The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
<h3>
What is Linear Equation?</h3><h3>
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.</h3>
Here, 6k + 10.5 = 3k + 12
6k - 3k = 12 - 10.5
3k = 1.5
k = 1.5/3
k = 1/2
Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
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Answer to the first problem is 3 3/9
Reasoning:
To do these equations, you must change the mixed numbers into just fractions. I will do the first problem :)
2 divided by 3 2/3.
The first step in solving this equation is changing 3 2/3 back into a fraction.
To do this, do the denominator (3) times the whole number (also 3) and then add the numerator (2). 3 x 3 = 9. 9 is now your numerator and 3 is your denominator. 9/3
After this you want to put 10/1 MULTIPLIED by 3/9 (when dividing fractions you must flip the second fraction AND THEN MULTIPLY)
So 10/1 MULTIPLIED by 3/9 = 30/9
It then wants us to simply our answer. To do this, divide 30/9 by 9. You’ll get 3 3/9 as your answer for question 1!
Here is a pic to look at if you need anymore help!
Answer:
The simplification of the given expression (r3s2t)4 is:
r¹²s⁸t⁴
Step-by-step explanation:
Given expression:
(r³s²t)⁴
power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:
= (r³)⁴(s²)⁴(t1)⁴
= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴
= r¹²s⁸t⁴
C because it is to the nearest tenth I think
I believe the answer would be $63,600.
Hope this helps ;}