<h3>
Answer: $2400</h3>
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Explanation:
x = Mason's salary in dollars for that month
x/6 = one-sixth of his salary
x/6+800 = total amount spent (the x/6 dollars and $800 combined)
In total, he spent half his salary. This means he spent x/2 dollars for the month overall.
Set the two items equal to one another. Solve for x.
x/6 + 800 = x/2
6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page
x+4800 = 3x
4800 = 3x-x
4800 = 2x
2x = 4800
x = 4800/2
x = 2400
His monthly salary is $2400
1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.
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Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.
2y+3x-5x^2-g contains 4 terms that cannot be further simplified without know the values for the variables y, x, and g. Although 3x and -5x^2 contain the same variable x, since they have have different exponents, we can not directly add them together without knowing the value of x.
The answer is 4.
Answer:
Step-by-step explanation:
An ellipse centered a point (h,k) has the following formula:
The distance between foci is:
![2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}](https://tex.z-dn.net/?f=2%5Ccdot%20c%20%3D%20%5Csqrt%7B%5B8-%28-8%29%5D%5E%7B2%7D%2B%280-0%29%5E%7B2%7D%7D)
The center of the ellipse is:
The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:
The length of the semi-minor axis is given by the following expression:
The equation of the ellipse is:
She can only buy two since the bracelet and shipping is $7 together so you can buy two $14
