I believe the correct answer is D)
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
- The mid-point of two points is the <u>mean of the coordinates of each point</u>.
In this problem:
- The points are: A(2, -5) and B(x,y).
- The mid-point is (0, -3).
Applying the concept for both the x and y-coordinates, we have that:
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
Answer:
About 20%
Step-by-step explanation:
The probability of a point on the un-shaded region will be given by;
Area of the shaded region/total area
Considering that the circles are of the same size, then the length of the square is 2d
Area of the square = 4d²
Area of the shaded = (4d² -4π(d/2)²
= 4d² -πd², but π = 22/7
= 6/7d²
Probability = (6/7d² ÷ 4d²) × 100%
= (6/28 d²) × 100%
= 21.42 %
Therefore; the answer is about 20%
Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s
d=s*t
Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles
Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)
d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.
Distance traveled by Miranda.
data:
s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.
d=48 miles/hour * t ⇒d=48t (2)
With the equations (1) and (2), we make an system of equations:
d=80+40t
d=48t
We can solve this system of equation by equalization method.
80+40t=48t
80=48t-40t
80=8t
t=80/8=10
d=48t
d=48*10=480
Answer: the thistance will be 480 miles.
