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liraira [26]
3 years ago
7

You are purchasing Cotton swabs that come in 2 different sized containers. One box contains 300 swabs for 2.99 and the other box

is specially marked at 30% more swabs for the same price. How much will you save per sawn by buying the larger box?
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

Buying the larger box, I will be saving 23% compared to the original price.

Step-by-step explanation:

Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:

2.99 / 300 = X

0.0099 = X

2.99 / (300 x 1.3) = X

2.99 / 390 = X

0.0076 = X

0.0099 = 100

0.0076 = X

(0.0076 x 100) / 0.0099 = X

77 = X

100 - 77 = 23

Therefore, buying the larger box I will be saving 23% compared to the original price.

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Aliun [14]

Answer:

See explanation

Step-by-step explanation:

Simplify left and right parts separately.

<u>Left part:</u>

\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

<u>Right part:</u>

\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

Since simplified left and right parts are the same, then the equality is true.

3 0
3 years ago
A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
A ladder 8m long rests against a house. If the house is 6m high and the bottom of the ladder is 2m from the house, how much of t
Alex

Answer:

15

Step-by-step explanation:

you add all of them up and you get your answer

8 0
2 years ago
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sladkih [1.3K]

Answer:

answers below

Step-by-step explanation:

1. no

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10. no

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BARSIC [14]

Answer: A,  or 0.2x

Step-by-step explanation:

To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.

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C, is also flawed in the same way.

And D makes -76.

A is the only sensible one and is proven to work.

Hope this helped!

-Nick

3 0
3 years ago
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