16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator
17. LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168
18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30
This is pretty easy math.
All we have to do here is multiply the hours times the constant (10$ an hour)
20*10=200$
40*10=400$
60*10=600$
All together he makes 1,200$.
-Seth
Answer:
C. None of the above
Step-by-step explanation:
we know that
The number of students who signed up for different after school activities are
Cooking------------> 9 students
Chess---------------> 4 students
Photography-----> 8 students
Robotics-----------> 11 students
Total of students -----> (9+4+8+11)=32
<u><em>Verify each statement</em></u>
case A) The ratio of photography students to all is 4:1
The statement is false
Because the ratio of photography students to all is 8:32
Simplify
1:4
case B) For every 1 chess student there are a total of 16 students
The statement is false
Because the ratio of chess student to all is 4:32
Simplify
1:8
so
For every 1 chess student there are a total of 8 students
therefore
C. None of the above
Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.
The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
