Find the sum of all the integers from 1 to 100 inclusive that are not
Multiples of 7.

Answers

Answer 1

Step-by-step explanation:

[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive that are NOT multiples of 7 as } S.[/tex]

[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive that are multiples of 7 as } P.[/tex]

[tex]\text{Denote The sum of all the integers from 1 to 100 inclusive as } Q.[/tex]

Then

[tex]\begin{align}S&=Q-P\\&=\frac{100(100+1)}{2}-(7+2\cdot7+\ldots+14\cdot7)\\&=\frac{100(100+1)}{2}-7\cdot\frac{14(14+1)}{2}\\&=4315\end{align}[/tex]


Related Questions

x^4 -(3m+2)x^2 +3m+1 +0
tìm m để phương trình có 4 nghiệm phân biệt nhỏ hơn 2

Answers

Answer:

3

4

4

3

4

4

3

5

5

3

4

5

5

4848

Step-by-step explanation:

hope I helped

Which of the following statements is true?
(A) The greatest prime factor of 18 is 9. (B) The greatest prime factor of 21 is 3.
(C) The greatest prime factor of 4 is 2
(D) The greatest prime factor of 34 is 11.​

Answers

Answer:

C is your answer

Hope this helps

what is nine times the difference of a number and four written in number form?

Answers

Answer:

9(n-4)

Step-by-step explanation:

Solve for X. Show your work

2x + 6 = x - 5

Answers

2x + 6 = x - 5

2x - x = -5 - 6

x = -11 ← the end

the owner of two hotels is ordering towels. he bought 11 hand towels and 22 bath towels for his hotel in Oxford, spending a total of $220. he also ordered 65 hand towels and 14 bath towels for his hotel in Greenpoint, spending $256. how much does each towel cost​

Answers

Answer:

$4.25

Step-by-step explanation:

11+22+54+14=112

$220+$256= 476

476÷112=$4.25

23. Movie lengths IT.' Exercise 21 looked at the running
times of movies released in 2005. The standard deviation
of these running times is 19.6 minutes, and the quartiles
are Qi 97 minutes and Q; = 119 minutes.
a) Write a sentence or two describing the spread in
running times based on
i) the quartiles.
ii) the standard deviation.
b) Do you have any concerns about using either of these
descriptions of spread? Explain.

Answers

The answer to ur question is ii

someone please help me understand how you expand and simplify brackets:(

Answers

(3x-2)(2x²+x+5)3x (2x²+x+5) -2 (2x²+x+5)6x³+3x²+15x-4x²-2x-106x³+3x²-4x²+15x-2x-106x³-x²+13x-10this is the answer may u like it and hope full it will be the correct

please mark this answer as brainlist

There are five people in Lexi's family. Two of them prefer vanilla ice cream and three prefer chocolate ice cream. Which fraction could be used to describe her family members that prefer chocolate ice cream?

Answers

Answer:

3/5 prefer chocolate, and 2/5 prefer vanilla

Answer:

3/5

Step-by-step explanation:

Porque 3 es lo que representa la familia Lexi de los que les gusta el helado de chocolate, entonces sería 3 de 5

Turn 40/50 into a decimal
Turn 293/1000 into a decimal

Answers

40/50= 0.8

293/1000=0.293

Step-by-step explanation:

40/50

= 0.8

293/1000

Since the zeros are three,move three times from backwards to forward.

=0.293.

Hope it's useful.

Hope it's useful.If so,mark as brainliest.

U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {1,3,5}
B = {1,4,6}


AUB =

Answers

Answer:

AUB= {1,3,4,5,6}...

Step-by-step explanation:

....

Refer to the figure. Find the value of x and y

Answers

Answer:

muumhn

Step-by-step explanation:

ooioop ti for any purpose ki like what would appreciate having said they should make sense since last day after some things

100 Points and brainy if answered correctly ASAP!!!!

Answers

The very last one, -2 < x < 1

Answer:

its the last one

Step-by-step explanation:

Help me with problems 23 “ solve for d “

Answers

Answer:

d = 72

Step-by-step explanation:

d + 13 + 95 = 180

(Angles are supplementary)

d + 108 = 180

d = 180 - 108

d = 72

PLZ EXPLAIN AND I'LL GIVE BRAINLY!!!!


Find the 7th term in the
sequence
1, -3, 9, -27,..


Hint: Write a formula to help you.

1st term x Common Ratio^(desired term – 1)
Remember to use the correct Order of Operations!

Answers

Hello there!

Given the sequence:

[tex] \displaystyle \large{ 1, - 3,9, - 27,...}[/tex]

The question reveals it to be geometric sequence since it has common ratio.

Geometric Sequence / Ratio Formula

[tex] \displaystyle \large{r = \frac{a_{n + 1}}{a_n} }[/tex]

Define 'r' as common ratio.

First, let's check the common ratio by using the formula above.

Ratio Check

[tex] \displaystyle \large{r = \frac{ - 3}{1} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ 9}{ - 3} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ - 27}{9} \longrightarrow - 3 }[/tex]

Therefore, the common ratio or r-value is -3.

To find the 7th term of sequence, you can by using the General Geometric Terms.

General Term of Geometric

[tex] \displaystyle \large{a_n = a_1 {r}^{n - 1} }[/tex]

a1 is defined as the first term of sequence.

r is common ratio.

n is the term.

Since we want to find 7th term:

a1 = 1r = -3n = 7

[tex] \displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\ \displaystyle \large{a_7 =1{( - 3)}^{6} } \\ \displaystyle \large{a_7 =729 }[/tex]

Therefore, the 7th term of this sequence is 729.

Let me know if you have any questions!

Topic: Sequence and Series / Geometric Sequence

-2-(-5) = -2 + (-5)
2- =

Answers

Answer:

-4 Is the answer I think hope it will help u

Pretty sure it is -4 hope this helped

Nine less than a number is -24.
Find the number.
number the resu

Answers

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

Lines that are not in the same plane are called __________
A. Parallel

B. Transversal

C. Perpendicular

D. Skew

Answers

Answer:

it's A) Parallel lines

Answer:

A. parallel

Step-by-step explanation:

Let me know if I am wrong.

What is 2 x 2 ? Plz say fast
Hehe​

Answers

Answer:

It is 5*5*4/25

Hope it helps

haha

Answer:

4

Sana makatulong thanks me later

distance between (-2,4) and (-38,-156)

Answers

Answer:

d = 164

Step-by-step explanation:

- To find the distance between two points, we have to plug the values into the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

d = √(-156 - 4)² + [-38 - (-2)]

d = √(-160)² + (-36)²

d = √(25600) + (1296)

d = √26896

d = 164

Find the slope-intercept form of the equation of each of the following lines.
Passes through (6, 4) and has slope =1/2

Answers

Answer:

[tex]y=\displaystyle\frac{1}{2}x+1[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

Now, to solve for the y-intercept, plug in the point (6,4) and solve for b:

[tex]4=\displaystyle\frac{1}{2}(6)+b\\\\4=3+b\\b=1[/tex]

Therefore, the y-intercept of the line is 1. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+1[/tex]

I hope this helps!

Find the value of X and RS if S is between R and T

Answers

Answer:

x = 10; RS = 60

Step-by-step explanation:

RS + ST = RT

6x + 12 = 72

6x (+ 12 - 12) = 72 - 12

6x = 60

6x/6 = 60/6

x = 10

RS = 6x

RS = 6(10)

RS = 60

3(4x+2)=20x-9x+2 what is the value of x?

Answers

Simplifying
3(4x + 2) = 20x + -9x + 2

Reorder the terms:
3(2 + 4x) = 20x + -9x + 2
(2 * 3 + 4x * 3) = 20x + -9x + 2
(6 + 12x) = 20x + -9x + 2

Reorder the terms:
6 + 12x = 2 + 20x + -9x

Combine like terms: 20x + -9x = 11x
6 + 12x = 2 + 11x

Solving
6 + 12x = 2 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
6 + 12x + -11x = 2 + 11x + -11x

Combine like terms: 12x + -11x = 1x
6 + 1x = 2 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + 1x = 2 + 0
6 + 1x = 2

Add '-6' to each side of the equation.
6 + -6 + 1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

Combine like terms: 2 + -6 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

Answer:

x = -4

Step-by-step explanation:

3(4x+2)=20x-9x+2

12x +6 = 11x +2

1x = -4

Select the correct answer.
Choose the number sentence that illustrates the distributive property of multiplication over addition.

3 × (4 + 6) = (3 × 4) + (3 × 6)

3 × (4 + 6) = (3 + 4) × (3 + 6)

3 × (4 + 6) = (3 × 4) + 6

Answers

Answer :
3 x (4 + 6) = (3 x 4) + (3 x 6)


Explanation :
(4 + 6) = 10 x 3 = 30

Robert climbed 755 steps in a mix fraction of 12 1/2. How many steps did he average per minute?

Answers

Answer:

60.4 steps per minute

755 divided by 25/2 (12 1/2) equals 60.4

which sum will be irrational

Answers

Hey there!

The answer is:

Option 'B'

[tex] \sqrt{19} + \frac{7}{2} [/tex]

BECAUSE root 19 is irrational.

Hope it help you

what is the value of y ?


;-;

Answers

Answer:

C) 94

Explanation:

It is the same angle as the one that is measured to be 94°

Under her cell phone plan, Aubree pays a flat cost of $50.50 per month and $4 per gigabyte. She wants to keep her bill at $56.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Aubree can use while staying within her budget.

Equation:
Answer: g =

Answers

Answer:

50.50 + 4g ≤ 56.10

Step-by-step explanation:

The variable is g, the amount of gigabytes she uses and each gigabyte costs $4 therefore the equation must be set as the flat fee, $50.50 plus 4g since it costs $4 per gigabyte to be less or equal to $56.10 since Aubree wants to stay below $56.10.

Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y =mx + b, what is the value of b?
0-5
0 -2
0 1
O 5

Answers

Answer:

5

Step-by-step explanation:

In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.

Let's find the slope using the formula below:

[tex]\boxed{slope = \frac{y1 - y2}{x1 -x 2} }[/tex]

[tex]m = \frac{3 - ( - 3)}{1 - 4} [/tex]

[tex] m = \frac{3 + 3}{ - 3} [/tex]

[tex]m = \frac{6}{ - 3} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +b

To find the value of b, substitute a pair of coordinates into the equation:

When x= 1, y= 3,

3= -2(1) +b

3= -2 +b

b= 3 +2 (+2 on both sides)

b= 5

Thus, the 4th option is correct.

evaluate each expression for x=3 and y=2
x+7
8-y

Answers

Step-by-step explanation:

1)x+7

3+710

2)8-y

8-26

hope it helps.stay safe healthy and happy...
3+7=10
8-2=6
Here is the answer hope it help you

Find the slope of the line that passes
through each pair of points.
a. A(1,3), B(4,7)
b. C(3,5), D(2,6)
does anyone know this?

Answers

Answer:

a) [tex] \frac{4}{3} [/tex]

b) -1

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

where (x₁, y₁) is the first point and (x₂, y₂) is the second point

6a) Slope

[tex] = \frac{7 - 3}{4 - 1} [/tex]

[tex] = \frac{4}{ 3} [/tex]

6b) Slope

[tex] = \frac{6 - 5}{2 - 3} [/tex]

[tex] = \frac{1}{ - 1} [/tex]

= -1

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