Answer:
(-9,5) or x = -9 and y = 5
Step-by-step explanation:
Hope this helps!
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
11440000 meters because you multiply all measures
Answer:
Maura runs at a pace of a 15 minute mile. Ava runs at a pace of a 16:40 minute mile. Maura runs faster.
Step-by-step explanation:
To get this answer I divided 1.25 by 5 which is .25. Then if you divide 60 minutes by .25 the answer is 15 minutes making her run at a pace of 15 minutes per mile. I did a similar calculation for Ava. I divided 50 by 3 which gave me 16.6667. Then i figured out what 2/3 of a minute was, which is 40 seconds. That led me to the conclusion that Ava runs at a pace of 16:40.
hope this helps!!
Answer: Y= 67
Step-by-step explanation:
The equation says;
Y= 15x + 7
When x=4
We have Y= 15(4)+7 by substituting the value of x for the equation. So, we have
Y=60+7
Y= 67
