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MissTica
3 years ago
8

What fractional part of a day do you spend sleeping if you sleep 8 hours per day?

Mathematics
2 answers:
hram777 [196]3 years ago
7 0
In a day, there are 24 hours. The fractional part of a day you spend sleeping is the ratio of the number of hours you sleep to the total number of hours in a day. This is shown below,
                                        r = 8 hours / 24 hours = 1/3
Thus, you sleep for 1/3 of your day. 
Alona [7]3 years ago
4 0
About 24 hours per 1 day
8/24=1/3
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Mira is sending a care package to her cousin overseas. she wants to send a 64 ounce container filled with her cousins two favori
aalyn [17]

Answer:

2x+8y=64

Step-by-step explanation:

7 0
3 years ago
The members of a singing group agree to buy at least 250 tickets for a concert. The group buys 20 fewer lawn tickets than balcon
sveta [45]

Answer:

Members of Singing group will buy minimum 135 number of balcony tickets.

Step-by-step explanation:

Given:

Minimum of tickets will be bought =250

Let number of lawn tickets be 'l'.

Also Let number of balcony tickets be 'b'

Now given

The group buys 20 fewer lawn tickets than balcony tickets.

Framing in equation form we get;

l=b-20

Now The Sum of Number of balcony tickets and Number of lawn tickets should be greater than or equal to Minimum of tickets will be bought by the group.

Framing in equation form we get;

l+b\geq 250

Now substituting the value of 'l' in above equation we get;

(b-20)+b\geq 250\\\\b-20+b\geq 250\\\\2b-20\geq 250\\\\2b\geq 250+20\\\\2b\geq 270\\\\b\geq \frac{270}{2}\\\\b\geq 135

Now we know the value of b which is 135 we will substitute in equation l=b-20 to find the value of l we get;

l=135-20 = 115

Hence Members of singing group will buy minimum 135 number of balcony tickets.

6 0
4 years ago
2X+15= -3x how do you work this equation​
Sphinxa [80]

Answer: x=-3

<u>Add 3x to both sides</u>

<u></u>2x+15+3x=-3x+3x\\5x+15=0<u></u>

<u></u>

<u>Subtract 15 from both sides</u>

<u></u>5x+15-15=0-15\\5x=-15<u></u>

<u></u>

<u>Divide both sides by 5</u>

<u></u>5x/5=-15/5\\x=-3<u></u>

8 0
4 years ago
Read 2 more answers
Simplify each expression as much as possible, and rationalize denominators when applicable. √72=?
Misha Larkins [42]

Answer:

6√2

Step-by-step explanation:

Solving the given expression step by step:

72 = 2 × 2 × 2 × 3 × 3

Now for finding the square root we will make pair of two numbers of same values.

We have one pair of 2's and one pair of 3's and left one 2

Thus, √72 = 2 × 3 × √2 = 6√2

We rationalize denominator and change it into a simpler form as soon as possible.

3 0
3 years ago
Which one would the equation be?
aleksley [76]

Answer:

a. y = \frac{2}{5}x - 6

Step-by-step explanation:

The slope-intercept form of equation of a line is given as y = mx + b. Where,

m = slope

b = y-intercept.

Rewrite the equations, 2x - 5y = 12 and 4y + 24 = 5x, in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

2x - 5y = 12

2x - 12 = 5y

Divide both sides by 5

\frac{2x - 12}{5} = \frac{5y}{5}

\frac{2x}{5} - \frac{12}{5} = y

Rewrite

y = \frac{2x}{5} - \frac{12}{5}

The slope of 2x - 5y = 12 is ⅖.

4y + 24 = 5x

4y = 5x - 24 (subtraction property of equality)

Divide both sides by 4

\frac{4y}{4} = \frac{5x - 24}{4}

y = \frac{5x}{4} - \frac{24}{4}

y = \frac{5x}{4} - 6

The y-intercet of 4y + 24 = 5x is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

y = mx + b

Plug in the values of m and b

y = \frac{2}{5}x + (-6)

y = \frac{2}{5}x - 6

5 0
4 years ago
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