC 2 units left and 3 units up
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Answer:

  1 : 6 . . . . or 1/6

Step-by-step explanation:

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  drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

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Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

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Now, we have all number in base 10. Then, our first equation can be written in base 10 as

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Therefore, the solution is x=5

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