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ycow [4]
3 years ago
12

A senior paid $3.47, $9.50 and $2.50 for lunch during a basketball tournament. What was the average amount he paid over three da

ys?
Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

The average amount he paid over 3 days is $15.47.

Step-by-step explanation:

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points C,D, and E are collinear on CE, and CD:DE = 3/5. C is located at (1,8), D is located at (4,5), and E is located at (x,y).
kap26 [50]

Answer:

The point E is located at (9,0)

x=9, y=0

Step-by-step explanation:

we have that

Points C,D, and E are collinear on CE

Point D is between point C and point E

we know that

CE=CD+DE -----> equation A (by addition segment postulate)

\frac{CD}{DE}=\frac{3}{5}

CD=\frac{3}{5}DE ------> equation B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

<em>Find the distance CD   </em>

we have

C(1,8), D(4,5)

substitute in the formula

CD=\sqrt{(5-8)^{2}+(4-1)^{2}}

CD=\sqrt{(-3)^{2}+(3)^{2}}

CD=\sqrt{18}\ units

<em>Find the distance DE</em>

substitute the value of CD in the equation B and solve for DE

\sqrt{18}=\frac{3}{5}DE

DE=\frac{5\sqrt{18}}{3}\ units

<em>Find the distance CE</em>

CE=CD+DE

we have

DE=\frac{5\sqrt{18}}{3}\ units

CD=\sqrt{18}\ units

substitute the values in the equation A

CE=\sqrt{18}+\frac{5\sqrt{18}}{3}

CE=\frac{8\sqrt{18}}{3}

<em>Applying the formula of distance CE</em>

we have

CE=\frac{8\sqrt{18}}{3}

C(1,8), E(x,y)    

substitute in the formula of distance

\frac{8\sqrt{18}}{3}=\sqrt{(y-8)^{2}+(x-1)^{2}}

squared both sides

128=(y-8)^{2}+(x-1)^{2}  -----> equation C

<em>Applying the formula of distance DE</em>

we have

DE=\frac{5\sqrt{18}}{3}\ units

D(4,5), E(x,y)    

substitute in the formula of distance

\frac{5\sqrt{18}}{3}=\sqrt{(y-5)^{2}+(x-4)^{2}}

squared both sides

50=(y-5)^{2}+(x-4)^{2}  -----> equation D

we have the system

128=(y-8)^{2}+(x-1)^{2}  -----> equation C

50=(y-5)^{2}+(x-4)^{2}  -----> equation D

Solve the system by graphing

The intersection point both graphs is the solution of the system

The solution is the point (9,0)

therefore

The point E is located at (9,0)

see the attached figure to better understand the problem

6 0
3 years ago
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