In which step did Carson make his first mistake?
1 - 4x = 2/3 (-2 + x)
Step 1: 1 - 4x = - 4/3 + x
Step 2: 1 = -4/3 + 5x
Step 3: 7/3 = 5x
Step 4: 7/15 = x

Answers

Answer 1

Answer: the first because he didn’t distribute the 2/3 with all the things in the parentheses

Step-by-step explanation: it’s supposed to be -4/3 + 2/3x the first step


Related Questions

Given that sin 60° ≈ 0.866, write the
cosine of a complementary angle

Answers

Answer:

Step-by-step explanation:

Complement to 60° = 30°

cos(30°) = sin(60°) = 0.866

Answer:

0.866.

Step-by-step explanation:

We use the identity

sin x = cos (90-x)

So the cosine of the complementary angle is also 0.866.

What decimal is equivalent to 10/3?????

Answers

Answer:

That would be 3.0

Step-by-step explanation:

Hope this helps!

Have a nice day :)

Answer:

3.3333...

Step-by-step explanation:

Hope this helps :)

Given ADE with AD= 5 centimeters, BD= 3 centimeters and DE= 10 centimeters


What is the length of BC?

A. 6 2/3 cm
B. 5 cm
C. 4 cm
D. 6 cm

Answers

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

Can Somebody help me real fast?

Answers

(2x+11)+(5x+1)=180
7x+12=180
7x=168
x=24

The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the population was at the start?

Answers

Answer:

32 times as many bacteria after 5 days

plz help will give brainliest

CDE is reflected over the Y- Axis

Answers

Answer:

The answer to this question is A

The new coordinates will be C( 3 ,0),  D( 7,1) , E(2,4) , Option A is the correct answer.

What is the meaning of Reflection ?

When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.

The figure is given in the question.

The coordinates of the figure is

C( -3 ,0)

D( -7,1)

E(-2,4)

When reflection is done along any axis , the coordinates of the other axis change sign.

so in this case ( x,y ) -----> ( -x,y)

The new coordinates will be

C( 3 ,0)

D( 7,1)

E(2,4)

Therefore Option A is the correct answer.

To know more about Reflection

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ANSWER QUICK BESTIES!! ty

Answers

Answer:

Option B

Step-by-step explanation:

Option A, C and D have x- values that repeat and you cannot have that.

Y values can repeat but not x-values.

Option B has all x values with different y-values

Answer:

B.

Step-by-step explanation:

an output can have more than one input but an input can only have one output

basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that

hope this helps <3

Order the following set of rational numbers from least to greatest: -8, -19, 0, 1/2, 1/4

Answers

Answer:

-19, -8, 0, 1/4, 1/2 is the correct order

Answer:

[tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Step-by-step explanation:

Skills required: Ordering a set of numbers

1) [tex]-8,-19,0,\frac{1}{4}, \frac{1}{2}[/tex] are the numbers we are given. There are 2 important things to think about when ordering this set.

Negative numbers (the numbers with a "-" sign in front of it) are always less than 0. Negative numbers are: -1, -5, -67, -990Positive numbers (the numbers without a "-" sign in front of them) are always greater than 0. Positive numbers are: 1, 3, 45, 67

2) Based on this, we can split the 5 numbers into 3 groups:

The negative group: -8,-19The special group: 0The positive group: [tex]\frac{1}{2}, \frac{1}{4}[/tex]

3) Starting with the negative group, we can easily find which number is greater.

-1 is greater than -2.

-23 is greater than -35.

Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number

4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers

5) Now onto the positive numbers, which is also easily solvable.

When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.

Do division. [tex]\frac{1}{4}[/tex] is 1 ÷ 4 and [tex]\frac{1}{2}[/tex] is 1 ÷ 2. So, generally, given a fraction [tex]\frac{x}{y}[/tex], you would do x ÷ y to find the decimal form. If you know how to compare decimals, this is a good way. 1 ÷ 4 is 0.25 and 1 ÷ 2 is 0.5, and 0.5 is greater than 0.25, making [tex]\frac{1}{2}[/tex] greater than [tex]\frac{1}{4}[/tex] Compare denominators. So, these two fractions have the same numerator of 1. To find out which is greater, we can look at the denominators. If 2 fractions have the same numerator, the one with a lower denominator is greater, when looking at positive numbers. 2 is less than 4, so [tex]\frac{1}{2}[/tex] is greater than [tex]\frac{1}{4}[/tex]

This means that [tex]\frac{1}{4}[/tex] is the 4th number, and [tex]\frac{1}{2}[/tex] is the 5th term.

Our ordered pair would then be: [tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Hope this helps and have a nice day!! :) :] :D

Question 4 The 6th grade class is raising money for a camping trip to the mountains. So far they have raised $900, which is 60% of the total cost. How much money does the total trip cost?​

Answers

Answer:

1500

Step-by-step explanation:

Total cost would be 60%+40%

Since we have 60% amount already

0.60* total cost=900

total cost=90000/60

=1500

Which set of measurements could not represent the side lengths of a right triangle?
A 16 ft, 30 ft, 34 ft
B 9 ft, 12 ft, 15 ft
C 7ft, 24 ft, 25 Ft
D 5ft. 7 ft, 12 ft

Answers

The answer is C
Step by step explanation
16 ft,30 ft 34ft

The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

What is a right triangle?

The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.

Given that, the set of measurements representing the side lengths of a right triangle,

We will check the measurements by seeing if they are following the Pythagoras theorem or not,

Option A)

16 ft, 30 ft, 34

16²+30² = 1156 = 34²

∴ 16²+30² = 34²

Option B)

9²+12² = 225 = 15²

9²+12² = 15²

Option C)

7²+24² = 625 = 25²

7²+24² = 25²

Option D)

5²+7² = 74 ≠ 12²

Since, 5ft. 7 ft, 12 ft set of  measurements are not following the Pythagoras theorem.

Therefore, it's not a right triangle.

Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

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See attached an good explaination would be appreciated

Answers

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

Find the discriminant.
- 4y^2- 8y + 2 = 0

Answers

Answer:

this is not equal to zero

Determine the center and radius of the following circle equation: x² + y2 + 2x – 2y – 62 = 0​

Answers

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius

identify 2 possible reasons for unemployment​

Answers

Answer:

Pandemic, Loss In family

Step-by-step explanation:

The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

An injury or the pandemic

1.1
Consider the following pattern:
87; 84; 81 ...
1.1.1 Find an expression for the nth term of the
sequence
(3)

Answers

Answer:

The nth term of the arithmetic sequence is;

90 - 3n

Step-by-step explanation:

Here, we want to find an expression for the nth term of the sequence

Mathematically, let us determine the type of sequence

As we can see;

84 - 87 = 81-84 = -3

The difference between the terms is a constant; this means that the sequence is arithmetic

The nth term of an arithmetic sequence can be represented by;

Tn = a + (n-1)d

in this case, a is the first term of the sequence = 87

d is the common difference of the sequence = -3

The nth term is thus;

Tn = 87 + (n-1)-3

Tn = 87 - 3n + 3

Tn = 87 + 3 - 3n

Tn = 90 - 3n

Please help me solve this!!!
V=1/3bh

Answers

Answer:

What?

Step-by-step explanation:

Okay, the formula, then what?

Answer:

the answer is v=bh/3

Step-by-step explanation:

I solve for V since you didn't put what letter you wanted the question to be solved for.

hope this helps.

lol gghjbgghu was a

Answers

it might be 4/5? good luck

Answer:

4/5

Step-by-step explanation:

What is the equation for the axis of symmetry of the graph of this function?

F x = -3
G y = -3
H x = -5
J y = -5​

Answers

F is the anwser:))))))))))

Discuss the history of algebra. Discuss some of the key developments in the field of algebra and discuss who the contributors were? Provide a timeline of these key developments 4 paragraphs plz i'll give branliest 50 points i need this plzz

Answers

History of algebra

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).

This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.

Simplify
5т — п — 5п + 2

Answers

Answer:

5t-4n+2

Step-by-step explanation:

n-5n=-4n

5t-4n+2

Given: y= 2x + 1 and - 4x + y = 9,
solve the system by substitution

Answers

Answer:

x=-4     y=-7

Step-by-step explanation:

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

-16+(-7)=9

9=9

x=-4

y=-7

gl

                 

Please help me!

A taxi charges a $2 flat fee plus $2.35 per mile. If Caleb can spend no more than $47, write and solve an inequality to represent the number of miles m he can ride in the taxi.
Select the correct inequality to represent this situation.
2.35 + 2m < 47
2 + 2.35m ≤ 47
2.35 + 2m ≤ 47
2 + 2.35m < 47

Answers

Answer:

2+2.35<47

Step-by-step explanation:

because the taxi charge $2 + $2.35 per mile and < means you spend less than $47.

17. Find the value of x. Round to the nearest degree. (2 points)

Answers

Answer:

x = 51°

Step-by-step explanation:

Use sine:Sine = opposite __________ hypotenuse We have:Opposite = 7Hypotenuse = 9 Substitute: Sin x° = 7 ___ 9 Sin x° = 0.777....Sin x = 0.7778 = x = 51°

How do I solve 3(x−9)=30

Answers

Answer:

x = 19

Step-by-step explanation:

use the distributive property

3(x - 9) = 30

3x - 27 = 30

     +27   +27

3x = 57

divide by 3

x = 19

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

The value of x is 19.

Step-by-step explanation:

The steps are :

3(x- 9) = 30

3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]

x - 9 = 10

x - 9 + 9 = 10 + 9 [eliminate -9 on left side]

x = 19

find the mean absolute deviation of the data set {6,9,12,8,10}

Answers

mean absolute deviation of the set is 1.6

A ball is thrown into the air with an initial upward velocity of 48 feet/second. If height h in
feet after t seconds is given by the function h(t) = – 16t2 + 48t + 4.
a) What height will the ball be when 2 seconds has passed?

b) In how many seconds will the ball reach its maximum height?

c) What is the ball’s maximum height?

Answers

Answer:

Step-by-step explanation:

after 2 seconds the ball would be 96 feet in the air

in 9 seconds will it reach its max height

max height=136ft

Solve each system by substitution y=-2
5x + 2y = 16

Answers

Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4

Please answer. Thank you.

Answers

I wanna say its 35 but im not for sure sorry not much help

Which set of ordered pairs does not represent a function?

A\{(5, -1), (-3, -3), (8, 4), (4, -3)\}{(5,−1),(−3,−3),(8,4),(4,−3)}
B\{(-6, -7), (-3, -3), (-2, -8), (-6, 4)\}{(−6,−7),(−3,−3),(−2,−8),(−6,4)}
C\{(-2, 1), (-8, 0), (6, 7), (8, 7)\}{(−2,1),(−8,0),(6,7),(8,7)}
D\{(5, -3), (-6, 2), (-5, 3), (1, 2)\}{(5,−3),(−6,2),(−5,3),(1,2)}

Answers

Answer:

option B

Step-by-step explanation:

you cannot have one input and 2 outputs.

(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction

Write an equation of the perpendicular bisector of the segment with endpoints
(−1, −5) and (3, −1).
HELP!!

Answers

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

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