Answer:
a. y = 10.25x - 60
b. $60
c. 6 hours
Step-by-step explanation:
To find slope of table we use rise/run aka change in y/change in x
- Get two y values, and two x values, ex: (13,73.25),(40,350), now find the change in y and x respectively, (350-73.25)/(40-13) = 276.75/27 = 10.25
- The slope is 10.25, now we find the y-intercept or the amount of money she starts at, using the equation, y = mx+b, m being the slope, b being the y-intercept, y/x being the axes.
- We plug in a x,y value on the same row, along with the slope we just found. 350 = (10.25)(40) + b, 350 = 410 + b, b = -60.
- Therefore the equation is y = 10.25x - 60
To find the amount of money she spent on her uniform, we can look at the value she started with.
- We find the y-intercept, which is already found in the previous question (a).
- The y-intercept or amount she payed for her uniform is $60
To find the amount hours, we can plug in values for y, to solve for x. 'y' is the axis for earnings, so if we set 'y' to 0, that would mean that 'x' amount of hours would make -60 become 0
- Set up the equation: 0 = 10.25x-60
- Solve for x: 60 = 10.25x, x ~= 5.85 hours
- Note that you have to round up to 6 hours because Erin is paid hourly, and working for only 5 hours is not enough, thus the answer would be 6 hours.
Answer:
The number of big pictures are 49 and number of small pictures are 48 .
Step-by-step explanation:
Let us assume that the number of big pictures are x .
Let us assume that the number of small pictures are y .
As given
Big pictures are 56$ each small ones are 34$.
97 were sold at the total of $4,376.
Equations becomes
x + y = 97
56x + 34y = 4376
Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .
56x - 56x + 34y - 56y = 4376 - 5432
-22y = - 1056
22y = 1056
y = 48
Put value of y in the equation x + y = 97
x + 48 =97
x = 97 - 48
x = 49
Therefore the number of big pictures are 49 and number of small pictures are 48 .
Answer:
Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:
We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:
Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.
Substitute:
Solve for <em>b: </em>
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So, the opposite side measures 12.
Then sine will be:
The answer is 6/7 or 5/6 idk but pic would help
Answer:
y = 156(0.82)x
Step-by-step explanation:
Since it is decreasing by 18% you need to subtract .18 from b (which equals 1) and it gives you 0.82.