Answer:
19 and 23/55
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Find the slope of the line through (x1,y1) = (0,6) and (x2,y2) = (2,0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(2 - 0)
m = -6/2
m = -3
The slope is -3
Since we're given the point (0,6) to be on the line, we know the y intercept is b = 6.
Plug m = -3 and b = 6 into y = mx+b to get y = -3x+6
Answer: Choice D) y = -3x+6
9514 1404 393
Answer:
(x, y) = (1/2, 5)
Step-by-step explanation:
We observe that the y-terms have coefficients 7 and -14. If we want to eliminate the y-terms, we need to multiply 7 by a factor that makes it be the opposite of -14. That factor will be -(-14)/7 = 2.
After multiplying the first equation by 2, we have ...
- 16x +14y = 78
- 4x -14y = -68
Adding these two equations gives ...
20x = 10
Solving for x, we need to divide by 20:
x = 10/20 = 1/2
Substituting this into the first equation, we get ...
8(1/2) +7y = 39
7y = 35 . . . . . . subtract 4
y = 35/7 = 5 . . . divide by 7
Then the solution is (x, y) = (1/2, 5).
_____
<em>Check</em>
We used the first equation to find y, so we know the x- and y-values satisfy the first equation. We need to check the result using the second equation.
4(1/2) -14(5) = -68
2 -70 = -68 . . . . . . . true; result checks OK
Based on the average SAT Math score that the graduating classes got, the comparison is that this year's graduating class did better than last year's graduating class.
<h3>How can both classes be compared?</h3><h3 />
The average score is used to show the general trend of scores that students were able to attain.
The average score of 530 that this year's graduating class attained is higher than the average of the previous graduating year which is 520.
This means that on average, this year's graduating class did better than that of last year because their general trend was higher.
Find out more on interpreting averages at brainly.com/question/1136789
#SPJ1
Answer:
2 years and 6 months
Step-by-step explanation:
4000 * 0.02 = 80
80 * 2.5 = 200
