Hi, the answer is 209. Hope this help
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
- 1st plant: 8x+17 widgets;
- 2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
![(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24](https://tex.z-dn.net/?f=%288x%2B17%29-%285x-7%29%5C%5C%20%5C%5C%3D8x%2B17-5x%2B7%5C%20%5B%5Ctext%7BEliminate%20brackets%7D%5D%5C%5C%20%5C%5C%3D%288x-5x%29%2B%2817%2B7%29%5C%20%5B%5Ctext%7BCombine%20the%20like%20terms%7D%5D%5C%5C%20%5C%5C%3D3x%2B24)
Answer:
a. Ellie is saying that principle of conversion of units of time can be utilized to convert the number of minutes that Krystal spent on each activity to hours.
b. Krystal spent 7.33 hours or
hours on each activity.
Step-by-step explanation:
Time is any of the quantities of different measurements used to evaluate the duration of events. For example, if two men start a 100 metre race, it is time that is used to evaluate the duration of the first runner and the second runner. There are various units that are used in the measurement of time ranging from seconds to minutes to hours to days to weeks to months to years etc.
All the units for measuring time are interrelated and can be converted from one unit to the other. 60 seconds make a minute, 60 minutes make up an hour, 24 hours make up a day. Seven days = week, 4 weeks make a month and 12 months make a year.
a. In the question Ellie said that I can regroup the 440 minutes that Krystal spent on each activity as hours. What Ellie is virtually saying is that since all the units used in the measurement of time are interrelated for eg 7 days make a week and 4 weeks make a month, it is possible to change or convert time from one unit to another. This means that the 440 minutes that Krystal spent on each activity for eg reading books can be changed or transformed to another unit (hours).
b. Again, since Krystal spent 440 minutes on each activity, we can calculate how many hours Krystal spent on a single activity since we already know how many minutes that make an hour:-
Since 60 minutes make 1 hour, then the number of hours that Krystal spent on one activity is:
60 minutes ---------- 1 hour
440 minutes --------- ? hour
440/60 × 1
= 7.33 hours
=
hours
Therefore Krystal spent 7.33 hours or
hours on one activity
There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.
Note that x^2 + 4x + 4 is a perfect square. Thus,
x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that
x+2 = plus or minus √3*√4, or plus or minus 2√3.
Thus, the two real, unequal roots are
x = -2 + 2√3 and x = -2 - 2√3. These correspond to answer choices C and E.
You subtract 8,725 to the other side so the problem would be w=10,619-8,725 and the answer would be W=1,894