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3 years ago

10

If you sleep 7 hours every night how many hours are you AWAKE in a year? Tips: There are 24 hours in a day. There are 365 days i

n a year.

2 answers:

alexdok [17]3 years ago

8 0

Answer: 6205 hours

Step-by-step explanation:

Given: The number of sleeping hours =7

Since, the total number of hours in a day = 24

Therefore, the number of awake hours = 24-7=17

Also, the number of days in a year = 365

Therefore, the total number of awake hours= $17\times365$

Thus, the total number of awake hours= 6205 hours

Hence, If we sleep 7 hours every night we awake 6205 hours in a year.

artcher [175]3 years ago

5 0

6,205 hours you are awake in a year

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A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?

siniylev [52]

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$ , hence

$log_{4}$ (2x - 12) = 3 ⇒ 2x - 12 = $4^{3}$ = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38

5 0

3 years ago

B) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing

kenny6666 [7]

Answer:

$\boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}$

$\boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}$

Step-by-step explanation:

Let Cost price ( C.P ) be x

<u>Finding </u><u>the </u><u>Marked </u><u>price </u><u>and </u><u>selling </u><u>price </u>

Marked price = $\sf{x + 20\% \: of \: x}$

⇒ $\sf{x + \frac{20}{100} \times x}$

⇒ $\sf{ \frac{x \times 100 + 20x}{100} }$

⇒ $\sf{ \frac{120x}{100} }$ ⇒ ( i )

Selling price = $\sf{marked \: price \: - 18\% \: of \: marked \: price}$

⇒ $\sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }$

⇒ $\sf{ \frac{120x}{100} - \frac{54x}{250} }$

⇒ $\sf{ \frac{120x \times 5 - 54x \times 2}{500} }$

⇒ $\sf{ \frac{600x - 108x}{500} }$

⇒ $\sf{ \frac{492x}{500} }$ ⇒ ( ii )

<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x </u><u>(</u><u> </u><u>Cost </u><u>price </u><u>)</u>

$\sf{loss = cost \: price - selling \: price}$

⇒ $\sf{20 = x - \frac{492x}{500} }$

⇒ $\sf{20 = \frac{x \times 500 - 492x}{500} }$

⇒ $\sf{20 = \frac{8x}{500} }$

⇒ $\sf{8x = 10000}$

⇒ $\sf{x = \frac{10000}{8} }$

⇒ $\sf{x = \: Rs \: 1250}$

Value of x ( cost price ) = Rs 1250

<u>Now</u><u>,</u><u> </u><u>Replacing </u><u>the </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>i </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>marked </u><u>price</u>

$\sf{marked \: price = \frac{120x}{100} }$

⇒ $\sf{ \frac{120 \times 1250}{100} }$

⇒ $\sf{ \: Rs \: 1500}$

<u>Replacing </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>ii </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>selling </u><u>price</u>

$\sf{selling \: price = \frac{492 \: x}{500} }$

⇒ $\sf{ \frac{615000}{500} }$

⇒ $\sf{ \: Rs \: 1230}$

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

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I have posted a picture of the question can you give me an answer.

Mrac [35]

Divide both sides by eight

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Is -81.43 rational or irrational? If it is rational, write the number as a ratio of two integers.

ICE Princess25 [194]

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A fish tank is 3 feet by 4 feet by 5 feet. How many galoons of water will it hold? A cubic foot of water is 7.5 gallons.

likoan [24]

Answer: 8 gallons of water.

Step-by-step explanation:

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