Start by combining LIKE-TERMS. 13b AND 23 are LIKE-TERMS because they have the same variable (B) and numbers. Remember PEMDAS OR Please Excuse My Dear Aunt Sally. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There is also FOIL (First, Inside, Outside, Last). Because we will start with Parenthesis(Use the FOIL method because the 56 is part of the parentheses) first, (-56 x b[first part of the set]) = -56b THEN (-56 x [+ {always carry the sign, this shows that it is positive}]1) = -56
Now we have 13b+23b -56b-56
=36b -56b -56
= -20b - 56
This is your final equation because THESE ARE NOT LIKE-TERMS, therefore, they CANNOT be combined
Angle 2 is vertical to angle 1 which would make it EQUAL to angle 1 (angle 2 is 133 degrees) then you subtract 133 from 180 which will leave you with 47.
Answer: angle 2 is 133 and angle 3 is 47.
It is c because b is an enlarged version of a
It’s 10 it has it near the dot
She has 27 quarters and 73 dimes.
Write a system of equations.
Let x be the number of quarters, and y be the number of dimes.
x+y=100
0.25x+0.10y=14.05
Solve by substitution:y=100−x
∴0.25x + 0.10(100 - x) = 14.05
0.25x+10−0.10x=14.05
0.15x+10=14.05
0.15x=4.05
x=27
Solve for y now:
y+27=100
y=100−27
y=73
Hence, She has 27 quarters and 73 dimes.
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
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