An animal shelter spends $3.50 per day to care for each bird and $4.00 per day to care for each cat. Katherine noticed that the shelter spent $103.50 caring for birds and cats on Friday. Katherine found a record showing that there were a total of 28 birds and cats on Friday. How many birds were at the shelter on Friday?
No. of birds X
No. of cats 28 - X
103.50 = 3.50X + 4.00(28 - X) = 3.5X + 4x28 - 4X = 3.5X + 112 - 4X
O.5X = 112 - 103.5 = 8.5
X = 17
No. of birds 17
No. of cats 28 - X + 28 - 17 = 11
Check: $3.5 x 17 + $4 x 11 = $59.5 + $44 = $103.50
There are four main types of transformations: translation, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
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Answer:
option 1
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)
m = 
= 
= - 2
Use either of the 2 points for (a, b)
Using (a, b) = (5, - 2) , then
y - (- 2) = - 2(x - 5) , that is
y + 2 = - 2(x - 5)
Answer: The answer is b=1/4
