Answer:
![12y+x-12=0](https://tex.z-dn.net/?f=12y%2Bx-12%3D0)
Step-by-step explanation:
If I'm not mistaken by the question, we have
![x+4y=\dfrac{2}{3}x+4](https://tex.z-dn.net/?f=x%2B4y%3D%5Cdfrac%7B2%7D%7B3%7Dx%2B4)
Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)
![3\timesx+3\times4y=3\times\dfrac{2}{3}x+3\times4](https://tex.z-dn.net/?f=3%5Ctimesx%2B3%5Ctimes4y%3D3%5Ctimes%5Cdfrac%7B2%7D%7B3%7Dx%2B3%5Ctimes4)
![3x+12y=2x+12](https://tex.z-dn.net/?f=3x%2B12y%3D2x%2B12)
Putting all terms on the LHS (left hand side) and evaluating,
![12y+x-12=0](https://tex.z-dn.net/?f=12y%2Bx-12%3D0)
Answer:
![5xyz](https://tex.z-dn.net/?f=5xyz)
Step-by-step explanation:
![\frac{15x^2y^3z}{3xy^2}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%5E2y%5E3z%7D%7B3xy%5E2%7D)
Step 1: Divide the numbers
![\frac{15}{3}=5\\\\=\frac{5x^2y^3z}{xy^2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D5%5C%5C%5C%5C%3D%5Cfrac%7B5x%5E2y%5E3z%7D%7Bxy%5E2%7D)
Step 2: Simplify
![\frac{x^2}{x}\\\\= x\\\\=\frac{5xy^3z}{y^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Bx%7D%5C%5C%5C%5C%3D%20x%5C%5C%5C%5C%3D%5Cfrac%7B5xy%5E3z%7D%7By%5E2%7D)
Step 3: Simplify
![\frac{y^3}{y^2} = y\\\\=5xyz](https://tex.z-dn.net/?f=%5Cfrac%7By%5E3%7D%7By%5E2%7D%20%3D%20y%5C%5C%5C%5C%3D5xyz)
Therefore, the simplified answer is ![=5xyz](https://tex.z-dn.net/?f=%3D5xyz)
According to the statement 160 books were given to the class.
The correct option is C.
<h3>What is linear equation?</h3>
One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1. All of the points on a coordinate grid sit on the same line when you identify the values that together make a linear equation true and plot those values.
<h3>According to the given information:</h3>
Let the no. of students be s:
Let the no. of books be b:
Given that there will be 20 books left after each student selects 4 books,
b = 4s + 20
And the remaining students take 5 books each, therefore b=5(s3), even if 3 pupils choose not to take a book.
comparing the value b
4s+20=5(s−3)
4s+20=5s−15
s=20+15
s=35
To do this, change the value of s in b=4s+20 to what is shown below:
b=4(35)+20
b=140+20
b=160
160 books were given to the class.
To know more about linear equation visit:
brainly.com/question/766814
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It helps to draw a picture so you can see which trig ratios to use but...
310 is the hypotenuse of the ski slope and the side length across from the angle you’re looking for is 220, the vertical drop.
You can use sin to find theta.
sinx= 220/310
sinx=0.70967...
x = sin inverse of 0.70967....
x = 45°
Answer:
ANSWER = −6x^5 +9x^4 − 9x^3
Step-by-step explanation:
Let's simplify step-by-step.
(−3x^3) (2x^2 + 3) + 9x^4
Distribute:
=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4
=−6x^5 + − 9x^3 + 9x^4
Answer:
= −6x^5 +9x^4 − 9x^3