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ELEN [110]
3 years ago
15

Solve the equation

=" \sqrt{x+3}+4=5" align="absmiddle" class="latex-formula"> for the variable. Show each step of your solution process.
Thank you!
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0
D:x\geq-3\\\\
\sqrt{x+3}+4=5\\
\sqrt{x+3}=1\\
x+3=1\\
x=-2
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Answer:

Style A shoes sold : <u>152</u>

Style B shoes sold : <u>88</u>

Step-by-step explanation:

Let :

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  • Style B shoes = y

Forming equations :

  1. x = 2y - 24
  2. 66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

  • 66.95 (2y - 24) + 84.95y = 17,652
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<u />

Finding x :

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Solution :

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  • Style B shoes sold : <u>88</u>
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John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la
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The equation that will model this situation will be of the form

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Now we know that John has already traveled 20 miles when he is at the gas station, this means at t=0, d=20; or

20=m(0)+b

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Thus we have

d=mt+20.

Now we need to figure out m.

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5

\boxed{m=5}

Now we have the full equation:

\boxed{d=5t+20}

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