X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
Answers:
5. 296
6. 479
7. 801
8. 920
9. $281
Step-by-step explanation:
For 5-8, you add the 2 numbers. Line up the numbers by their place value.
For 9, it says she starts with $233. She worked for 6 hours today. She makes $8 for every hour. First, you have to find how much she made today. 6 hrs times $8 for every hr is $48. In total, she has $281 because we added the amount she starts with, and the amount she earned today.
Answer:
Option D is correct
The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.
Step-by-step explanation:
Given the statement: The liquid volume of Eric's water bottle is 3 liters.
Using conversion:
1 liters = 1000 milliliters
Convert 3 liters into milliliters;
using above conversion:
3 liters = 
milliliters.
To find the volume of liquid in 5 of these bottles in milliliters:
Volume of liquid in 1 bottle is, 3000 milliliters.
then;
Volume of liquid in 5 bottles = 
milliliters.
Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters
Answer:
Step-by-step explanation:
If mario gains 25 cents per day and he is seven days overdue, we would do 7 days times 25 cents, the money he gains everyday, that should equal 1.75
:3 happy to help!
