The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?

Answers

Answer 1

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

Answer 2

The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Let's say the first integer is x.

Then, next terms will be x + 1, x + 2, x + 3, x + 4.

It is known that,

Mean = sum of data / Number of data

(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021

(5x + 10)/5 = 2021

x + 2 = 2021

x = 2019

Now, first, three consecutive integers will be,

2019,2020 and 2021

The mean of the above integers will be,

(2019 + 2020 + 2021)/3 = 2020

Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".

For more about the mean,

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Related Questions

Either enter exact answer in terms of pie or 3.14

Answers

Answer:

18 π ≈ 56.52

Step-by-step explanation:

The formula for the volume of a cylinder is V = π · r² · h.

This cylinder has a height (h) of 2 and a radius (r) of 3.

Therefore the volume is:

V =  π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.

4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?

Answers

there are 7 feet because there are 5 on each foot do 35 divided by 5 is 7

Helppppp Pleaseeeeeee

Answers

Answer:

what is the question

Step-by-step explanation:

ILL GIVE BRAINIEST IF RIGHT

Is the product of rad 784 and rad 684 rational or irrational? Explain your resonating.

Answers

Answer:

Definitely rational because 576 and 684 are both natural numbers

Step-by-step explanation:

Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours

Answers

Step-by-step explanation:

set up a proportion

12 patients. 96 patients

---------------- = ------------------

2 hours. ?

96 • 12 = 1152

1152 ÷ 2 = 576 hours

Answer:

16hours

Step-by-step explanation:

12=2

96=x

crossmultiply

12x=192

x=192÷12

x=16

6+7+8+...+(n+5) find the sum.

Answers

Answer:

n + 26

Step-by-step explanation:

first you have to simplify

6 + 7  +8 + n + 5

then combine the like terms

6 + 7 + 8 + n + 5

(n) + ( 6 + 7 + 8 + 5)

= n + 26

hope this helps

I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?

Answers

where is the question?

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]

Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .

However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.

Use co-factor expansion along any row or column of your choice.

This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.

In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc

I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :

∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]

Help help help help help please math I’m stuck

Answers

Answer:

A' (-2, -4)

B' (1, -8)

C' (-3, -16)

Step-by-step explanation:

Since k is the vertical scale factor, multiply all y coordinates by 4. All x coordinates will remain the same.

to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20 ​

Answers

Answer:

xy

Step-by-step explanation:

Use properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

A. -5/2

see the attachment for explanation

hope it helps

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\bf{Amphitrite1040:)}[/tex]

I DONT KNOW THIS QUESTION

Answers

**Answer**

11/4z + 6/20

**EXPLANATION**

Can someone please help me I will mark u brilliant

Answers

(4 4/7) you don’t have to mark me brilliant but I hope this helps

Write the number below as a fraction in its simplest form
0.41 recurring

Answers

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

If f(x)=2(x2+5), then f(-3)=

Answers

Answer:

-1

Step-by-step explanation:

So you would do

-3×2= -6

then do

-6+5= -1

noah ran 2 1/2 miles in 3/5 hour

Answers

Answer:

4.1(6), 25/6, or 4 1/6 mph

Step-by-step explanation:

2.5/0.6=25/6

Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3

Answers

Answer:

-4,-1,2,3

Step-by-step explanation:

A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
How many pounds does the owl weigh?

Answers

Answer:

4 pounds

Step-by-step explanation:

Add 16 64 divided

The snowy owl weighs is 4 pounds.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that A snowy owl weighs 64 ounces.

16 ounces (oz) = 1 pound (lb)

We have to determine the number of pounds the owl weighs.

Let x pounds would be the owl weighs

We can write this as a ratio as

16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds

⇒ 16/1 = 64/x    

⇒ (16)(x) = 64

Divide each side by 16

⇒ x =64/16

⇒ x = 4

Therefore, the snowy owl weighs is 4 pounds.

Learn more about the Ratio here:

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An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?​

Answers

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?

Answers

40/20=2

So an opossum is 2 times as long as a bat

pls help me i will mark you brilliant​

Answers

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?​

Answers

You need 9 cause 9 x 51
You need 9 cups of peanut butter

I am good at reading not math I need help please

Answers

Step-by-step explanation:

the answer is attached

I Hope This Help

7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???

Answers

Think about it like this.
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.

Answer:

No.

Step-by-step explanation:

I think you're talking about simplifying/reducing the fraction.

You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.

The answer is already in its lowest/reduced form. You do not divide.

Please let me know if this was not what you were talking about!

Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)

Answers

Answer:

y=2x+9

Step-by-step explanation:

I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.

At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5

Answers

Answer:

$3

Step-by-step explanation:

https://brainly.com/question/16432745

the stages in
V89S8Sc
a
1
The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.

Answers

Answer:

  7.1 cm

Step-by-step explanation:

You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.

  V = πr²h . . . . . formula for the volume of a cylinder

  h = V/(πr²) . . . formula solved to give h

  h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm

The depth of the water is about 7.1 cm.

WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

to find slope the equation (y2 - y1) / (x2 - x1) is used

this means change of y over change of x

[-17 - (-2)] / (-3 - 2)

(-17 + 2) / -5

-15 / -5 = 3

the slope is 3

to find slope intercept form you must find the y intercept

using y = 3x + b and plugging things in we can find it

we can plug in the first point

-2 = 2(3) + b

b is your y intercept

-2 = 6 + b

b = -8

Answer:

y = 3/1x - 8

steps:

(2,-2) (-3, -17)

x1. y1. x2. y2

y2-y1

x2-x1

-17 - -2 = -15. = 3

-3-2. -5. 1

(2,-2)

y= mx + b

-2 = 3/1(2) + b

-2 = 6 + b

-6 -6

-8 = b

y = 3/1x - 8

What is the period of the trigonometric function f(t) = 3sin()?
A) 2 pi
B) 3 pi
C) 4 pi
D) pi / 2

Answers

Your answer would be B) 3 pi

Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?​

Answers

The greatest number is 5. 3 cans of regular and 4 cans of diet. The most 15 can be divided by similarly to 20 is by 5.
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