You are given 2/3 angles to solve for x;
24+56 = 90
90 + x = 180
x = 90 degrees
Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.
- This question is solved by proportions, using a <em>rule of three</em>.
- 4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?
The <em>rule of three</em> is:
1 tablet - x grams
4 tablets - 0.2 grams
Applying cross multiplication:



Donald should order 4 of the 0.05 gram tablets.
For more on proportions, you can check brainly.com/question/24372153
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Answer:
Step-by-step explanation:
-3x - 21 + 2x -4
-x - 25
-(x + 25)