<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
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The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
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To find the unit rate, divide total miles by number of gallons:
418 miles / 16 gallons = 26.125 miles per gallon
Round the answer as needed.
10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches.
126 : 7 = 18
The scale factor of the model to the actual car is 1 : 18.
Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
<h3>
Answer: y = (9/4)x - 2</h3>
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Explanation:
Line K is 9x-4y=-5*4 which is the same as 9x-4y=-20
Rule: Anything parallel to Ax+By = C is of the form Ax+By = D.
The equation 9x-4y=-20 has A = 9, B = -4 and C = -20.
That means Ax+By = D becomes 9x-4y = D.
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Plug in the coordinates (x,y) = (4,7) and compute the value of D.
9x-4y = D
D = 9x-4y
D = 9(4)-4(7)
D = 36 - 28
D = 8
So 9x-4y = D becomes 9x-4y = 8
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The last step is to solve for y to get the equation in y = mx+b form.
9x-4y = 8
-4y = 8-9x
-4y = -9x+8
y = (-9x+8)/(-4)
y = (-9x)/(-4) + 8/(-4)
y = (9/4)x - 2 is the slope-intercept form of line L
The equation is in y = mx+b form where,
m = 9/4 = slope
b = -2 = y intercept
