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3 years ago

Find the sum of all 11 terms of an AP whose middlemost terms is 30?

Mathematics

1 answer:

Bond [772]3 years ago

6 0

Let the difference between consecutive terms be D. If the middle term is 30, then the term before it is 30-D, and the term after it is 30+D. So the sum of these three terms would be (30-D) + 30 + (30+D) = 3*30.

Extending this sum to include all 11 terms centered around 30, we see that any addition of D is canceled by a balanced subtraction, leaving you with 11 copies of 30. So the value of the sum is 11*30 = 330.

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The distance around the school track is 0.25 mile. It takes Maribeth 5.1 minutes to run 2 laps around the school track. At that

BabaBlast [244]

Answer:

10.2 minutes

Step-by-step explanation:

1 lap= 1/4 mile

2 laos= 1/2 mile

5.1 x 2= 10.2 minutes

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2 years ago

A. 12 b. 14 c. 8 d. 6

jolli1 [7]

Answer:

d. 6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

7×12 = (3x)(7x)

4 = x² . . . . . . . . . divide by 21

2 = x . . . . . . . . . . take the square root

PD = 3x = 3·2

PD = 6

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3 years ago

60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys

stepladder [879]

First youll want to add 18 and 29. which gives you 43. then you’ll want to find out how much is 29 people percentage wise. so you’ll do 29/43 which gives you 67.44% if it’s answer choices. you round it to the most whole number if they don’t use decimals.

4 0

3 years ago

Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h

zhuklara [117]

I added a screenshot of the complete question along with the given choices.

Answers:

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

Explanation:

We are given that:

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

We will check each option as follows:

Option 1:

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

Option 2:

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

Option 3:

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

Option 4:

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

Option 5:

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0

3 years ago

Read 2 more answers

The ratio of Alex's toy cars to Jim's is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim?

aniked [119]

Answer:

A:J

8:3

a - 40 = j

8y - 40 = 3y

5y = 40

y = 8

8 *11 = 88

Step-by-step explanation:

Hope i helped! have a nice day

5 0

3 years ago

Read 2 more answers