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Varvara68 [4.7K]
3 years ago
5

What is the answer to this equation 5/6x+4=422/105-4/5

Mathematics
1 answer:
Bad White [126]3 years ago
4 0

<em><u>The answer to given equation is x = -0.9372</u></em>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}

We have to find the answer to this equation

Let us solve the equation step by step

From given,

\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}

Solve the right side of equation

Take L.C.M for 105 and 5

Prime factor of 5 = 5

Prime factor of 105 = 3 x 5 x 7

Multiply these factors together to find the LCM.

LCM = 3 x 5 x 7 = 105

Thus,

\frac{5}{6}x + 4 = \frac{422 \times 1}{105 \times 1} - \frac{4 \times 21}{5 \times 21}\\\\\frac{5}{6}x + 4 = \frac{422-84}{105}\\\\\frac{5}{6}x + 4 = \frac{338}{105}\\\\\frac{5}{6}x + 4 =3.219\\\\\frac{5}{6}x = 3.219 - 4\\\\\frac{5}{6}x = -0.781\\\\5x = -4.686\\\\x = - 0.9372

Thus the answer to given equation is x = -0.9372

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Step-by-step explanation:

We have been given that you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively. We are asked to prove or disprove that you can measure 4 gallon by successively pouring some of or all of the water in a jug into another jug.

First of all, we will pour 5 gallons of water from 8 gallon jug. Then we will pour 5 gallons of water from 5 gallon jug to 3 gallon jug. That will result in 2 gallons of water in 5 gallon jug.

Now, we will pour 3 gallons of water from 3 gallon jug to 8 gallon jug and pour 2 gallons from 5 gallon jug into 3 gallon jug. That will give us 6 gallons in 8 gallon jug and 2 gallons in 3 gallon jug and empty 5 gallon jug.

In our last step, we will fill 5 gallons jug from 8 gallon jug. After filling 5 gallon jug, we will fill 3 gallons jug from 5 gallon jug. Since 3 gallon jug already contains 2 gallons water, so it can only take one more gallon.

After pouring one gallon from 5 gallon jug, we will get 4 gallons water in 5 gallon jug.

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Read 2 more answers
Write an equation in slope-intercept form for each line.<br> (4,-1) and (-2,-1)
professor190 [17]

With each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5.

<h3>What is slope-intercept form?</h3>

The slope-intercept form is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same vertical y-axis) are obvious. This expression is frequently referred to as y = mx + b.

<h3>According to the given information:</h3>

To begin, are using the slope formula to figure out the average slope between two points here.

Let:

x1 = 4

y1 = -1

x2 = -2

y2 = -1

m = (y2-y1)/(x2-x1)

= (-1 - (-1))/ (4-(-1))

= 0/5

= 0

So the slope is 0.

We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the slope together into a point-slope linear equation. y2-y1 = m(x2-x1).

Let’s plug in the point (5,0).

So we get y-(-0) = (0/5)(x-(-5)) ⇒  y+0

= (0/5)x +  0 ⇒  y

So,

Y = 0

X = 5

with each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5

To know more about slope-intercept visit:

brainly.com/question/19824331

#SPJ4

3 0
1 year ago
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