Answer:
a) 23x
b) 8n
c) -6y
d) -17w
Explanation:
When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.
a) 9x + 14x = (9+14)x = (23)x = 23x
b) -2n - 10n = (-2+10)n = (8)n = 8n
c) 8y - 14y = (8-14)y = (-6)y = -6y
d) -6w - 11w = (-6-11)w = (-17)w = -17w
Answer:
a: 23x
b: 8n
c: -6y
d: -17w
Step-by-step explanation:
you just add/subtract the numbers then add the variable at the end
Write the next three terms of the geometric sequence.
Answer:
5, 1, 0.2
Step-by-step explanation:
Divide the number by 5 to get the next one.
CAN SOMEONE PLS HELP WITHT HSI ASAP
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Please answer fast, it's important... Q) find the volume of cube whose dimensions are (x+7y), (7x-y) and (xy-5).
Answer:
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
[tex]Volume = (x+7y) * (7x-y) * (xy-5)[/tex]
Evaluate the first 2 brackets
[tex]Volume = [x(7x-y)+7y(7x-y)] * (xy-5)[/tex]
[tex]Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)[/tex]
[tex]Volume = [7x^2-xy+49xy-7y^2] * (xy-5)[/tex]
[tex]Volume = [7x^2+48xy-7y^2] * (xy-5)[/tex]
Open brackets
[tex]Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2][/tex]
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
Half a number plus 2.5 times that number equals 18. What is the number?
Answer:
It's 6.
Step-by-step explanation:
this was so confusing
what is the slope (2,-9) (-2,9)
Answer:
[tex]\bold{m=-\dfrac92=-4.5}[/tex]
Step-by-step explanation:
[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
(2, -9) ⇒ x₁ = 2, y₁ = -9
(-2, 9) ⇒ x₂ = -2, y₂ = 9
So the slope:
[tex]\bold{m=\dfrac{9-(-9)}{-2-2}=\dfrac{18}{-4}=-\dfrac92}[/tex]
Two numbers have a sum of 9 when added together.
The same two numbers have a product of 20 when multiplied together.
Complete the table and write a system of equations to represent the two numbers.
Answer:
5 + 4 = 9 5 × 4 = 20
the numbers are 5 and 4
the answer is 5 and 4
hope this helps!!
so sorry if its wrong!!
Love: Deku~ <3
Help please!!!!!! :(
Answer:
2). 2
3). 5
4). 3
5). 6
Step-by-step explanation:
How many groups of 13 inch are in 34 inch?
Answer:
2 groups
Step-by-step explanation:
13 times 3 is 39
39 is not 34
please mark me brainliest!!!
Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
solve 3(6b-1)-7(2b+3)=0
Answer:
24/13 or 1.8
Step-by-step explanation:
27b -3 - 14b -21 = 0
13b - 24 = 0
13b = 24
b = 24/13 or 1.8
Answer:
B = 6
Step-by-step explanation
1. (Do the parentheses) 3(6b-1)-7(2b+3) = 18b-3-14b-21
2. (Simplify) 18b-3-14b-21 = 4b-24
3. (Add 24 to both sides) 4b-24+24=0+24
4. (Simplify) 4b = 24
5. (Divide by 4) b = 6
Write a unit rate for the situation.
102 beats per 2 minutes
:beats per minute
Answer:51
Step-by-step explanation:102 beats : 2 min
?beats :1 min
Do 102 times 1 which gives you 102 .Then divide by 2 and you get 51.
Hope it helps. :)
102 beats per 2 minutes then 51 beats per minute.
What is Division?A division is a process of splitting a specific amount into equal parts.
It is given that,
102 beats per 2 minutes
We need to calculate how many beats per minute.
To do this we just have to divide One hundred two by two
102/2
Fifty one beats.
51 beats per minute
Hence 51 beats per minute.
To learn more on Division click:
https://brainly.com/question/21416852
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The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
Which of the following tables represents a proportional relationship?
Answer:
C
Step-by-step explanation:
A is incorrect because as x goes from 0 to 1, y jumped from 0 to 4
B is incorrect because as x goes up by 2, y at first goes up by 2 but then jumped to 4.
C is correct because as x goes up by 1, y goes up by 3
D is incorrect because y jumped from 0 to 10 and first but lowered to 5 after.
Select the FALSE statement
A) Dilations either increase or decrease the lengths of line segments.
B) Dilations increase angle measures.
C) A dilated triangle is similar to the original triangle.
D) Dilations are a type of transformation
9514 1404 393
Answer:
B) Dilations increase angle measures.
Step-by-step explanation:
Dilations have no effect on angle measures, but they uniformly change the size and spacing of line segments. They are a non-rigid transformation that leaves geometric figures similar to the original.
The false statement is B.
What is the answer of the question
Answer:
n - 8 = 20
Step-by-step explanation:
Evaluate the expressions
1)4x+12-3x+8
2)-8x+1+2x-1+6x
3)4x-3-2x-5
4)100x5-5x+5
5)-4x-4-2-5x
6)2x-1+2x-4+y
7)5y-x+2y-y+5
8)-15+3y-3x-2y+4x
9)4-3y+3x-2x-y
1. x + 20
2. 0
3. 2x - 8
4. 95x + 10
5. -9x - 6
6. 4x + y - 5
7. -x + 6y + 5
8. x + y - 15
9. x + 4y + 4
Step-by-step explanation:• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.
• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.
• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
• When we are not given a number for the variable in the expression, we have to group like-terms.
Example: 5x + 6 + 3x - 2 - y1st: group 5x and 3x (add the terms together) = 8x2nd: group 6 and -2 (add the terms together) = 43rd: Since -y has no like-terms, we can't group it = -yFourth, put the terms in order (variables = alphabetical order and then numbers) = 8x - y + 41. 4x + 12 - 3x + 8
4x - 3x = 1x = x12 + 8 = 20x + 202. -8x + 1 + 2x - 1 + 6x
-8x + 2x + 6x = -8x + 8x = 01 - 1 = 003. 4x - 3 - 2x - 5
4x - 2x = 2x-3 - 5 = -82x - 84. 100x + 5 - 5x + 5
100x - 5x = 95x5 + 5 = 1095x + 105. -4x - 4 - 2 - 5x
-4x - 5x = -9x-4 - 2 = -6-9x - 66. 2x - 1 + 2x - 4 + y
2x + 2x = 4x-1 - 4 = -54x + y - 57. 5y - x + 2y - y + 5
5y + 2y - y = 5y + 1y = 6y-x + 6y + 58. -15 + 3y - 3x - 2y + 4x
3y - 2y = 1y = y-3x + 4x = 1x = xx + y - 159. 4 - 3y + 3x - 2x - y
-3y - y = 4y3x - 2x = 1x = xx + 4y + 4Hope I helped you, if I did can you please mark me the Brainliest?
If x3 = 216, what is the value of x?
a. 6
b. 4
c. 9
d. 3
the answer is six
I'm sure
-4(2m + 2n) + 2(3m-2n)
Answer:
-2m -12n
Step-by-step explanation:
-8m -8n +6m-4n
Step-by-step explanation:
= -8m-8n+6m-4n
= -8m+6m-8n-4n
= -2m-12n
hope it helps.
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: Step-by-step explanation:
1. D, last one.
4. C, third one.
2. C, third one.
3. B, second one.
Answer:
c
Step-by-step explanation:
just look at it agai djehbrme and I don't know how many to ft going in take be from my b to I what order of the red sexlink for the you program to and next level of the red sexlink chickens and of barred rock chickens and of the axis that have to go through a lot of different ways of life and I have emailed my parents and they got me in the goat of a job that was a great fit and was very helpful and was very good for me and I am very thankful to be able and am not seen in a way with my life in my mind and my heart that ❤ my heart ❤ ♥ is the axis thatI need some help with geometry?
trayvon bought 2 gallons of milk at the supermarket how many quarts of milk did he buy
Answer: He bought 8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,
Answer:
8 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts, so from there you just multiply 2 times 4 and you get 8 !
Please help :( im struggling
Answer:
a= 9/4
Step-by-step explanation:
2m^(5/2)/m^(1/4)
2m^(5/2 -1/4)
2m^(9/4)
Hope you find this helpful <3
Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME
Answer:
3x2y(3x2−2xy+y2) So C
Step-by-step explanation:
Select the function that's represented in the graph.
options:
A)
ƒ(x) = (x + 3)2 – 5
B)
ƒ(x) = 3(x + 3)2 – 5
C)
ƒ(x) = (x – 3)2 – 5
D)
ƒ(x) = 3(x – 3)2 – 5
Answer:
the answer is c
Step-by-step explanation:
because it mets up
Which congruence theorems can be used to prove AABR = AACR? Select three options.
A. HL
B. AS
C. SSS
D. ASA
E. AAS
Answer:
HL, SAS, ans SSS
Step-by-step explanation:
ASA and AAS cannot be used because we can only confirm one angle of each triangle.
Congruent shapes have equal corresponding sides and angles.
The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS
[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.
From the attached figure, we have the following congruent sides and angle:
AB and AC --- SideBR and CR --- SideAR and AR --- Side (Hypotenuse Leg)Angle C and Angle B --- angleThe above highlights mean that the following theorems can be used to prove that the triangles are congruent:
HL, SAS, and SSS
Read more about congruent triangles at:
https://brainly.com/question/11329400
2.8151 rounded to the nearest thousandth
Answer:
2.815
Step-by-step explanation:
2.8151 rounds DOWN due to the 1 being under 5.
if the last digit is 5 or above, it rounds UP.
Which table does NOT show a proportional relationship?
1 point
A
B
C
D
i need help with A 4ᵗʰ grade class divided into seven groups for a game. Each group has the same number of students. What could be the total number of students in the class? so can you help
Answer:
14, 21, or 28 would be the only answers I can think of
Step-by-step explanation:
7 teams of 2, 3, or 4 gives the answers
I need help with this problem
how to calculate directly propotonal
Answer: Direct Proportion
In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation. Example: y is directly proportional to x, when x = 15, y = 30.