Answer:
5.9x + 1.4
Step-by-step explanation:
5.5 + 2.1x + 3.8x - 4.1
= 5.9x + 1.4
We'll start by calling the number of pigeons we started with x, because it's the unknown.
After she clapped 1/3 flew away so she was left with
(1 - 1/3) x = (2/3) x
Two flew back, so now there are
(2/3) x + 2
She clapped again and half left, half stayed, so now
(1/2) ( (2/3) x + 2 )
One came back and there were five,
(1/2) ( (2/3) x + 2 ) + 1 = 5
Solving is unraveling.
(1/2) ( (2/3) x + 2 ) = 4
(2/3) x + 2 = 8
(2/3) x = 6
x = (3/2) 6 = 9
Answer: 9 pigeons
Check: Reviewing the story, 9 -> 6 -> 8 -> 4 -> 5 good
Answer:
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)
Step-by-step explanation:
Dilated triangles are <em>never congruent</em>, only <em>similar</em> (unless the dilation factor is exactly 1).
The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,
A' = 2A
A'(8, -12) = 2×A(4, -6)
These facts are all you need to know to choose the correct answer (shown above).
You have $ 16 + $ 5 = $ 21 in value
$ 21 / $ 7 = 3 bottles, excluding tax<span> </span>
