50% is
![\frac{50}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B100%7D%20)
We have two ways to do this, pick your favor:
either by fractions:
![\frac{5}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20)
÷
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
(
![\frac{50}{100} = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B100%7D%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Multiply by the reciprocal of
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
which is 2(flip it)
![\frac{5}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20)
× 2 =
= 1.25
Or change them to decimals:
![\frac{5}{8} = 0.625](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20%3D%200.625)
![\frac{50}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B100%7D%20)
= 0.5
0.625 ÷ 0.5
0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
1.25
5 I 6.25
-5
12
-10
25
-25
0
0.625 ÷ 0.5 =
1.25
Answer:
do 10 20 20 40 50
Step-by-step explanation:
hope it helps sorry if it does not if not then try 1 2 3 4 5
Answer:
and
![0.75c + 1.10h = 4.55](https://tex.z-dn.net/?f=0.75c%20%2B%201.10h%20%3D%204.55)
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies ![c + h = 5](https://tex.z-dn.net/?f=c%20%2B%20h%20%3D%205)
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
![0.75c + 1.10h = 4.55](https://tex.z-dn.net/?f=0.75c%20%2B%201.10h%20%3D%204.55)
Hence, the equations are:
and
![0.75c + 1.10h = 4.55](https://tex.z-dn.net/?f=0.75c%20%2B%201.10h%20%3D%204.55)
Solving for c and h
Make c the subject in ![c + h = 5](https://tex.z-dn.net/?f=c%20%2B%20h%20%3D%205)
![c = 5 - h](https://tex.z-dn.net/?f=c%20%3D%205%20-%20h)
Substitute 5 - h for c in ![0.75c + 1.10h = 4.55](https://tex.z-dn.net/?f=0.75c%20%2B%201.10h%20%3D%204.55)
![0.75(5- h) + 1.10h = 4.55](https://tex.z-dn.net/?f=0.75%285-%20h%29%20%2B%201.10h%20%3D%204.55)
![3.75- 0.75h + 1.10h = 4.55](https://tex.z-dn.net/?f=3.75-%200.75h%20%2B%201.10h%20%3D%204.55)
![3.75 +0.35h = 4.55](https://tex.z-dn.net/?f=3.75%20%2B0.35h%20%3D%204.55)
Collect Like Terms
![0.35h = 4.55 - 3.75](https://tex.z-dn.net/?f=0.35h%20%3D%204.55%20-%203.75)
![0.35h = 0.8](https://tex.z-dn.net/?f=0.35h%20%3D%200.8)
Solve for h
![h = 0.8/0.35](https://tex.z-dn.net/?f=h%20%3D%200.8%2F0.35)
![h = 2.28571428571](https://tex.z-dn.net/?f=h%20%3D%202.28571428571)
-- approximated
Recall that:
![c = 5 - h](https://tex.z-dn.net/?f=c%20%3D%205%20-%20h)
![c = 5 - 2](https://tex.z-dn.net/?f=c%20%3D%205%20-%202)
![c =3](https://tex.z-dn.net/?f=c%20%3D3)
The correct answer is 6 grams of sugar
Hope this helped :)
More information is required to answer the question correctly.