The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
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
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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I=PRT used to calculate interest earned. How do I solve for T?
9514 1404 393
Answer:
T = I/(PR)
Step-by-step explanation:
Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.
I = PRT
I/(PR) = PRT/(PR)
I/(PR) = T
_____
Additional comment
Please note that parentheses are required around the factors of the denominator when you write this in plain text.
I/PR ≠ I/(PR)
I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication
If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:
[tex]T=\dfrac{I}{PR}[/tex]
show that √20 = 2√5
hence , 2√5 = √20
Three different maths books are arranged in a line on my table. In how many different orders can these Maths books be arranged.? *
in 5 ways
in 6 ways
in 7 ways
________________________________
that means is it horizontally
vertically
up
down
one by one ?
explain with an example
Answer:
Step-by-step explanation:
Three options for the first position
Two options for the second position
one option for the third position
3•2•1 = 6 ways
their orders could be
1) ABC
2) ACB
3) BAC
4) BCA
5) CAB
6) CBA
Answer:
Would be 6 ways
Step-by-step explanation
3x2=6
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined
Answer:
The answer is D cannot be determined
Step-by-step explanation:
this is because you don't have enough information
please help me i will give u a thanks
Answer:
1024
Step-by-step explanation:
because its going by 4
I need this done, FAST! EMERGANCY! 20 4 this!
The account balance of each of three children at the end of a month is shown below: John has −$2.75 Cheryl has −$3.00 Andrew has as much savings in his account as the amount John owes the bank. Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points) Part B: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
Answer:John has −$2.75
Cheryl has −$3.00
Andrew has as much savings in his account as the amount John owes the bank.
: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)
: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
Step-by-step explanation:
Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!
The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi
16/20 - (- 1.8) - 4/5 =
What is the first step needed to solve (2/5)x - 6 = -16
Answer:
Add 6 to both sides
Step-by-step explanation:
The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).
Divide. 1 4/9 ÷ 2/3 pls help
1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6
ok done. Thank to me :>
What is the y-intercept of the function /(x) = -2/9x + 1/3
Answer:
Step-by-step explanation:
f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3
simplify -4y+8y answer quick pls
Step-by-step explanation:
-4y + 8y = 4y
it is the same as -4 + 8 = 4
Answer:
4y is the answer.
Step-by-step explanation:
Since there is like variables, we can add -4y and 8y.
=> -4y + 8y = 4y.
Therefore, 4y is the answer. Hoped this helped.
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = (x + 4)^2[/tex]
Set x = 0, to calculate the y-intercept
[tex]f(0) = (0 + 4)^2[/tex]
Evaluate
[tex]f(0) = 16[/tex]
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
Read more about functions at:
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plz help I can't get it
Answer:
A) 0.25/0.6 B) 40:96 E) 1/3 / 0.8
Step-by-step explanation:
A)
0.25/0.6 = 1/4÷3/5
=5/12
B)
40:96 = 5:12 You can divide 40 and 96 both by 8 to get 5:12
=5/12
E)
1/3 / 0.8 = 1/3 ÷ 4/5
=5/12
Hope this helps :)
PLEASE HELP.
Directions: find x so that L || M. state the converse used
Answer:
8. x=6; supplementary consecutive interior angles
10. x = 4; no applicable theorem
Step-by-step explanation:
8.The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.
(7x -15) +(24x +9) = 180
31x = 186
x = 6
Consecutive interior angles being supplementary will make the lines parallel.
__
10.The sum of the remote interior angles of a triangle is equal to the exterior angle:
28x = 48 +16x
12x = 48
x = 4
The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.
_____
Additional comment
Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.
Does anyone know these answers?
Answer:
A
Step-by-step explanation:
We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4
Answer:
A. 3, 3, 4Step-by-step explanation:
Parallel segments to AE are:
BF, CG, DH ⇒ 3Parallel segments to EF:
AB, CD, GH ⇒ 3Segments intersecting with EF under right angle:
AE, EG, BF, GH ⇒ 4Correct choice is A
Use the Distributive Property to expand 3(6x-4y)-8
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
hi if you know 8th grd math pls help
Answer:
all correct except A.
Step-by-step explanation:
pls mark me brainly if u can
It is 9 kilometers from Charlie's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
9,000 meters
Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
[tex]x *\frac{2}{3} =20[/tex]
The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.
Solve for x:
[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]
DE = 30
Find the values of x and y.
X =
y =
Answer:
y=5
x=45
Step-by-step explanation:
I am not quite sure of x but I am positive for the value of y
Solve the inequality for u 20>u+8
Answer:
u < 12
Step-by-step explanation:
20 > u + 8 ( subtract 8 from both sides )
12 > u , then
u < 12
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this equation in one step, which is Algebra, I'll start solving the problem now.
Algebra
We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.
[tex]20>u+8\\12>u[/tex]
As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.
We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.
We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:
[tex]20>11+8?\\20>19[/tex]
We've proven that its correct.
So our final answer is [tex]u<12[/tex].
Cheers!
rewrite in slope intercept
a(bx + y) = c
Can anyone help me with this equation? I need to show the work
Simplify the expression (5-4i) (-3 - 4i) – (10-3i)
Answer:
[tex]-5i-41[/tex]
Step-by-step explanation:
Hi there!
[tex](5-4i) (-3 - 4i) - (10-3i)[/tex]
Open up the parentheses
[tex]= -15-20i+12i+16i^2- 10+3i[/tex]
i² = -1
[tex]= -15-20i+12i-16- 10+3i[/tex]
Combine like terms
[tex]= -5i-41[/tex]
I hope this helps!
Need the answer to this pls
Answer:
b
Step-by-step explanation:
y=-1/4 x -3
Due Tomorrow: answer question 1 with steps
Answer:
the 1 st qn that is no2 c is just down right corner am I right
Step-by-step explanation:
plzzz make me ans as the brainliest ans
What is the degree of each polynomial?
(x^2 - y)^2 Degree _______
8x^4-5x^7+4c^5 Degree ______
x^2y^3/3+2x^3+8x^3 Degree ______
x^4 +2x^3-6x^4-17 Degree ______
-x^2+7x-4x Degree _____
x^7+y^8+x^7-y^8 Degree_____
Answer:
A- 4
B- 5
C- 8
D- 4
E- 2
F- 7
I'm 99% sure these are right!! I hope this helps :(