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Soloha48 [4]
3 years ago
5

A car averages 27 miles per gallon if gas costs $4.04 a gallon, which of the following is closest to how much the gas would cost

for this car to travel 2,727 typical miles?
A) $4,444
B) $109.08
C) $118.30
D) $408.04
E) $444.40
Mathematics
1 answer:
Lorico [155]3 years ago
3 0
First divide 2,727 by 27, which gives you 101. Then multiply 101 by $4.04.
This gives you D, $408.04
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Vector v is plotted below. What is the length of the x-component of v?
Rzqust [24]
Answer:

C. 1

Step-by-step explanation:

We can see that each box in the grid is one unit.

We count one box to the right on the horizontal axis and 4 boxes down on the vertical axes to obtain the components of vector v.

See graph in attachment.

Therefore the components of vector v is

\binom{1}{-4}.

The length of the x component is 1 unit

Hence the correct answer is C.

7 0
3 years ago
PLEASE HELP ME
balandron [24]

Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
  • Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
  • Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

7 0
2 years ago
A single die is rolled. find the probability of rolling an eveneven number or a number less than 66.
Kazeer [188]
I assume that you typed even twice and 6 twice.  Since there are only 5 numbers smaller than 6, the probability is 5/6. Please mark Brainliest!!!
6 0
3 years ago
Solve for (y)(x)<br> x-y=1<br> 1/2x+y=5
TEA [102]
Using addition

x-y+1/2x+y=1+5
x+1/2x+0y=6
3/2x=6
\frac{3}{2}x=6
3x=12
x=4

Using the value of x
x-y=1
4-y=1
y=3

With x as 4 and y as 3, their product is 12
And can be written as (4,3)
6 0
2 years ago
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What is the slope of the line that passes through the points (-8, 3) and (-8, 2)?
miss Akunina [59]

 

Because x1 = x2 = -8  the line is vertical.

The slope of a vertical line is undefined.

 

 

5 0
2 years ago
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