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Anettt [7]
3 years ago
5

PLEASE HELP ME

Mathematics
2 answers:
alexdok [17]3 years ago
7 0
The multiply choice were worth 4 points. 
Gretchen= 18x+19
Ezia= 15x+31

So basically you can enter any number. At first I picked 3 and then I did the math and I got 73 points for Gretchen and 76 points for Ezia. 

Then I pick four and then I got 91 points for them both. This is how I got the answer: 

18x+19=15x+31
18(4)+19=15(4)+31
72+19=60+31
91=91

I hope this get a clear understanding of how I got the answer :D
Arada [10]3 years ago
5 0

The <em>correct answer</em> is:

4 points per multiple choice question

Explanation:

Let x be the amount each multiple choice question is worth. Since Gretchen answered 18 of them correctly, we would write this as 18x. Adding the 19 points for the essay question, we have 18x+19.

Since Ezia answered 15 multiple choice questions correctly, we would write this as 15x. Adding the 31 points for the essay question, we have 15x+31.

Since they had the same score, we set these equal to one another:

18x+19 = 15x+31

To solve this, first subtract 15x from each side:

18x+19-15x = 15x+31-15x

3x+19 = 31

Subtract 19 from each side:

3x+19-19 = 31-19

3x=12

Divide each side by 3:

3x/3 = 12/3

x = 4

Each question is worth 4 points.

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What is 11 1/2 + 10 11/16=
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Hey!



To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.


<em>Original Equation :</em>

11\frac{1}{2} + 10\frac{11}{16} = ?


<em>New Equation {Converted Mixed Numbers Into Improper Fractions} :</em>

\frac{23}{2} + \frac{171}{16} = ?


Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.


<em>Fraction Conversion :</em>

\frac{23*8}{2*8} = \frac{184}{16}


So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.


<em>Old Equation :</em>

\frac{23}{2} + \frac{171}{16} = ?


<em>New Equation {Input New Fraction With Common Denominator} :</em>

\frac{184}{16} +\frac{171}{16} = ?


<em>Solution {New Equation Solved} :</em>

\frac{355}{16}


Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.


<em>New Solution {Converted to a Mixed Number} :</em>

22\frac{3}{16}


Since the fraction cannot be simplified anymore, this should be our final answer.

<em>So, this means that the answer to the equation is </em> 22\frac{3}{16}.


Hope this helps!



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