I believe it is the ratio 3 : 1.
<u>18 students chose the turkey sandwich</u>.
Since the class has a total of 24 students, we can deduce that <u>6 students chose the vegetarian sandwich</u>.
This gives us a ratio of 18 : 6.
When simplified, we get a ratio of 3 : 1.
Answer:
!!!
Step-by-step explanation:
Let's do this in steps, show your work!
<u>#1. We need to move all terms to one side.</u>
<u>x^2 - 7x = 0</u>
<u>#2. Then factor out the common term x.</u>
<u>x(x - 7) = 0.</u>
<u>#3. Simplify to get..</u>
<u>x = 0, 7.</u>
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If you need help with any other question let me know.
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Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
Answer:
Step-by-step explanation:
2x - 3y = 9
-3y = -2x + 9
Parallel lines have same slope.So,
Slope m = 2/3
(4 , -1)
Equation: y - y1 = m(x - x1)
![y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}](https://tex.z-dn.net/?f=y-%5B-1%5D%3D%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7D%2Ax%20-%20%5Cfrac%7B2%7D%7B3%7D%2A4%5C%5C%5C%5Cy%2B1%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-1%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B8%7D%7B3%7D-%5Cfrac%7B3%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B11%7D%7B3%7D)
b = -11/3
