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3 years ago

Find the length of side x in simplest radical form with a rational denominator

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

rggsktvvg gggggggggggg yyyhhhhg

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(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

mojhsa [17]

Answer:

C) $x=\frac{17}{33}$

Step-by-step explanation:

0.51 repeating decimal

x= 0.51515151

multiply by 100 on both sides

100x = 51.515151.........

x= 0.515151...............

--------------------------------------------(subtract)

99x = 51

divide by 99 on both sides

$x=\frac{51}{99}$

divide both sides by 3

$x=\frac{17}{33}$

5 0

3 years ago

One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0

3 years ago

Which graph represents the solution to this system of inequalities? y ≤ -2x y > 3x − 4

Evgesh-ka [11]

Answer:

Option A,

Only that graph represents the solution to the given system of inequalities.

Answered by GAUTHMATH

3 0

3 years ago

Write the number eighty seven in standard form

Alja [10]

Eighty seven written in standard form would be...
80 + 7 = 87

Good Luck! :)

4 0

3 years ago

Read 2 more answers

Solve the system of equations y=9x+13 y=2x+48

MakcuM [25]

Both are equal y. So you can set them equal to each other

9x+13=2x+48

Subtract 2x from both sides

7x+13=48
Subtract 13 from both sides

7x= 35

X=5

7 0

3 years ago