Answer:
![3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}](https://tex.z-dn.net/?f=3.%5C%20%5Cdfrac%7B3x%7D%7B11x%7D%2C%20%5Cdfrac%7B6%7D%7B22%7D%2C%20%20%5Cdfrac%7B9%7D%7B33%7D%2C%5Cdfrac%7B12%7D%7B44%7D)
![4. -18\\5.\ 400](https://tex.z-dn.net/?f=4.%20-18%5C%5C5.%5C%20400)
Step-by-step explanation:
<u>Solution 3:</u>
Equivalent fractions to are to
be found out.
<u>Method: </u> By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.
1. Multiply with 2:
![\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%20%5Ctimes%202%7D%7B11%20%5Ctimes%202%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B6%7D%7B22%7D)
2. Multiply with 3:
![\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%20%5Ctimes%203%7D%7B11%20%5Ctimes%203%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B9%7D%7B33%7D)
3. Multiply with 4:
![\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%20%5Ctimes%204%7D%7B11%20%5Ctimes%204%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B12%7D%7B44%7D)
If we try to write in variable form, it can be written as:
![\dfrac{3x}{11x}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B11x%7D)
where x is any number.
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<u>Solution 4:</u>
when ![x=-4](https://tex.z-dn.net/?f=x%3D-4)
![2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18](https://tex.z-dn.net/?f=2%20%5Ctimes%20%28-4%29%20-10%5C%5C%5CRightarrow%20-8%20-10%5C%5C%5CRightarrow%20-18)
------------
<u>Solution 5:</u>
![(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400](https://tex.z-dn.net/?f=%2810a%29%5E2%2C%20a%3D-2%5C%5C%5CRightarrow%20%5C%7B10%20%5Ctimes%20%28-2%29%5C%7D%5E2%5C%5C%5CRightarrow%20%28-20%29%5E2%5C%5C%5CRightarrow%20400)
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
Answer:
49
Step-by-step explanation:
2+1.5=3.5
49/3.5=14
Multiply both sides by 19 to get w=171
<span>X^3+6x^2-17x+2-x^3-x^2-11x+36 = </span>5x^2 - 28x + 38