Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
Answer:
Kenny is 18 years old Andrew is 10 years old Tim is 30 years old and Cameron is 5 years old
Step-by-step explanation:
Let a be Kenny's age , b be Andrew's age , c be Tim's age , d be Cameron's age
( b < a , b<c , d<b)
Kenny is 8 years older than Andrewn = > a = b + 8 (1)
Tim is 3 times as old as Andrew => c = 3 . b (2)
Cameron is 5 years younger than Andrew => d = b-5 (3)
The combined age of the four is 63 => a+b+c+d = 63 (4)
(1),(2),(3),(4) => b+8 + b + 3b + b-5 = 63 <=> 6b + 3 = 63 <=> b = 10
=> a= 10+8 =18, c = 3 . 10 = 30, d= 5
Answer:If I’m correct I believe seven you cars for 16.45 would be better
Step-by-step explanation:
Since three cars cost 7.50 you would divide 7.50 to get the cost for each car which would give you 2.50 and since seven cars cost 16.45 you would divide 16.45 by 7 to get the cost of each car which would come out to 2.35 making it a better buy
