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lina2011 [118]
4 years ago
10

Charles has 3/5 the amount of money Di has. How much money does charles have if Di has $6 more than him?

Mathematics
1 answer:
DaniilM [7]4 years ago
6 0
Charles = Di multiplied by 3/5
Charles = Di minus 6
x multiplied by .6 = x - 6
15 multiplied by .6 = 15 - 6

Di = 15
Charles = 9
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Answer:

1. (d) First F, then D, then C

2. x=16, not extraneous

Step-by-step explanation:

1. Let's solve the given equation and see which steps we need:

\sqrt{6x + 4} = 8

Since the X is under a square root, let's raise both sides to their square value.

\sqrt{6x + 4}^{2}  = 8^{2}

So we get: 6x + 4 = 64

Next step is to isolate the x factor, so we need to subtract 4 on both sides, to get:

6x = 60

Then to isolate x, we need to divide both sides by 6.

x = 10.

2. Solve for x.  \sqrt{x + 9} - 4 = 1

We'll first begin by isolating the square root on its side alone:

\sqrt{x + 9} = 5

Then we'll raise each side to its square: x + 9 = 25

Isolate x, to get x = 16

Now, is that solution extraneous or not?

Let's enter 16 in the initial equation and find out:

\sqrt{x + 9} - 4 = \sqrt{16 + 9} - 4 = \sqrt{25} - 4 = 5 - 4 = 1

It works, so the solution is not extraneous!

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Lina20 [59]
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