Step-by-step explanation:
we can find the value of c by Pythagoras theorem
according to Pythagoras theorem
h² = a² + b²
where
h = hypotenuse (i.e. longest side of a right angled triangle)
a = side
b = base
so, we have to find h or hypotenuse here
h² = (24)² + (18)²
h = 576 + 324 = 900
h² = √900 = 30
c = 30
therefore, value of c is 30.
Hope this answer helps you dear!
Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
3/4h= 3 1/2 laps
divide both sides by 3/4
1 hour = 4 2/3 laps
Leslie can do C
1_ 1/3 more laps in an hour than Kayla
Answer:
21
Step-by-step explanation:
To multiply a whole number by a fraction less than one, you have to rewrite the whole number in the expression as a fraction by putting a one under it.
For example, in 10 x 2/5, you would rewrite the 10 to 10/1 x 2/5.
Then, you would multiply the top and bottom of the two fractions. In this case, it would be 10 x 2 and 1x5. This would result in 20/5.
Finally, you would simplify this fraction by dividing. The final answer is 4.
37x + 45y = 7940
75x + 45y = 10,410
Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.
In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).
Now you have 75x + (7940 - 37x) = 10,410
Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410
Subtract 7940 from both sides and you have 38x = 2470.
Divide both sides by 38 and you have x = 65
To solve for y, take you first equation (or even the second one) and substitute c for 65.
(37 x 65) + 45y = 7940
2405 + 45y = 7940
Subtract 2405 from each side.
45y = 5535
Divide each side by 45 and you have y = 123
Regular tickets = $65
VIP tickets = $123
