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4 years ago

5

What is the solution set of the following equation?

1 answer:

wel4 years ago

4 0

$\dfrac{4}{5}x^2=2x-\dfrac{4}{5}\ \ \ |\cdot5\\\\4x^2=10x-4\ \ \ |-10x\\\\4x^2-10x=-4\ \ \ \ |+4\\\\4x^2-10x+4=0\ \ \ |:2\\\\2x^2-5x+2=0\\\\2x^2-x-4x+2=0\\\\x(2x-1)-2(2x-1)=0\\\\(2x-1)(x-2)=0\iff2x-1=0\ \vee\ x-2=0\\\\x=\dfrac{1}{2}\ \vee\ x=2\\\\Answer:\ \left\{2;\ \dfrac{1}{2}\right\}$

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I believe it would be 360 students.

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3 years ago

Jason predicted that 227 students would attend the school dance. The actual number was 250. What is the percent error of Jason’s

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Step-by-step explanation:

227/250= .908

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3 0

4 years ago

Read 2 more answers

Question 9 (7 points) Adam borrows $6000 for two years at an 8% annual interest rate, what is his monthly payment? A. $250 D. $5

Oksana_A [137]

Answer:

B. $271

Step-by-step explanation:

Given,

Present value of the loan, PV = $ 6000,

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6 0

4 years ago

Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 ti

mylen [45]

Answer:

Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Step-by-step explanation:

Let x represent the number of messages that Keiko sent.

Since Dale sent 7 less than Keiko, his number can be represented by x - 7

Since Tony sent 4 times as many as Keiko, his number can be represented by 4x

Using these variables, create an equation:

(x) + (x - 7) + (4x) = 95

Add like terms and solve for x:

6x - 7 = 95

6x = 102

x = 17

So, Keiko sent 17 messages.

Subtract 7 from this to find how many Dale sent:

17 - 7

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Multiply it by 4 to find how many Tony sent:

17(4)

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So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

4 0

3 years ago

Find the length of the missing side to the nearest tenth a = 11 and c = 61

maksim [4K]

Answer:10 and 60

Step-by-step explanation:

Well if we're rounding to the nearest tenth 11 would become 10 and 61 will become 60

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3 years ago