Answer:
25 and 18
Step-by-step explanation:
To evaluate an expression, substitute the values x=6 and y=4 into each expression. Replace the x and y with these values then simplify.
9x - 29 ------> 9(6)-29 = 54 - 29 = 25
7y - 10 ------> 7(4) - 10 = 28 - 10 = 18
Proof (reasons are given in brackets):
Consider , :
(given)
(vertically opposite angles are equal)
(given)
(SAS)
Hope this helps :)
Because the angles are vertical angles, they are equal.
Set the equations equal to each other:
5x+100 = 3x+112
Subtract 100 from 112:
5x = 3x+12
Subtract 3x from 5x:
2x = 12
Divide 12 by 2:
x = 6
x is equal to 6
Sure. So the hundreds digit is after the tens digit which is 3, so therefore it's 4. The millions digit is 7 places to the left, so it's 7. Ten thousands digits are 5 places to the left, so it's 9. The hundred thousands is 6 to the left, therefore 8. Finally, the thousands is 4 places to the left, so it's 0. Hope this helped!
This is a great example of a word problem with way too much information. You have to decipher the important info. Since you are asked to discover the hourly rate, you only need to worry about the last example (and the fact that a trip fee is $45).
Let's set it up: (Let H represent the hourly wage)
$303 = (6H) + $45 (Move both dollar amounts on the left side and leave 6H on the right)
$303 - 45 = 6H (Subtract the money on the left)
$258 = 6H (Divide 258 by 6)
$43 = H