find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100

Answers

Answer 1

Answer:

S=2+4+6+…+100

S=100+98+96+…+2

Adding the two yields

2S=102+102+102+…+102 = 50(102)

Thus S=50(51)=2550


Related Questions

All of the following are equivalent, except _____.

3x
2x 2
x(2 + 1)
2x + x

Answers

2x 2 is the answer your looking for,

When there are two variables (letters) you combine them by adding

What can i multiply 2/3 by to make a product of 1? Explain how you know.

Answers

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Ed is on a road trip. He has already traveled 229 miles and is driving at a rate of 68 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 647 total miles?
A.
68x + 647 = 229

B.
229x + 647 = 68

C.
68x + 229 = 647

D.
229x + 68 = 647

Answers

Step-by-step explanation:

THE ANSWER IS D BUT ME 8S NOT SURE

Help help fast please first answer gets brainiest also needs to be clearly stated

Answers

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Is the following number rational or irrational?
-0.32
Choose 1 answer:
Rational
B
Irrational

Answers

Irrational I think I have to seee and do rmmarj

The elephants at the zoo eat 5/6 of a bucket of bananas each day. The zookeeper bought 2 1/2 buckets of bananas. How many days will the bananas last?

Answers

Answer:

3 days

Step-by-step explanation:

We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3

Answer:

3 days

Step-by-step explanation:

2 1/2 ÷ 5/6 = 3

Therefore, the bananas will last 3 days.

A science club has a muffin sale. Each bag has 25 muffins. There are 630 muffins to sell. About how many bags of muffins are there?

Answers

Answer: 25.2 or 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

because you just devide

Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment

Answers

The sale of an equipment is referred to as disposal of an asset. The required answers are:

1. Gain on disposal = $2000

2.    Journal entry for the disposal of the equipment.

                              Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000  

Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.

1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.

Thus, to determine the gain or loss on disposal;

                                         $'000

Cost                                     48

Accum. Depreciation          40

Carrying amount                   8

Gain or loss on disposal = Selling price - carrying amount

                                         = $10000 - $8000

                                         = $2000

The gain on disposal is $2000.

2.                           Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000                              

For more on disposal of asset, check: https://brainly.com/question/24098024

Find the distance between the two points in simplest radical form. Please help! <3​

Answers

Answer: on the bottom is (-6,5) and on the top is (1,7)

Step-by-step explanation:

a person buys X meter for 5
after, he sells 2/5 of it for 5.5
after, the half of it he sells 6.4
after, the leftovers for 6 and he make 120 profits of this
How much X meters he bought at the first place?

Answers

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

How to find the mode.

Answers

Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.

Choose Yes or No to tell whether each expression is equivalent to this expression.

–3(0.15 – 0.2 + 0.25p)

0.15 – 0.75p
Choose...


–0.45 – 0.6 + 0.75p
Choose...


–3(–0.05 + 0.25p)
Choose...


–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...

Answers

Answer:

top to bottom,

Yes

No

Yes

Yes

Please Help! 20 Points! Will Give Brainliest if correct!

Answers

Answer:

eh+gf/fh

Step-by-step explanation:

solve the simultaneous linear equations by using the elimination method​

a - b = -3
3a - 4b = -5

Answers

Answer:

3a -3b= -9

3a - 4b = -5

-------------------

b=-4

4a- 4b= -12

3a - 4b = -5

-------------------

a = -7

PLS HELP FOR BRAINLIST :D

Answers

Answer:

The third answer is the correct one.

can someone help me?!!! I need help!! ASAP

Answers

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

can you only give brainliest on your own question?

Answers

Answer:

im sorry i dont know but you can try

Step-by-step explanation:

If Maria designs a function to predict the amount of revenue, r, generated as a function of the number of people, n, who attend a fundraiser, explain why 13.5 would not be a member of this function's domain?

Answers

Answer:

Only whole numbers of people, n, are assumed in the calculation.

Step-by-step explanation:

The function relating the number of people, n, to the revenue, r, implicity assumes that only whole people will purchase tickets.  13.5 would mean that 13 normal people and 1/2 of a person bought tickets.  This can't be in the domain, since the ticket saleperson would run away if 1/2 of a person showed up:  thus no ticket sale.

Actually, it may depend on how one defines a person.  Is it 1/2 physically, or 1/2 mentally?  I've personally seen the latter show up at some fundraisers.

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)

Second blank choices :
Can be proven or cannot be proven congruent

Answers

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

Find the area of the following shape. please show me your work so i can understand how to do this.

Answers

Answer:

10

Step-by-step explanation:

count the full squares then add up the halfs and u get 10

6 weeks to 12 days answer?

Answers

Are you looking for a ratio?

Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.

Answers

Answer:

it does have a solution x=0

Step-by-step explanation:

9x+15=3x+15

6x+15=15

6x=0

x=0

Answer:

I agree.

Step-by-step explanation:

Here is my explantion:

[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

solve the proportion! (someone help)

Answers

Answer:

4.75

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve

Answers

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

Which function could be used to represent the sequence 8, 20, 50,

125, 312.5...., given that a, = 8?

(1) a, = 4,- 1 ta

(3) 4, = 4, + 1.5(, -1)

(2) a. = 2.5(

4-1) (4) 4 = (a), -1)

Answers

Answer: a = 2.5 (an-1)

Step-by-step explanation: trust me;)

The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

What is geometric progression?

sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of  numbers.

Formula for nth term of geometric progression

[tex]a_{n} =ar^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression

n is the total number of terms

r is the common ratio

and a is the first term

According to the given question

We have

A geometric progression

8, 20, 50, 125, 312.5

Now the common ratio for the above progression is given by

[tex]r = \frac{20}{8} = 2.5[/tex]

And the first term is

a = 8

Therefore, the function which is used to represent the above sequence is given by

[tex]a_{n} = 8(2.5)^{n-1}[/tex]

Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

Learn more about geometric progression here:

https://brainly.com/question/4853032

#SPJ2

6x-7y=7andx-7y=-8 find valve of x and y​

Answers

Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

                 

help need it done for tomorrow ​

Answers

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Answer:

51.2578125

Step-by-step explanation:

3 * (3/2)^(8 - 1)

3 *(3/2)^7

51.2578125

I need help in algebra

Answers

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

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