Answer:
- If you score a 0% on your exam, you get 53.9% as your overall grade
- If you score 100% on your exam, you get 83.9% as your overall grade
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Explanation:
Your final is worth 30% of your grade, so the other 70% is what you've already done so far
The expression below
0.30x + 0.70*0.77
represents what your final grade would be in decimal form. We multiply the weights 0.30 and 0.70 with each of their corresponding grade value.
The x represents the decimal form of the final exam score.
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Let's say you get a 0% on the final. That would mean x = 0 and
0.30x + 0.70*0.77
0.30*0 + 0.70*0.77
0.539
So you'd end up with a 53.9% as the overall grade.
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Now let's say you get 100% on the final. We plug in x = 1 since it's the decimal form of 100%
So,
0.30x + 0.70*0.77
0.30*1 + 0.70*0.77
0.839
You would end up with a 83.9% as the overall grade.
Your answers would be c and d because angles across from the exterior angle are equal to it
The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
Answer:
Step-by-step explanation:
254cm
Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
