Answer:
a. 0.9
b. y=0.9x, where y is the cost and x is the amount of songs.
c. She should use the package price from the online music vendor (the first option)
Step-by-step explanation:
a.
The constant of proportionality is k in y=kx. Take a point form the graph ( lets say (5,4.5) ) and sub it in:
y=kx
4.5=5k
k=0.9
b.
The equation of a line is y=kx when it passes though the origin (which this one does). We know the value of k, so our equation is y=0.9x, where y is the cost and x is the amount of songs.
c.
Susan downloads 60 songs monthly. We're being asked if it would be cheaper to use the service where you play $58 total, or $0.90 per song. So for the package price, let's figure out the total cost (y) for 60 songs (x=60):
y=0.9x
y=0.9(60)=$54
So it would be cheaper to use the package price from the online music vendor.
Answer:
$6.07/hr. if I understand the question properly. See below.
Step-by-step explanation:
I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.
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Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:
<u>Hours</u> <u>Rate($/hr)</u>
40 x
3 1.5x
<u> 6 </u> 2x
49
Her total income over this period would be:
40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]
Her average income per hour would be:
(40x +3(1.5x) + 6(2x))/49
which we are told is $7/hr.
(40x +3(1.5x) + 6(2x))/49 = 7
40x + 4.5x + 12x = 343
56.5x = 343
x = $6.07/hr
I think it’s 305 because there are 360 degrees about a point so 55 clockwise would be 305 anti-clockwise
Answer:
475
Step-by-step explanation:
Is means equals. We need to change 8% to a decimal. 8% = .08. Of means multiply. X is the unknown number.
38 = .08 * x
Divide each side by .08
38/.08 = .08x /.08
475 = x
The unknown number is 475
40.) 10.5^2 and the area is 110.25
41.) 126
42.) 81 millimeters
