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3 years ago

Solve for x.2 1/4x = 8 1/2

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

6 0

Answer:

$\large\boxed{x=3\dfrac{7}{9}}$

Step-by-step explanation:

$2\dfrac{1}{4}x=8\dfrac{1}{2}\qquad\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{2\cdot4+1}{4}x=\dfrac{8\cdot2+1}{2}\\\\\dfrac{9}{4}x=\dfrac{17}{2}\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\dfrac{9}{4\!\!\!\!\diagup_1}x=4\!\!\!\!\diagup^2\cdot\dfrac{17}{2\!\!\!\!\diagup_1}\\\\9x=(2)(17)\\\\9x=34\qquad\text{divide both sides by 9}\\\\x=\dfrac{34}{9}\\\\x=3\dfrac{7}{9}$

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Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equa

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Step-by-step explanation:

Even though the options to choose from are not given in this question we can try and lay our hand on the most likely equation for the number of minutes Jack reads his book.

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Now on a weekly basis jack reads = 5*18

in other words, the equation is simply the number of days times the time spent to read his book per day

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How to write the slope intercept equation for points of (6,0) and (0,-5)?

Vadim26 [7]

Answer:

$y=\frac{5}{6} x -5$

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the slope, but let's label the points to avoid confusion

$x_1=6\\y_1=0\\x_2=0\\y_2=-5$

Now substitute these values into the formula

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{-5-0}{0-6}$

Subtract

m= $\frac{-5}{-6}$

Simplify

m= $\frac{5}{6}$

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y= $\frac{5}{6}x+b$

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

$y=\frac{5}{6} x -5$

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): brainly.com/question/20891204

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