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Jlenok [28]
3 years ago
14

A sports store had 60 backpacks in stock, some with wheels and some without wheels, before a new shipment of backpacks arrived.

The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment
was five times the number of backpacks without wheels already in stock. After the new shipment arrived, there
were 330 backpacks in the store. Before the new shipment, there were x wheeled backpacks and y
backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x and y?
a. 2x+5y=330
b. 2x+5y=270
c. 5x+2y=270
d. 5x+2y=330
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
2x + 5y = 270

Two times the amount of wheeled backpacks. Let x = wheeled backpacks.

Five times the amount of non wheeled backpacks. Let y = non wheeled backpacks.

Total backpacks will be 330 so 330 - 60 = 270


Therefore you get 2x + 5y = 270
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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

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<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

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⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

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⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

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⇒ 1/37.6077

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Therefore, the value of the given expression is 0.0265.

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