The graph below shows a line of best fit for data collected on the number of flower arrangements remaining in storage at a florist's in relation to the day of the month. The equation of the line of best fit is shown below. What does the y-intercept represent? A. the number of arrangements created during the month B. the number of arrangements sold per day C. the number of arrangements in storage before the beginning of the month D. the number of arrangements left in storage at the end of the month
C. the number of arrangements in storage before the beginning of the month
Rick serves his community as a firefighter. He works for a full 24 hours and then is off for the next 48 hours before his next 24-hour shift. Last month, he earned $4,665.60, before taxes, and worked twelve 24-hour shifts. How much money does Rick make per hour?
A.
$24.30
B.
$16.20
C.
$194.40
D.
$8.10
To find out how much money Rick makes per hour, we need to divide his total earnings by the number of hours he worked.
Rick works for 24 hours per shift, and he worked 12 shifts, so he worked a total of 24 * 12 = 288 hours.
His earnings for the month were $4,665.60, so his hourly wage is $4,665.60 / 288 = $16.20.
Therefore, the answer is B. $16.20 per hour.
Which of the following best represents the speed of a banana slug?
A.
2 × 10-5 kilometers per second
B.
2 × 105 kilometers per second
C.
2 × 10-5 meters per second
D.
2 × 105 meters per second
The best representation for the speed of a banana slug is option C. 2 × 10-5 meters per second.
Banana slugs are slow-moving creatures, and they do not travel at high speeds like 2 × 105 meters per second (option D) or 2 × 105 kilometers per second (option B). Option A, 2 × 10-5 kilometers per second, is also too fast for a banana slug. The correct representation would involve a smaller unit such as meters per second.
Which of the following correctly describes the difference below? 6/7 DIVIED BY 2
A.
both rational and irrational
B.
rational
C.
neither rational nor irrational
D.
irrational
The correct answer is option B. rational.
In mathematics, rational numbers are numbers that can be expressed as a fraction, where both the numerator and denominator are integers. When we divide 6/7 by 2, we get 6/7 ÷ 2 = 6/7 × 1/2 = 6/14, which is still a fraction and can be simplified to 3/7. Since 3/7 is a fraction and can be expressed as a ratio of two integers, the result is a rational number.