What is the sum of the first 22 terms of the following series?86 + 79+ 72 + 65 + 58 +...

Answers

Answer 1
Answer: S22 = (86*2+(79-86)*(22-1))*22/2 = 275


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Beth has 250 comic books in her collection She begins to sell 20 of them each week. Martin has 80 comic books in his collection. Hebegins buying 15 new comic books each weekSelect from the choices below, dragging and dropping to build an inequality that could be used to determine when Martin's comic bookcollection exceeds Beth's
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Elena and Tomas rented a room in a restaurant for their wedding reception. They had to pay a rental rate of $160 plus $15 for the dinner of each guest who attended. They could not afford to pay more than $520 for the reception. Which inequality can be used to find how many guests (

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of guests be represented by x.

The information given can then be used to generate an inequality that goes thus:

160 + 15x ≤ 520

15x ≤ 520 - 160

15x ≤ 360

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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.Which equation can be used to find the time it took Stu to hike the trail?

3t = 5
3t = 5(3 – t)
3 + t = 5 + (3 – t)
3t + 5(3 – t) = 3

Answers

Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

Trip to end of trail — 3,   t,   3t

Trip back — 5,   3 - t,   5(3 - t)

Tap the THANKS button and RATE ⭐️

(If helpful)

Final answer:

For a problem involving distance, rate, and time, the equation 3t + 5(3 - t) = 3 can be used to find the time it took for Stu to hike the trail. In it, 't' is the time hiking, and the equation represents the total distance he traveled set equal to his total travel time

Explanation:

For this kind of problem, it is key to remember that distance is equal to speed times time (this is often stated as distance = rate x time or d = rt). In this case, you need to find the time it took Stu to hike the trail. As Stu hiked at an average rate of 3 miles/hour and ran at a faster speed of 5 miles/hour, we can create the equation in terms of 't', where 't' is the time it takes to hike.

Because the total time he was traveling (hiking and running) is 3 hours, the correct equation is 3t + 5(3 – t) = 3. This equation represents the distance that Stu hiked (3t) plus the distance that he ran (5 times the remaining time), equaling the total distance that he traveled. To solve for 't', you would set these two terms equal to the total travel time of 3 hours.

Learn more about Rate, Time and Distance here:

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-6x + 7y = 9
2x - 2y = 4

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What type of expense is a toll

Answers

Answer:

The IRS considers them to be part of your employee business expenses, which fall under the category of miscellaneous deductions. Add the cost of tolls, parking, your other car expenses to your other employee business expenses and combine that amount with other miscellaneous expenses.

Step-by-step explanation:

Answer: Well I guess that  you add the cost of tolls like the parking, your car expenses and other workers business expenses combine that amount you got with another miscellaneous expenses

The equation of line CD is (y-3) = -2(x-4). What is the slope of a line perpendicular to line CD? a. 2 b. -2 c. 1/2 d. -1/2

Answers

The equation of line CD is given as (y - 3) = -2(x - 4), which is in the slope-intercept form (y = mx + b) with a slope (m) of -2.

To find the slope of a line perpendicular to CD, you can take the negative reciprocal of -2:

Negative reciprocal of -2 is 1/2.

So, the slope of a line perpendicular to line CD is c. 1/2.

From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue.six over thirteen
one over two
nine over eleven
three over eight

Answers

The answer is nine over eleven (9/11).

There are in total 22 marbles:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
/
If there are 4 blue marbles, there are 18 marbles that are not blue:
22 marbles - 4 blue marbles = 18 non-blue marbles

The probability of 
randomly selecting a marble that is not blue is 18 out of 22:
18/22 = 9/11