I think you're asking for a numerical answer, but you didn't mention
your score on the final.
Since the final is worth 10% (one tenth) of the grade, that 71 that you
have going into the final is worth 9/10 of the grade. So the way you
calculate your overall average is
Overall score = 1/10 of [ (71 x 9) + score on the final ] .
If you scored absolute zero on the final, your overall average would be
Overall score = (1/10) x [ (71 x 9) + 0 ] = (1/10) (639) = <u>63.9%</u> .
That's the lowest overall score for the class that you can have.
The <u>highest</u> overall score you could have would be if you got 100% on the final.
Then
Overall = (1/10) x (639 + 100) = (1/10) x (739) = <u>73.9%</u> .
If you got a 50% on the final, your overall would be
(1/10) x (639 + 50) = (1/10) x (689) = <u>68.9%</u> .
In general, your overall score for the class, after the final, is going to be
63.9% plus (1 tenth) of your score on the final.
Good luck !
Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.
To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.


GH measures 18.879 units. Rounding this off, we get 18.9 units.
Step 2:
Assume the side HI measures y units. According to Pythagoras' theorem,


So HI measures 23.314 units. Rounding this off, we get 23.3 units.
Step 3:
GHI is a triangle and all triangles have a total angle of 180°.

So ∠G° measures 51°.
Answer:
m
Step-by-step explanation:
m
Answer:
x = 3.5
Step-by-step explanation:
2x + 5 = 12
2x = 7
x = 3.5
Hope that helped!