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3 years ago

How can I change a mixed number?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

8 0

Divide the numerator by the denominator.

denpristay [2]3 years ago

3 0

Change to a mixed number by dividing the upper number of the fratcion with the lower. You put the number you got in front of the fraction, and leave what is left from the division on top of the fraction.
You do not divide into decimal places.
$\frac{14}{5} = 2 \frac{4}{5} \\ 14 \div 5 = 2 \: (4)$
In the example above, we divided 14 by 5, and we got 2, with a remainder of 4.
2 goes in front. 4 on top.

to change a mixed number to a fraction, multiply the number in front with the number under the fraction line and add to the top number
$2 \frac{4}{5} = \frac{14}{5} \\ 2 \times 5 = 10 \\ 10 + 4 = 14 \\ \frac{14}{5}$
Answers for the other numbers:
$\frac{25}{3} = 8 \frac{1}{3} \\ 25 \div 3 = 8 \: (1)$
$\frac{100}{99} = 1 \frac{1}{99} \\ 100 \div 99 = 1 \: (1)$
Fractions are basically another way of writing division.

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suppose a traveler is selected from this sample at random. Let event A = home sharing and event B = fly. Are events A and B inde

Schach [20]

Answer:

Yes, P(A) = P(A|B)

Step-by-step explanation:

The context of the question is incomplete but I've assumed logically what it might be;

Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;

Therefore, they are independent;

Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;

This can be represented mathematically as: P(A) = P(A|B);

The corollary of this is P(B) = P(B|A);

A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;

If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails

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3 years ago

Choose the correct graph of the following condition. {(x, y) : x = 4} {( x, y ) : y = 4}

shtirl [24]

The last graph is the correct graph for the problem

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4 years ago

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Sergio039 [100]

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Step-by-step explanation:

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4 years ago

At noon, a tank contained 10 cm of water. after several hours, it contained 7 cm of water. what is the percent decrease of water

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3 years ago

What is the solution set of y=2x^2+8x and x-2.23y+10.34=0

trasher [3.6K]

First, let's put the second equation, x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- √(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31

Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54

y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31

Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }

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3 years ago