<span>C = 45 + 18 + 27 - 21 - 93
C = -24
Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C
C
"Cody made deposits of $45, $18, and $27 into his checking account."
C = 45 + 18 + 27
"He then wrote checks for $21 and $93."
C = 45 + 18 + 27 - 21 - 93
So the expression to represent the change to Cody's checking account is
C = 45 + 18 + 27 - 21 - 93
Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it.
C = 45 + 18 + 27 - 21 - 93
I'll add together all the deposits.
C = (45 + 18 + 27) - 21 - 93
C = 90 - 21 - 93
And I'll combine the checks.
C = 90 - 114
So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So
C = -24
And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>
Answer:
2.5
Step-by-step explanation:
A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then
Since
- AB=4;
- A'B'=10;
- AC=6;
- A'C'=15,
then the scale factor of the dilation is
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6, 12, 18, 24, 30
Keep plus this number by 6
