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06.04.2020

The sum of 4 consecutive integers is 62. What is the value of the least integer?

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Mathematics

Which equation supports the given conjecture? the sum of the squares of two consecutive integers is an odd integer. a. (2 + 3)2 b. 32 + 52 = 34 c. 4 + 52 = 29 d. 52 + 62 = 61

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P Answered by PhD

The first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors) we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect. additionally, some of the equations are obviously false such as 52+62=61

Mathematics

Which equation supports the given conjecture? the sum of the squares of two consecutive integers is an odd integer. a. (2 + 3)2 b. 32 + 52 = 34 c. 4 + 52 = 29 d. 52 + 62 = 61

Step-by-step answer

P Answered by PhD

Mathematics

Which equation supports the given conjecture? the sum of the squares of two consecutive integers is an odd integer. a. (2 + 3)2 b. 32 + 52 = 34 c. 4 + 52 = 29 d. 52 + 62 = 61

Step-by-step answer

P Answered by Master

D
consecutive means there is some kind of pattern the pattern for D is plus 10

Mathematics

An arithmetic series consists of consecutive integers that are multiples are of 4. what is the sum of the first nine terms of this sequence if the first term is 0 a. 160 b. 162 c. 180 d. 198

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P Answered by Master

The answer is 144.

Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).

According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.

The sum of first n terms is given by

$S_n=\dfrac{n}{2}\{2a+(n-1)d\}.$

So, the sum of first 9 terms is

$S_9=\dfrac{9}{2}\{2\times 0+(9-1)\times4\}=\dfrac{9}{2}(8\times 4)=144.$

Thus, the required sum is 144.

Mathematics

An arithmetic series consists of consecutive integers that are multiples are of 4. what is the sum of the first nine terms of this sequence if the first term is 0 a. 160 b. 162 c. 180 d. 198

Step-by-step answer

P Answered by Specialist

The answer is 144.

Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).

According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.

The sum of first n terms is given by

$S_n=\dfrac{n}{2}\{2a+(n-1)d\}.$

So, the sum of first 9 terms is

$S_9=\dfrac{9}{2}\{2\times 0+(9-1)\times4\}=\dfrac{9}{2}(8\times 4)=144.$

Thus, the required sum is 144.

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Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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P Answered by PhD

The answer is in the image

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

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Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

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P Answered by PhD

The answer is in the image

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

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P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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