0.3(3a-4)-0.05(8a)(-7a)
1 answer:
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Answer:
John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.
Step-by-step explanation:
Given:
John works two jobs.
As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.
One week John worked a total of 60 hours and earned $691.50.
Now, to find hours he work at each job.
Let the job of security guard be hours.
And the job of landscaper be hours.
So, the total hours John worked in a week:
⇒ ............( 1 )
<em>Now, the money earned by John in a week:</em>
<em>Putting the equation ( 1 ) in the place of :</em>
⇒
⇒
<em>Moving variables on one side and the other we get:</em>
⇒
⇒
<em>Dividing both sides by 5.50 we get:</em>
⇒
<u>As a security guard job he worked 27 hours</u><u>.</u>
Putting the value of in equation ( 1 ) we get:
⇒
<u>As a landscaper he worked 33 hours</u>.
Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.
Answer:
(x +1)^2 +(y +0.5)^2 = 22.25
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so is ...
(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)
The circle formula is then ...
(x -h)^2 +(y -k)^2 = r^2
(x -(-1))^2 +(y -(-1/2))^2 = r^2
We can find r^2 by substituting one of the points for (x, y).
(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25
Then the circle equation is ...
(x +1)^2 +(y +0.5)^2 = 22.25
