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garri49 [273]
3 years ago
7

Can someone please explain this.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

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Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho
Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

,

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

25(5+x)=325

Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

125+25x=325

<em>2. Subtracting 125 from both sides of the equation</em>

125-125+25x=325-12525x=200

<em>3. Dividing both sides of the equation against 25</em>

\frac{25x}{25}=\frac{200}{25}x=8

8 0
1 year ago
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