Answer:
Step-by-step explanation:
Assuming the maximum score for the final is 
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of , their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where 
is the minimum score she needs.
Solving, we get:
.
<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph
Answer:
a = 
x = 
Step-by-step explanation:
Let's solve for a.
8x−5x+4−x=ax+8
Step 1: Flip the equation.
ax+8=2x+4
Step 2: Add -8 to both sides.
ax+8+−8=2x+4+−8
ax=2x−4
Step 3: Divide both sides by x.
Let's solve for x.
8x−5x+4−x=ax+8
Step 1: Add -ax to both sides.
2x+4+−ax=ax+8+−ax
−ax+2x+4=8
Step 2: Add -4 to both sides.
−ax+2x+4+−4=8+−4
−ax+2x=4
Step 3: Factor out variable x.
x(−a+2)=4
Step 4: Divide both sides by -a+2.
Hope this helps!
brainliest?
Area of the circle outside
= πr2
= π(5)2
=25 π
Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π
Area of shaded region
= 25π - 9π - 4π
= 12π square unit
