If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000
but w = 2h - 16000
We can turn it into..
2h - 16000 + h = 110000
Which we can then combine into..
3h - 16000 = 110000
Add 16000 and..
3h = 126000
Divide by three...
h = 42000
(nice)
The husband earns 42,000$ a year
Bonus: The wife then earns 68,000$
42,000 (or h) + 68,000 (or w) = 110,000
Because this is the original equation, we are correct.
Answer:
8 bags of pretzels
Step-by-step explanation:
Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...
1.50x + 2.00(12-x) = 20.00
-0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms
-0.50x = -4.00 . . . . . . . . . . .subtract 24
x = 8 . . . . . . . . . . divide by -0.50
Tim will buy 8 bags of pretzels.
Answer: x is less than or equal to -4.25
Step-by-step explanation:
Since the dot on the number line is filled in it is either a less than or equal to or a greater than or equal to. Because the line is going more into negative or descending, it is less than or equal to.
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.
