Answer:
This is the correct way to set up the equation:
9x + 88 + 6x + 182 = 180
I'm going to move some things around so we can combine like terms. It now reads:
9x + 6x + 88 + 182 = 180
9x + 6x = 15x, so the equation now reads:
15x + 88 + 182 = 180
88 + 182 = 270, so the equation reads:
15x + 270 = 180
Subtract the 270 from both sides. 180 - 270 is -90:
15x = -90
Divide both sides by 15. -90 divided by 15 = -6:
x = -6
Now we can substitute -6 back into the separate equations.
9(-6) + 88 = ?
9 times -6 is -54. -54 + 88 = 34.
6(-6) + 182 = ?
6 times -6 = -36. -36 + 182 = 146
Now we can add 34 and 146 together.
34 + 146 = 180
I hope I helped answer your question!
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
hi
Answer:
8 and 9
Step-by-step explanation:
Let the two consecutive integers be x - 1 and x
Smaller = x-1
Largere = x
If the square of the smaller integer is nineteen more than five times the larger integer, then;
(x-1)² = 19 + 5x
Expand
x²-2x+1= 19+5x
x²-2x-5x+1-19 -0
x²-7x-18 =0
Factorize
x²-9x+2x-18 =0
x(x-9)+2(x-9) = 0
(x+2) = 0 and x - 9 = 0
x = -2 and 9
SInce x cannot be negative;
x = 9
Smaller number = 9-1
Smaller number = 8
Hence the two consecutive integers are 8 and 9
Let's calculate Charlie swimming distance. Assume Charlie swimming distance is D.
D^2 = 400^2 + 100^2 => D = 412 meters
Assume d is Carter's distance.
d^2 = 400^2 + 150^2 => d = 427 meters
Carter swims more than Charlie by:
d - D = 427 - 412 = 15 meters
