Answers
2(6−2x)−2x=2(5+x)−4
Use the distributive property to multiply 2 by 6−2x.
12−4x−2x=2(5+x)−4
Combine −4x and −2x to get −6x.
12−6x=2(5+x)−4
Use the distributive property to multiply 2 by 5+x.
12−6x=10+2x−4
Subtract 4 from 10 to get 6.
12−6x=6+2x
Subtract 2x from both sides.
12−6x−2x=6
Combine −6x and −2x to get −8x.
12−8x=6
Subtract 12 from both sides.
−8x=6−12
Subtract 12 from 6 to get −6.
−8x=−6
Divide both sides by −8.
x = -6/-8
Reduce the fraction -6/-8 to lowest terms by extracting and canceling out −2.
x= 3/4
Related Questions
1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be
Answers
The number of 100 dollar bills in one billion dollars is 10 million hundreds or 70,900 hundred dollar bills.
To find the number of 100 dollar bills in one billion dollars, we can use the following steps:
First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,
we can divide one billion by 100 to get the number of hundreds
\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)
So one billion dollars is equal to 10 million hundreds.
Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)
The volume of one hundred dollar bill is approximately 0.00709 cubic inches.
Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)
Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.
Know more about volume here:
https://brainly.com/question/27710307
#SPJ8
How many 11-card hands are possible with a 20-card deck?
Answers
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
for such more question on combinations
https://brainly.com/question/28065038
#SPJ8
Which is the graph of f(x)=3^x
Answers
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
How to determine the graph associated with a given function
In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:
f(5) = 3⁵
f(5) = 243
The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.
To learn more on exponential functions: https://brainly.com/question/14355665
#SPJ1
I need help fast I’ll really appreciate it.
Answers
Answer:
11 : 8
Step-by-step explanation:
3 + 8 = 11
Answer:
11:8
Step-by-step explanation:
I think i may be wrong I hope this is right
is it true that two pairs of adjacent sides of a kite are equal
Answers
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
Learn more about kite here :
https://brainly.com/question/23279609
#SPJ9
50 Points! Multiple choice algebra question. Photo attached. Which represents the correct synthetic division of (x^2-4x+7) divided by (x-2)? Thank you!
Answers
Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)
What is the synthetic division?Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.
x - 2 | x^2 - 4x + 7
x^2 - 2x
---------
-2x + 7
-2x + 4
-------
3
read more on divisions here:https://brainly.com/question/31537400
#SPJ1
Tony bought a case of notebooks for his classroom priced at $8.50. If sales tax is 6%, what is the total cost after tax?
Answers
The price of the notebooks after adding the sales tax is $9.01.
Given that, a case of the notebooks is having a price of $8.50 before taxes, the tax is 6%, we need to find the price of the notebooks after adding the tax,
Therefore,
The price after the tax = 8.50 + 6% of 8.50
= 8.50 + 0.06 × 8.50
= 8.50 + 0.51
= 9.01
Hence the price of the notebooks after adding the sales tax is $9.01.
Learn more about sales tax click;
https://brainly.com/question/29442509
#SPJ1
$145 pair of UGGs, 25% discount, 6% sales tax final price
I NEED HELP ASAP!! (Grade 7)
Answers
solve if h=5 and y=8 7hy^2+y
Answers
Step-by-step explanation:
h = 5
y = 8
=> 7hy² + y
=> 7 × 5 × 8² + 8
=> 35 × 64 + 8
=> 2240 + 8
=> 2248
f(1)=0
f(n)=f(n−1)+2
Answers
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
Answers
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
To learn more about arithmetic operation, click on below link:
https://brainly.com/question/10639071
#SPJ1
A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?
Answers
Answer:
The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.
To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)
64 oz / 32 oz/quart = 2 quarts
Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer
So the total amount of water she needs is 2*34 = 68 quarts
To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)
68 quarts * 32 oz/quart = 2176 oz of water.
So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.
Over the past 36 months, Lois
has slowly lost 144 pounds.
Her weight dropped from 284
pounds down to 140 pounds.
During this time, what has
been Lois's average weight loss per month?
Answers
Answer:
4 lb/month
Step-by-step explanation:
loss of 144 lb in 36 months
144/36 = 4
Answer: 4 lb/month
I need help with this question please. It’s also just a homework practice btw
Answers
Explanation:
The quadratic equation is of the form,
\(\begin{gathered} y=ax^2+bx+c \\ a,b,c\text{ are constant} \end{gathered}\)a) For the first option, The given data represents the relation,
\(y=-4x\)So, it is not the quadratic equation.
b) From the table, the relation is,
\(y=3x\)Not a quadratic equation.
c) to find the quadratic equation,
\(\begin{gathered} \text{For (1,2)} \\ 2=a+b+c\ldots\ldots\ldots(1) \\ \text{For (4,8)} \\ 8=a(4)^2+b(4)+c \\ 8=16a+4b+c\ldots\ldots\ldots\text{.}(2) \\ \text{For (7,17)} \\ 17=a(7)^2+b(7)+c \\ 17=49a+7b+c\ldots\ldots\ldots\text{.}(3) \end{gathered}\)Solving these questions,
\(\begin{gathered} \text{equation}(1)\times16-equation\text{ (2)} \\ 16a+16b+16c-16a-4b-c=32-8 \\ 12b+15c=24 \\ 4b+5c=8\ldots\ldots\ldots(4) \\ \text{equation (1)}\times49\text{-}equation\text{ (3)} \\ 49a+49b+49c-49a-7b-c=98-17 \\ 42b+48c=81 \\ 14b+16c=27\ldots\ldots(5) \end{gathered}\)Now solve equation (4) and (5),
\(\begin{gathered} 14b+16c=27 \\ b=\frac{27-16c}{14} \\ It\text{ gives} \\ 4b+5c=8 \\ 4(\frac{27-16c}{14})+5c=8 \\ 3c+54=56 \\ c=\frac{2}{3} \\ \Rightarrow4b+5c=8 \\ 4b+5(\frac{2}{3})=8 \\ b=\frac{7}{6} \\ \Rightarrow2=a+b+c \\ 2=a+\frac{7}{6}+\frac{2}{3} \\ a=\frac{1}{6} \end{gathered}\)So, the equation is,
\(y=\frac{1}{6}x^2+\frac{7}{6}x+\frac{2}{3}\)d) The data represents the relation,
\(y=x^3\)Not a quadratic equation.
Answer: option c)
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Answers
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
Complete each congruence statement by naming the corresponding angle or side (odd questions only)
Answers
Answer:
Step-by-step explanation:
Corresponding parts of the congruent triangles are congruent [CPCTC]
By using this property of congruent triangles,
15). ΔABC ≅ ΔABR
BC ≅ BR [By CPCTC]
16). ΔJIH ≅ ΔJIW
∠HJI ≅ ∠WJI [By CPCTC]
17). ΔBDC ≅ ΔBDJ
∠CBD ≅ ∠JBD [By CPCTC]
please please help!!!
Katie needs 60 mL of a 10% acid solution for a science experiment. She has available a 8% solution and a 20% solution.
How many milliliters of the 8% solution and how many milliliters of the 20% solution should she mix to make the 10%
solution?
Answers
Answer:
The solution would be to solve two equations simultaneously.
Step-by-step explanation:
The solution would be to solve two equations simultaneously.
So let X = ml of 8 % SOLUTION and Y = ml of 20 % SOLUTION
We know that X + Y must = 60 ml.
So first equation is X + Y = 60
The second equation is the statement of the problem
0.2 X + 0.08 Y = 0.1 x 60 = 6
Second equation reduces to
0.2 X + 0.08 Y = 6
Solve the two equations for X and Y and you have your answer.
John painted his most famous work, in his country, in 1930 on composition board with perimeter 101.14 in. If the rectangular painting is 5.43 in. taller than it is wide, find the dimensions of the painting.
Answers
Answer:
22.57 x 28
Step-by-step explanation:
10.86 + 4x = 101.14
-10.86 -10.86
4x = 90.28
/4 /4
x = 22.57
5.43 + 22.57 = 28
22.57
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
Answers
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
for such more question on mean
https://brainly.com/question/14532771
#SPJ8
qual o numero de habitantes em Ubaitaba
Answers
Step-by-step explanation:
Números de personas: 18,847 in 2020
The answers are, s=0.20p
s=p-0.20p
s=p-0.20
s=p-p/20 please help I’m so close to passing math
Answers
Answer:
s=0.20p
Step-by-step explanation:
Determine whether the following represents a linear relationship or a nonlinear relationship.
Answers
Answer:
the answer to this is
A) nonlinear
Step-by-step explanation:
this is not linear because the line is not a line that goes in 1 direction. It has points of an increase and decrease so it is non linear
Answer:
it is not linear
Step-by-step explanation:
It is not a linear line because it is not going straight
Which of the following statements is NOT true?
The blues is often in a 12-bar format
The roots of the blues were in New York City.
The blues influenced music that came later.
Lyrics are important to the blues.
‘
Answers
The statement "The roots of the blues were in New York City" is NOT true.
among the late 19th and early 20th centuries, the blues first appeared among African American communities in the southern United States, particularly Mississippi.
African American musical traditions such field hollers, work songs, and spirituals were among those that influenced the development of the blues. African Americans utilised it to express their joys and achievements as well as their struggles and tribulations.
Even though the blues eventually spread to other parts of the United States and the world, its roots are firmly planted in the rural South.
Learn more about New York City:
https://brainly.com/question/4470233
#SPJ1
Using the equation y=(1/2)x, when x=0 what is the value y ?
Answers
Answer:
.
Step-by-step explanation:
ami
This table shows a proportional relationship between the number of students in a school and the
number of buses required to get them to and from school.
Number of
Buses
Number of
Students
64
2
128
4
192
6
Enter the number of students in 1 school bus.
Answers
Answer:
32Step-by-step explanation:
As per table we have:
2x = 64 or 4x = 128 or 6x = 192 ⇒ x = 3232 students in 1 school bus
What is the value of 2y + 3 when y +4 ?
Answers
Answer:
substitute y = 4 into the expression⇒(2×4)+3=8+3=11
Step-by-step explanation:
What is the equation of the line tha passes through the point (7,-4) and has undefined slope?
Answers
Answer:
Step-by-step explanation:
x = 7
Can you help please on this
Answers
Answer:
5
Step-by-step explanation:
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
The radius of the circle is
units.
The center of the circle is at (
,
).
Answers
Answer:
Center = (5, 0)
Radius = 9
Step-by-step explanation:
Look at the picture
The radius of the circle is 9units and the center of the circle is at (5, 0)
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where
r is the radius of the circle
(a, b) is the centre of the circle
GIven the equation is (x – 5)² + y² = 81.
Compare both equations
a = 5, b = 0
r^2 = 81
r = 9units
Hence the radius of the circle is 9units and the center of the circle is at (5, 0)
Learn more on equation of circle here: https://brainly.com/question/14150470