B = 3 V/H solve for V

Answer:

Nina's speed in MPH:  12.706 miles per hour

Nina is quicker than Sophia.

Step-by-step explanation:

To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.

Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.

(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.

Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.

This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).

Cheers.

El cuadro de proporciones debe reflejar dimensiones que sean comparables a las del rectángulo original. Es decir, las medidas de los rectángulos adicionales deben multiplicarse por un factor de escala para hacer el aumento. Revisé cada medida para confirmar si era un múltiplo del rectángulo original.

Answer:

Yes, Bill surpassed his target by £2,200.

Step-by-step explanation:

The cost for the laptops totals = 50 x 400

= 20,000

He sold 40 laptops with a profit margin of 30%

Calculating that gives (40 x 400) x 1.30

= 20,800

He sold 10 laptops with a profit of 15%

Calculating that gives (15 x 400) x 1.15

= 6900

Thus, the overall sales revenue totals

= 20800 + 6900 = 27,700

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.