Answer:
x = 19
Step-by-step explanation:
Let's convert the given statements into algebraic expressions.
R is five more than twice x:
R = 2x + 5
S is one more than x:
S = x + 1
T is sixteen less than seven times x:
T = 7x - 16
Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:
R + S + T = 180
Substituting the expressions, we have:
2x + 5 + x + 1 + 7x - 16 = 180
Now we do algebra and simply solve for x. Shown below:
![2x + 5 + x + 1 + 7x - 16 = 180\\10x-10=180\\10x=180+10\\10x=190\\x=\frac{190}{10}\\x=19](https://tex.z-dn.net/?f=2x%20%2B%205%20%2B%20x%20%2B%201%20%2B%207x%20-%2016%20%3D%20180%5C%5C10x-10%3D180%5C%5C10x%3D180%2B10%5C%5C10x%3D190%5C%5Cx%3D%5Cfrac%7B190%7D%7B10%7D%5C%5Cx%3D19)
Hence, x = 19
Answer:
75
Step-by-step explanation:
mirror
To solve this problem, or one of sorts, you can multiply the current price (2.16) by 1.33 (the percentage as a decimal).
2.16*1.33 = 2.8728
Round to two decimal places (and that’s the number of decimal places for money), and you can expect the new price per pound of cherries to be about $2.87.
Q = -60 and P ≠ 32 will result in an equation with no solutions. (Both conditions must be met.)
_____
For Q = -60 and P = 32, there will be an infinite number of solutions. For any other values of Q and P, the solution is
.. x = (32 -P)/(Q +60)