Answer:
x=0
Step-by-step explanation:
To solve, we need to get all the variables on one side of the equation, and all the numbers on the other
6(x + 1) – 5x = 8 + 2(x - 1)
First, distribute the 6 on the left
6*x+6*1 -5x=8 +2(x-1)
6x+6-5x=8+2(x=1)
Combine like terms on the left
(6x-5x)+6=8+2(x-1)
x+6=8+2(x-1)
Distribute the 2 on the right
x+6=8+2*x+2*-1
x+6=8+2x-2
Combine like terms on the right
x+6=2x+(8-2)
x+6=2x+6
Subtract x from both sides
6=x+6
Subtract 6 from both sides
x=0
Hope this helps! :)
Answer:
x = 10
y = 20
Step-by-step explanation:
![\tan \: 30 \degree = \frac{x}{10 \sqrt{3} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{10 \sqrt{3} } \\ \\ \sqrt{3} x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{ \sqrt{3} } \\ \\ x = 10 \\ \\ \cos 30 \degree = \frac{10 \sqrt{3} }{y} \\ \\ \frac{ \sqrt{3} }{2} = \frac{10 \sqrt{3} }{y} \\ \\ y = 10 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ y = 10 \times 2 \\ \\ y = 20](https://tex.z-dn.net/?f=%20%5Ctan%20%5C%3A%2030%20%5Cdegree%20%3D%20%20%5Cfrac%7Bx%7D%7B10%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B10%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%5Csqrt%7B3%7D%20x%20%3D%2010%20%5Csqrt%7B3%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B10%20%5Csqrt%7B3%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2010%20%5C%5C%20%20%5C%5C%20%20%5Ccos%2030%20%5Cdegree%20%3D%20%20%5Cfrac%7B10%20%5Csqrt%7B3%7D%20%7D%7By%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B10%20%5Csqrt%7B3%7D%20%7D%7By%7D%20%20%5C%5C%20%20%5C%5C%20y%20%3D%20%2010%20%5Csqrt%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20y%20%3D%2010%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20y%20%3D%2020)
Answer: A .0115
Step-by-step explanation:
There are 1000 mg in a gram. So to convert to grams, you would divide by 1000
C it’s 366 cm that’s how you would know the rectangular board
It is given in the question that
Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.
Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.
And the total messages are 89. That is
![x+x-9+3(x-9)=89](https://tex.z-dn.net/?f=x%2Bx-9%2B3%28x-9%29%3D89)
Combining like terms
![x + x - 9 + 3x-27 =89 \\ 5x -36=89 \\ 5x = 125 \\ x =25](https://tex.z-dn.net/?f=x%20%2B%20x%20-%209%20%2B%203x-27%20%3D89%0A%5C%5C%0A5x%20-36%3D89%0A%5C%5C%0A5x%20%3D%20125%0A%5C%5C%0Ax%20%3D25)
So Chang sent 25 messages, Ann sent
![25-9=16 messages](https://tex.z-dn.net/?f=25-9%3D16%20messages)
And Kareem sent
![3*16 = 48 messages](https://tex.z-dn.net/?f=3%2A16%20%3D%2048%20messages)