What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9

Answers

Answer 1

Answer:

Multiply by 18

Step-by-step explanation:

Given

[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]

Required

Eliminate the fraction

To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)

This is show below:

List out the multiplies of 3, 6 and 9

[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]

[tex]6 = 6,12,18,24,30...[/tex]

[tex]9 = 9,18,27...[/tex]

The least common multiple is 18.

Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;

See proof

[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]

[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]

[tex]6x + 3x = 11 * 2[/tex]

[tex]6x + 3x = 22[/tex]

The fraction is eliminated


Related Questions

12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per

week. Create a function, P, that gives the amount of money that john still owes Joan after

w weeks.


12 (b) John told Joan that he will have paid her back all of the money, after making

payments for 13 weeks.. Explain why John is incorrect?

Answers

Answer:

P = 80 - 6w

Step-by-step explanation:

Initial amount = $80Payment each week = $6

Required function:

P = 80 - 6w

Time required to pay all money. At this time P = 0

0 = 80 - 6w6w = 80w = 80/6w = 13.33

Since w > 13, John needs 14 weeks

A number line has marks A question mark, negative 2, B question mark, 0, 1, C-2, 3, D question mark, 5, E 6.
What number is represented by point B?

Which point represents the number 2?

Answers

Answer:

What number is represented by point B = -1  

Which point represents the number 2? = C

Need help ASAP
Thank you

Answers

Answer:

the second one thxxx for the points

it’s the second one....B!!!

Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?

Answers

36

because you add 36 6 times so 36×6= 216

Answer:

Well, 216 divided by 6 is 36,so...

Step-by-step explanation:

There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!

Answers

Answer:

259,459,200 ways.

Step-by-step explanation:

That is the number of permutations of 8 from 15.

= 15! / 15-8!

= 15! / 7!

= 15*14*13*12*11*10*9*8

= 259459200

please help

Solve |6k + 12| + 9 = 9 for k

Answers

Answer:

k = -1/2

Step-by-step explanation:

|6k + 12| + 9 =9

6k + 12 = 9-9

6k + 12 = 0

6k = -12

k = -1/2

HELPPP please dont skip

Answers

Answer:

B

Step-by-step explanation:

Trust

Who HATES k-12 I"TS THE WORST

Answers

Answer:

MEEEEEEEEEEEEE LOL hahaha

Answer:

I hate it, it doesnt teach you anything!!

Step-by-step explanation:

Help me out here pleaseeeeeeeeee

Answers

Answer:

Step-by-step explanation:

the second one

Option 2 is the right answer

ok yall i need help and yall kinda no treading the question fully READ ITTTTT, i will give brainleist

Answers

Answer:have a wonderful Christmas!

Step-by-step explanation:70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165 also

Answer:

The answer is 165, hope this helps.

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.

Answers

Answer:

A and C

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

im right

if a dinosaur has a mass of 55g, what is his density

Answers

Answer:

32ounces I think

Step-by-step explanation:

Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area.

Answers

Answer:

new area = 7m (length) x 4m (width) = 28; an increase of 12 sq meters

Step-by-step explanation:

Original area must have been 16 because both the length and width were 6 meters.

175% of 16 is 12, meaning the length must be increased from 4 to 7 to get 28 when multiplied by a width of 4m

Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *

Answers

jamie can paint 6 rooms
3 divided by 1/2
3/1 * 2/1
6/1
6

HELP QUICK!! I HAVE ADULTS YELLING AT ME BC I DON'T UNDERSTAND

Answers

Answer:

[tex] 1\frac{1}{6} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{3}*1\frac{3}{4} [/tex]

Required:

Evaluate

SOLUTION:

To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.

Thus:

[tex] \frac{2}{3}*\frac{7}{4} [/tex]

Multiply the numerators together, and multiply the denominators together

[tex] = \frac{2 \times 7}{3 \times 4} [/tex]

[tex] = \frac{14}{12} [/tex]

Simply the fraction by dividing the numerator and denominator by 2

[tex] = \frac{7}{6} [/tex]

[tex] = 1\frac{1}{6} [/tex]

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Answers

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

Hence we can say the equation has One and only one solution since we have just a value for x and y

Use the table below to answer this question:
x y
-1 -3
0 -1
2 3

Find the average rate of change for the given function from x = −1 to x = 2.

A.) −2

B.)−1

C.)1

D.) 2

Answers

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

[tex]m=\dfrac{3-(-3)}{2-(-1)}[/tex]

[tex]m=\dfrac{3+3}{2+1}[/tex]

[tex]m=\dfrac{6}{3}[/tex]

[tex]m=2[/tex]

Therefore, the correct option is D.


Find the angle of rotation about the center of the square that maps A to C.

Answers

The angle of rotation to map A into C is 180°.

How to find the angle of rotation?

The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.

Then we would have A on the second quadrant and C on the fourth quadrant.

Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.

The correct option is 180°.

If you want to learn more about rotations:

https://brainly.com/question/4289712

#SPJ1

27
Solve for x.
5x – 5 = 9x + 3
X =

Answers

Answer:

- 2

Step-by-step explanation:

Add 5 From Both Sides

Simplify

Subtract 9x from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the picture below ↓

Hope this helps! :)

explain how to use friendly percents to find 35% of 80

Answers

You first need to change the percent into a decimal then multiply by 80 to get your answer
.35*80=28

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

Please help me solve this question will give you braisnlt !

Answers

Answer:

Table c

Step-by-step explanation:

Required:

Which of the 4 has the greatest rate of change

For Graph (A):

We start by picking any two equivalent points on the table:

[tex](x_1,y_1) = (0,1)[/tex]

[tex](x_2,y_2) = (2,5)[/tex]

Next, we determine the slope, m:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-1}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

This represents the rate of change:

For (B): [tex]y = 3x + 7[/tex]

An equation is of the form:

[tex]y = mx + b[/tex]

Where

m represents slope or rate of change:

By comparison:

[tex]m = 3[/tex]

For table (C):

We start by picking any two equivalent points on the table:

[tex](x_1,y_1) = (1,7)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Next, we determine the slope, m:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12-7}{2-1}[/tex]

[tex]m = \frac{5}{1}[/tex]

[tex]m = 5[/tex]

This represents the rate of change:

For (D):

The $1.00 paid every week represents the rate of change.

So:

[tex]m = 1[/tex]

For A - D:

The rate of change are:

[tex]A = 2[/tex]

[tex]B = 3[/tex]

[tex]C = 5[/tex]

[tex]D = 1[/tex]

5 is the greatest.

Hence, (c) has the greatest rate of change

7-3x=x-4(2+x) please help with work

Answers

Answer:

7-3x=x-4(2+x)

7-3x=x-8-4x

7-3x-x=-8-4x

7-4x=-8-4x

-4x+4x=-8-7

0 =-15

=-15/0

=0

Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2

Answers

Answer is 68x bud thanks for lettting me ANWSER

Help pls 10 POINTSSSSS HELP MEEEE

Answers

Answer:2492.1

Step-by-step explanation:2130 times 4.25% times 4 =362.1

help!! i do not know what to do. 8th grade math!!

Answers

Answer:

Yes

Step-by-step explanation:

The productivity consistanly increases by 3/2.

Answer:

i think its (0,0) and (11,7)

sorry if im wrong

Step-by-step explanation:

Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.

Answers

Answer:

Step-by-step explanation:

Gjbvhobcfu

Answer:

I cannot see the question

Step-by-step explanation:

Which fraction is greater than 1/2 and less than 3/4 ?

Answers

Answer:

a. [tex] \frac{2}{3} [/tex]

Step-by-step explanation:

The fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex] and less than [tex] \frac{3}{4} [/tex].

How do we know this? See below how the fractions are compared together.

First, compare [tex] \frac{2}{3} [/tex] and [tex] \frac{1}{2} [/tex].

Find a common denominator for both fractions:

Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:

[tex] \frac{2 \times 2}{3 \times 2} = \frac{4}{6}[/tex] and

[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} [/tex].

Compare the numerators. Which one is greater?

Form the calculation above:

[tex] \frac{2}{3} = \frac{4}{6} [/tex] has a numerator of 4.

.

[tex] \frac{1}{2} = \frac{3}{6} [/tex] has a numerator of 3.

Since 4 is greater than 3, therefore, the fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex].

✍️Compare [tex] \frac{2}{3} [/tex] and [tex] \frac{3}{4} [/tex].

Find a common denominator for both fractions

[tex] \frac{2 \times 4}{3 \times 4} = \frac{8}{12} [/tex] and

[tex] \frac{3 \times 3}{4 \times 3} = \frac{9}{12} [/tex]

Comparing their numerator, 8 is less than 9, therefore:

[tex] \frac{2}{3} [/tex] is less than [tex] \frac{3}{4} [/tex].

✔️We can conclude that:

[tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex], and less than [tex] \frac{3}{4} [/tex].

Use the distributive property to find the value of x.

-1.2(3 – x) = -1.8

-3.6 + 1.2x = -1.8

1.2x = 1.8

x = ___

Answers

Answer:

i combined multiplied terms into a single fraction , then multiply all by the same value to eliminate common denominators simplify and divide and get x=1.5

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

its 1.5

promise

i did edge

Which is a mathematical statement consisting of a hypothesis and conclusion that has to be proven true?

definition
diagram
postulate
theorem

Answers

The answer to the question provided is theorem.

Answer:

theorem

Step-by-step explanation:

Shown in picture (Edge 2021)

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