617513.4668 is the answer
Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.
Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!
$50 each
(2 books + 1 book : $100 + $50 = $150)
Answer:
23) x= 3, y = 4
24) Any (x,y) values where x = 1.5 - 2y
Step-by-step explanation:
For the first system(23), it goes like this
[1 2 | 7]
[2 1 | 8]
We need to do L2 = L2 - 2L1, so now it is
[1 2 | 7]
[0 -3 |-6]
So, now we have:
-3y = -6 *(-1)
3y = 6
y = 2
x + 2y = 7
x + 4 = 7
x = 3
Now for system 24, we have:
[-1 2 | 1.5]
[2 -4| 3]
We do L2 = L2 + 2L1, so we have:
[-1 2 | 1.5]
[0 0| 0]
So there are infinite solutions for this system. The solution for this system will be each (x,y) pair where x = 1.5 - 2y.
<h3>The measure of angle y is 35.68 degrees</h3>
<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,
![sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68](https://tex.z-dn.net/?f=sin%5C%20y%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%5C%5Csin%5C%20y%20%3D%20%5Cfrac%7B7%7D%7B12%7D%5C%5C%5C%5Csin%5C%20y%20%3D%200.5833%5C%5C%5C%5Cy%20%3D%20sin%5E%7B-1%7D%5C%200.5833%5C%5C%5C%5CUse%5C%20arcsin%5C%20calculator%5C%5C%5C%5Cy%20%3D%2035.6829%20%5C%5C%5C%5Cy%20%5Capprox%2035.68)
Thus measure of angle y is 35.68 degrees