If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?

Answers

Answer 1

Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

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Related Questions

What is 162 multiplied by 0.967

Answers

The answer would be 156.654

Answer:

Remove the decimals and multiply normally.

162 x 967

156654

Put back in the decimals. In this case, move the decimal point back three spaces from the end.

156.654

:)

An estimate for - 72
-8.1
-8.5
-9.1
-9.5

Answers

[tex]solution[/tex]

[tex] \sqrt{72} [/tex]

Factor the expression

[tex] \sqrt{6 }^{2} \times 2[/tex]

Use the properties of radicals

[tex] \sqrt{6 {}^{2} } \sqrt{2} [/tex]

simplify the root

[tex]answer[/tex]

[tex]6 \sqrt{2} [/tex]

Answer:

the answer is -8.5

you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night

After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?

Answers

x = the whole pie.

well, Don ate (1/8)x, how much was it left?  [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]

well, so that's the remainder.

Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]

well, how much is it left?  [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]

well, there are 5 friends how much did each one get from the whole pie?

[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]

please help me i’ll give brainlist

Answers

Answer:

See explanation below

Step-by-step explanation:

1. 0.65 = 65/100

not 65/1000

65/1000 is 0.065. We want 0.65.

2. 0.65 = 65/100 = 13/20

Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?

Answers options:

10 ≤ x ≤ 14


4 ≤ x ≤ 24


10 < x < 14


4 < x < 24

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The third side of the Triangle should be greater than the difference of other two sides, so

[tex]x > 14 - 10[/tex]

[tex]x > 4[/tex]

And, The third side should be less than the sum of other two sides that is ~

[tex]x < 14 + 10[/tex]

[tex]x < 24[/tex]

Considering these two inequalities, we get ~

[tex]4 < x < 24[/tex]

find the measure of ∠A.

Answers

Answer:

68 degrees

Step-by-step explanation:

Supplementary angles have sum 180°

5x+27+5x-7=18010x+27-7=18010x+20=18010x=160x=16

<A=

5(16)+2780+27107°

Please help me, thanks

Answers

Answer:

D how many months until the total spent is the same for both gyms

Step-by-step explanation:

30m+50 = 10m+100

By setting the cost of gym A equal to gym B we are finding  how many months it is when the cost is the same

Answer:

How many months until the total spent is same for both the gyms

Step-by-step explanation:

Then

GYmA=GYm B30m+50=10m+100

We may solve it

20m=50m=5/2m=2.5months

option D

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$

Answers

9514 1404 393

Answer:

  $9.86

Step-by-step explanation:

The numbers in your problem statement are somewhat garbled. We understand the problem to be ...

Given:

  earnings: $11.60 per hour

  1/10 of earnings donated

  8 1/2 hours worked

Find:

  the amount donated

Solution:

The amount donated will be the product of the given numbers:

  ($11.60 /hour)×(8.5 hours)×(1/10) = $9.86

Kendra donated $9.86 to the charity last week.

Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

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Please help my son asked me for this and I don't understand it.

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

Answer:

y=2x+3

Step-by-step explanation:

The answer is gonna be y=2x+3. The 2 is the slope so it needs to stay the same. the 4 in the original equation is the y intercept so to move it one unit lower you just subtract 1 and get your answer

write an equation of the line below

Answers

Answer:

y=-x-2

Step-by-step explanation:

The slope is negative 1 and the y intercept is -2

Silvia is planning to use a 4-year loan to purchase a car.
• The price of the car is $8,575.
• The amount of interest she will have to pay on the loan is $1,036
Silvia will combine the price of the car and the amount of interest to determine how much she must repay. She will make 48 equal monthly
payments.
Which of the following is the best estimate of each monthly payment Silvia will make?
A. $175
B. $200
C. $225
D. $250

Answers

Answer:

B

Step-by-step explanation:

8575 + 1036 = 9611

9611 is the full payment

9611 / 48 months = 200.229

About $200 every month

The best estimate of each monthly payment that Silvia will make is given by: Option B: $200

What to calculate net payable amount after interest is applied?

The net payable amount is the sum of main amount to be paid + the amount of interest.

For this case, it is specified that:

The price of the car is $8,575.The amount of interest she will have to pay on the loan is $1,036

Thus, we get:
Total payable amount by Silvia for car purchasing = $8575 + $1036 = $9,611

This payable amount is divided in 48 equal parts. The value of each part (the monthly payment amount by Silvia) is:

[tex]\dfrac{9611}{48} \approx 200 \: \rm dollars[/tex]

Thus, the best estimate of each monthly payment that Silvia will make is given by: Option B: $200

Learn more about division here:

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What is the discriminant of the polynomial below?
4x2 - 20x+ 25
O A. -360
O B. o
O C. 300
O D. -20

Answers

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0

Help me answer these math problems. They are due by 10:00 PM Tonight. Please answer them carefully.

1. What is the formula for simple interest?

2. If Michael invests $2300 in the bank at a rate of 5.5% for a 6 year term, what will the interest be at the end of the term? (round to nearest cent)

3. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)

4. Jessie invests $3345 in the stock market. Over the 3 years she has this invested, she gets an average return of 7.8% simple interest. How much interest will she had made over the 3 year period? (round to nearest cent)

5. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term? (round to nearest cent)

6. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly? (round to nearest cent)

7. Gina deposited $1500 in an account that pays 11% interest compounded monthly.
What will the balance be in 5 years? (round to nearest cent)

8. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years? (round to nearest cent)

9. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended? (round to nearest cent)

(PLEASE ANSWER THESE QUESTIONS TONIGHT BY 8:00 PM)

Answers

Answer:

. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)

Step-by-step explanation:

Rice is being poured into a cylindrical container with radius 4.5 inches so
that the height of the rice is increasing at a constant rate of 0.5 inches per
second. At what rate is the volume of rice in the container increasing at
the instant when the height is the same as the radius? (=2ℎ)

Please help

Answers

asked:the istant of height is the same as the radius

given facts:cylindrical container with radius 3.5 inches height of rice increasing 0.5 inches per second

solve hidden given:(4.5+o.5+2)

what operation to be used: addition and subtraction

solve+4.5+05+2=6.0

chec: 6.0-4.5=1.5

Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?

Answers

Answer:

Step-by-step explanation:

300(0.70) + 200(0.95) = (300 + 200)x

                             400 = 500x

                                  x = 0.80

                                          80%

WILL AWARD BRAINLIEST AND 5 STAR
2. Marcus is writing the program for a video game. For one part of the game, he uses the rule
(x, y) ➡️ (x + 8, y – 3) to move points on the screen.
(a) What output does the rule give when the input is (-2, 1)? Show your work.
(b) What output does the rule give when the input is (0, -5)? Show your work.
(c) Is the rule a function? Explain why it is or why it is not.

Answers

(a) -2 + 8, 1 - 3
(6, -2)
(b) 0 + 8, -5 - 3
(8, -8)
(c) Yes, the rule is a function because x will never overlap with x and y will never overlap with y, when graphed it passes the vertical line test.

Answer:

I might be getting somthign comfised but here is what I derived from it.

Step-by-step explanation:

Marcus uses a rule of (x+8, y-3). What will be the output if the input is (-2,1) and (0,-5).

If it is going off of the math functions then the outputs would be simple math -

(6, -2) -2+8 and -3+1; (8, -8) 0+8 and -5-3 [if im doing the correct functions].

The X and Y is what gets me when trying to answer if it is a function or not, I would say it is because the x and y values are given and they are their values are substituted, the actual function is adding the 8 to the X and subtracting the 3 from the Y.

Hope this helps some

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Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.

b. Assuming the sequence is geometric:
i. Write the next four terms

ii. What is the generator?

iii. Write a formula for t(n).

iv. Create a table and graph your sequence

Answers

9514 1404 393

Answer:

  a. 12, 16, 20, 24; t(n)=4n

  b. 16, 32, 64, 128; t(n)=2·2^n

Step-by-step explanation:

a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...

  t(n) = t(1) +d(n -1)

  t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in

  t(n) = 4n . . . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24

A table and graph are shown in the first attachment.

__

b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...

  t(n) = t(1)·r^(n-1)

  t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in

  t(n) = 2·2^n . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128

A table and graph are shown in the second attachment.

Leonard conducts a study to see if the number of hawks in a park affects the number
of squirrels. What is the response variable in this study?
A.The number of hawks in the park
B.The number of squirrels in the park

Answers

In the experiment, the response variable is the dependent variable, or the measured variable.

The response variable in the study is; B. The number of squirrels in the park

Reasons:

The study Leonard conducts is a study to determine if the number of

hawks located in the park affects the number of squirrels in the park.

The response variable is the variable of the experimental result, which is

the dependent or output variable obtained by manipulating the input

variable.

In the experiment conducted by Leonard, the variable that is being

manipulated, which is the input variable is the number of hawks in the park

The variable that is being measured, which is the output variable or the

response variable, is; B. the number squirrels in the park.

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What are equivalent ratios for 32/8

Answers

Hey there!

32/8

= 32 ÷ 8 / 8 ÷ 8

= 4 / 1

Therefore, your answer should be: 4:1 or 4/1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

urgent help now plz i will give brainlest

Answers

Answer:

Step-by-step explanation:

First get the (m) which is the gradient by using the formula y2-y1/x2-x1

Pick any random 2 values from the table. I will pick. (1,4) (2,8)

Y2=8  Y1=4   X2=2  X1=1

8-4/2-1    4/1  = 4

Y=4x+c

Find the equation of the line which passes ​​​​​​through (0,7) at a gradient of 3

Answers

Answer:

y=3x+7

Step-by-step explanation:

y=mx+c

we have (0,7). (x,y)

so y-7/x-0=3

multiply by (x-0) both sides to get

y-7=3x take -7 to the other side of equal sign

it will be: Y=3X+7

A dog slept from 10:51 p.m. to 1:22 a.m. how long does a dog sleep

Answers

Answer:

2 hours and 31 minutes

Step-by-step explanation:

10:51 +9 =11:00

+ 2 hours = 1:00 +22 = end time

so added together 22+9= 31 + the 2 hours = 2 hours and 31 minutes

if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)​

Answers

Answer:

10

Step-by-step explanation:

Express the number in scientific notation. 7/100​

Answers

Answer:   7

×

10

2

Step-by-step explanation:

A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?

Answers

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...


Help me please ………..

Answers

Answer:

Step-by-step explanation:

Answer:

<QSR = 55°(180°-125°)

Step-by-step explanation:

therefore, p-8=55°

p=(55+8)° = 63°.

hope this helps you.

Jen has 93 beads ana has 46 red beads and 29 blue beads.How many more beads does Ana need to have 93 beads Also?​

Answers

Answer: 18

Step-by-step explanation: 93 - (46 + 29) = 18

what is the value of the digit 4 in 0.342​

Answers

Answer:

  0.04 = four hundredths

Step-by-step explanation:

To find the value of a digit in a number, set all the other digits to zero.

The value of the 4 is ...

  0.040

The 4 is in the hundredths place, so its value is four hundredths.

The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85

Answers

The box and whiskers plot visually presents the ages of the 12

The percentage of the 12 people older than 15 is 75%

Reasons:

The five number summary from the box and whiskers plot is presented as follows;

Minimum value = 7.5

Maximum value = 50

Lower quartile, Q₁ = 15

Upper quartile, Q₃ = 40

Median, Q₂ = 32.5

The first quartile is equivalent to the 25th percentile

Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;

Percent older than 15 = 100% - 25% = 75%

The correct option is 75%

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