Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
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simplify an expression for the perimeter of the rectangle
The expression for the Perimeter of rectangle is 16w-4.
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length = 5w-2
width = 3w
Perimeter of the rectangle = 2(length+width)
Perimeter = 3w+3w+(5w-2)+(5w-2)
= 6w+10w-4
= 16w-4
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Which description best describes the three-dimensional object
that is formed when the shape is rotated about the axis as
shown?
Answer:
cylinder
Step-by-step explanation:
a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.
Answer: A Hollow Cylinder
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
The first one is true, also the second one. Third one as well and the forth also. They all are solutions of the equations. Weird but true.
Answer:
1) x= -6 isn't the correct solution.
2) x=15 is the correct solution.
3) x= -1 isn't the correct solution.
4) x= -4/5 is the correct solution.
Step-by-step explanation:
1) 2x=9+3
2x=12
x=6
2) x=17-2
x=15
3) (multiply both members per 12)
3x-4x=-1
-x=-1
x=1
4) -3x-15=2x-11
-3x-2x=15-11
-5x=4
x= -4/5
Is x=−10 a solution to the equation 28x+17=157?
Answer:
no
Step-by-step explanation:
28x+17=157 Subtract 17 on both sides.
-17 -17
28x=140
x=5
5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.
Hope this helps!! Have a great day :)
Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4
−
5
x
3
−
10
x
2
+
2
x
, and why?
Answer:
It is the first answer choice.
Step-by-step explanation.
Use synthetic division and there is no remainder, so -1 is a factor
The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?
4:3
8:6
12:9
16:12
20:15
24:18
28:21
HELLPPPP MEEEEE ASAPPPPPPP PLEASEEEEEEEEEEEEWEEEEEEEE
Answer:SORRY CANT HELP U THERE
Step-by-step explanation:
Given f(x) = 3x+5x and g(x) = sqrt x+ 4
find f(g(12))
Answer:
Below in bold.
Step-by-step explanation:
g(12) = √12 + 4
so f(g(12))
= 3(√12 + 4) + 5(√12 + 4)
= 8(√12 + 4)
= 59.71 to nearest hundredth.
During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .
The price of the bed after the markup is $527.80.
The given parameters:
Discount = 30%Price of the bed, = $580Markup = 30%The price of the bed after the discount of 30% is calculated as follows;
P = $580 - 0.3($580)
P = $406
The price of the bed after the markup is calculated as follows;
P = $406 + 0.3(406)
P = $527.8
Thus, the price of the bed after the markup is $527.80.
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Solve if x is equal to 4. y = 2x
Given this graph of the function f(x) a) b) c) d) please a need help
Answer:
a) 2
b) -2
c) -2
d) 1/2
Step-by-step explanation:
1) f(-4) means that x=-4 and you must locate the y value on the graph
2) f(2) means that x=2 and you must locate the y value on the graph
3) f(x)=4 means that y=4 and you must locate the x value on the graph
4) f(x)=-1 means that y=-1 and you must locate the x value on the graph
After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?
Answer:
see explanation
Step-by-step explanation:
Mabel has (x + 6) pears , then Nelson has
[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
After Donovan gives Mabel 6 pears, she has (x + 6) pears.
If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,
⇒ (x + 6) / 3
Simplify the equation, then we have
⇒ (x + 6) / 3
⇒ x / 3 + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
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What does 33y mean if y is 18?
Answer:
it means you replace y with 18 so
33(18)
so 33*18=594
Hope This Helps!!!
Answer:
594
Step-by-step explanation:
33y
33(18)
33 x 18 = 594
helllp meeeeeeeeeeeeeeee
I don’t quite understand how to solve question 1-A.
Answer:
for every 1000 people, the maximum noise level goes up by 1.5
A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x
The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]
A linear function is represents as: y = mx + c, where:
m represents the slope or rate c represents the y-interceptIn this case, we have:
[tex]m = -2[/tex][tex]c = 10[/tex]So, the equation becomes
[tex]y =-2x +10[/tex]
Hence, the equation of the function is [tex]y =-2x +10[/tex]
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y=-2x-3
y=2x-1
y=x+4
y=-x+ 2
y=-2x-3
y=x+4
y=2x-1
y=-x+ 2.
W X Y Z
match each point if intersection with system of equations whose
Solution at the point
Helppp pleaseeee !!!
Answer:
Solution is (x+7)(x+8)
Step-by-step explanation:
1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)
2) (x+7)(x+8)
I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.
3. Avery noticed that of the apples in a basket are red. There are 45 red apples in the basket.
(a) Represent the situation with an equation. Use a for the variable.
(b) Solve the equation in Part (a). Show your work.
(c) What does the solution of the equation represent in the situation?
Answer:
Step-by-step explanation:
Something missing in "noticed that of the apples." Perhaps "that 40% of . . .?"
But I'll try to answer, using an example:
Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.
To find the total number of apples, X:
(0.30)X = 45
X = 150 apples total. 45, or 45/150, is 0.3 0r 30%.
WILL GIVE YOU 50 POINT
Find M AFE.
Answer:
The answer is C
Step-by-step explanation:
25 + 57 + 34 = 116, so at least 116, not 116.
The angle is close to 90+45 = 135
assuming with this, the asnwer is C
Answer:
B. 173
Step-by-step explanation:
just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answer: 5 kilometers.
Step-by-step explanation:
I NEED ANSWER NOW ASAP PLEASE ITS DUE IN 2 MINS!!!!!
Answer: 2 pairs of parallel sides!
Step-by-step explanation:
Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c
Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.
How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns
Answer:
b
Step-by-step explanation:
Andre Roberts scored a total of 34 touchdowns
An equation is an expression that shows the relationship between two or more variables and numbers.
The total touchdowns is 80.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32
Let x represent the number of touchdowns scored by Andre Roberts, hence:
x + 14 + 32 = 80
x + 46 = 80
x = 34
Andre Roberts scored a total of 34 touchdowns
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For every 20 emails that Greg sent in a month, he received 50 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Greg that month?
A. 5:2
B. 3:5
C. 2:5
D. 5:3
Answer:
C. 2:5
Step-by-step explanation:
You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5
Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
Plz help with this question
Answer:
a) 72cm²
b) 9 cm²
c) 9 cm²
d) 54 cm²
Step-by-step explanation:
a) The area A of a rectangle is given by the formula, A=lw
12 * 6 = 72cm²
b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.
(12 - 3) * 6 = 54 cm²
b) the difference between three and x
Math
Answer:
3 - x
Step-by-step explanation:
In math, "the difference between A and B" usually means ...
A - B
In English, it often means ...
|A - B| . . . . the positive difference
__
"The difference between 3 and x" can be written as the expression ...
3 - x
Plz, help!!! I'll give brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
0.5 ft = 12 × 0.5 = 6 inches 1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inchesSurface are of cuboid is : -
[tex] \sf2(lb + bh + lh)[/tex][tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex][tex] \sf2[24 + 108 + 72][/tex][tex] \sf2(204)[/tex][tex] \sf408 \: \: inches {}^{2} [/tex]AMIGOS AND AMIGAS PLS HELP MY POOR BRAIN ILY FAM:
1) 8+ 9p = 9p - 7
2) 2(3x + 6) = 3(2x - 6)
1. 9p - 9p = -8 - 7
0 = - 15
2. 6x + 12 = 6x - 18
6x - 6x = - 18 - 12
0 = - 30
That's what I got