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Inessa05 [86]
2 years ago
13

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi

ft 612 h later, there is only 16 of the tub left. What was the average hourly change in tub fullness?
Mathematics
2 answers:
Blababa [14]2 years ago
8 0

Answer:

Step-by-step explanation:

First 2/3-1/6=1/2 1/2÷6 1/2=1/13

ipn [44]2 years ago
4 0

Answer:

<em />Rate = 1.1/hr<em />

<em />

Step-by-step explanation:

Given

Start = 23

End = 16

Hours = 6\frac{1}{2}h

Required

Determine the hourly rate

First, we need to determine the ice cream sold

Ice\ Cream = 23 - 16

Ice\ Cream = 7

Next, we calculate the hourly rate:

Rate = Ice\ Cream/Hours

Rate = 7/6\frac{1}{2}h

Rate = 7/\frac{13}{2}h

Rate = 7*\frac{2}{13h}

Rate = \frac{14}{13h}

Rate = 1.07692307692/hr

<em />Rate = 1.1/hr<em> -- Approximated</em>

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Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
FinnZ [79.3K]

The correct option is Option D \boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)} .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image {\text{P''Q''R''S''}} .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as \left({-x,y}\right)  and in the third quadrant represents as \left({-x,-y}\right)  if x,y  are positive.

Therefore, the rotation is in the counter clockwise direction of 270^\circ .

Step 2:

The rotation of 270^\circ  in the counter clockwise direction represents the coordinates as,  

  \left({x,y}\right)\to\left({y,-x}\right)

It can be seen that the coordinate of {\text{PQRS}}  are as follows,

\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}

Then after rotation of 270^\circ  counterclockwise on {\text{PQRS}}  \left( {x,y}\right)\to\left({y,-x}\right)   as,

  \begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}

Step 3:

Now apply the rule of y  axis of reflection {R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)  on the above transformation as,

\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}

Therefore, the given transformation is the rotation of 270^\circ  counterclockwise followed by y  axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

   {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)

Therefore, option D {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)  is correct.

Learn more:  

  • Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' <u>brainly.com/question/2480946</u>
  • Learn more about the transformation of function <u>brainly.com/question/7297858 </u>
  • Learn more about midpoint of the segment <u>brainly.com/question/3269852</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0
2 years ago
Read 2 more answers
Anbody know the answer??
LiRa [457]
I'm going to have to go with choice "c". 10x - 1 with the remainder of  5
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3 years ago
To which subsets of real numbers does -22 belong? Chose all the apply
KATRIN_1 [288]

-22 belongs to the set of Integers, rational numbers

3 0
3 years ago
The cost of staying one night at a hotel in amber city is $59. The cost of staying one night at a hotel in bear lake is $159. Fi
Sloan [31]
If you stay in amber city you waste $295 but if you go to bear lake your wasting around $795 so your saving $500
7 0
3 years ago
Does anyone know how to do this?
Strike441 [17]

Answer:

196 m^{2}

Step-by-step explanation:

A square is a  <u>shape that which all sides are equal</u>

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14*14=196

6 0
2 years ago
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