Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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Answer:
The top graph
Solutions:
-2
0
Step-by-step explanation:
The given quadratic function in factored form is
This is a parabola that has x-intercepts at (-2,0) and (2,0)
This parabola opens downward because the leading coefficient is less than 1.
The second function is
This is an absolute value function with vertex at (-2,0).
Therefore the graph that shows the solution to f(x)=g(x) is the top graph.
Hence the solution is x=-2,x=0
Subtract 3 from both sides
simplify 12 - 3 to 9
break down the problem into these two equations
1 + p = 9 and -(1 + p) = 9
solve the first equation 1 + p = 9 and that would be 8 since 1 + 8 = 9 is true.
solve the second equation -(1 + p) = 9 and just simplify brackets and add 1 to both sides then add 9 + 1 and lastly multiply both sides by -1 and p = -10.
Gather both solutions
Answers: p = -10, 8
An inequality is used to show two values that are different and to show that the two values are unequal.
<h3>What is an Inequality?</h3>
This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.
We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.
Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.
Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.
Read more about inequalities here:
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Answer:
44.1036585366
Step-by-step explanation: