Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
simplify
4/12 + 9/12
Answer:
4/12 + 9/12 is 13/12 ( the mix number is 1 1/12)
Step-by-step explanation:
Answer:
1 1/12
Step-by-step explanation:
4/12 + 9/12 = 13/12
13/12 = 1 1/12
Which number is divisible by 10?
113
60
114
137
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Only number 60 is divisible by 10 because 60/10= 6
Can someone pls tell me
Answer:
Part A would be B, and Part B would be C
Step-by-step explanation:
With the graph that B shows, the distance to time ratio is cut very sharply, indicating that there wasn't a constant speed throughout the entire time, up until where the graph went from shooting upwards to slightly inclining.
With the graph that C shows, out of all of the graphs, it is the only graph that shows the fact that the person went back to their starting point, indicating that they did return home because they forgot something.
I hope this helps :)
what is the value of x in the equation-2/9x+9=4/3x-3
i need help as soon as possible i’m taking a unit test
Answer:
the value of x is 54/7. In mixed form it is 7 5/7
Step-by-step explanation:
Answer:
2/5
Explanation:
I took the test.
The major role of carbohydrates in the human diet is to
Answer: Carbohydrates have many roles, but the main one is to provide energy. But, they also build macromolecules and store energy
Hope this helps :)
Answer:
Provide the body with energy
Hope this helps!!!
What is the measure of angle MPJ?
where is the rest of the information?
What will be the new coordinates of point B if the red triangle is reflected over the y.Axis
Answer:
(-4, 5)
Step-by-step explanation:
(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.
Please help WILL GIVE BRAINLIEST‼️
Answer:
384 cubic meters
Step-by-step explanation:
Think of it as two rectangles on top of each other and then add the two volumes.
Volume is l*w*h
So for the bottom rectangle: (8) (12) (2) = 192 cubic meters
And for the top rectangle: (4)(6)(8) = 192 cubic meters
It is important to remember that for the top box you have to subtract the height of the bottom box which is why I used 4 for the height instead of 6.
Then you add them together.
192+192 = 384 cubic meters
The table below shows the account balances for four different customer accounts at the City
Bank. Which account balance represents a debt that is greater than $20 and less than $30?
Account Balance ($)
$25
-$34
-$24
$17
-$34
$25
$17
- $24
Answer:
-$24
Step-by-step explanation:
From the list of account balances given, the amount that corresponds to or represents a debt that is greater than $20 and less than $30
Is - $24,
The negative sign indicates the debt already, hence the amount of debt is greater than $20 but less that $30 of debt
The debt amount -$24 represents the debt that is greater than $20 and less than $30.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
We have data shown in the table.
It is required to find the account balance represents a debt that is greater than $20 and less than $30.
If plot the debt on a number line, we will see:
The debt -24 is between -30 and -20.
Thus, the debt amount -$24 represents the debt that is greater than $20 and less than $30.
Learn more about the number line here:
brainly.com/question/13189025
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Help! I need an explanation to the answer to get brainliest!
Answer:
Step-by-step explanation:
Use FOIL method
(2k + 1) (k - 4) = 2k*k + 2k*(-4) + 1*k + 1*(-4)
= 2k² - 8k + k - 4 {add the like terms}
= 2k² - 7k - 4
Answer:
2k²-7k-4
Step-by-step explanation:
(2k + 1 ) (k - 4)
2k * k - 2k * 4 + k - 4
2k² - 8k + k - 4
2k² - 7k - 4
Inverse fiction of
(4/(x+2))-1
Step by step pls
If u know math help me pls
Answer:
17
Step-by-step explanation:
subtracting a negative is actually adding a positive so youd add these two together which would result in 17
a case of 10 peanut butter has a mass of 7.5 kg. What is the mass of 1 jar of peanut butter?
Answer:
i believe it is .75
Step-by-step explanation:
solve this and help me plsss
Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
(2) In the expression, 5x^2 + 6 the "5" is called a
O
Constant
Term
O Exponent
O coefficient
☺️☺️☺️☺️☺️☺️help please and thank you:)
Answer:
the anwser is a
Step-by-step explanation:
The triangle is created by the path that Julie walks from home, to school, to the park then back to home . How many miles is the perimeter of her walk?
Answer:
2.4+2.1+1.5=6
Step-by-step explanation:
Took the test
The number of miles that he walked will be 6 miles.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
The perimeter of her walk is calculated as,
P = 2.4 + 2.1 + 1.5
P = 6 miles
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Which statement is true about perpendicular lines?
The lines are in the same plane but never intersect.
The lines intersect at an acute angle.
The lines intersect at a right angle.
The lines are not in the same plane.
The statement "The lines intersect at a right angle." is true about perpendicular lines.
What are perpendicular lines?Perpendicular lines are lines that intersect with other lines at an angle of 90°.
It is asked to find the correct statement about perpendicular lines from the given options.
A line is said to be perpendicular to another line when the angle created between them is a right angle.
This means that the only statement among the given statements that correspond to perpendicular lines is that they intersect at a right angle.
Therefore, we have found that the statement "The lines intersect at a right angle." is true about perpendicular lines.
Learn more about perpendicular lines here: https://brainly.com/question/1202004
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A plane intersects one cone of a double-napped cone such that the plane is parallel to the generating line.
A. hyperbola
B. circle
C. parabola
D. ellipse
Fill out the following table.
Do you see a pattern? Do you think this will always be true? Why or why not?
Answer:
I had the same question just without the why or why not, But it will always be true :)
Step-by-step explanation:
Hope It Helps :)
Find the value of x. Round to the nearest hundredth. ( NEED ANSWERED ASAP)
Answer:
5.74 = x
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(8+3) * 3 = x^2
11*3 = x^2
33 = x^2
Take the square root
sqrt(33) = sqrt(x^2)
5.744562647 = x
Round to the nearest hundredth
5.74 = x
Please help what is the solution to the equation AX = B?
Answer:
The first one
Step-by-step explanation:
In this question, we are trying to find X, so can solve this by back-solving. multiply the choices by the A until they equal B. If you do it for the first one then you should gett B.
Answer:
Option D.
Step-by-step explanation:
edge test
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answr is option 4 or also known as b
Step-by-step explanation:
Find u · v.
u = 6i − 5j
v = i − j
Answer:
i am not intelligent boy I am slow in math
Step-by-step explanation:
ok please let me know
(PLEASE HELP I WILL GIVE BRAINLIEST!!)
D. At what number of hours do both companies charge the same amount?
E. Look at your answer for Part D. How much money does each company charge for this number of hours?
Answer:
D. 8
E. 130
Step-by-step explanation:
D. set the equations equal to each other than solve and try to get one side with the x's.
10x+50=5x+90
-5x -5x
5x+50=90
-50 -50
5x=40
divide 5 on both sides
x=8
E. plug in 8 as x for either equation
=5(8)+90
=40+90
=130
=10(8)+50
=80+50
=130
(10 points!!) help please
Answer:
66
Step-by-step explanation:
Parallel lines s and t are cut by a transversal r.
Which angles are alternate exterior angles?
Angle2 and Angle8
Angle4 and Angle6
Angle1 and Angle5
Angle1 and Angle8
Answer:
Angles 2 and 8.
Step-by-step explanation:
Alternate exterior angles are two angles that have the same measurement but are on the outside of a pair of lines.
The pair 2 and 8 fits these requirements.
Hope this helps!
Answer:
C
Step-by-step explanation:
I did the quiz on Edg
Pls help me on this question !
I need help with the puzzle plsssss it’s due Wednesday!
Answer:
f=f g=g e=e
Step-by-step explanation:
Can someone help me with my maths I’ll give brainliest.
Answer: A is 40
B is 92.5
C is 27.5
Step-by-step explanation:
