The lowest one is 4, just multiply the first fraction by 2
Answer: y=x-6
Step-by-step explanation:
2x-2y-12=0
1. Add 2y to both sides:
2x-12=2y
2. Divide both sides by 2
x-6=y
Answer:
0.2
Step-by-step explanation:
Convert the walking to percent
![\frac{1}{2} \times 100 = 50](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20100%20%3D%2050)
Add both skateboarding and walking
![30\% + 50\%\\\\= 30 + 50\\\\= 80](https://tex.z-dn.net/?f=30%5C%25%20%2B%2050%5C%25%5C%5C%5C%5C%3D%2030%20%2B%2050%5C%5C%5C%5C%3D%2080)
Now, subtract that from a whole percent
![100 - 80 = 20\\\\20\%](https://tex.z-dn.net/?f=100%20-%2080%20%3D%2020%5C%5C%5C%5C20%5C%25)
Convert it to a decimal
![20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2](https://tex.z-dn.net/?f=20%5C%25%20%3D%20%5Cfrac%7B20%7D%7B100%7D%20%5C%5C%5C%5C%3D20%20%5Cdiv%20100%5C%5C%5C%5C%3D%200.2)
Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.
Answer:
![a. \quad\dfrac{\left|\begin{array}{cc}148&14\\246&5\end{array}\right|}{\left|\begin{array}{cc}-2&14\\3&5\end{array}\right|}=52](https://tex.z-dn.net/?f=a.%20%5Cquad%5Cdfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D148%2614%5C%5C246%265%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D-2%2614%5C%5C3%265%5Cend%7Barray%7D%5Cright%7C%7D%3D52)
Step-by-step explanation:
To find the value of x, Cramer's rule says you replace the x-coefficients with the equation constants to form the matrix whose determinant is the numerator of the fraction. The denominator is the determinant of the matrix of coefficients. The equation constants are 148 and 246, so you expect to find those in the first column of the numerator (answer choices A and C).
![\dfrac{\left|\begin{array}{cc}148&14\\246&5\end{array}\right|}{\left|\begin{array}{cc}-2&14\\3&5\end{array}\right|}=\dfrac{-2704}{-52}=52](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D148%2614%5C%5C246%265%5Cend%7Barray%7D%5Cright%7C%7D%7B%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D-2%2614%5C%5C3%265%5Cend%7Barray%7D%5Cright%7C%7D%3D%5Cdfrac%7B-2704%7D%7B-52%7D%3D52)
The calculation is carried out correctly only in answer choice A.
Answer:
80°
Step-by-step explanation: