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Evgen [1.6K]
3 years ago
14

2\3 a certain number reduced by 11 is equal to 4 more than that number. Find the number (show work)

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0
11 - 2/3n = 4 + n
n + 2/3n = 7
3n^2 + 2 = 21n
3n^2 - 21n + 2 = 0
n = 6.903 , n = 0.09657
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A tool set sells for $150 at a local hardware store. The tool set is on sale for 20% off the retail price, p, given by f(p)=0.80
bogdanovich [222]

Answer:

6 Dollars.

Step-by-step explanation:

A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.

Therefore, the cost of using the coupon followed by the discount,  

f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.

And the cost of using the discount followed by the application of the coupon,

g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.

Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)

7 0
4 years ago
In a game, 20 small squares of paper are numbered 1 through 20. If Egan randomly selects 1 piece of paper, what is the probabili
garri49 [273]

Answer:

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Step-by-step explanation:

Probability is essentially (# times a specific event occurs) / (# times any general event occurs).

Here, the "specific event" is selecting a multiple of four. The multiples of 4 from 1 to 20 are: 4, 8, 12, 16, and 20 - there are 5 of these. So, the number of times the specific event can occur is 5.

The "general event" is selecting any number out of the 20. Since there are 20 numbers, then there are 20 ways that a general event occurs.

So, the probability is 5/20 = 1/4.

3 0
4 years ago
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Which of the following is equivalent to [sin (2θ) − tan (θ)] / tan (θ) ?
ella [17]
Hope this helps you!

8 0
3 years ago
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fgiga [73]
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4 0
3 years ago
Help me please I will give point to all
lapo4ka [179]

Answer:

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Step-by-step explanation:

this shold work

6 0
3 years ago
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