Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.

Answers

Answer 1

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

5x + 4y = 6 and y = 5/4x + 5

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−7/5,13/4)

Equation Form:

x=−75,y=134x=-75,y=134

Melanie needs 12 lb of metal with 59% metal. If Melanie combines one metal with 25% silver and another 68% metal, how much of each metal does she need.

Answers

Answer:

c

Step-by-step explanation:

which expression is equivalent to -3x + 24

Answers

Answer:

-1x + 8

Step-by-step explanation:

Since you did not give any multiple choice options, here is a problem that is equivalent, because I divided the whole problem by 3, making it exactly equal to the other problem in size.

PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?

Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side

Answers

The answer will be C

Answer:

A. add 4 positive unit tiles to each side

Step-by-step explanation:

The reason is because its easier to solve without having to worry about negatives

16/5 divided by 7/4?

Answers

Answer:

28/5

Step-by-step explanation:

Answer:

1.8285714285714285714285714285714 is the answer. Round to the nearest hundredth.

1.83

Step-by-step explanation:

16/5 = 3.2

7/4 = 1.75

3.2/1.75 = 1.8285714285714285714285714285714

#teamtrees #WAP (Water and Plant) #STT (Save the Trees)

Answer each question. Would they be functions, or not functions?
Worth lots of points, will mark brainliest!

Answers

The answer is not functions

Answer:some are not functions and some are functions

Step-by-step explanation:

Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.

Need help fast trying to take a test plsss help

Answers

Amanda table values: 3, 6, 15, 30
Mia Table values: 5, 10, 25, 50

8x3 = (-2)(A)
Find the missing factor A that makes the equality true

Answers

Answer: -4x^2

Step-by-step explanation:

Please help me out!​

Answers

Perimeter of each face would be meters
meters bruh that’s easy lol

Use the Rational Root Theorem to list all possible rational roots for the equation.

x³+2x-9=0

a. 1, 2, 3, 9
b. 1, 3, 9
c. 0, 1, 2, 3, 9
d. 1, 2, 3, 9, 18
(for a, b, c, and d, each number is + and -)​

Answers

The answer would be B and here’s the steps :)

Someone help me with this please thank you !!!

Answers

Answer:

Around 10.8

Step-by-step explana

4²+10²=c

A group of 5 friends move into an apartment together to save on rent. The total monthly rent of the apartment is $4750 . Since the bedrooms are different sizes, the friends decide that each person should pay a different amount instead of splitting the rent evenly.

One of the friends named Nicole notices that her monthly rent is
D dollars less than it would be if the rent was split evenly. What is Nicole's monthly rent? Write your answer as an algebraic expression.

Answers

Answer: 950 - d

Step-by-step explanation:

4750 / 5 friends = 950.

then d dollars less is 950-d

Are the lines y=-2x-4 and 6x+3y=2 parallel? Answer Yes or No.

Answers

Yes, They are parallel

Brainliest?

Answer:

Yes

Step-by-step explanation:

Given lines:

y=-2x-4 and 6x+3y=2

One is given in slope-intercept form, the second one in standard form

Lets bring the second one to slope-intercept form:

6x + 3y = 23y = - 6x + 23y/3 = -6x/3 + 2/3y = -2x + 2/3

As we see both of the lines have the slope of -2

Since the slopes are same, the lines are parallel

-2(b-5)=16 x when b is 3 is

Answers

Answer:

When B is 3, it is not answerable. The sides are not equal, if it were -3 the answer would be 16.

Find the slope of a line with x-intercept 5 and y-intercept -3.

Answers

Answer:

3/5

Step-by-step explanation:

When you are given an x-intercept, the y value will always be 0.

When you are given a y-intercept, the x value will always be 0.

With the intercepts we are given, we can make two points we can solve for the slope with.

(5, 0)

(0, -3)

Now, find the slope with the formula [ y2-y1/x2-x1 ]

-3-0/0-5

-3/-5

3/5 or 0.6

Best of Luck!

please help...given that elm and oak street are parallel, find m

Answers

Answer:

102°

Step-by-step explanation:

(3x - 12)° + (2x + 2)° = 180°

5x - 10 = 180 ⇒ x = 38

m∠A = (3x - 12)°

m∠A = (3×38 - 12)° = 102°

Answer:

∠a = 3x -12 ( Being corresponding angle)

Now

(3x-12) + (2x + 2) = 180 ( Sum of straight angles)

5x - 10 = 180

5x = 190

x = 38

m∠a = 3x -12 = 3*38 -12 = 102

Step-by-step explanation:

Alisa types 900 words in 20 minutes. what is her typing speed in words per minute?

Answers

Answer:

45 words per minute

Step-by-step explanation:

900 words divided by 20 minutes= 45 words per minute

HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup. WILL MAKE BRAINLYEST

Answers

Answer:

15/4

Step-by-step explanation:

Equation: 40(5+x)=70*5+0x

Solve:

200+40x=350

40x=150

x = 15/4

15/4 gallons is the answer.

3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the amount of water in galloons needed to be added to make 40% sugar. Hence:

40% of (x + 5) = 70% of 5

0.4x + 2 = 0.7 * 5

0.4x = 1.5

x = 3.75

Therefore 3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup

Find out more at: https://brainly.com/question/13911928

The sum of three consecutive integers is 84. What are the three numbers?

Answers

three consecutive integers that add up to 84 are 27, 28, and 29.

81 divided by 7 plz just answer it

Answers

Answer:

11.57142857 (it doesn't go in evenly)

the result of 81 divided by 7 is 11 with a remainder of 4, which can be expressed as the mixed number 11 4/7 or the improper fraction 81/7.

When dividing 81 by 7, we can determine how many times 7 can be subtracted from 81 without going into negative values. By repeatedly subtracting 7 from 81, we find that 7 can be subtracted 11 times before reaching 4, which is less than 7. Therefore, the quotient is 11. However, there is a remainder of 4 left over.

So, the result of 81 divided by 7 is 11 with a remainder of 4, which can be expressed as the mixed number 11 4/7 or the improper fraction 81/7.

Learn more about division here

https://brainly.com/question/29380254

#SPJ6

Explain why the commutative property does not work for subtraction or division

Answers

Answer:The reason there is no commutative property for subtraction or division is because order matters when performing these operations.

Step-by-step explanation:

 If 3x + 8x + 4x = 6x + 63, then what is 5x + 2​

Answers

Answer:

37

Step-by-step explanation:

3x + 8x + 4x = 6x + 63 ( combine like terms)

>15x = 6x + 63 (subtract from both sides)

-6x. -6x

-----------------

>9x = 63. (divide both sides by 9)

--------------

9. 9

> x = 7 ( use this to plug in for your new equation)!

5(x) + 2

>5(7) + 2 (multiply 5*7)

> 35 +2 (then add)

> 37 is your answer

A women spent two thirds of her money. She lost two thirds of the remainder and then had $4 left. How much money did she start with?

Answers

I think she started with 12$ of money

Answer: She originally had $36

Step-by-step explanation: 4x3 = 12, then multiply that by 3, and you get 36. Because to find the whole you need to multiply each number by three.

Please help me with this !

Answers

Answer: x intercept : (3/2 , 0)

y intercept: (0, -2)

Step-by-step explanation:

how much less is 3,664 than 5,664 plz show ur working out AND THANK YOU A LOT ❤❤❤❤​

Answers

Answer:

3,664 is 2000 less than 5,664 because if you show your work, it is just subtraction. 5664

-3664

---------

2,000

3(2x–7)=5–(1–x)
help please

Answers

Answer:

x=3

Step-by-step explanation:

3(2X-7)=5-(1-X)

6X-21=-5-1+X

6x-x=-5-1+21

5x=21-6

5x=15

x=3

Move point A to different locations to change the orientation of the parallel lines. (You'll notice that the tool keeps AB and CD parallel to each other) Be sure that points A and B do not cross EF. Do the relationships among the angles that you noted in questions 2 through 4 change if you modify the set of parallel lines this way? Explain.

Answers

Answer:

S.A for Edmentum and Plato

Like and Rate

No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.

No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.

How to explain the parallel lines

If we modify the set of parallel lines by moving point A to different locations while ensuring that points A and B do not cross line EF, the relationships among the angles will not change. The statements regarding pairs of alternate interior angles being congruent, pairs of alternate exterior angles being congruent, and pairs of same-side interior angles being supplementary will still hold true.

The reason for this is that the properties of alternate interior angles, alternate exterior angles, and same-side interior angles are dependent on the fact that lines AB and CD are parallel. As long as AB and CD remain parallel, regardless of the position of point A, these angle relationships will remain consistent.

Learn more about parallel line

https://brainly.com/question/12065995

#SPJ2

1.
Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
(2 marks)

Answers

Answer:

Dodecagon (12 sides)

Step-by-step explanation:

PLS GIVE BRAINLIEST

Then choose whether you would find the percent increase or percent decrease: A town’s population was 36,067 in 2005. Ten years later, the population is 37,902.

Answers

Answer:

Increase

Step-by-step explanation:

1,835 more people came

graph: y - 3 = 1/2 ( x + 2 )

Answers

Step-by-step explanation:

(1) Create a table containing a few values of x and y

y - 3 = ½(x + 2)

   y = ½(x + 2) + 3

x     y

-10    -1

-6      1

0      3

6      7

10     9

(2) Plot your points

Draw dots at the coordinates of each point.

(3) Draw the graph

Draw a smooth line through the points.

Extend the line in both directions to the edges of the plot area.

Your graph of y - 3 = ½(x+2) should look like the figure below.

Have a beautiful day!

Answer: Slope = 1/4   Y intercept is (0,4)  X Intercept is (-8,0)

Step-by-step explanation: you have to graph the points by using the slope and Y intercept

Other Questions
List the possible rational zeros for each function.1. f(x)= 2x^3 - 3x^2 + 4x - 182. f(x) = x^4 - 3x^2 + 2x + 24Find the zeros of each function3. f(x)= 2x^3 + 2x^2 - 8x -84. f(x)= x^3 + x^2 - 10x + 8 What is the foundation of integrity? a. What you do. b. Your personal scripts. c. Your personal value system. d. What you say. What is the first step in seafloor spreading which sign indicates neglect? A. good communication B. helpful behavior towards others C. dirty appearance D. good hygiene will mark brainlest! Which of the following functions have y-axis symmetry?a y=x^2,y= |x|, y= cos(x)b y=sinx, y = cos x, y = x, y = x^3c. y=x, y=x^3, y=1/x, y=cos xd. y=1/x, y=sin x, y=x^2 Homework: 5.1 Systems of Linear Equationscore: 0 of 1 pt1 of 9 (5 complete)5.1.19Solve by the elimination method.7x - y = 51x + 3y = 23The solution set is (Simplify your answer. Type an ordered Geometry question Which could be used to proveABC = EDC? Evaluate 1 5y+ 1 10 when y= 1 2. PLEASE HELP!!!!!!idk y =3cos (2x-1) +0,3amplitude The most memorable Valentine's day gift for me was a box of chocolates from my dad. I came home from school a little sad. My friends received flowers at school for Valentine's day, but I had not received anything. I started up the stairs toward my room when my dad stopped me. He handed me a heart-shaped box with "Be Mine" written on the top. His eyes sparkled as he smiled. A. What is the best sentence to conclude the above paragraph?B. I gave him a big hug for the gift that created my most memorable Valentine's day ever.C. He wrote a card for my grandmother and we put it in the mail.D. I gave him a big hug for the gift.E. I smiled and opened the gift. Erica babysits for 4 hours and is paid $27. If the people she babysits for have $57 to pay her, how long can they stay out? write the linear equation 3. What is the report people can read to learn about the strengths and weaknesses of a particular product?Product PreviewBuyer be WareBuy NowConsumer Report Dillon and Samantha work at two different grocery stores. Dillon made $41.50 for working 5 hours and Samantha made $50.40 for 6 hours. Who makes more money per hour? Complete the table for the given ratio.Dogs, I Charge in dollars, y1535Plot the ordered pairs (x, y) from the table on the following graph.30+2520+.15-A10+5 Which is the best estimate of each percent?21% of 387 a80 b8 c800 d0.8 please hurry i need help asap!!!!! Suliman manages a manufacturing plant in North Carolina. Customers are unhappy over late deliveries. Inventories of some parts are high. Others are critically short. Senior management told him he has 3 months to become profitable or the plant will close. In this case, the plants income statement is:________a. a tactical control. b. a behavioral control. c. an operational control. PLease help me quickly