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Zanzabum
3 years ago
14

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

The correct answer is Option 4: 12

Step-by-step explanation:

Given equation is:

6-\frac{3}{4}x+\frac{1}{3} = \frac{1}{2}x+5

We have to find a number that is common multiple of all the denominators or least common divisor

So to find the LCM

The numbers in denominator are: 4,3,2

So,

4=> 4,8,12,16\\3 => 3,6,9,12,15\\2=> 2,4,6,8,10,12

It can clearly be seen that 12 is the LCM of all three numbers so the equation will be multiplied with 12 to eliminate the fractions.

12*6-12*\frac{3}{4}x+12*\frac{1}{3} =12* \frac{1}{2}x+12*5\\72-9x+4 = 6x+60

Hence,

The correct answer is Option 4: 12

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The value of C has to be Greater than 0.65
grin007 [14]

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

4 0
3 years ago
Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two
Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

P=\dfrac{6}{16}\\P=0.375

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0
3 years ago
How to describe the behavior of the f (x) from the left and from the right of vertical asymptote
Naddik [55]

Here you go, hope this kinda helps you out :)

8 0
3 years ago
Express sin Q as a fraction in simplest terms.​
Lesechka [4]

Answer:

Solution given

Sin Q=opposite/hypotenuse=28/29

<u>28/29</u><u> </u><u>is</u><u>. </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u><u />

3 0
3 years ago
the sum of three number is 202, the second is three more than the first number, the third number is three times the second numbe
sertanlavr [38]

Answer:

x = 38

y = 41

z = 123

Step-by-step explanation:

x + y + z = =202

y = x + 3

z = 3y = 3(x + 3) = 3x + 9

<u>x</u> + <u>y</u> + <u>z</u> = <u>x</u> + <u>x + 3</u> + <u>3x + 9</u> = 5x + 12 = 202

5x + 12 = 202

5x = 190

x = 38

y = x + 3 = 41

z = 3y = 123

4 0
3 years ago
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