Answer:
-x + y > -4; x + y < 3 . . . . . last choice
Step-by-step explanation:
The boundary lines are both dashed, so there will be no "or equal to" as part of the inequality symbols (eliminates the second choice).
The downward sloping line has x- and y-intercepts that are both 3, so it will have the equation in intercept form ...
x/3 + y/3 = 1
Multiplying by 3 gives x+y=3. The shading is below it, so the inequality with that line as the boundary is ...
x + y < 3
This inequality is only part of the last choice.
__
The upward sloping line has x- and y- intercepts of 4 and -4, so its equation in intercept form is ...
x/4 + y/-4 = 1
Multiplying by -4 gives -x+y=-4. The shading is above it, so the inequality with that boundary line is ...
-x + y > -4
This inequality is included in the last choice.
For this case we have to:
x: Variable that represents Tyler's age
y: Variable that represents Tiffany's age
According to the data of the statement we can propose the following equations:
To solve we substitute the first equation in the second equation:
So, Tiffany is 14 years old.
Then Tyler has:
Tyler is 18 years old.
Answer:
Tyler: 18 years old
Tiffany: 14 years old
Answer:
The answer is $206,451
Step-by-step explanation
This scenario is asking to subtract 19 percent away from 229,390 .
Step one : Divide 229,390 by 10 ( take away the zero behind the 9 )
Step 2 : Subtract 22,939 from 229,390 since we know ten percent of 229,390 is 22,939 = 206451
2x = -11 + 9
2x = -2
x= 2/2
x= 1
He will spend $5.45 if he is driving 85 miles.
How can we figure this out mathematically?
4.36/68=0.064
That means every mile he drives he spends on average 6 cents.
Now 0.064 * 85 equals $5.45.
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