Answer:
20 Lizard lollies.
Step-by-step explanation:
There are 10 lizard lollis. This is out of 10+4+6 = 20 total treats. This makes the probability of drawing a lizard lollis 10/20 = 1/2.
This means out of 40 treats handed out, we can expect him to give out 1/2(40) = 20 lizard lollis.
Answer:
y= 12
Step-by-step explanation:
2/3 y + 7 = 15
Subtract 7 from each side
2/3 y + 7-7 = 15-7
2/3 y = 8
Multiply each side by 3/2 to isolate y
3/2 * 2/3 y = 3/2 * 8
3/2 * 2/3 y = 3 * 4
y = 12
350(1+0.75)t (add the numbers)
350*1.75t (Calculate the product)
612.5 t
Answer:
a) ![C(M,D) = KMD](https://tex.z-dn.net/?f=C%28M%2CD%29%20%3D%20KMD)
b) $12,000
Step-by-step explanation:
We are given the following information in the question:
The cost C of moving rubble is proportional to the product of the mass M of the rubble and the distance D the rubble must be moved.
This can be written as:
a)
![C \propto M\times D\\C = KMD,\\\text{where K is the constant of proportionality.}](https://tex.z-dn.net/?f=C%20%5Cpropto%20M%5Ctimes%20D%5C%5CC%20%3D%20KMD%2C%5C%5C%5Ctext%7Bwhere%20K%20is%20the%20constant%20of%20proportionality.%7D)
![C(M,D) = KMD](https://tex.z-dn.net/?f=C%28M%2CD%29%20%3D%20KMD)
b) It costs 50 dollars to move 1 ton of rubble 1 mile
![50 = K\times 1\times 1\\\Rightarrow K= 50](https://tex.z-dn.net/?f=50%20%3D%20K%5Ctimes%201%5Ctimes%201%5C%5C%5CRightarrow%20K%3D%2050)
We have to find cost to move 16 tons 15 miles.
Putting the values in the function:
![C(16,15) = 50\times 16\times 15 = 12000](https://tex.z-dn.net/?f=C%2816%2C15%29%20%3D%2050%5Ctimes%2016%5Ctimes%2015%20%3D%2012000)
Thus, $12,00 is the cost to move 16 tons 15 miles.