Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7​

Answers

Answer 1

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

Answer 2

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7


Related Questions

How to find maxima and minima without derivatives.

Answers

Answer:

Finding out the relative maxima and minima for a function can be done by observing the graph of that function

Find the equation of the line with slope m = 4/5 that contains the point (10, 11)

Answers

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

“a fraction f multiplied by 13 equals 29.

Answers

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Which triangles are congruent in the figure?

Answers

Answer:

ΔJLK≅ ΔMLN

Step-by-step explanation:

SSS

does anyone know how to solve this

Answers

Answer:

46

240

Step-by-step explanation:

Substitute the given values for the variables, and evaluate the expressions.

1.

n = -5; m = 4

2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46

2.

H = 60; Q = 40; V = 10

HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240

Answer:

46

240

Step-by-step explanation:

1) Put n = -5 and m = 4 into the equation, you'll then have;

2(-5)²-4

2(25)-4

50-4=46

2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;

(60×40×10)/100

24000/100

=240

Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

Answers

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.

Since the divisor is a unit value, we will not be rounding it up.

Take the quotient of 600 and 4.

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

Learn more on place values here: https://brainly.com/question/13721663

Calculate the distance between the points H= (0, 2) and E = (3, -6) in the coordinate plane.

Answers

Answer:

The answers is root 73.

Process is shown in the picture.

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Done

Step-by-step explanation:

Missing reasons:

2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASA

A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories

are in 2 cups of trail mix?
what is the answer plz ?

Answers

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value

Answers

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

Read more about sequence at:

https://brainly.com/question/18109692

A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.



A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids

Answers

The answer is Letter B.
Answer:
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)

7x+20=7x+20
help asap
step by step please

Answers

Answer:

The given equation is true for all x.

Step-by-step explanation:

Graph the line x = -6 on the axes delta math

Answers

Answer:

Draw a vertical line on a graph, with the x-axis at -6

this line should be parallel to the y-axis, but shift to the left 6 units.

Step-by-step explanation:

Solve the giving equation 2x-4=24 what’s the first step.

Answers

Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

What is an equation?

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

What is a negative z score and when would it be in your favor to have one?

Answers

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.

The negative z-score indicates that a particular value will be less than the mean.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

Callum says that every number is greater than its opposite. Do you agree?

Answers

Answer:

I disagree with Callum because the opposite of -1 is 1 and a positive number is greater than a negative number. If Callum wants to be right then he has to say every positive number is greater than its opposite in order to be true.

Step-by-step explanation:

A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.

Answers

The equation is y = 0.5x and the slope is 0.5.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]

Therefore the equation is y = 0.5x and the slope is 0.5.

Find out more at: https://brainly.com/question/21835898

The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c

The slope = m

The duration after which the farmer measures the average height of her tomato = x weeks

The average height of the tomato plant after x weeks = y

For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear

This means that the average height of the tomato will be represented by a linear equation as shown below

y  =  mx   +  c

The slope of the equation is m

Learn more here: https://brainly.com/question/25759076

the sum of 4√5+√5 is .......

Answers

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

mark as brialist pls

Consider the expression 8ab +3b + 16 - 4a ·How many terms are there ? ·How many factors are in the term (identify them ) · Which term is a constant ?

Answers

Answer:

the answers are below

Step-by-step explanation:

1: 4

2: 3 and they are 8ab, 3b, and 4a

3: 16

Answer:

8 a b - 4 a + 3 b + 16. Simplify: 8 a b - 4 a + 3 b + 16 Answer: 8 a b - 4 a + 3 b + 16

Step-by-step explanation: Coefficient is any of the factors with the sign of the term. ... The given algebraic expression has three terms, namely, 4a 4b2c – 3a3b2c and 3/2 ab3c2

A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?

Answers

Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

To know more about an expression follow

https://brainly.com/question/4344214

#SPJ2

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?

Answers

Answer:

15 dollars and 40 cents

Step-by-step explanation:

you add the shirt cost to the skirt cost to 3 times the sock cost

After that, you multiply that by 1.07 for the sales tax

then you take 75(her money) and subtract it from your previous answer to get how much she has left

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answers

Answer:

[tex]1.75+0.25log_{10}a[/tex]

Step-by-step explanation:

Given:

[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]

Simplify:

[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]

log both sides:

[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]

I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?

Answers

Answer:

B) men are less likely to prefer driving trucks than women

Step-by-step explanation:

How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.

Answers

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Independent variableInput valueX-value

Range

Dependent variableY-valueOutput value

Hope this helps!!

help me pls I need help​

Answers

Answer:

parallel lines are two lines drawn next to each other without a intersection

help me with this please!?!?!?!?!

Answers

Answer:

17/4

Step-by-step explanation:

add the fractions

Round 4.01 to the nearest one decimal place.

Answers

The answer should be 4.00

Find the perimeter. Simplify your answer.

Answers

Answer:

8v + 4

Step-by-step explanation:

Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4

= 8v + 4...ans

Hope it Helps you!!
Other Questions
WILL GIVE BRAINLEST!!! A rational expression has been simplified below(x-2)(x+6) X-27(x+6)*=2For what values of xare the two expressions equal? Domain and rangeeeeeee Readers who stop every now and then and make notes about things they think are important while they read are:using context clues.summarizing and synthesizingusing mnemonics.None of the choices are correct When viewed from the window of a moving train, nearby objects seem to pass by more quickly than do more distant objects. This cue for depth perception is called. paki answer guys di ko kaya (filipino) The amount of carbon dioxide absorbed by plants has doubled over the last 50 years. While this increase could have been caused by a growth in the number of Earths plants, what other explanation does the article offer? Why was the trans contention railroad so important Can somebody see if Im correct? The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. I learned that modal adverbs are. Scored 12 out of 39 in the test work out the percentage how did reforms protect children? At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode oftransportation each planned to use to get to school during the semester. The circle graph below shows the distribution ofstudents who selected the various modes of transportationModes of Transportation Selected byAbraham Lincoln High School Studentsdrivingfor or ridingin a student-driven car pool25%driving alone30%ridingwith parent10%walking10%riding in aschool busGina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the"walking" sector? the surrounding land is mostly What kinds of stories are exaggerations of the pioneer days in America?A) trickster talesB) tall talesC) mythsD) fableshey, can someone pls help me with this? Which traits did Ben Franklin want to develop in himself?Generosity, kindness, toleranceHelpfulness, love, involvementAcceptance and knowledge of the worldTemperance, efficiency, sincerity, and the avoidance of idleness and extravagance 8. "___________ the car keys?" "No, I _________." *Have you / am notYou do have / doDo you have / dontAre you having / m not the tens digit was 1. The ones digit was 6. The number was between 600 and 700 what was the number Guide is to direct as reduce is to *1 pointA) decreaseB) maintainC) increaseD) preserve What is s - -32 = 383 what does s = wha molecules absorbs sunlight for photosynthesis