Answers
For reason 3, look at how we got from step 2 to step 3.
In this case, we combined like terms or simplifies the left side.
So the reason for statement 3 is simplifying.
For statement 4, we look at how we got from step 3 to step 4.
Notice that we subtracted the same quantity, -12x, from both sides of the
equation and this is the subtraction property of equality.
For statement 5, we look at how we got from step 4 to step 5.
Here, we added the same quantity to both sides
and this is called the addition property of equality.
Finally, we use the division property of equality,
to get the final solution to the equation, x = 2/3.
Related Questions
bobby's cat runs x mph. bobby's dog runs twice as fast as his cat. if the cat and the dog start running away from each other, how far away from each other will they be after 30 minutes
Answers
Answer:
They will be 0.5x miles away from each other.
Calculation of the distance:
Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Step-by-step explanation:
Answer:
1.5x miles, because you already know that the cat's speed is 0.5x miles, and the dog is x miles, so when you add it together, you get 1.5x miles
Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 5x + 10
O A. (x2 + 5)(x+5)
O B. (x2 + 5)(x+2)
O C. (x2 + 5)(x+5)
O D. (x2 + 5)(x+2)
Answers
Answer:
(x²+5)(x+2)
simple find the common factor between x³ and 2x² and the cf of 5x and 10
u will end up with these results then^
Convert 12/25 to percent
Answers
Answer:
48%
Step-by-step explanation: multiply 4 with the numerator and denominator
todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is adding 7 cds a month to her collection when will they have the same number of cds and how many will they have
Answers
Answer:
Step-by-step explanation:
Let's create some equations first.
Say M = number of months, T = Todd and S = Sally.
We know that Todd starts with 8 cds and sally starts with 18 cds.
This means when M= 0, T = 8 and S = 18
After one month (M = 1), Todd adds 9 cds.
This means can write the following equation:
T = 8 + 9M
So after the first month (where M = 1), we can find out that Todd has
T = 8 + 9 x 1 = 8 + 9 = 17 cds
For Sally, we know she adds 7 cds per month.
S = 18 + 7M
After one month (M = 1),
S = 18 + 7 x 1 = 25 cds.
Now we are trying to find when they will have the same number of cds and how many.
This means we are trying to figure out what M = ? when Todd and Sally are equal.
So we want to find when T = S
Remember, earlier we wrote :
T = 8 + 9M
S = 18 + 7M
If T = S, this means:
8 + 9M = 18 + 7M
Gather the like terms and solve for M.
Subtract 8 from both sides.
9M = 10 + 7M
Subtract 7M from both sides
2M = 10
Divide both sides by 2
M = 5.
So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).
Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.
T = 8 + 9M
T = 8 + 9 x 5
T = 53
Therefore, after 5 months Todd and Sally will have 53 cds each :)
A relation contains the points {(1, -4), (3, 2), (4, -3), (x, 7), (-4, 6)}.For which values of x will the relation be a function? Select ALL that apply.
A . -4
B. -3
C. 0
D. 3
E. 4
Answers
Answer:
th e answer is E. 4
Step-by-step explanation:
Write 2016 in standard form.
Answers
Answer:
2.016 x 10^3
Standard form must have a single digit number x10 to the power of a number.
Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices m∠C = 56 From smallest to largest: ∠B, ∠C, ∠A m∠A = 99 x = 49 (4x + 16) = 180
Answers
Answer:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
Step-by-step explanation:
Given
[tex]A = 2x + 1[/tex]
[tex]B = x[/tex]
[tex]C = x + 15[/tex]
Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:
[tex]A + B + C = 180[/tex]
Substitute values for A, B and C
[tex]2x + 1+ x + x + 15 = 180[/tex]
Collect Like Terms
[tex]2x + x + x = 180 - 15 -1[/tex]
[tex]4x = 164[/tex]
Solve for x
[tex]x= 164/4[/tex]
[tex]x= 41[/tex]
Solve for A, B and C
[tex]A = 2x + 1[/tex]
[tex]A = 2 * 41 + 1[/tex]
[tex]A = 82 + 1[/tex]
[tex]A = 83[/tex]
[tex]B = x[/tex]
[tex]B= 41[/tex]
[tex]C = x + 15[/tex]
[tex]C = 41 + 15[/tex]
[tex]C = 56[/tex]
From Smallest to Largest, we have:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
If you claim a dependent and have to pay for child
care while you're at work, you can claim a tax credit of
$780. If you owed $5,638 in federal income taxes, how
much do you owe after claiming that credit?
Answers
Answer:
4858
Step-by-step explanation:
5,638-780=4,858
please answer and show work asap !! due in 30 mins !!
Answers
Answeri got u my boy
Step-by-step explanation:
it is
implifying
4x + 6y + -3 = 0
Reorder the terms:
-3 + 4x + 6y = 0
Solving
-3 + 4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 4x + 3 + 6y = 0 + 3
Reorder the terms:
-3 + 3 + 4x + 6y = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x + 6y = 0 + 3
4x + 6y = 0 + 3
Combine like terms: 0 + 3 = 3
4x + 6y = 3
Add '-6y' to each side of the equation.
4x + 6y + -6y = 3 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 3 + -6y
4x = 3 + -6y
Divide each side by '4'.
x = 0.75 + -1.5y
Simplifying
x = 0.75 + -1.5y
PLZ HELP....!
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 35 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 85 degrees. What is the measure of angle x?
A) 50 degrees
B) 55 degrees
C) 85 degrees
D) 125 degrees
Answers
Answer:
the answer is a)50 degree
Step-by-step explanation:
as alternate angle so
x+35=85
so x=85-35
x=50 degree
thanks
Answer:
50
Step-by-step explanation:
ʕ•ᴥ•ʔ hope this helps
ConnectMe phone service charges Deva $29.95 per month for cellular data. Endless Data phone company is offering the same service for 20% less. How much will Deva save per month if she switches to Endless Data?
Answers
Answer:
5.99
Step-by-step explanation:
Jasmin is getting a new phone. It is $50 to activate and $15 monthly to keep on.
Please represent this word problem in all other ways. Explain if this is linear or not. Why or why not( HELP!!)
Answers
Answer:
y=15x+50
Step-by-step explanation:
yes this is linear because you are paying 15 dollars every month, with 50 dollars too
Which expression is equivalent to 3^0x3
Answers
Hey there!
3^0 * 3
= 1 * 3
= 1 + 1 + 1
= 2 + 1
= 3
Therefore, your answer is: 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the missing side lengths. Leave your answers as radicals in simpler form. Please explain it
Answers
Answer:
Step-by-step explanation:
please help me!!
solve each of the equations below for the given variable
a.
[tex] \frac{ 2n - 1}{19} = \frac{m}{10} [/tex]
b.
[tex] \sqrt{x + 2 = 5} [/tex]
Answers
Step-by-step explanation:
b.
[tex]( \sqrt{x + 2} ) { }^{2} =( 5) { }^{2} \\ \\x + 2 = 25 \\ x = 25 - 2 \\ x = 23 [/tex]
Math homework someone help and how are you guys? :)
Find an equivalent ratio in simplest terms: 18:21 ?
Answers
6/7
Step-by-step explanation:Hi there !
18 : 21 = 18⁽³/21 = 6/7
Good luck !
Need help with geometric series'!
Please include a step by step explanation.
Answers
Answer:
[tex] - 13107[/tex]
Step-by-step explanation:
We would like to evaluate the following Geometric Series ,
[tex]\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }[/tex]
In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .
As we know that ,
[tex]\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) [/tex]
So , we can write the series as ,
[tex]\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} [/tex]
Simplify,
[tex]\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 [/tex]
We can find the common ratio by dividing and successive term by its preceding term , as ;
[tex]\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 [/tex]
Again , here ;
First term = a = [tex](-4)^0=1[/tex]Common ratio = [tex]-4[/tex]number of terms (n) = 8And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .
[tex]\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] [/tex]
where the symbols have their usual meaning.On substituting the respective values, we have;
[tex]\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ [/tex]
Simplify ,
[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\[/tex]
[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} [/tex]
Simplify by dividing ,
[tex]\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} [/tex]
And we are done !
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units left.
help please
Answers
Answer:
translated down 7 units
Step-by-step explanation:
whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right
Gm!!! everyone (who see's this)
Answers
Answer:
GOODMORNING!!!
Step-by-step explanation:
I pray you, have a wonderful day!!
The volume of a cone is 1967 cubic feet. Its
radius is 7 feet. Find the height.
Answers
Answer:
38.33 feet.
Step-by-step explanation:
Answer: 38.33ft
Explanation: I looked it up :)
What is the slope for the equation of the line passing through the points (20,-32) and (10, -15)?
Answers
Answer:
-17/10
Step-by-step Explanation :
Find the product of (4c-5)(7x^2m- 3x + 3)
Answers
Answer:
28cx2m−12cx+12c−35x2m+15x−15
Step-by-step explanation:
Which statement below best applies to the following expression?
Answers
Answer:
A.
Step-by-step explanation:
Radical expressions can only be simplified if their radicands are identical.
Which of these numbers is irrational?
O A. v3
OB. 0.25
O C. 1
O D. V9
Answers
Answer:
A
Step-by-step explanation:
the square root of 3 is an irrational number.
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches
Answers
The width of each ring in the redwood trees of coastal California is 0.06 inches.
How to estimate the width of a ring in a tree
According to the statement, we know that age of a tree and base diameter are directly proportional to the number of rings. The width of the ring is estimated by dividing the radius of the tree base by the age of the tree:
[tex]w = \frac{10\,ft \times 12\,\frac{in}{ft} }{2000}[/tex]
[tex]w = 0.06\,in[/tex]
The width of each ring in the redwood trees of coastal California is 0.06 inches. [tex]\blacksquare[/tex]
Remark
The statement in incomplete, correct form is shown below:
Each year of its life, a tree grows a new ring just under the outside bark. The new ring consists of two parts, light-colored springwood, when the tree grows the fastest, and a darker-colored summerwood, when growth slows. When conditions are good and there is lots of sun and rain, the new ring is thicker than the rings formed when there is drought or excessive cold. At the center of the tree is a dark circle called pith that is not connected to the age of the tree.
The redwood trees of coastal California are the tallest living things on earth. On redwood is 350 feet tall, 20 feet in diameter at its base, and around 2000 years old. Assume that the lower 50 feet of the tree form of the tree form a cylinder 20 feet in diameter and that all of the rings grew at the same rate.
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches.
To learn more on trees, we kindly invite to check this verified question: https://brainly.com/question/13604529
In a high school of 1000 students, 355 are playing sports and 233 are in a school band. If there are 175 students playing sports and are in a school band, how many are in neither activity?
Answers
Answer:
237
Step-by-step explanation:
1000 minus 355= 645
645 minus 233= 412
412 minus 175= 237
Answer:
237 students
Step-by-step explanation:
355 are playing sports
233 are in a school band.
175 in both
355 + 233 + 175 = 763
763 students are in sports, band or both
1000 - 763 = 237
237 students aren't participating in neither.
hope this helps :)
Please answer :) much appreciated
Answers
m=12
He received $12
Line t passes through points (9, 10) and (3, 3). Line u is parallel to line t. What is the slope of
line u?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Step-by-step explanation:
a parallel line has the same slope. that is the actual meaning of "parallel".
so we need to find the slope of line t to get our answer.
remember, the slope is the ratio " y coordinate change / x coordinate change" when going from one point on the line to another.
so, here we have 2 points (9, 10) and (3, 3).
going from the first to the second we see
x changes by -6 (from 9 to 3).
y changes by -7 (from 10 to 3).
the slope is then -7/-6 = 7/6.
and therefore, the slope of u is also 7/6.
what is the constant of posprtainality in the equation y=0.41
Answers
Answer:
The constant of proportionality in the equation y=0.41 is 0.41
Step-by-step explanation:
a=-13y solve for y
This is all the question says so idk