Answer:
25
Step-by-step explanation:
Let x be the number of students in the class
15 is 60% of x
60% of x can be written as 0.6x
15 = 0.6x
Divide by 0.6 on both sides
25 = x
There are 25 students in the class
Hope this helps :)
Answer:
x=4
Step-by-step explanation:
To solve for x, use inverse operations:
-8x+3 = -29 Subtract 3 from both sides
-8x +3 -3 = -29 -3
-8x = -32 Divide both sides by -8
x = 4
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area =
<span>
<span>
<span>
36,643.59
</span>
</span>
</span>
/ 2
area =
18,321.8 square millimeters
Answer:
42
Step-by-step explanation:
HIJK IS increased by a factor of 3/4 to formH'I'J'K'
so every side is increased by a factor of 3/4
so,Side J'K'=24+24×3/4=42
