5a+4b/c=2 [solve for a]
1 answer:
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Bart company charges a lower rate. It is lower by rate $ 0.5 per hour
<h3><u>Solution:</u></h3>Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours
Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours
To find: company that charges lower rate
Let us find the hourly rate of Ace and Bart
<em><u>Hourly rate of Ace company:</u></em>
Rental price = $28
total time in a day 8 hours
So the hourly rate of Ace company is $ 3.5 per hour
<em><u>Hourly rate of Bart company:</u></em>
Rental price = $ 30
total time in a day 10 hours
So the hourly rate of Bart company is $ 3 per hour
<em><u>Comparing hourly rate of both companies</u></em>
Ace company is $ 3.5 per hour
Bart company is $ 3 per hour
Bart company < Ace company
3 < 3.5
Thus bart company charges a lower rate
<h3><em><u>How much lower?</u></em></h3>hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5
So, it is lower by rate $0.5 per hour
Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
, which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.