El has $10.25 to spend at
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The correct display of the expression on a number line is number line (c)
<h3>How to determine the expression that shows how to rewrite 5 − 6 using the additive inverse?</h3>The complete question is added as an attachment
The expression is given as:
5 - 6
Put 6 in a bracket.
So, we have:
5 - 6 = 5 - (6)
Express 6 as --6
So, we have:
5 - 6 = 5 - -(-6)
Rewrite as:
5 - 6 = 5 + (-6)
The above means that the arrow on the number line must start from 5 and moves in the negative direction in 6 units
The correct display of the expression on a number line is number line (c)
Read more about number lines at:
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If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
Learn more about angle here
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Answer: 105 couple tickets and 40 individual tickets
For this I will use the "Graphing Method"
First, we need to set up two equations.
-> Let x be the number of couple tickets.
-> Let y be the number of individual tickets.
-> It is "2x" because a couple means two.
$12x + $8y = $1,580
2x + y = 250
Next, we will graph this.
-> The point at which the two lines intersect is our solution.
-> See attached.
-> x = 105, so 105 couple tickets
-> y = 40, so 40 individual tickets
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
