Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.
Answers
Answer:
x = 1/5 - first box
Step-by-step explanation:
Let's interpret this by using what I call the "isolated-x method."
First, we can simplify whatever's being affected in the parentheses.
#1: 3 times (2x) is equal to 6x
#2: 3 times (- 1 | equal to -1) results in -3, or + -3
So now we're working with 6x - 3 = -9x.
Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.
Now we're working with 15x (6x + our new 9x) - 3 = 0
Since we have "whole like terms" we can now easily add 3 to each side.
Now we're working with 15x = 3 (0 + our new 3)
We can finish by dividing each side by 3.
15x = 3 now turns into 5x = 1.
To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.
Therefore, x = 1/5
Hopefully this helped a bunch! Tell me if you need any further assistance...
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Related Questions
geomtry plz help 15 points
Answers
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.
Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.
46+46+x=180
x = the measure of angle A
92+x=180
92-92+x=180-92
x=88
Therefore, the measure of angle A is 88°.
A snack food company produced 58,115 ounces of bite-size cookies. The company will put the cookies into 9-ounce bags. About how many bags will the company be able to fill? Choose the better estimate.
A.10,000
B.6,000
Answers
Answer:
The answer is B. about 6,000
Step-by-step explanation:
58,115/9=6,457
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third:
If a = b and b = c, then a = c
Answers
Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."
Step-by-step explanation: I think this is the problem ur on
The given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.
What is an equation and an expression?An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -
2x = 5
An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -
3x + 5y + 3
We have -
If a = b and b = c, then a = c.
The given relation holds true for all real numbers. This law is called transitive law. So, if A=5 for example, then B and C must both also be 5 by the transitive property
Therefore, the given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.
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Need help from mathematics only ?
Answers
9514 1404 393
Answer:
8. 50 yards
9. 9%
Step-by-step explanation:
In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.
8)The missing formula is ...
A = LW . . . . where A is area, L is length, W is width
6000 yd² = (120 yd)W
W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field
__
9)The missing formula is ...
I = Prt . . . . where I is the interest on principal P at rate r for t years
1800 = 5000(r)(4)
r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment
slope of thissss
please help
Answers
-0.66
Step-by-step explanation:
can u mark me a brainliest
John buys a computer on sale for $450.00. He
pays $50.00 less than have the original price. How
much was the original price of the computer?
Write and solve an equation
Answers
Answer:
$450+$50= X
X=$500
Step-by-step explanation:
The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.
Here we have to add.
450+50=500
(add the dollar sign)
$450+$50=X
X=$500
The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?
Answers
[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]
Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.
Answers
Answer:
B. y=6-1/3t
Step-by-step explanation:
If you graph this equation, it matches the given graph. Hope this helps :)
Use the given transformation to evaluate the integral
∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).
Answers
Answer:
Step-by-step explanation:
I hate you
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
Answers
9.1
Explanation:
Use the distance formula
d=sqrt[(x2-x1)^2 + (y2-y1)^2]
d=sqrt[(3-12)^2 + (4-5)^2]
d=sqrt[(-9)^2 + (-1)^2]
d=sqrt[81 + 1]
d=sqrt[82]
d=9.055≈9.1
Where (x1, y1) is (12,5) and (x2, y2) is (3, 4)
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
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What are the x - intercepts of the graphed function
Answers
Answer: second one is the correct answer
Step-by-step explanation:
4 examples of one step equation
Answers
Answer:
Step-by-step explanation:
x + 14 = 20
4 = x²
x/4 = 50
x - 7 = 1
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answers
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
x-10/3=5x+2/2 I need help with he next step please
Answers
Answer:
x2 the left side and x3 the right side of the equation
Answer:
X = -2
First you cross multiply, and then you expand to get 15x+6
after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.
A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50
TV
52
68
(a) What percentage of the adults are women?
(b) What percentage of the adults prefer TV?
Answers
Answer:
41% of adults are women.
60% of adults prefer TV.
Step-by-step explanation:
Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.
TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.
The percentage of the adults prefer TV is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.
Here,
Newspapers TV
Women 30 52
Men 50 68
Number of women =30+52
= 82
a) Percentage of the adults are women
= 82/200 ×100
= 41%
b) Percentage of the adults prefer TV
Number of adults watch TV = 52+68
= 120
Here, 120/200 ×100
= 60%
Therefore, the percentage of the adults prefer TV is 60%.
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Please help! Answer if correctly only.
Answers
Answer:
f(X)= 4 and g(X)= 49 are the answers!
Answer:
f(6) = -8
g(-3) = 49
Step-by-step explanation:
So when observing a function we have to remember that the desired input value is correspondent to the function. So when looking at the first function of:
f(x) = -2x+4
we can see that we are trying to find f(6) meaning all of the values of x are 6 in the equation. When plugging in the value of x into the equation then we have:
f(6) = -2(6)+4
the next step would be to simplify. -2*6 = -12 and -12+4=-8 and thus:
f(6) = -8
Now the steps are the same with g(-3) except with the other function:
g(x) = -2x^3-5
g(-3) = -2(-3)^3-5
g(-3) = 49
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answers
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
PLS HELP ASAP IM TAKING AN RXAM!!! 40 POINTS!!!!!!
Using data from the Internet, we've compiled a list of Presidents of the United States through 2012 to show party affiliations and ages during office. You completed a frequency table and bar graph using this data. The bar graph is shown below. Describe what you can say about this bar graph given the data and the graph.
Answers
The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.
What is a bar graph?A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents
it's class width or an interval.
The height given bar graph represents no. of years each president lasted
and the width of the bar graph represents the Presidents of the United States.
R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.
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What is the position of B on the number line below?
Write your answer as a fraction or mixed number
Answers
Step-by-step explanation:
B = 1 4/5
because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.
and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.
and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.
therefore, we have 9×1/5 = 9/5.
Help please please need quick
Answers
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal
list all the prime numbers between 90 and 100
Answers
Im pretty sure the only prime number in between 90 and 100 is 97
[tex]1 - 25x {}^{2} [/tex]
what's the answer po?
Answers
[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]
Answer:(1 - 5x)(1 + 5x)
Hope it helps.
Do comment if you have any query.
5x + 4y + 7x + y
Answer ?
Answers
Answer:
12x+5y
Step-by-step explanation:
add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y
Answer:
Step-by-step explanation:
5x + 4y + 7x + y
Need to arrange all who have the same variable
=5x + 7x +4y + y
=12x+5y
solve pls brainliest
Answers
Answer:
1. -64
2.-27
Step-by-step explanation:
Hopes this helps
:)
Write two numbers that multiply to −33 and add to 8
Answers
Answer:
-3 and 11
Step-by-step explanation:
Help, with my homework. Please represent 2x^-5x-12 using algebra tiles
Answers
Answer:
2−4−12
Step-by-step explanation:
The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?
297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200
Answers
Seedless watermelon costs $.99 per pound. Find the cost per kilogram
please help and show the solution and answer thank uou
Answers
Answer:
$2.20/kg
Step-by-step explanation:
First, we must convert pounds to kilograms.
1 lb = 0.45 kg
If 1 lb costs $.99
then 0.45 kg costs $.99
0.45 kg = $.99
dividing both sides by 0.45
1 kg = .99 ÷ 0.45
1 kg = $2.20
What is 9÷8/9 in simplest form?
Answers
Answer:
10 1/8 or 81/8
Step-by-step explanation:
Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?
Answers
Answer:
-9/4
also known as
-2 1/4
Step-by-step explanation:
(10-1)/(5-9) = 9/-4
parallel = same slope
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope m of line f using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )
m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line g = - [tex]\frac{9}{4}[/tex]