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inna [77]
3 years ago
11

Three friends will be driving to an amusement park that is two hundred4/5 mi from their town. If each friend drives the same dis

tances , how far will each driver? Explain how you decided which operation to use to solve this problem
Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0
200 4/5 because all the friends drive the same distance to the amusement park that is 200 4/5 miles away, unless there is more to the question I think that is correct 
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Can someone help please?!?! Quickly
Yanka [14]

Part 1) Finding x

Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.

Therefore, XZ is twice as long as XY

XZ = 2*( XY )

XZ = 2*( 2x-1 )

XZ = 4x - 2

We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x

6x-8 = 4x-2

6x-4x = -2+8

2x = 6

x = 6/3

x = 3

<h3>Answer is 3</h3>

=====================================

Part 2) Finding the length of YZ

The resut of part 1 (x = 3) is plugged into the equation for XY to get

XY = 2*x-1

XY = 2*3-1

XY = 6-1

XY = 5

Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).

<h3>Answer: 5</h3>

=====================================

Part 3) Finding the length of segment XZ

The answer from the previous part was 5. This doules to 5*2 = 10

-----

A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...

XZ = 2*(3x-4)

XZ = 2*(3*3-4)

XZ = 2*(9-4)

XZ = 2*5

XZ = 10

and we get the same answer

<h3>Answer: 10</h3>
5 0
4 years ago
Given equations A and B as 2/5x+y=12 and 5/2y-x=6, respectively, which expression will eliminate variable x?
balu736 [363]
The answer is C.) A+2/5B.
Adding equation A to 2/5B will result in canceling the x terms, i.e. 2/5x + 2/5(-x) = 0.
6 0
4 years ago
Read 2 more answers
The graph shows outdoor temperatures (°F) recorded one fall evening in Ohio. At what
k0ka [10]

Answer: Answer is D, if I'm not mistaking

Step-by-step explanation:

sorry if im wrong.

5 0
2 years ago
You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 14 percent, –9 percent, 16 perc
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Answer:

a. 9%

b. 0.01445

c. 12.02%

Step-by-step explanation:

n = 5 years

Return rates = 14%, –9%, 16%, 21%, and 3%

a. Arithmetic average return

A= \frac{14-9+16+21+3}{5} \\A=9.00

b. Historical variance (to 5 decimal places)

V= \frac{\sum (X_i-A)^2}{n-1} \\V= \frac{(0.14-0.09)^2+(-0.09-0.09)^2+(0.16-0.09)^2(0.21-0.09)^2(0.03-0.09)^2}{5-1}\\ V=0.01445

c. Standard deviation.

s = \sqrt{V} \\s= \sqrt{0.01445}\\s=0.1202 = 12.02\%

8 0
3 years ago
Alex types 1/2 of a page in 1/2 an hour. How long will it take him to type 1 page?
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B. 1 hour, he takes the exact amount of time that he types.
5 0
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