The given expressions and their equivalent expressions are:
x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - yWhat are Equivalent Expressions?Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.
Let's evaluate and simplify each of the given expressions:
x − 4x + 6y + (14x − 5y)
Open bracket
x - 4x + 6y + 14x - 5y
Combine like terms
11x + y
Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y
3x + 3y + 2(2x − y)
Open bracket
3x + 3y + 4x - 2y
Combine like terms
7x + y
Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.
(5x − 3y) − x + 3x − 5y
5x - 3y - x + 3x - 5y
7x - 8y
Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.
4(x + y) − 3(x + y)
4x + 4y - 3x - 3y
x + y
Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.
5(x + y) + 6(x − y)
5x + 5y + 6x - 6y
11x - y
Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.
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Answer:
CORRECT
Step-by-step explanation:
Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
Answer:
D. 4 centimeters, 6 centimeters, 9 centimeters
Step-by-step explanation:
Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:
[tex]a+b>c\\a+c>b\\b+c>a[/tex]
By checking each of them only D satisfy:
[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]
For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:
[tex]4+6>9[/tex]
find the length of the missing side
Answer:
Choice D
Step-by-step explanation:
what’s four times a number (algebra wise)
Answer:
4x
Step-by-step explanation:
Can someone please help
Answer:
(x+5) and (x-7).
Step-by-step explanation:
The given equation is :
[tex]x^2-2x-35[/tex]
We need to write it in factored form.
We have to find two number such that their sum is 2 and product is 35.
We know that,
7×5 = 35 and 7+(-5) = 2
So,
[tex]x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)[/tex]
Hence, the required factors are (x+5) and (x-7).
i need the answer asap
Step-by-step explanation:
A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5
now , let AB be 4x and AC be 5x such that
AC = AB + BC
AC - AB = BC
5x - 4x = BC
x = BC
ratio of AB : BC = 4:1
by using section formula
( mx2 + nx1 / m+n , my2 + ny1 / m+n )
where m = 4 and n = 1
B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )
B = ( 8 -3 / 5. ,. -24 + 4 / 5)
B = ( 5/5. ,. -20/5 )
B = ( 1. , -4 )
you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.
The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You can perform 10 push-ups in 25 seconds.
Then the equation represents the relationship between time x and the number of pushups y will be
The number of push-ups will be zero for zero seconds.
Then we have
y - 0 = [10/25] (x - 0)
y = 0.4x
More about the linear system link is given below.
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In AGHI, the measure of ZI=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of
ZG to the nearest tenth of a degree.
Answer: 8.3
Step-by-step explanation:
Que es una ecuación cuadrática
Step-by-step explanation:
En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.
Put the equation into this form
Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
How many terms are in the expression
3x + 2y + Z
4
2
3
5
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3
1. 3x
2. 2y
3. Z
can you all please help me with a and b
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
Which ordered pair is a solution of the equation: y = x + 3 a) (-2,5) b) (3,0) c) (8, 11)
Answer:
C) (8, 11)
Step-by-step explanation:
8+3=11.
what is the solution to the equation sqrt 2x+3- sqrt x+2=2
Answer:
x= 23
Step-by-step explanation:
The correct answer on edge is 23
There are 5,000 books in the town's library. Of these,4,400 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent. Setup the percent equation. Choose the correct answer below. A. m B. m C. m Your answer is not correct.D. m This is the correct answer. nothing% of the books are fiction
Answer:
4,400=m•5,000 and 88%
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
What is 62 1/2% of 10?
Answer:
6.25%
Step-by-step explanation:
10 x .625 = 6.25 this is the answer
if x+y=5, then what does y-5 equal?
Answer:
-x
Step-by-step explanation:
rearrange the terms by adding or subtracting the same thing from both sides:
[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]
Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
Answer:
57.5
Step-by-step explanation:
Recognize our numbers
3,5,34.50
Three uniform shirts sell for 34.50
34.50/3
=11.5
How much will five cost?
5x11.5
=57.5
Hope this helps!
Answer:
55.25
Step-by-step explanation:
1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.
34.50 / 3 = 11.05
2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.
11.05 * 5 = 55.25
= $55.25p
factorise 6n-10
how do you do it?
Answer:
Step-by-step explanation:
given
6n - 10
Take 2 as common then
2 ( 3n - 5 )
hope it helps :)
Answer:
2(3n-5)
Step-by-step explanation:
You need to find the highest common factor (2 in this case).
When the word factorise is mentioned that means there has to be brackets in your answer.
After the highest common factor is found then divide the numbers by it. for example, 6÷2 and -10÷2.
Hope that helps!!
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
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2ײ+5y-18 if x is 5 and y is 2
the answer is 659 because if x = 5 that means 25x25 = 625
and if y = 2 then 625 + 52 = 677
and then 677-18 = 659
Problem solved
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
which set of number are right for this inequality x<14 plz help me i need help due in 20 min
A. 3,7,9,10,12
B. 15, 18 ,20, 21, 23
C. 17, 21, 24, 25, 31
D. 23, 27, 29, 30, 36
Answer:
it's A because all of those numbers are less than 14
Step-by-step explanation:
if Rohans weight is t+6 kg and is 7 kg less than Rahul whose weight is 54 kg. What is the value of t
Answer:
T = 41
Step-by-step explanation:
Rohan's weight = t+6
Rahul's Weight = t+6+7 = 54
t = 54 - 6 - 7
t = 41
Today is the birthday of Rahul and he is 3 times
as old as Nirmala. In 13 years, Rahul will be one
year less than twice as old as Nirmala will be
then. The age of Rahul today is:
a. 30 years
c. 49 years
b. 36 years
d. 30 years
Answer:
b. 36 years
Step-by-step explanation:
Today
Nirmala = x years
Rahul = 3x years
In 13 years
Nirmala = 3x + 13 years
Rahul = 2(x+13) - 1
3x + 13 = 2(x+13) - 1
3x + 13 = 2x + 26 - 1
3x + 13 = 2x + 25
3x - 2x = 25 - 13
x = 12
Nirmala = x years
= 12 years
Rahul = 3x years
= 3(12)
= 36 years
The age of Rahul today is 36 years
Find the circumference of the circle below. Use 3.14 pi. Round your answer to the nearest tenth.
12.1
12.6
25.1
50.2
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
Step-by-step explanation:
radius = 4 inches π = 3.14circumference = 2π × radius = 2 × 3.14 × 4 = 25.1 inches _________________________FOLLOW MEAnswer:25.1
Step-by-step explanation:
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answer:
b
Step-by-step explanation:
Find the slope.
Bonus: Write the equation of the line.
Answer:
1 so y=1+b
Step-by-step explanation:
9514 1404 393
Answer:
slope: -1equation: y = -x +3Step-by-step explanation:
The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.
Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
__
The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...
y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)
y = -x +3
Which expression is equal to 6/7?
Choose 1 answer:
(Choice A) 6+7
(Choice B) 6×7
(Choice C) 6÷7
(Choice D) 6-7
Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)
Step-by-step explanation:
Please refer to the attachment