Math Skills Quiz

Answer explanation

To simplify the ratio 12:16, divide both numbers by their greatest common factor, which is 4. This gives 3:4, the ratio in its lowest terms.

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To find average speed, divide total distance by total time. 150 miles / 3 hours = 50 mph. Therefore, the correct answer is 50 mph.

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The profit is calculated by subtracting the buying price from the selling price: $1000 - $800 = $200. Therefore, the profit is $200.

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To calculate the percentage decrease, subtract the sale price from the original price, divide by the original price, and multiply by 100. (($50 - $35) / $50) * 100 = 30% decrease.

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The profit is calculated as $120 - $80 = $40. Profit percentage of cost = (Profit / Cost) * 100 = (40 / 80) * 100 = 50%

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To simplify the ratio 45:60, divide both numbers by their greatest common factor, which is 15. This gives 3:4, the ratio in its lowest terms.

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To find the unit rate of speed, divide the total distance traveled by the total time taken: 300 km / 5 hours = 60 km/h. Therefore, the correct unit rate of speed is 60 km/h.

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The profit is calculated by subtracting the cost to produce the gadget ($100) from the selling price ($150), resulting in a profit of $50.

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The percentage increase is calculated as (25-20)/20 * 100 = 25%. Therefore, the correct answer is 25%.

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The loss is $15 on a cost of $90. To find the percentage loss, divide the loss by the cost and multiply by 100: (15/90) * 100 = 16.67%