<span>Part A: M = 12x. (x hours at the rate of $12/per hour)
Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per
hour plus y hours at the rate of $15 per hour)
Part C: Let us first find out the amount earned through regular working hours and overtime hours.
Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360
The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10
Total hours worked during the week = 30 + 10 = 40.</span>
Mercury travels a distance of 153 461 500 kilometers on its orbit.
<h3>How much distance did Mercury travel on its orbit?</h3>
The statement indicates that Mercury has a <em>circular</em> orbit and indicates the <em>central</em> angle covered by translation. The distance traveled is found by definition of <em>circular</em> arc:
s = (2.65 rad) · (57 910 000 km)
s = 153 461 500 km
Please notice that the radius of translation is the distance from the Sun to Mercury.
Mercury travels a distance of 153 461 500 kilometers on its orbit.
To learn more on circular arcs: brainly.com/question/11329794
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Answer:
17.8
Step-by-step explanation:
First:
put the equation together
(2x+3) * (x+2)=91
Secondly:
condense
parenthisis can be dropped and normal problem solving can be used.
5x+2=91
subtract 2 from either side of the =
this will give you 5x=89
next divide 5 from each side because it is multiplying the x
x=17.8
<u>5y</u> = <u>20x - 30</u>
5 5
y = 4x - 6
5(4x - 6) = 20x - 30
5(4x) - 5(6) = 20x - 30
20x - 30 = 20x - 30
<u> +30 +30 </u>
<u>20x</u> = <u>20x</u>
20 20
x = 1
5y = 20(1) - 30
5y = 20 - 30
<u>5y</u> = -<u>10</u>
5 5
y = -2
5(-2) = 20(1) - 30
-10 = 20 - 30
-10 = -10
(x, y) = (1, -2)
