Answer:1367
Step-by-step explanation:Lets assume the amount spent on everything else be "x".
We know total cost can not exceed $2000.
∴ Forming an inequation to find the amount spent on everything else.
⇒
⇒
Now, solving it to find x
Subtracting both side by 637
⇒
∴
Hence, he can spend maximum of $1367 for eveything else.
The equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
<h3>Equation</h3>
- Assignment in the history, science, and art sections combined = 132 assignment
- Assignment in the math section = x
- Total assignment = 197 assignments
Total assignment = Assignment in math + Assignment in other subjects
197 = x + 132
197 - 132 = x
65 = x
Therefore, the equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
Learn more about equation:
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4x^2 -49 4x^2 -1
---------------- ÷ ---------------------------
14x^2 + 53x+14 14x^2 -3x -2
copy dot flip
4x^2 -49 1 4x^2 -3x-2
---------------- * ---------------------------
14x^2 + 53x+14 4x^2 -1
factor each term
(2x-7) (2x+7) (7 x + 2) (2 x - 1)
------------------- * ---------------------------
(7 x + 2) (2 x + 7) (2x-1)(2x+1)
Cancel
(2x-7) (7 x + 2)
------------------- * ---------------------------
(7 x + 2) (2x+1)
(2x-7) (7 x + 2)
----------------------------
(7 x + 2) (2x+1)
Continue to cancel
(2x-7)
----------------------------
(2x+1)
1 The quadratic crosses the x axis in 2 different places
2 The quadratic has 2 different solutions.
3 The x value of the minimum or maximum is 1/2 way between these 2 solutions.
4 The y value of the minimum or maximum is found by substituting the x value into the original quadratic. (You can't really tell this from the discriminate, but it is an inferred property).
Answer:
The first one is x = 19
The second one is x = 17
Step-by-step explanation:
The first one:
(4x + 3) + (x - 8) = 90 ---> becasue the angle is 90 degrees
substitute 19 and check
The second one:
(7x + 10) + (3x) = 180 ---> because the angle is 180 degrees
substitute 17 and check
Hope this helps! :]
