Remember you can do anything to an equaiton as long as you do it to both sides
7x-4=5x+15
minus 5x both sides
2x-4=15
add 4 both sides
2x=19
divide by 2
x=19/2
The answer is 28
30 minutes is half of an hour so you have to divide 7 by 2 which is 3.5 and then multiply 3.5 by 8 to get 28
Answer:
(0, 33) : Yes
(4.8, 30.5) : Yes
Step-by-step explanation:
height of at least 24 ft : y >= 24
horizontal distance of no more than 10 ft. : 0 <= x <= 10
The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:
y >= 3x and y <= 33
So Constraints:
24 <= y <= 33
y >= 3x
0 <= x <= 10
Now check to see if those coordinate points meet all the constraints
(0, 33) : Yes
(4.8, 30.5) : Yes
(9, 26) : No (because 26 is less than (3 * 9) = 27)
(4, 36)
: No (because 36 > 33, must be 24 <= y <= 33)
(2, 22): No (because 22 <24, must be 24 <= y <= 33)
Note that when dividing, and the base is the same, you can subtract the power signs.
(5^5)/(5^2) = 5^(5 - 2)
5 - 2 = 3
5^3 = a^b
Simplify.
5^3 = 5 x 5 x 5
5 x 5 x 5 = 125
c = 125
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125 is your answer
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hope this helps