Answer:
8 hours
Step-by-step explanation:
First, let's find how much Bentley gets from clearing tables.
5 hours • $8 per hour = $40 total
We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.
$180 needed - $40 earned = $140 left to earn
We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.
$140 needed ÷ $18 per hour = 7.77...
We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.
5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max
It is possible to make $180 total from this work schedule, so your answer would be 8 hours.
The ∆ABC has been transformed to yield ∆A'B'C'. The fourth diagram shows that the transformation could NOT be achieved by rotation alone.
The diagram is attached with the answer below:-
<h3 /><h3>What is dilation?</h3>
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
In the first figure, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along the midpoint of AB.
The second and third figures are the same. In both figures, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along with the origin.
In the fourth figure, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along with the origin.
But only in the fourth figure, ∆ABC has been transformed to yield ∆A'B'C' by reflection along the x-axis.
Therefore, the correct option is the 4th diagram.
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It is 18777320
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4x+32
4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers.
4(1x+8)
aka 4(x+8)