All categories

3 years ago

Can someone please simplify these fractions. Simplify 18/42 Simplify 15/40

Mathematics

2 answers:

Sergio039 [100]3 years ago

8 0

18/42 = 3/7

15/40 = 3/8

vovangra [49]3 years ago

5 0

18/42 simplifies to 3/7, the greatest common number you can divide by is 6 so 18/6 is 3 and 42/6 is 7, so 3/7

15/40 simplifies to 3/8. The greatest number you can divide by is 5. So 15/5 is 3 and 40/5 is 8, making 3/8.

You might be interested in

Help me please I suck at math on a whole new level

xz_007 [3.2K]

Answer:

277

Step-by-step explanation:

PEMDAS

E: 3^3 (3x3x3) = 27

M: 27x10 = 270

A: 270+7 = 277

6 0

2 years ago

Can you explain how to do this correctly?

iVinArrow [24]

8/x-7=7/2
16=7(x-7) cross multiply
16=7x-49
-7x=-49-16
-7x=-65 divides each side by -7
-7x/7=-65/7
X=65/7
Alternative form
X=92/7
Which is 1st options in your questions.

Hope this helps!

7 0

3 years ago

10(x + 1) = 5(2x + 2)

kvv77 [185]

Answer:

what does X equal?

Step-by-step explanation:

7 0

3 years ago

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

For which interval is the average rate of change of f(x) negative? On a coordinate plane, a function starts from above quadrant

Harlamova29_29 [7]

The interval for which the average rate of change of f(x) is negative is; from x = 0 to x = 2.5.

For the average rate of change of f(x) to be negative, it means that the change in y and the change in x must have opposite signs.

For example, if the change in y is negative, them the change in x must be positive.

Similarly, if the change in y is positive, then change in x must be negative.

Now, the graph showing this quadratic function is missing and so i have attached it.

From the graph, the only interval at which the rate of change for y and x have opposite signs is from x = 0 to x = 2.5.

In this interval, we see that x is increasing from 0 to 2.5 which is positive change while y is decreasing from 1 to -3 which is negative change.

Read more about average rate of change at;brainly.com/question/8728504

5 0

3 years ago