Answer: there is no solution
Step-by-step explanation: 1/4z — 13 is not the same as 1/4 + 13
Say z = 1 that would simplify as -12 3/4 = 13 1/4 they are not the same so there is no solution
Answer: he sent 574 text messages that month
Step-by-step explanation:
Let x represent the number additional text messages that he sent that month.
If his text messaging complain cost $9 for the first 550 text messages and .20 for additional text messages, it means that the total cost of sending x text messages for a month would be
9 + 0.2(x - 550)
If Tj owes $13.80 for text messaging in the month of March, it means that
9 + 0.2(x - 550) = 13.8
0.2x - 110 = 13.8 - 9
0.2x = 13.8 - 9 + 110
0.2x = 114.8
x = 118.8/0.2
x = 574
Answer:
For average sized artwork (about 11x14" to 30x20"), the common mat width is 2". If you artwork is smaller, you might consider a 1.75 or 1.5" mat.
Step-by-step explanation:
Answer: the y-coordinate that completes the point is 5.
Explanation:
An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.
The output value is y = f(x) and must be found applying the rule (function) to the given input value.
In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).
This is the mathematical procedure:
- x = - 1
- f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
