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Soloha48 [4]
2 years ago
13

Mrs. Rullo has four times as many pens as Mrs. virola. they have a total of 40 pens. How many more pens does Mrs.Rullo have then

Mrs. virola ? Choose a strategy and show your work?
Mathematics
2 answers:
ololo11 [35]2 years ago
6 0

Hello there! Mrs. Rullo would have 24 more pens than Mrs. Virola.

Need an Explanation?:

Let's use a system of equations to solve.

<em>(r = Mrs. Rullo, v = Mrs. Virola)</em>

4v = r - Models that Mrs. Rullo has 4 times the pens of Mrs. Virola)

r + v = 40 - Models that they have a total of 40 pens.

Next place the first equation in the place of r in the second equation and solve.

(4v) + v = 40

<em>Combine like terms.</em>

5v = 40

<em>Divide 5 from both sides to isolate v.</em>

v = 8

This means Mrs. Virola has 8 pens. How many pens does Mrs. Rullo have? well, since they add up to 40, subtract Mr's Virola's amount from 40 to get the remaning number, or Mrs. Rullo's Amount.

40 - 8 = 32.

So this means that Mrs. Rullo has 32 pens.

But wait - the question is asking how many more pens Mrs. Rullo has than Mrs. Virola.

So, subtratct Mrs. Rullo's amount from Mrs. Virola's to find the difference.

32 - 8 = 24

So, she has 24 more pens.

<em>I hope this helps, and have a great day! Please don't hesitate to ask if you need more help with this specific question! </em>


IgorLugansk [536]2 years ago
4 0

x + 4x = 40

5x = 40

x = 8

Mrs. Viola has 8 and Mrs. Rullo has 4*8=32 pens.

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<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"
melamori03 [73]

Answer:

x=-\frac{3}{2},-1

Step-by-step explanation:

2x^2+5x+3=0

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

2*3=6

Find which two numbers add up to 5 and multiply into 6:

3+2=5\\3*2=6\\3,2

Split 5x as the sum of 3x and 2x:

2x^2+3x+2x+3

Now factor out a common term for the first 2 terms:

2x^2+3x\\x(2x+3)

And do the same for the last 2 terms:

2x+3\\1(2x+3)

Re-insert:

x(2x+3)+1(2x+3)=0

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

(2x+3)(x+1)=0

Separate the parentheses and equal them to 0. Solve for x:

2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\  x=-\frac{3}{2}

and

x+1=0\\x+1-1=0-1\\x=-1

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Answer:

-1.3

Step-by-step explanation:

3v+1+7v=-12 equation

10v+1=-12 combine like terms

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2 years ago
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2/3 (x+2) -1/3 (x-2)
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The final answer is 1/3x+2.

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