Answer: 26 cups will fit in a dispenser that is 30 cm high.
Step-by-step explanation:
First of all, we know that the first cup in the stack (the bottom cup) will be ten centimeters high, and we know that for every cup that is added on top of that, .8 centimeter will be added to the height. So, if we want to find how many cups will be in the dispenser we do this simple math:
30 - 10 = 20 Because the first cup is ten centimeters, we have to subtract that from the dispenser height.
20/.8=25 To find how many cups will be stacked on top of the first cup, we divide the remaining height by .8, the height of every other cup.
Now that we know that there will be 25 cups stacked on top of the first, we add the bottom cup to the rest of them.
25 + 1 = 26 Cups.
Answer:
Points; (0,4), (2,5), (4,6),(6,7), (8,8) & (10,9)
Step-by-step explanation:
A negative exponent is the opposite of a regular exponent so for example, 5 to the power of -3 is 1/125
If 20 large cakes are needed, you'll need 4 helpers. To find this, you first need to find how many cakes 1 helper can make. Every hour, one helper can make 2 large cakes. If they have the kitchen for 3 hours, 6 large cakes can be made by one helper. This also means that 2 helpers make 12 cakes, 3 helpers can make 18 cakes, and 4 helpers can make 24 cakes. Since you can't have a fraction of a helper, 4 is your answer. For the 700 small cakes, you do the same thing. Every hour, 1 helper makes 35 small cakes. In 3 hours, 1 helper can make 105 small cakes. 2 can make 210, 3 can make 315, 4 can make 420, 5 can make 525, 6 can make 630, and 7 can make 735. The 700 small cakes takes 7 helpers and the 20 large cakes takes 4 helpers. Your total amount of helpers is 11.