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okay since the first step is parenthesis, the next step would be exponents but you have none so you skip to multiplication, then you divide
divide is your answer
138° + w° = 180° (sum of angle on a straight line)
w° = 180° - 138°
w = 42
19° + x° + w° = 90°
sub. in w=42,
19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29
The answer to this, maybe.., is 180
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)
Answer:
4 students can go to the first one then 2 students can go the second bus
Step-by-step explanation:
$39×4= 156
$79×2=158