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3 years ago

5

Need help rewriting the equation

1 answer:

kvv77 [185]3 years ago

5 0

Given:

The equation is:

$2-\dfrac{5}{6}x=\dfrac{7}{8}$

To find:

The simplified for of the given equation so that it does have fractions.

Solution:

We have,

$2-\dfrac{5}{6}x=\dfrac{7}{8}$

Denominators values are 6 and 8. LCM of 6 and 8 is 24 so multiply both sides by 24.

$24\left(2-\dfrac{5}{6}x\right)=24\times \dfrac{7}{8}$

$24(2)-24\left(\dfrac{5}{6}x\right)=24\times \dfrac{7}{8}$

$48-4\times 5x=3\times 7$

$48-20x=21$

Therefore, the required equation is $48-20x=21$ .

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Volume is a three-dimensional measure.<br> true<br> false

Xelga [282]

True, volume is a tree dimensional measure.

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3 years ago

Find the distance from point A to the given line.

VMariaS [17]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the distance between the line which formed like :

$ax + by + c = 0$

and the point which is like :

$h = \binom{m}{n} \\$

we use following equation :

$d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\$

_________________________________ Step (2)

$y = - x + 4$

$x + y - 4 = 0$

So ;

$a = 1$

$b = 1$

$c = - 4$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\$

$d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\$

$d = \frac{3}{ \sqrt{2} } \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

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5 0

3 years ago

How much should Jordan budget monthly for an annual expenditure that coast $614.66? *<br> TIMED!

poizon [28]

Answer:

he should budget about $51.22

Step-by-step explanation:

annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66

6 0

3 years ago

Read 2 more answers

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-grade

nika2105 [10]

Answer:40

Step-by-step explanation:6/30

6x30=180

6x6=36

4/6=20

4+36=40

8 0

3 years ago

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both

Leokris [45]

Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be $\frac{1}{t}$ .

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is $0.8t$ .

Part of pool filled by Bob's hose in 1 hour would be $\frac{1}{0.8t}$ .

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be $\frac{1}{12}$ .

Now, we will add rates of both hoses and equate with $\frac{1}{12}$ as:

$\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8+1}{0.8t}=\frac{1}{12}$

$\frac{1.8}{0.8t}=\frac{1}{12}$

Cross multiply:

$0.8t*1=1.8(12)$

$0.8t=21.6$

$\frac{0.8t}{0.8}=\frac{21.6}{0.8}$

$t=27$

Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: $0.8t\Rightarrow 0.8(27)=21.6$ .

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

3 0

4 years ago