What is the next term in the sequence below? 1, 3, 5, 8, 11, 15, 19, 24, ...
 a.30 b.27 c.29 d.25

Answers

Answer 1
Answer: The logic in the sequence is --> +2, +2, +3, +3, +4, +4, +5, +5, +6, +6 and so on...

So, 
the next number in the sequence would be 24+5 = 29

So, the answer is --> c.29



Answer 2
Answer: The series is : 1, 3, 5, 8, 11, 15, 19,
We can see the sequence as
1 = 1
3 = 1 + 2
5 = 3 + 2
8 = 5 + 3
11 = 8 + 3
15 = 11 + 4
19 = 15 + 4
so the next should be 19 + 5 = 24
and after that next should be 24 + 5 = 29

So the answer is 29. i.e.  C


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How can I find 30% of 2140?

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

30% can also be written as 30/100

x = (30)/(100) * 2140\n\nx = (3)/(10) * 2140\n\nx = 3 * 214\n\n\boxed{\bf{x=642}}
30% of 2140 is 642

Convert percentage into a decimal: 30%/100 = 0.3
Multiply decimal by 2140: 0.3 × 2140 = 0.3 <-- our answer.

Using the ratio of perfect squares method, what is the square root of 96 rounded to the nearest hundredth? Use the ratio of perfect squares method.

Answers

(49)^2 / (50)^2 = 0.96
49/50 = sqrt (0.96) = 0.98

Therefore sqrt (96) = 9.80 to the nearest hundredth

A stereo that normally sells for $125 is on sale for $90. By what percent has the price of the stereo been reduced?

Answers

If stereo that normally sells for $125 is on sale for $90 then  price of the stereo has been reduced by 28%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the percentage reduction in price, we need to calculate the difference between the original price and the sale price

Divide the difference by the originalprice, and then multiply by 100 to express the answer as a percentage.

The reduction price is difference between the One hundred twenty five and ninety.

The reduction in price is:

$125 - $90 = $35

So, the stereo has been reduced by $35.

To find the percentage reduction, we divide the reduction by the original price and multiply by 100:

$35/$125 x 100%

0.28×100

When zero point two eight is multiplied with hundred we get twenty eight.

= 28%

Therefore, the price of the stereo has been reduced by 28%.

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28%
so you subtract $90 from $125 and that gives you $35, then you must determine the percentage by trial to see what percent that $35 is of $125, you can tell by looking that it will be near to a third or 33%, but not quite that much, so work backwards from there and try 30% and because that is just a bit more that $35, reduce and try a smaller percentage, 28% of 125 is exactly $35 

Part A. Claire runs 10 km in 1 hour. How many km does she run in half an hour? in 2 1/2 hours? The answer would be : 1.5 km and 2.25 km
Part B. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? In 2 1/2 hours?
The answer would be : 2.5 and 1.25
Part C. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answer would be : ?

Answers

Part A: Claire ran 5 km in half and hour and 25 km in 2 1/2 hours.
Part B: Malia ran 2.5 miles in half an hour and 12.5 miles in 2 1/2 hours.
Part C: Claire ran 4.8832 km faster than Malia in 2 1/2 hours. 

The 6:00 am temperatures for four consecutive days in the town of Lincoln were -12.1 C, -7.8C, -14.3 C, and -7.2C. What was the average 6:00 am temperature for the four days

Answers

To find the average you have to add all the numbers up together, and then divide the sum of those number by how many numbers there were.
1) -12.1+-7.8+-14.3+-7.2= -41.4
2) -41.4/4 = -10.35 
3) Final Answer= -10.35 C 

Final answer:

The average of the temperatures -12.1 C, -7.8 C, -14.3 C and -7.2 C is calculated by adding all temperatures together then dividing by the number of values. The average 6:00 am temperature over the four days in Lincoln is -10.35 C.

Explanation:

The subject of this question is mathematics, specifically statistics. The student needs to calculate the average of the daily 6:00 am temperatures over four days in the town of Lincoln. The temperatures are -12.1 C, -7.8C, -14.3 C, and -7.2C.

The average temperature can be found by adding all the temperatures together then dividing by the number of temperatures measured. Here's how:

  1. Add the temperatures together: -12.1 C + -7.8 C + -14.3 C + -7.2 C = -41.4 C
  2. Then divide the total by the number of temperatures: -41.4 C ÷ 4 = -10.35 C

Therefore, the average 6:00 am temperature over the four days in the town of Lincoln is -10.35 C.

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An airplane flies at 250mph.how far will it travel in 5h at that rate of speed?

Answers


First hour. . . . . 250miles
Second hour . . 250 miles
Third hour . . . . 250 miles
Fourth hour . . . 250 miles
Fifth hour. . . . . 250 miles

Total . . . . . . . 1,250 miles