Answer:
z=14
Step-by-step explanation:
The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.
80 x 5 = 400. This gives us a building block on our way to 1,000,000. From here, we can go further and say that 400 x 5 = 2,000; that 2,000 x 5 = 10,000; and finally that 10,000 x 100 = 1,000,000. Altogether, starting from 80, that's
80 x 5 x 5 x 5 x 100 = 80 x 25 x 500 = <em>80 x 12,500</em>
So, since 80 goes into one million 12,500 times, it takes 12,500 minutes for the animal's heart to beat that 1,000,000 times.
Answer:
The expression is: ![\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Ctext%7Bcookie%20thickness%7D%20%2B%20%5Ctext%7Bfrosting%20thickness%7D)
The thickness of the cookie is:
cm
Step-by-step explanation:
The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:
![\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Ctext%7Bcookie%20thickness%7D%20%2B%20%5Ctext%7Bfrosting%20thickness%7D%5C%5C%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Cfrac%7B9%7D%7B10%7D%20%2B%20%5Cfrac%7B33%7D%7B100%7D%5C%5C%5C%5C%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Cfrac%7B10%2A9%20%2B%2033%7D%7B100%7D%5C%5C%5C%5C%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Cfrac%7B123%7D%7B100%7D%20%5Ctext%7B%20cm%7D)
The expression is: ![\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20thickness%7D%20%3D%20%5Ctext%7Bcookie%20thickness%7D%20%2B%20%5Ctext%7Bfrosting%20thickness%7D)
The thickness of the cookie is:
cm