Based on the ratios of the peanuts mixed with raisins in the versions of the trail mix, the ratios are equivalent for both mixes.
<h3>What are the ratios?</h3>
The first ratio is:
3 : 2
When taken to the simplest terms it is:
3/2 : 2/2
1.5 : 1
The second ratio is:
4.5 : 3
4.5/3 : 3/3
1.5 : 1
The ratios of the peanut and raisins mix are therefore equivalent.
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Answer:
C) 4
Step-by-step explanation:
Arcs on one side of the diameter adds upto 180°.
Therefore,
![(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4](https://tex.z-dn.net/?f=%282%20%2B%2017x%29%20%5Cdegree%20%2B%2054%20%5Cdegree%20%2B%2056%20%5Cdegree%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282%20%2B%2017x%29%20%5Cdegree%20%2B%20110%20%5Cdegree%20%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282%2B%2017x%29%20%5Cdegree%20%3D%20180%20%5Cdegree%20%20-%20110%20%5Cdegree%5C%5C%20%20%5C%5C%20%20%282%20%2B%2017x%29%20%5Cdegree%20%3D%2070%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%202%20%2B%2017x%20%3D%2070%20%5C%5C%2017x%20%3D%2070%20-%202%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B68%7D%7B17%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%204)
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
The answer for 7 x 42 is 294.