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hodyreva [135]
3 years ago
13

A student studied 18 hours in one week. What is the total number of hours he will have to study during the next week in order to

average 2 hours of study per day for the entire 14-day period?
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

Step-by-step explanation:

[(2 hours)/(1 day)](14 days)=(18+x)hours

Let's note that the unit of day is in the numerator and denominator.  It cancels

[(2 hours)/(1 day)](14 days)=(18 hours)+(x hours)

(2 hours)(14)=(18+x)hours

Let's note that the unit of hours is in the numerators of both sides of the equation.  It cancels

(2 hours)(14)=(18+x)hours

(2)(14)=18+x

28=18+x

10=x

HE WILL HAVE TO STUDY 10 HOURS.

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Vladimir79 [104]

Answer:

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3 0
3 years ago
Write a real world situation for the following equations:
Jet001 [13]
2. Snap gym costs $120 for registration fee and $25 each month. Awesome gym costs $45 each month with no registration fee. After how many months will the cost of the two gyms be equal ? 3. Awesome video game has a total of 100 points. If you are out, you miss 6 points. Cool video game has a total of 160 points. If you are out, you miss 10 points. After how many times of getting out will you have the same number of points on both the games ?
3 0
3 years ago
The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only
dolphi86 [110]

Answer: 25%

Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)

7 0
3 years ago
Asher's gross annual income is $43,908 . He is paid monthly and has 6% deducted from his paychecks for his 401k. His employer ma
Oksanka [162]
----------------------------------------
Find Monthly Income
----------------------------------------
Gross Annually Income = $43 908
Gross Monthly Income = $43 908 ÷ 12
Gross Monthly Income = $3659

----------------------------------------
Paycheck deducted for 401k
----------------------------------------
6% of $3659
= 0.06 x 3659
= $219.54
----------------------------------------
Employer contribution to his 401k
----------------------------------------
4% of $2659
= 0.04 x 3659
= $146.36

----------------------------------------
Total contribution to his 401k
----------------------------------------
$219.54 + $146.36 = $365.90

----------------------------------------
Answer: $365.90 (Answer C)
----------------------------------------
3 0
3 years ago
The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
6 0
3 years ago
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