Answer:
We conclude that the ratio of dog food to cat food is 2 : 1.
Step-by-step explanation:
We know that the 5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 bags of dog food weighs 45 pounds. All 6 bags of dog food weigh the same and all bags of cat food weigh the same.
We have

we get

We get that the ratio of dog food to cat food is 7.5 : 3.75.
We conclude that the ratio of dog food to cat food is 2 : 1.
To find out how much Sybil would make in a certain amount of time, the equation would be:
h * 12
(hours times number of dollars per hour, which is 12)
Hope this helps!! :)
Answer:
$3.77
Step-by-step explanation:
The formula for the percentage of an amount is : 
To work out the value of the tax you would first need to convert the percentage of 6.5 into a decimal. You can do this by dividing the percentage of 6.5 by 100, this gives you 0.065. This is because percentages are out of 100.
The next step is to multiply 0.065 by the amount of $58, this gives you 3.77. This is because we are working out 6.5% of $58 and so would multiply the decimal by the amount to work that out.
1) Divide 6.5 by 100.

2) Multiply 0.65 by 58.

Answer:
12.6
Step-by-step explanation:
1/5 = .2
3/10 = .3
4.2 x .3 = 12.6
Answer:
f(x) = -2x² + 2
Step-by-step explanation:
If you remember the y = x² parent graph, you will be able to derive your equation from visualization.
The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.