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3 years ago

Monique makes $11 per hour delivering pizzas. Monique works Monday

Mathematics

1 answer:

Ilya [14]3 years ago

8 0

Answer:

x > 39 hours

Step-by-step explanation:

Let x be the number of hours she worked.

11x - is how much she would get paid for working for x hours

11x + 20 > 450

11x > 430

x > 39 hours

Hope that helped!!! k

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

3 years ago

Larry’s family made a donation to the library. His mom gave half as much as larry. His dad gave 5 times as much as Larry’s siste

storchak [24]

Answer:

The family donated $52.50

Step-by-step explanation:

Larry's mom donated $7.50 ($15 ÷ $2=$7.50)

Larry's dad donated $25.00 ($5 x $5=$25.00)

Larry's sister donated $5.00 ($15 - $10=$5.00)

Larry donated $15.00

6 0

3 years ago

9–5(x+4)=3(2–x) help!!!!!1

netineya [11]

Answer:

-17/2 =x

Step-by-step explanation:

9–5(x+4)=3(2–x)

Distribute

9 - 5x - 20 = 6 -3x

Combine like terms

-5x-11 = 6-3x

Add 5x to each side

-5x-11 +5x = 6-3x+5x

-11 = 6+2x

Subtract 6 from each side

-11-6 = 6+2x-6

-17 = 2x

Divide by 2

-17/2 = 2x/2

-17/2 =x

3 0

3 years ago

Read 2 more answers

What is the value of x innthe equation 1.5(x+4)-3=4.5(x-2)

daser333 [38]

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2 years ago

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Alex777 [14]

That would be.....: 7.5

4 0

3 years ago