Answer:
x = - 1
Step-by-step explanation:
Given
(x - 5)(- 3) = 18
Divide both sides by - 3
x - 5 = - 6 ( add 5 to both sides )
x = - 1
OR
distribute the left side by - 3
- 3x + 15 = 18 ( subtract 15 from both sides )
- 3x = 3 ( divide both sides by - 3 )
x = - 1
Answer: There are 6 rows of caravans at the park.
Step-by-step explanation:
To solve this problem, divide the total of 30 caravans by the maximum number of caravans in a row. This will result in the amount of rows at the park.
30 / 5 = 6
The correct answer for this question is this one: "<span>|-60 - 11| = |-71| = 71 units"
The statement says that "the </span><span>absolute value that show the distance between -60 and 11"
Absolute value is the distance of that specific number from zero in a straight number line. The selected answer is the correct one.</span>
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
22. The information provided is the number of minutes worked for each weekday for two weeks.
23. Up to this point, no problem is stated. If we read ahead to question 24, the problem is to determine if the number of hours worked in a week exceeds 40. The steps to solve the problem are ...
... a) convert the times to compatible units (minutes to hours or hours to minutes)
... b) compare the total time worked in a week to 40 hours (or the equivalent), or compare the time worked each day to 8 hours.
... c) on the basis of the comparison(s) in (b), decide if overtime was worked.
24. 8 hours is (60 min/h)×(8 h) = 480 min.
Only 5 days were worked each week, and no day exceeded 8 hours (480 min), so the total time is less than 40 hours. Mary does NOT need to pay overtime.