4x = 0.5(2x- 12) solve for x

Answers

Answer 1

Answer: x = -2

Step-by-step explanation:

4x=0.5(2x−12)

Use the distributive property to multiply 0.5 by 2x−12.

4x=x−6

Subtract x from both sides.

4x−x=−6

Combine 4x and −x to get 3x.

3x=−6

Divide both sides by 3.

x= 3−6

Divide −6 by 3 to get -2.


Related Questions

Hector surveyed 20 students in his school and asked them whether they favor or oppose a new school dress code. He found that 5 students are in favor of a new school dress code. Based on these results, Hector wants to determine how many of the 200 students in the school would favor a new dress code.

Answers

50 students of the 200 students in the school would favor a new dress code.

We will use simple cross multiplication here

For first case

no. of students surveyed = 20

no. of student agreed for a new dress code = 5

This gives us 5/20

For second case

no. of students surveyed = 200

no. of student agreed for a new dress code = x

This gives us x/200

Lets us cross multiply

5/20 = x/200

20x = 200×5

x = (200×5)/20

x = 50

What is cross multiplication?

Given an equation between two fractions or rational expressions in mathematics, particularly in primary arithmetic and elementary algebra, one might cross-multiply the equation to make it simpler or get the value of a variable.

The technique can be used to remember which things to multiply together by drawing lines that resemble the outline of a heart. It is also sometimes called as "cross your heart" technique.

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Which is equivalent to √3+√12?
A. √15
B. 3√6
C. 2√3
D. 3√3
E. 5√3

Answers

Answer:

d is the correct answer to your question

Answer:

3√3

Step-by-step explanation:

√3 +√12

we can write 12 as 3 X 4

√3 + √(3+4)

√3 + √3 √4

√4 = 2

√3 + 2√3

= 3√3

−2(−x−3)−4x−1= 13 solve for x

Answers

2x+6-4x-1=13

2x+5=13

2x=8

x=4

-2(-x-3)-4x-1=13
Looking at this equation/expression, to solve the left portion of the equal sign, we must first go through PEMDAS.
P is for parentheses, e is for exponents, m is for multiplication, d is for division, a is for addition an s is for subtraction.
What can we do first?
Well, I see parentheses, but there’s a number in front of it, so that indicates that we need to distribute. And even if we try to simplify what’s in the parentheses, we can’t. Because there’s a variable and a number. Those two don’t match up.
So, to show the distribution of -2(-x-3) is as follow:
(-2*-x)-(-2*-3)
Both are being multiplied by negatives, so as we know, a negative times a negative equals a positive.
-2*-x= 2x and -2*-3= 6
Because they’re both positive, the subtraction sign that was there in the original expression can change to an addition sign.
2x+6 is how it should look.
Now insert that expression into the entirety of the expression/equation.
2x+6-4x-1=13
The next step is to combine like terms.
2x and -4x are like terms as well as +6 and -1.
2x-4x=-2x; Notice that the first term is smaller than the second term, so it’ll go into the negatives because of that.
6-1=5; easy and simple math.
Now, we can put the expression/equation back together in two ways.
One is: -2x+5=13
Another is: 5-2x=13
Essentially, they are the same.
We’ll use -2x+5=13 since it’ll be more convenient to display the oncoming steps.
Then, we’ll subtract the 5 on both sides as follows:
-2x+5=13
-5 -5
The -2x stays there on the side that it is on while the +5 is eliminated because subtraction is the reverse of addition.
13 minus 5 is 8.
The equation/expression should look like this:
-2x=8
Lastly, we divide by -2 on both sides resulting in -2x to become just x and 8 to become -4 since a negative times a negative equals a positive.
Thus, the final solution is x=-4.
To check if it’s correct, insert the term -4 for each x within the equation.

Hope this helps.

Can u help me with this math plsss I will mark brainliest

Answers

Answer:

there.....................

Answer:

I4, C20, H6, O13, M3, V10, P23, G8, K19, H21, P16

What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1

Answers

C. you’re answer is 17/50

The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write
and solve a compound inequality to show the possible lengths of the third side.
09≤x≤18
O 18 ≤x≤ 33
036 ≤x≤ 42
045 ≤x≤ 60

Answers

If the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

Given,

The range of sum of three lengths = 45 to 60 inches

Length of other two side = 9 and 18 inches

Length of third side = x

Sum of three lengths = 9+18+x

= 27+x

The range of sum of three lengths is 45 to 60

then,

45≤27+x≤60

Subtract 27 from each part

18≤x≤33

Hence, if the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

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Answer:

B

Step-by-step explanation:

This is because 18 is less than or equal to x which is less than or equal to 33. Your welcome

Find the solution to the equation: 42-(3c+4)=2(c+4)+c

Answers

Answer:

5

Step-by-step explanation:

42-(3c+4)=2(c+4)+c

42-3c-4=2c+8+c

42-4-3c=3c+8

38-3c=3c+8

38-3c-3c=8

38-6c=8

6c=38-8

6c=30

c=30/6

c=5

A cafeteria is 6 squared ft wide and 7 squared ft long apply the laws of exponents to write two equivalent expressions for the area of the cafeteria

Answers

The two equivalent expressions for the area of the cafeteria are:

a. x = 6² + 7² feet

b. 36 + 49 = x feet.

Given the length of the cafeteria is 7² ft and

the width of the cafeteria is 6² ft.

Area = length × width

let the area be 'x'.

x = 6² × 7²

According to the law of exponents.

x = 36 × 49

x = 1764 ft

hence we get the area as 1764 ft of the cafeteria.

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Which are the first five terms of a geometric sequence in which the second term is 6 and the fourth
term is 54?
3, 6, 27, 54, 108
3, 6, 54, 486, 4,374
-18, 6, 30, 54, 78
2, 6, 18, 54, 162

Answers

The first five terms of a geometric sequence in which the second term is 6 and fourth term is 54 are 2, 6, 18, 54, 162. Thus, the correct option is option D.

A Geometric progression may be defined as a series of terms in which the ratio between each succeeding term and the preceding term of the series is constant.

It is given that the second term of the series is 6 and the fourth term is 54.

The first five terms of geometric sequence are given by a, ar, ar², ar³ and ar⁴.

Thus, ar = 6                                                            ......(1)

ar³ = 54                                                                  ......(2)

Divide equation (2) by (1)

ar³/ar = 54/6

r² = 9

=> r = 3

Putting value of r in equation (1)

ar = 6

=> a×3 = 6

=>a = 2

Now, substituting the values of a and r the terms of Geometric progression are given by:

a = 2, ar = 6, ar² = 18, ar³ = 54 and ar⁴ = 162.

Thus, the first five terms of Geometric sequence are given by 2, 6, 18, 54, 162.

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Which of the following is the number form of thirty-eight and one hundred seven thousandths?
A.38.170
B.38.017
C.38.107
D.38.071

Answers

Number Form

C.) 38.107

___________________________________________________

The solution is simple. "Thirty-eight" is just 38, remaining on the left side of the decimal. Meanwhile, "one hundred seven thousandths" is 107, however on the right side of the decimal. Now you know this, put the two parts together and you have your number form; 38.107, aka. Option C.

___________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

A horses mane grows 1. 5 inches in 1 month. Lauras hair grows 0. 25 inch in 1 week


determine in the situation represents a proportional relationship ​

Answers

1:5:1 or 3:2 is the proportional relationship.

What is the proportional relationship?

In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant. Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.

Given Data

If considering that a month has 4 weeks approx, then Laura's hair grows( 0.25 inches×4)= 1 inch in a month.

Whereas the horse's mane grows 1.5 inches in a month.

Thus the proportional relation or ratio between growth of Horse's mane and Laura's hair for the same amount of time period is 1.5:1 or 3:2

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How many unique trapezoids can be drawn with base angles that each measure 60° and sides that measure 4 cm, 4 cm, 8 cm, and 12 cm?

Answers

The number of unique trapezoids that can be drawn with base angles and side measures is 1

How to determine the number of unique trapezoids?

The given parameters are

Base angle = 60 degrees

Side lengths = 4 cm, 4 cm, 8 cm, and 12 cm

From the question, we understand that the given angle is the base angle

Since the base angles are equal, then the trapezoids is an isosceles trapezoid

This also means that the nonparallel sides are equal i.e. 4cm each

While the parallel sides are not i.e. 8cm and 12 cm

Hence, the number of unique trapezoids that can be drawn with base angles and side measures is 1

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Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 8181, find Anna's age.

Answers

Answer:

27

Step-by-step explanation:

Say the youngest sibling is a. Anna would be a+1, and the oldest would be a+2. If the sum of all of them are 81, then 3a+3 = 81. minus three on both sides, and you get 78. So 3a = 78/3 = 26. if the youngest is 26, then Anna will be a + 1 so 27.

The age of Anna where she is the middle of three siblings is 27 years.

Given data:

Let's represent Anna's age as "x." Since Anna is the middle sibling, the ages of her siblings would be x - 1 and x + 1, since they are consecutive integers.

According to the information given, the sum of their ages is 8181:

x + (x - 1) + (x + 1) = 81

Now, combine like terms:

3x = 81

Divide both sides by 3:

On simplifying the equation:

x = 81/3

x = 27

Hence, Anna's age is 27 years.

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The complete question is attached below:

Anna is the middle of three siblings whose ages are consecutive integers. If the sum of their ages is 81, find Anna's age.

Who knows what a black widow spider can do

Answers

um if it bites you it can kill you

What is the equation of the line that is parallel to the line y =
Oy=-x+3
O y=-x+7
Oy= 3x - 13
Oy= 3x +5
-x+4 and passes through the point (6, 5)?

Answers

Answer:

Step-by-step explanation:

x=4 is a vertical line.

horizontal line through (-6,5): y=5

y=6 is a horizontal line.

vertical line through (-6,5): x=-6

The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -( 1/3 )x + 4

Let the first point be P ( 6 , 5 )

Slope m = -1/3

The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is

y - 5 = ( -1/3 ) ( x - 6 )

Adding 5 on both sides , we get

y = ( -1/3 )x + 2 + 5

y = -( 1/3 )x + 7

Hence , the equation of line is y = -( 1/3 )x + 7

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The complete question is attached below :

What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?

A) y = -1/3x + 3

B) y= -1/3x + 7

C) y= 3x - 13

D) y= 3x + 5

What is the slope of the line represented by this equation?
-3X+ 8y = 12

Answers

The slope of the equation - 3 x+ 8 y = 12 is 0.375.

We are given an equation of the line:

- 3 x+ 8 y = 12

We need to find the slope of the equation.

x intercept:

- 3 x = 12

x = -4

Point 1 = ( - 4 , 0 )

y intercept:

8 y = 12

y = 1.5

Point 2 = ( 0 , 1.5 )

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the values, we get that:

m = ( 1.5 - 0 ) / ( 0 - [-4])

m = 1.5 / 4

m = 0.375

Therefore, we get that, the slope of the equation - 3 x+ 8 y = 12 is 0.375.

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In a class of 20 students, 5 are left handed. What percentage of students are right handed?

Answers

Total number of students in class = 20
Number of students who are left handed = 3
Percentage of students who are left handed in class =
=
=
= 15%
Hence the percentage of students who are left handed in class is 15%

Answer: 75%

Step-by-step explanation:

20-5=15 right handed  students

[tex]\displaystyle\\\frac{15}{20}*100\% =\\\\\frac{15*20*5}{20} \%=\\\\15*5\%=\\\\75\%\ -\ percentage\ of\ students\ are\ right\ handed[/tex]

Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?

Answers

Answer:

$29.05

Step-by-step explanation:

First, you have to multiply $19.95 by 2 since he bought 2 shirts that were the same price. 19.95 times 2 is a total of $39.90. It says that he saved $9.10 on both shirts so, in order to see the original price of the shirts, you would have to multiply $9.10 times 2 which is $18.20. Now you need to add 39.90 to 18.20 which is $58.10. You just need to divide that by 2 which will give you $29.05.  Each shirt's orignial price was $29.05

Hope that helps you out :D

Please Help me it is a major grade due today

Answers

Answer:

3x² + x

Step-by-step explanation:

collect the like terms first:

2x² + x² - 4x + 5x + 1 - 1

3x² + x

Answer:

the last answer. 3x to the second power + x

Step-by-step explanation:

A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new of
between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 a
Bellevue has a weight of 5, how far from Bellevue should the office be located?
miles

Answers

Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.

What is the weighted mean?

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the observations are given as follows:

Bellevue, at position 0, with a weight of 5.Jonesville, at position 60, with a weight of 3.

These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.

The weighted mean between these positions is found as follows:

M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.

The meaning of the weighted mean is that:

The office should be located 13.85 miles from Bellevue.

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in a famous experiment carried out in 1882, michelson and newcomb obtained 66 observations on the time it took for light to travel between two locations in washington, d.c. a few of the measurements (coded in a certain manner) were 31, 23, 32, 36, −2, 26, 27, and 31. (a) why are these measurements not identical? (select all that apply.)

Answers

These measurements are not identical due to confounding;

When the effects of two or more explanatory variables on a response variable cannot be distinguished from one another, confounding occurs in an experiment.

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A lab technician is dividing a cell that has a diameter of 4.32×10−4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cell?

Answers

Answer:

I'm assuming that the number is supposed to be 4.32x10‾⁴, so if the new cell has half the diameter, then it's diameter would be 2.16x10‾⁴

your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. your mom offered to buy you a new shirt or a new pair of shoes. which item (shoes or shirt) should your mom buy for you to maximize your total number of outfits (shoesshirt-pant)?

Answers

A pair of shoes gives us 48 different outfits.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

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Analia wants to know which school has the higher SAT average relative to resources invested per student
A SAT average divided by number of sports medals won
B SAT average divided by number of students
C SAT average divided Budget per student
D SAT average divided by teachers per student

Answers

The answer is SAT average divided Budget put student. :)

Work out the value of each expressions.


a) 5(x³ - x) + 5x² /3 - 12x when x=3


b) 3y+16+ (y/2) -20/y when y=4

Answers

a) Simplification of the algebraic expression 5(x³ - x) + 5x²/3 - 12x when x = 3 is; 99

b) Simplification of the algebraic expression 3y + 16 + (y/2) - (20/y) is; 25

How to solve Algebraic Fractions?

a) We are given the algebraic expression;

5(x³ - x) + 5x²/3 - 12x

We want to simplify this when x = 3. Thus, we plug in 3 for x to get;

5(3³ - 3) + 5(3²)/3 - 12(3)

= 5(27 - 3) + (5 * 3) - 36

= 120 + 15 - 36

= 99

b) We are given the algebraic expression;

3y + 16 + (y/2) - (20/y)

We want to simplify this when y = 4. Thus, we plug in 4 for y to get;

3(4) + 16 + (4/2) - (20/4)

= 12 + 16 + 2 - 5

= 25

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write and solve an equation to find the difference between the location of point a and point b on the ruler.

Answers

Using distance formula, distance between two points is √61 unit

Let's us consider an example first -

What is the the distance between A and B

Let A = (3,2) and B (9,7)

Given A (3,2) and B( 9,7) are the two points on a plane

We have find to distance between A and B

Put the distance formula in two points as we know -

Distance= d√(x^2-x^1)^2 + (y^2-y^1) ^2

Here X1= 3

         X2 =9

         Y1=2

         Y2=7

Thus putting all these value x and y formula

d= √(9-3)^2+(7-2)^2

d=√(6^2+5^2)

d=√(36+25)

d=√61 unit

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M(5, 7) is the midpoint of PS The coordinates of S are (6, 9). What are the coordinates of p2

Answers

The required coordinate of point p is (4,6) of line segment PS.

Given that

M(5, 7) is the midpoint of PS The coordinates of S are (6, 9).
To determine the coordinates of p.

Here,
Let the coordinate of P be (h, k)
Now, the coordinates of the midpoint is given by,
x = [x₁ + x₂] / 2                           ;     y = [y₁ + y₂] / 2
now, putting x = 5, x₁ = 6, x₂ = h;     y = 7, y₁ = 9 y₂ = k
5 = 6 + h / 2                              ;     7 = 9 + k / 2
10 - 6 = h                                  ;     14 - 9 = k    
h = 4                                         ;      k  = 5

Thus, the required coordinate of point p is (4,6).

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Important Please Help!!!!!!

Answers

180 hehehehehheheheehhehehe
Both 90 and 180. Every other on the square would not be right back on the original

2 and 8 supplementary or congruent

Answers

Answer: where's the pic?

The 100 m world record was completed at an average speed of 37.6 km/h. Work out this speed in metres per second (m/s). Give your answer correct to one decimal place (1 d.p).

Answers

The average speed in meters per second is 10.4 m/s.

What is the average speed in meters per second?

Average speed is the total distance travelled per time. Average speed can be determined by dividing total distance by

Average speed = total distance / total time

The first step is to convert kilometer to meter: 1000 meter = 1 kilometer

The second step is to convert hours to seconds:

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 x 60 seconds

1 hour = 3,600 seconds

Multiply the average speed by 1000 meters and divide by 3,600 seconds.

37.6 x (1,000 / 3,600)  = 10.44 m / s

10.4 m/s (1 d.p)

In order to round off to one decimal place, if the hundredth figure is less than 5, there is no change in the tenth digit. Digits that are less than the tenth digit are removed.

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guiding questionsthaddeus stevens1.thaddeus stevens was a radical republican. what did radical republicans stand for? A driver travels northbound on a highway at a speed of 25.0v m/s. A police car, traveling southbound at a speed of 40.0 m/s , approaches with its siren producing sound at a frequency of 2500 Hz. (a) What frequency does the driver observe as the police car approaches? Solve the following quadratic equation: (8x+7)(x+1)=9 5 step in audit process? HELP ASAP easy stuff what is the physical state of dna after being denatured by heat? what is the physical state of dna after being denatured by heat? single-stranded individual nucleotides individual bases, sugars, and phosphates double-stranded identify the sentences with correct verb tense usage. check all that apply. his japanese language classes began last night. beatrice has seen steve jobs speak at two conventions. every day before showering, he pours himself a cup of coffee and checked his e-mail. i have broke the printer three times since i started working here. What is the area? Please help!! give an example of a scientific investigation desgn, with apropiate constants and variables (iv and dv) What is correct solution for this problem?(x) + (4x) = 180 A survey of 541 adults aged 18-24 year olds was conducted in which theywere asked what they did last Friday night. It found:181 watched TV 180 hung out with friends 150 ate pizza 46 watched TV and ate pizza, but did not hang out with friends 36 watched TV and hung out with friends, but did not eat pizza 29 hung out with friends and ate pizza, but did not watch TV 25 watched TV, hung out with friends, and ate pizzaHow may 18-24 year olds did not do any of these three activities last Friday What legal problem did Justinian the Great face when he became emperor? The Roman laws had been lost after repeated barbarian invasions. Much of the Roman legal code had lost credibility due to its connection with paganism. Many laws contradicted each other, and several did not applied to society centuries before. The laws raised questions about his legitimacy as emperor based on his background. Which type of sentence is this? aviation pioneer amelia earhart, whose first flight across the atlantic in 1928 was as a passenger, made her historic solo transatlantic flight in 1932. According to Washington, what would happen to the nation if it stayed a confederation? and what solution did he suggest this is a prompt for a high school english language arts class.sometimes, a person does something for us that is unexpected but incredibly meaningful. write about a time in your life when someone helped you in an unexpected way. how did it make you feel? why was it meaningful or significant to you?which format is most appropriate for a response to this prompt?a fictional narrativea nonfiction articlea personal essaya persuasive speech Read the list of sentences from the article. it would end the era of merchants buying goods according to one unit, selling in another and pocketing the ill-gotten profit. as the rest of the world adopted the metric system, the united states continued to bumble around with unwieldy imperial units. this country could have gone metric right from the beginning, instead of being dragged into the system kicking and screaming. a shared system of measurement would promote trade between the two nations and serve as a slap in the face to the british, who were still fumbling about with feet and furlongs. which two sentences taken together provide the best evidence to support the idea that adopting the metric system would have benefitted the u.s. in the 18th century? a 1 and 3 b 2 and 4 c 1 and 2 d 3 and 4 Point e is on line segment DF given ef =16 and DF=19 Now, summarize the criticisms leveled against Lincoln's Gettysburg Address by the writer of the editorial. Which of the following statements about succession is not true?a.Succession is the cause of ecosystem destruction.b.Succession is a process that allows communities to recover from disruptive events.c.The process of succession is necessary to maintain and establish stable communities.d.Succession can follow both human and natural events.Please select the best answer from the choices providedABCfor edgen 2022 Lucy paid $120 for an item at the store that was 20 percent off the original price. what was the original price?