Limes are on sale. That sale price is 8 limes for $2.00. Why could the unit rate be 4 or 0.25?

Answers:

C - The value of w cannot be negative.

D - The variable l is substituted with the value 20.

E - To isolate the variable w, the subtraction property of equality is applied.

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Option b) 1960 is the total hours worked by the electrician.

Step-by-step explanation:

It is stated that a full-time electrician will put in 40 hours weekly.

Hence, we should determine the total hours he could work in a year, which consists of twelve months.

Thus, a year consists of 365 days.

To find the number of weeks in these twelve months:

Number of weeks = Total days in a year / 7 days of the week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

It translates to 52 weeks within twelve months.

Out of these 52 weeks, three weeks are designated for vacation.

The total weeks the electrician will work = 52 weeks - 3 weeks

⇒ 49 weeks.

Thus, the electrician worked for 49 weeks.

To find his total worked hours = 49 weeks × 40 hours

⇒ 1960 hours.

So, the total hours the electrician worked amounts to 1960 hours, which corresponds to option b).

Answer:

The rotation angle measures 2.11 °

Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

Let us denote the angle of rotation as Ф

Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

Thus,

distance rolled by the wheel = π × radius ×

As 180° represents π radians

And π approximates to 3.14

Thus, distance rolled by the wheel = 180 °× radius ×

That is l = r × Ф

So, Ф =

Consequently, Ф =

Therefore, Ф = 2.11 °

Thus, the rotation angle is Ф = 2.11 °

Hence, the rotation angle is 2.11 ° Answer