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Nataly [62]
3 years ago
8

Can someone help please

Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

- 3.21

Step-by-step explanation:

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If you travel 40 miles east and then turn around and drive 12 miles west, the displacement is?
makvit [3.9K]
The answer is 28 miles.

Displacement is not the same as distance. Total distance would be the sum of two distances: 40 + 12 = 52 miles.
However, displacement is the shortest distance from the initial and final position. Take a look at the attached image. Displacement is the difference of two distances:
D = 40 - 12 = 28 miles

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3 years ago
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An object travels 8 miles in 20 minutes at a constant speed. What is the object's
Dominik [7]
It would be 24 miles per hour
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3 years ago
How do I find the value of variables in these situations? (All three)
aksik [14]

Answer:

9. x = 130 degrees

10. x = 98 degrees

11. y = 130 degrees

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4 years ago
What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)? y = –x + 33
sleet_krkn [62]
Y=4x+16

If the line is parallel to y-1=4(x+3), the slope has to be the same, meaning that the slope has to be 4.
Putting this slope and the point into point slope form, we get the equation:

y-32=4(x-4)

Which can be simplified into slope intercept form:
y-32=4x-16
y=4x-16+32
y=4x+16
4 0
4 years ago
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A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
Katena32 [7]

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

3 0
4 years ago
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