Answer: there were 19 birds at the shelter on Wednesday
Step-by-step explanation:
Let x represent number of beds at the shelter on Wednesday.
Let y represent the number of cats at the shelter on Wednesday.
Nicole found a record showing that there were a total of 40 birds and cats on Wednesday. This means that
x + y = 40
The animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. This means that
5.5x + 8.5y = 283 - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
5.5(40 - y) + 8.5y = 283
220 - 5.5y + 8.5y = 283
- 5.5y + 8.5y = 283 - 220
3y = 63
y = 63/3 = 21
x = 40 - y
x = 40 - 21 = 19
If I am doing the problem correctly I think the answer is $977.25 :)
The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)
Step-by-step explanation:
Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.
The rule of dilation, with center as the origin follows;
(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.
Taking O(2,16) and O'(3,24), the scale factor will be;
s*2=3
2s=3
s=3/2 =1.5
or
s*16=24
16s=24
s=24/16=3/2=1.5
The scale factor is 1.5, hence the dilation rule is;
(x,y)-------(.15x,1.5y)
Learn More
Dilation:brainly.com/question/10945890
Keywords: dilation, vertices, origin, scale factor, translation
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Answer:
x = -5 y = -9
Step-by-step explanation:
y = x -4
5x + y = - 34
substitute x-4 in for y to solve for x
5x + x - 4 = 34
solve for x . . . add 5x + x = 6x
so you now have 6x-4 = -34
add 4 to both sides of the equation
6x-4 + 4 = -34+ 4
6x = -30
divide both sides by 6
6x/6 = -30/6
x= -5
then you plug -5 for x in the first equation
y = x - 4
y= -5 -4
y =-9
x= -5 y= -9
There are two interleaved arithmetic sequences here.
Odd terms are 5, 7, 9, 11, increasing by 2 each time.
Even terms are 1, 0, -1, decreasing by 1 each time.
The next two terms will be -2, 13.
