(c + a = 800)5
5c + 16a = 8400
5c + 5a = 4000
Subtract
11a = 4400
a = 400
There were 400 children and 400 adults
Answer:
X=130
Step-by-step explanation:
Since the two sides are equal, the two angles are equal.
x=180-25-25
x=130
If you mean:
1/(3a^2)-1/a=1/(6a^2) we need a common denominator of 6a^2
2/(6a^2)-6a/(6a^2)=1/(6a^2), multiplying all terms by 6a^2 then:
2-6a=1 subtract 2 from both sides
-6a=-1 divide both sides by -6
a=1/6
Answer: 15 players per team
Step-by-step explanation:
Unite rate of players on the team refers to the number of players on each of the teams that the Viking Football league has.
You can get this find this out by dividing the number of players, by the number of teams:
= 150/10
= 15 players per team
![\begin{gathered} \\ \\ \quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + 4 \div 2 \bigg] \div \bigg[8 \div \bigg( - 8 \bigg) + 4 \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5C%5C%20%20%5C%5C%20%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20%5Cbigg%28%20-%2017%20%5Cbigg%29%20%2B%204%20%5Cdiv%202%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B8%20%5Cdiv%20%20%5Cbigg%28%20-%208%20%5Cbigg%29%20%2B%204%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
According to the "BODMAS rule" firstly performing "division".
![\begin{gathered} \\ \\ \quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + \dfrac{4}{2} \bigg] \div \bigg[ \dfrac{8}{ - 8} + 4 \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5C%5C%20%20%5C%5C%20%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20%5Cbigg%28%20-%2017%20%5Cbigg%29%20%2B%20%5Cdfrac%7B4%7D%7B2%7D%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B%20%5Cdfrac%7B8%7D%7B%20-%208%7D%20%2B%204%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
![\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + \cancel{\dfrac{4}{2}} \bigg] \div \bigg[ \: \cancel{\dfrac{8}{ - 8}} + 4 \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20%5Cbigg%28%20-%2017%20%5Cbigg%29%20%2B%20%20%5Ccancel%7B%5Cdfrac%7B4%7D%7B2%7D%7D%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B%20%5C%3A%20%5Ccancel%7B%5Cdfrac%7B8%7D%7B%20-%208%7D%7D%20%2B%204%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
![\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \bigg( - 17 \bigg) + 2 \bigg] \div \bigg[ - 1 + 4 \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20%5Cbigg%28%20-%2017%20%5Cbigg%29%20%2B%20%202%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B%20-%201%20%2B%204%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
Now, performing "addition and opening round brackets".
![\begin{gathered} \\ \\\quad\dashrightarrow{\sf \bigg[ - 17 + 2 \bigg] \div \bigg[ - 1 + 4 \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5C%5C%20%20%5C%5C%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20-%2017%20%2B%20%202%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B%20-%201%20%2B%204%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
![\begin{gathered}\quad\dashrightarrow{\sf \bigg[ \: - 15 \: \: \bigg] \div \bigg[ \: \: 3\: \: \bigg]} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cquad%5Cdashrightarrow%7B%5Csf%20%5Cbigg%5B%20%20%5C%3A%20%20-%2015%20%5C%3A%20%20%5C%3A%20%5Cbigg%5D%20%5Cdiv%20%5Cbigg%5B%20%20%5C%3A%20%20%5C%3A%20%203%5C%3A%20%20%5C%3A%20%5Cbigg%5D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cend%7Bgathered%7D)
Now, opening "square brackets".
Now, "dividing 15 by 3".
∴ The Answer is -5.
<u>BODMAS</u> rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
- ↠ B - Brackets,
- ↠ O - Order of powers or roots,
- ↠ D - Division,
- ↠ M - Multiplication
- ↠ A - Addition,
- ↠ S - Subtraction.
It means that expressions having multiple operators need to be simplified from left to right in this order only.
First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
- ↠ Addition (+)
- ↠ Subtraction (-)
- ↠ Multiplication (×)
- ↠ Division (÷)
- ↠ Brackets ( )
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