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CaHeK987 [17]
3 years ago
8

The difference of two integers is thirty. the larger integer is two more than five times the smaller integer. Find the integers

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0
X=2+5y
x-y=30

basically, all you're doing here is solving a system of equations. use the second equation to find out what x or y means. i'm going to solve it for x.

this is the new equation : x=30+y

now i plug this equation into the first one.

30+y=2+5y

30=2+5y-y
30=2+4y
28=4y
y=7

now that you know what y is, take that second equation we did in the beginning and plug in y.

x-7=30

solve for x

x=37



the two integers are 37 and 7.
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Step-by-step explanation:

After 5 days both actors will charge $625.

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3 years ago
What are the two solutions of 2x2 = –x2 – 5x – 1?
77julia77 [94]

Answer:

The answer is

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Step-by-step explanation:

2x² = - x² - 5x - 1

<u>Rearrange the terms and simplify</u>

That's

2x² + x² + 5x + 1 = 0

3x² + 5x + 1 = 0

Using the quadratic formula solve the equation

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<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 3 , b = 5 , c = 1

So we have

<h3>x =  \frac{ - 5\pm \sqrt{ {5}^{2} - 4(3)(1) }}{2(3)}  \\  =  \frac{ - 5\pm \sqrt{25 - 12} }{6}  \\   = \frac{  - 5\pm \sqrt{13} }{6}</h3>

We have the final answer as

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Hope this helps you

4 0
3 years ago
​How much higher is Veronica’s median score than James’s median score?
S_A_V [24]

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12

Step-by-step explanation:

First, let's calculate both of the medians.

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James' Median: 129

And now, the only thing left for us to do is complete some simple subtraction.

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Your answer is 12.

4 0
2 years ago
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4 0
3 years ago
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aleksandrvk [35]

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

4 0
2 years ago
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