The sum of four consecutive even integers is -892. Find the four numbers.
Divide by the amount of consecutive numbers (4 in this instance)
It will be within a small range of those numbers
ex. The sum of 3 consecutive even integers is 24.
24/3 =8
Now guess and check
4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10
6+8+10=24
Do roughly the same thing
All four consecutive even integers are;
-226 , -224 , -222 , -220
What is Integers?
An integers is a whole number which can be positive, negative or zero.
Given that;
Sum of four consecutive even integers is -892.
Let four consecutive even integers are;
2x , 2x + 2 , 2x + 4 and 2x + 6
Since, Sum of four consecutive even integers is -892.
Hence, We can formulate;
2x + 2x + 2 + 2x + 4 + 2x + 6 = -892
8x + 12 = -892
Subtract 12 both sides,
8x + 12 - 12 = -892 - 12
8x = -904
Divide by 8,
x = -904 / 8
x = - 113
So, All four even numbers are;
2x = 2 × -113 = -226
2x + 2 = -226 + 2 = -224
2x + 4 = -226 + 4 = -222
2x + 6 = -226 + 6 = -220
Thus, All four consecutive even integers are;
-226 , -224 , -222 , -220
Learn more about the integers visit:
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The half-life of hellium-5 is 7.6x10^-22 seconds, and the half-life of hellium-9 is 7x10^-21 seconds. Approximately how many times greater is the half-life of hellium-9 than that of helium-5?
Answer:
9.2 times greater
Step-by-step explanation:
Given that :
Half life :
Helium - 9 = 7x10^-21 seconds
Helium - 5 = 7.6x10^-22 seconds
To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5
7x10^-21 seconds / 7.6x10^-22 seconds
0.9210526 x 10^(-21 - (-22))
0.9210526 * 10^1
= 0.9210526 * 10
= 9.2105
About 9.2 times greater
Please help, will give brainelst to right answer.
Answer:
What do you need help on.
Step-by-step explanation:
What is the area of a square with side lengths of 3/5 units? Please explain how you know.
how many solution's does each graph of system of linear equations have?
36 pt = qt
how many pt are in a qt
Answer: 36 pt = 21.6171 qt. There are 1.66535 pints in a quart.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 pints are in 1 quart
(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?
Answer:
Simplify the expression=
− 3 x^ 2 + 2 x
It's the same thing in standard form.
Step-by-step explanation:
Answer:
-3x^2+2x
Step-by-step explanation:
Natalie has 30 pens, charlie has 20% fewer, even has half of the amount of pens charlie has. How many pens does even have?
Answer:
Even has 12 pens
Step-by-step explanation:
Charlie has 24 pens
Answer:
3 pens
Step-by-step explanation:
20% of 30 is 6. 6 divided by 2 is 3.
Find the approximate perimeter of △ABC plotted below.
Answer:
The perimeter of triangle ΔABC is approximately;
(A) 20.0
Step-by-step explanation:
In ΔABC, the coordinates of the vertices are given as follows;
A(-4, 1), B(-2, 3), C(3, -4)
The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83
The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6
The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6
The perimeter of a geometric shape is equal to the sum of the length of sides of the figure
The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])
∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.
Answer: 20.0
Step-by-step explanation: Khan Academy
I cant get any of these and it’s late someone help me!pleaseeeeei used to be a straight A student I need help with all of them
Answer
3
6
18.85
28.27
Step-by-step explanation:
O can help with the rest if needed but the basic equations is
Circumference = 2 times pie times the radius (on this case 3)
Area = pie times radius squared
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
16 model airplanes on his shelf
4 times as many model airplanes as model trains
let's denote the number of model trains as m
So,
m=16×4
m=64
Therefore,there are 64 model trains.
pleasemark me as brainliest answer
May you please help me with this
Answer:
ratio of a is 44:56, ratio of b is 97:3
fraction of a is 44/100, fraction of b is 97/100
decimal of a is 0.44, decimal of b is 0.97
percent of a is 97%, and percent of b is 97%
if this is wrong im so sorry :()()()()(
step-by-step explanation:
The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61
Answer:
A
Step-by-step explanation:
P=2L+2w
P=61
W=W
Since length is 4cm longer
Therefore length=W+4
General equation=2w+2(w+4)=61
What angle is the picture classified as?
Answer:
I think it's non of these.
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
y = -3/4x + 4.5
Step-by-step explanation:
Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos
Answer:
Kg de carne= 15 kg
Step-by-step explanation:
Dada la siguiente información:
Una persona compra 2.5kg de carne por día.
Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:
Kg de carne= kg por día*cantidad de días
Kg de carne= 2.5*6
Kg de carne= 15 kg
URGENT!!! PLS HELPPP!!!
Answer:
17 and 19
Step-by-step explanation:
can someone simplify 8+3(x-4) for me. I need works, answer, and reasoning
Answer:
3x+-4
Step-by-step explanation:
8+3(x-4)
8+3x-12
8-12+3x
-4+3x
can you mark me the brainllest please
-2 (2x - 3) = 26
what is the the value of the x
Answer:
-5
Step-by-step explanation:
Answer:-8
Step-by-step explanation:-2 x 2 = -4, -2 x 3 = -6
-4x - -6, -4 x -8 = 32. 32- -6 = 26
:)
Having trouble solving this:
Answer:
your answer is 139/ 250
Step-by-step explanation:
I did this already good luck! hope this helps
Please help
thank you
Step-by-step explanation:
11/4 then reduce
2 3/4
because 11/4 is just like saying 11 divided by 4
Answer:
2.75
Step-by-step explanation:
Make a division plane
please help
the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represents the function
Write an equation that represents the function. y =?
Answer:
y = x² - 1Step-by-step explanation:
y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula
If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:
(1, 0): 1² - 1 = 0
(2, 3): 2² - 1 = 4 - 1 = 3
(3, 8): 3² - 1 = 9 - 1 = 8
(4, 15): 4² - 1 = 16 - 1 = 15
So for any x:
(x, y) y = x² - 1
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
I need major help! Please answer
Answer:
The answer is (3,5)
Step-by-step explanation:
Sana Maka tulong
What is the equation for the line shown on this graph?
What is the area of the polygon ?
Answer:
C) 99 in²
Step-by-step explanation:
you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"
area of rectangle: 12 x 4 = 48
area of trapezoid: 1/2(6)(12+5) = 3(17) = 51
total area = 48 + 51
total area = 99 in²
Answer:
C. 99
Step-by-step explanation:
First, we can split it into two rectangles and a right triangle: (see the image below)
The first rectangle has sides of 5, 10, 5, and 10.
The second has sides of 4, 7, 4, and 7.
The third has sides of 7, 6, and √85.
The first rectangle:
Because opposite sides are congruent in a rectangle, we know that the side across of the measure of 5 is also 5. The side across from 10 is also 10.
The second rectangle:
From the side with a measure of 4, draw a line across to meet the side of the first rectangle.
Because opposite sides are congruent, we know the other side is 4.
Because the whole entire bottom is 12, and the bottom of the first rectangle is 5, the side of the second rectangle must be 7.
This makes the other sides also 7.
The right triangle:
Because the lines are all perpendicular (indicated by right angle symbol), this is a right triangle.
We know that one of the sides is 7 (because of opposite sides being congruent in a rectangle). The whole side is the side of the first rectangle, so it's 10. That means that the other side of the right triangle is 6.
With the Pythagorean Theorem, we can find that the hypotenuse is √85.
Area of First Rectangle: A = l h
A = (5) (10)
A = 50
Area of Second Rectangle: A = l h
A = (4) (7)
A = 28
Area of Right Triangle: A = (1/2) (b) (h)
A = (1/2) (7) (6)
A = 21
21 + 28 + 50 = Area
Area = 99
A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect
Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])
Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]
(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].
I want to know about cube and it's properties
Answer:
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex
Step-by-step explanation:
Answer:
cube a geometrical shape which is a three-dimensional figure. It has 6 faces, 12 edges and 8 vertices.
Step-by-step explanation:
GLOSSARY
Faces: The flat surfaces which are squre in shape
Edges: Where 2 surfaces meet (i.e, length of cube)
Vertices: Corners
a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30
4 elephants
20 monkeys
6 zebras
//
z - 2 = elephants
(6) - 2 = 4 elephants
5(e) = monkeys
5(4) = 20 monkeys
20 + 4 + 7 = 30
(B) find the angle which is vertical to 5 and write your result in the empty box.
Answer:
∠2
Step-by-step explanation:
Vertical angles are angles that are opposite to each other. since ∠2 is opposite of ∠5, ∠2 is the answer
Hope this helps :)