Mathematics College

Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5​

Answers

Answer 1

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

Answer 2

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

What is Arithmetic Progression?

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

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Related Questions

three pounds of flour cost $1.65. how much flour do you get per dollar? round your answer to the nearest hundredth.

Answers

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

What is unitary method ?

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

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Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

Answers

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Help due in 30 min!!!!!!!!!!!!!!!

Answers

Answer: -1/4

Explanation:

m = (y1 - y)/(x1 - x)
m = (4-3)/(3-7)
m = 1/-4 = -1/4

Answer:

b. - 1/4

Step-by-step explanation:

Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4

n +8<-2 or 8+ n > 5
I’m supposed to solve and graph this compound which I did but I’m not sure if it’s correct or not it’s after school hours and I’m not allowed to contact my teacher
I got n<-10 Or n>-3
I just want to know if I did this correct please? Sorry for the messy handwriting in the picture

Answers

Answer:

the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.

Step-by-step explanation:

Hope this helps

what is the point of this

Answers

Answer:

B and I are both coplanar

Step-by-step explanation:

The line y= -0.5x+b passes through the points (1,5,5), (3,p), (4,4),and (7,n) Find b,n,and p

Answers

Answer:

b = 6 n = 2.5 and p = 4.5

Step-by-step explanation:

had the same question

The value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = -0.5x + b

The line is passing through (4, 4), then the value of b will be

4 = -0.5 × 4 + b

4 = - 2 + b

b = 4 + 2

b = 6

Then the equation will be

y = - 0.5x + 6

The equation is passing through (3, p), then the value of p will be

p = -0.5 × 3 + 6

p = - 1.5 + 6

p = 3.5

The equation is passing through (7, n), then the value of n will be

n = -0.5 × 7 + 6

n = - 3.5 + 6

n = 2.5

Then the value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

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Select 5.3125 as a mixed number in simplest form

Answers

Fsgjkmnsffsrliu qghjkfeeefhjihg

Which expression is equivalent to w4−25w2+144
?

(w2+9)(w2−16)

(w−3)(w+4)(w−3)(w−4)

(w−3)(w+3)(w2−16)

(w2−9)(w2+16)

Answers

Sorry I’m just commenting to do it

4 pounds of grapes cost $11.52. what is the unit rate?

Answers

Answer: 2.88/1

Step-by-step explanation:

Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years

Answers

A = p(1+r/n)nt A = final amount p = principal = 2000 r = interest rate = .04 n = # times compounded pet year = 2 t = time in years = 7  A = 2000(1+.04/2)2(7) A = 2000(1.02)14 A= 2638.957HOPE IT HELPS.....

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure? ​

Answers

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

What is the value of x, given that f, g, and h are parallel to each other?

Answers

Answer:

B)2

Step-by-step explanation:

to understand thisyou need to know about:parallel linesPEMDASlet's solve:

since f || h the length of two lines have to be equal

according to the question:

11x=7x+811x-7x=84x=8x=8/4

hence,

x=2

500+100 = ?? A700 B800 C600

Answers

Answer:

C

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.

Which measurement is the best representation of the distance between point D and point E in units?

Answers

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

Which statement is most likely to be true for this distribution?

A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

How will increasing her salary affect the median and mean ?

Answers

Answer:

Her increasing the salary will mean

Step-by-step explanation:

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Answer:

You're supposed to start at the zero

Dan says that all quadrilaterals are parallelograms. Tom says that it is not true. Explain who is correct??

Answers

Answer:

Tom is correct

Step-by-step explanation:

Quadrilaterals are polygons that have four sides.

Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral

Parallelogram is a type of quadrilateral with opposite sides equal and parallel

The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?

Answers

Answer:

32 values

Step-by-step explanation:

Given the stem. Plot :

STEM ___ Leaf

4 | 024477889

5 | 001222234477888

6 | 02378

7 | 348

The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.

The values are :

40, 42, 44, 44, 47, 47, 48,48, 49

50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,

60, 62, 63, 67, 68

73, 74, 78

Find the nth term of
1x2x3+2x5x6+3 x 4x​

Answers

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

1/8 y -1 +1 < -5+1
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32

1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1

Answers

The answer is C.2 I’m pretty sure
The answer is C!!! Make sure to like this comment please!

Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.

Answers

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

Solve for g.
3(q - 7) = 27

g=

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27  Equation

Step 2

3(q-7)=27  Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48  Divide

answer

Q=16

Hope this helps

What is the last digit of 777^777?

Answers

Answer:

7 I. guessing oh wait nah its fish

Which of the following equations was used to graph the line shown pls help

Answers

The answer is A. y=2x

Graph

y + 4 = 2/5 (x − 3)

Answers

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

NAME
7. Factor each quadratic expression,

Answers

Step-by-step explanation:

x² - 2x - 35 = (x - 7)(x + 5).

x² + 3x - 54 = (x + 9)(x - 6).

x² - 4x + 4 = (x - 2)².

x² - 121 = (x + 11)(x - 11).

2x² + x - 15 = (2x - 5)(x + 3).

6x² - 7x - 24 = (3x - 8)(2x + 3).

3x² - 10x + 8 = (3x - 4)(x - 2).

10x² + 9x - 9 = (5x - 3)(2x + 3).

12x² + 25x + 12 = (4x + 3)(3x + 4).

15x² - x - 6 = (5x + 3)(3x - 2).

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

5. Carolina drives on I95 for 90minutes (1.5hr) going 45mi/hr. How far did she get?

Answers

Answer:

67.5 miles far

Step-by-step explanation:

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