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Elan Coil [88]
3 years ago
11

5 4 ​ start fraction, 4, divided by, 5, end fraction of their popcorn with butter. The remaining 35.235.235, point, 2 ounces was

made without butter. How many pounds of popcorn did Movietown Theater make on Thursday?
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

Movietown Theater made a total of 10.2 pounds of butter on Thursday

Step-by-step explanation:

Movietown Theater made \frac{4}{5} fraction of their popcorn with butter and 32.5 ounces without butter.

Fraction made without butter=1-\frac{4}{5}=\frac{1}{5}

It means \frac{1}{5} of total popcorn made(t) was without butter.

\frac{1}{5}Xt=32.5

t=32.5X5=162.5

They made 162.5 ounces of butter in total

Next, we determine the weight in pounds

16 ounces = 1 pound

162.5 ounces = 162.5/16 pounds

=10.2 pounds

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Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.

Explanation:

Part a: Reflecting a point across the x-axis

The reflection is a transformation of a figure which represents a flip.

The rule for a reflection over the x -axis is given by

(x, y) \rightarrow(x,-y)

Hence, this represents the change of sign of the y-coordinate.

Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis

The rule for a reflection over the y -axis is given by

(x, y) \rightarrow(-x, y)

Hence, this represents the change of sign of the x-coordinate.

Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes

The rule for a reflection across both the axes is given by

(x, y) \rightarrow(-x, -y)

Hence, this represents the changes the signs of both the coordinates.

Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.

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Which term best describes the geometric figure?
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Step-by-step explanation:

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Shea is making a lot of plates of cookies for his friends. He makes a total of 18,698 cookies and spilts it into 297 equal plate
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Shea's coworkers received .89 of a cookie each.

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3 years ago
write the equation of the perpendicular bisector that goes through the line segment with end points of A -1,-2 and B -2,-8
Dennis_Churaev [7]

Answer:

  2x +12y = -63 . . . in standard form

  y = -1/6x -21/4 . . . in slope-intercept form

Step-by-step explanation:

It is useful to find the midpoint of the segment. That is the average of the end points:

  M = ((-1, -2) +(-2, -8))/2 = ((-1-2)/2, (-2-8)/2) = (-3/2, -5)

It is also useful to find the changes in coordinates from B to A:

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From here, there are a couple of ways you can write the equation of the perpendicular line.

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  y = (-1/6)x -21/4 . . . . . . . . eliminate parentheses; point-slope form

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Another way to write the perpendicular line is to use the Δ values directly as coefficients in the standard form equation:

  Δx(x -h) +Δy(y -k) = 0

  1(x -(-3/2)) + 6(y -(-5)) = 0 . . . substitute values

  x +6y +31.5 = 0 . . . . . . . . . . .collect terms

  2x +12y = -63 . . . . . . . . . . . . multiply by 2, put in standard form

7 0
3 years ago
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