Number of dogs in the shelter are 12
<u>Step-by-step explanation:</u>
Step 1:
Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.
Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36
Step 2:
Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.
Remaining number of animals = 108 - 36 = 72
Number of cats = 5/6 of 72 = 5/6 × 72 = 60
Step 3:
Find number of dogs in the shelter.
Number of dogs = 108 - (36 + 60) = 108 - 96 = 12
The linear equation is y = -x - 6
Step-by-step explanation:
To form a linear equation from two points lie on the line which the equation represented it
- Find the slope of the line by using the formula
- Then use the slope-intercept form of the equation y = m x + b
- To find the value of b substitute x and y of the equation by the coordinates of one of the two given points
∵ Points (-2 , -4) and (-3 , -3) lie on the line
∴ 
= -2 and 
= -3
∴ 
= -4 and 
= -3
- Substitute these values in the formula of the slope
∵ 
∴ m = -1
∵ The form of the equation is y = m x + b
∵ m = -1
∴ y = (-1) x + b
∴ y = -x + b
To find b substitute x and y in the equation by the coordinates of
point (-2 , -4) OR (-3 , -3)
∵ x = -3 and y = -3
∴ -3 = -(-3) + b
∴ -3 = 3 + b
- Subtract 3 from both sides
∴ -6 = b
∴ The equation is y = -x + (-6)
∴ y = -x - 6
The linear equation is y = -x - 6
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Answer:
$481.54
Step-by-step explanation:
672.33-(102.25+(2)44.27)
672.33-(102.25+88.54)
672.33-190.79
481.54
What you need to do is find the greatest amount (1) and the lowest amount (1/4) of sap collected and the find how many times the lowest can go into the greatest. (So how many times can 1/4 go into 1). I believe that this is how you would do that.
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
For h = 12cm:
V1 = pi * ((21) ^ 2) * (12)
V1 = 16625.30832 cm ^ 3
For h = 11.9cm:
V2 = pi * ((21) ^ 2) * (11.9)
V2 = 16486.76409 cm ^ 3
The change in volume is given by:
V1-V2 = 16625.30832-16486.76409
V1-V2 = 138.54423 cm ^ 3
Answer:
the change in the volume is:
V1-V2 = 138.54423 cm ^ 3
