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Lina20 [59]
3 years ago
9

Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the S

witch?
Mathematics
2 answers:
Ket [755]3 years ago
5 0

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

no he won't have enough money. he's 1.50 short

goldenfox [79]3 years ago
4 0

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

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What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2​
tangare [24]

The product is 104 x^{4}+16 \sqrt{30} x^{4}

Explanation:

The given expression is \left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2

Expanding the expression, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)

Now, we shall apply FOIL, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}

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\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}

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Thus, the product of the given expression is 104 x^{4}+16 \sqrt{30} x^{4}

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