A car rental company offers two plans for renting a car. Plan A: 40 dollars per day and 10 cents per mile Plan B: 65 dollars per
1 answer:
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Answer:
$654
Step-by-step explanation:
Let the amount of money Marlina's received for her salary be x.
We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:
Left of her salary.
Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:
Finally, she spent $56 for gas. So, we will subtract 56:
And we know that after all of the expenses, she will have $102 left. Therefore:
We want to know how much Marlina spent on rent. So, let's find her salary x first.
First, let's distribute the 1/2:
Combine like terms:
Evaluate:
Add 225 to both sides:
Multiply both sides by 4:
Therefore, Marlina received a total of $1308 for her salary.
We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:
And we're done!
Answer:
A dilation by a factor of three about Point T followed by a translation of two units downwards.
Step-by-step explanation:
When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.
Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.
First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)
Next, notice that from Point T'' to U'', we move nine units right and six units up.
From Point T to Point U, we move three units right and two units up.
Likewise, from Point T'' to S'', we move six units left and nine units up.
From Point T to Point S, we move two units left and three units up.
Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.
Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.
