All categories

3 years ago

2 1/8 x+ 3/4 x+ 1/6 − 7/12 x+5 2/3

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Answer:

x = (-28)/11

Step-by-step explanation:

Solve for x:

(55 x)/24 + 35/6 = 0

Put each term in (55 x)/24 + 35/6 over the common denominator 24: (55 x)/24 + 35/6 = (55 x)/24 + 140/24:

(55 x)/24 + 140/24 = 0

(55 x)/24 + 140/24 = (55 x + 140)/24:

(55 x + 140)/24 = 0

Multiply both sides of (55 x + 140)/24 = 0 by 24:

(24 (55 x + 140))/24 = 24×0

(24 (55 x + 140))/24 = 24/24×(55 x + 140) = 55 x + 140:

55 x + 140 = 24×0

0×24 = 0:

55 x + 140 = 0

Subtract 140 from both sides:

55 x + (140 - 140) = -140

140 - 140 = 0:

55 x = -140

Divide both sides of 55 x = -140 by 55:

(55 x)/55 = (-140)/55

55/55 = 1:

x = (-140)/55

The gcd of 140 and 55 is 5, so (-140)/55 = (-(5×28))/(5×11) = 5/5×(-28)/11 = (-28)/11:

Answer: x = (-28)/11

You might be interested in

2+3 plssssssssssssssssss

elena55 [62]

Answer:

Step-by-step explanation:

8 0

3 years ago

Solve the following equation:<br>m - m-1/2 = 1 - m-2/3

grigory [225]

Answer:

m = $\frac{7}{5}$

Step-by-step explanation:

m - $\frac{m-1}{2}$ = 1 - $\frac{m-2}{3}$

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m = $\frac{7}{5}$

3 0

3 years ago

In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe

igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = $7+3=10$

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = $\frac{3}{10}\times100 = 30\%$

Hence 30% members have voted.

8 0

3 years ago

True or False ? A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the

coldgirl [10]

Answer:

False

Step-by-step explanation:

If the value is a root of the polynomial, then the remainder will be 0. This means that the root as a factor will multiply to make the polynomial.

7 0

3 years ago

Read 2 more answers

Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A ran

vladimir1956 [14]

Answer:

Median for sample 1 = 142

Median for sample 2 = 134

Step-by-step explanation:

For Sample 1:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 1, n=11

So, putting n=11 in the formula

= ((11+1)/2)

= (12/2)

=6th term

The sixth term is 142, so

Median of sample 1=142

For Sample 2:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 2, n=11

So, putting n=11 in the formula

=((11+1)/2)

=(12/2)

=6th term

The sixth term is 134, so

Median of sample 2=134

7 0

3 years ago