Answer: 13 is a rational number
Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.
Answer:
Step-by-step explanation:
Let x = the number of pepper plants, then (x + 6) = the number of tomato plants. Since the ratio of tomatoes to peppers is 5:2, we have the following:
5/2 = (x + 6)/x
2x + 12 = 5x
12 = 3x
4 = x = the number of pepper plants
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of 
is 
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
The ratio indicates that there are 8 dolls for every 7 teddy bears. That means that if there is 16 dolls, then there is 14 teddy bears. And that if there is 24 dolls, then there is 21 teddy bears. You could continue this pattern, or you could divide and multiply. If you have 160 dolls, then do 160/8 to simplify the ratio. You get 20. So if there is (8x20) dolls, then there is (7x20) teddy bears. 7x20 is 140, so there are 140 teddy bears.
Answer:
28/15
Step-by-step explanation:
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