Answer: 39
Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.
Answer:
![Cost = \$28](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2428)
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
![7g + 3h = 26](https://tex.z-dn.net/?f=7g%20%2B%203h%20%3D%2026)
The second statement, we have:
![4g + 5h = 28](https://tex.z-dn.net/?f=4g%20%2B%205h%20%3D%2028)
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)
![4g + 5h = 28](https://tex.z-dn.net/?f=4g%20%2B%205h%20%3D%2028)
![4g = 28 - 5h](https://tex.z-dn.net/?f=4g%20%3D%2028%20-%205h)
Divide both sides by 4
![g = \frac{1}{4}(28 - 5h)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29)
Substitute
for g in (1)
![7g + 3h = 26](https://tex.z-dn.net/?f=7g%20%2B%203h%20%3D%2026)
![7(\frac{1}{4}(28 - 5h)) + 3h = 26](https://tex.z-dn.net/?f=7%28%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29%29%20%2B%203h%20%3D%2026)
![\frac{7}{4}(28 - 5h) + 3h = 26](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D%2828%20-%205h%29%20%2B%203h%20%3D%2026)
Multiply through by 4
![4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%7B7%7D%7B4%7D%2828%20-%205h%29%20%2B%204%2A3h%20%3D%2026%2A4)
![7(28 - 5h) + 4*3h = 26*4](https://tex.z-dn.net/?f=7%2828%20-%205h%29%20%2B%204%2A3h%20%3D%2026%2A4)
Open bracket
![196 - 35h + 12h = 104](https://tex.z-dn.net/?f=196%20-%2035h%20%2B%2012h%20%3D%20104)
![196 -23h = 104](https://tex.z-dn.net/?f=196%20-23h%20%3D%20104)
Collect Like Terms
![-23h = 104-196](https://tex.z-dn.net/?f=-23h%20%3D%20104-196)
![-23h = -92](https://tex.z-dn.net/?f=-23h%20%3D%20-92)
Make h the subject
![h = \frac{-92}{-23}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B-92%7D%7B-23%7D)
![h = \frac{92}{23}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B92%7D%7B23%7D)
![h = 4](https://tex.z-dn.net/?f=h%20%3D%204)
Substitute 4 for h in ![g = \frac{1}{4}(28 - 5h)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29)
![g = \frac{1}{4}(28 - 5*4)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205%2A4%29)
![g = \frac{1}{4}(28 - 20)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%2020%29)
![g = \frac{1}{4}(8)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%288%29)
![g = 2](https://tex.z-dn.net/?f=g%20%3D%202)
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:
![Cost = 6g + 4h](https://tex.z-dn.net/?f=Cost%20%3D%206g%20%2B%204h)
![Cost = 6*\$2 + 4*\$4](https://tex.z-dn.net/?f=Cost%20%3D%206%2A%5C%242%20%2B%204%2A%5C%244)
![Cost = \$12 + \$16](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2412%20%2B%20%5C%2416)
![Cost = \$28](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2428)
If the ends span from the 0 to the 15 meter mark, then the length of the pipe is 15 meters. However, you should report it using the right amount of significant figures. It is mentioned in the problem that millimeter marks are calibrated between meters. Since millimeter is 1/1000 of a meter, you should add three decimal places to the 15 meters. Hence, you should report it as 15.000 meters.
Malaria proved that the equation you need to add the parenthesis first