Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 
x + 4 ( multiply through by 2 to clear the fraction )
2y = x + 8 ( subtract 8 from both sides )
2y - 8 = x
Change y back into terms of x with x = 
(x) , then
(x ) = 2x - 8
(4) = 2(4) - 8 = 8 - 8 = 0
1.5×12=18
300÷18=16.6667
you need to work close to 17 hours to earn that much when rounded to the nearest number.
Answer:
504 dollares 56 dollars off
Step-by-step explanation:
Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
180m
To find this we need to find the perimeter. The perimeter is not given so we need to find it. If the land is square we can assume all sides are the same length. So to find the perimeter we need to find the side length. So we find the square root of the volume. The square root of 2025 is 45. So we now add all the side lengths together. The equation is 45+45+45+45. This makes 180m. It takes 180m of fence.
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