Answer:
![\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7BA%29%20%7D%20%5Cdfrac%7B6%7D%7Bx%7D%20%3D%20%5Cdfrac%7B9%7D%7B%5C%247.74%7D%7D)
Step-by-step explanation:
9 pencils cost $7.74
6 pencils cost x
The ratios are
![\dfrac{9}{6} = \dfrac{\$7.74}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B6%7D%20%3D%20%5Cdfrac%7B%5C%247.74%7D%7Bx%7D)
According to the alternendo property,
![\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B6%7D%20%3D%20%5Cdfrac%7B%5C%247.74%7D%7Bx%7D%20%5CRightarrow%20%5Cdfrac%7B9%7D%7B%5C%247.74%7D%20%3D%20%5Cdfrac%7B6%7D%7Bx%7D%5C%5C%5C%5C%5Ctext%7BThe%20correct%20answer%20is%20%24%5Clarge%20%5Cboxed%7B%5Cmathbf%7B%20%5Cdfrac%7B6%7D%7Bx%7D%20%3D%20%5Cdfrac%7B9%7D%7B%5C%247.74%7D%7D%7D%24%7D)
Answer:
Step-by-step explanation:
Use the law of sines.
![\frac{sin A}{a} = \frac{sin B}{b} \\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%20B%7D%7Bb%7D%20%5C%5C)
Plug values in.
![\frac{sin88}{17} = \frac{sin42}{b}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin88%7D%7B17%7D%20%3D%20%5Cfrac%7Bsin42%7D%7Bb%7D%5C%5C)
Cross multiply.
![bsin88 = 17sin42\\b = 11.38](https://tex.z-dn.net/?f=bsin88%20%3D%2017sin42%5C%5Cb%20%3D%2011.38)
Hope that helps.
Answer:
D
Step-by-step explanation:
It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).
So it is true that the line did go through at points (0,6) and (1,5).
Answer:
![x=2.8](https://tex.z-dn.net/?f=x%3D2.8)
Step-by-step explanation:
![7x+3=10x-5.4](https://tex.z-dn.net/?f=7x%2B3%3D10x-5.4)
Subtract 3 from both sides:
![7x+3-3=10x-5.4-3](https://tex.z-dn.net/?f=7x%2B3-3%3D10x-5.4-3)
![7x=10x-8.4](https://tex.z-dn.net/?f=7x%3D10x-8.4)
Subtract 10x from both sides:
![7x-10x=10x-8.4-10x](https://tex.z-dn.net/?f=7x-10x%3D10x-8.4-10x)
![-3x=-8.4](https://tex.z-dn.net/?f=-3x%3D-8.4)
Divide both sides by -3:
![\frac{-3x}{-3}=\frac{-8.4}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%7D%7B-3%7D%3D%5Cfrac%7B-8.4%7D%7B-3%7D)
![x=2.8](https://tex.z-dn.net/?f=x%3D2.8)