1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gelneren [198K]
3 years ago
10

Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step an

d justify your reasoning. Morgan: 7x+5x+1=73 12x+1=73 Dakota: 7x+5x+1=73 7x+6x=73 Taylor: 7x+5x+1=73 7x+5x=72
Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;

7x+5x+1=73

take the sum of 7x and 5x

12x+ 1 = 73

subtract 1 from both sides

12x+1-1 = 73-1

12x = 72

Divide both sides by 12

12x/12 = 72/12

x = 6

Based on the calculation above, the students with invalid first step is Dakota.

<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>

mrs_skeptik [129]3 years ago
4 0

Answer:

As you can see, Taylor failed to add 1 to her equation. This ruins the whole first step. She also used 72 instead of 73 for the answer. Taylor is incorrect.

You might be interested in
In the​ 1970s, due to world​ events, there was a gasoline shortage in the United States. There were often long lines of cars wai
barxatty [35]

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

  the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

7 0
3 years ago
Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of v
irga5000 [103]

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

<h3>How to test objective functions?</h3>

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55)  and  (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15)  and  (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

Read more about Objective Functions at; brainly.com/question/16826001

#SPJ1

5 0
1 year ago
I really need help for this question <br>​
katrin [286]
The answer is equal the lengths change when a shape is dilated but the ratio of it does not
7 0
3 years ago
Can someone help me plz am stuck on this.
chubhunter [2.5K]
First Question

circumference = pi * diameter

diameter = circumference/pi = 94.2 in./3.14 = 30 in.

The wheels have a 30-inch diameter.
-----------------------------------------------------------------------
Second question

The area of a circle: area = pi * r^2

radius = diameter/2 = 94.2 in./2 = 47.1 in.

area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2

Answer: 6966 in.^2
-----------------------------------------------------------------------
Third question

The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.

4 * 94.2 in. = 376.8 in.

Answer: 376.8 in.
6 0
3 years ago
A line has a y-intercept of 4 and a slope of 2/3. Explain how you can use this
Dafna1 [17]

Answer:

0,2 0r 2/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Alberts hair was 5 centimeters long after his last haircut and it grows 4 cm every year. How many years will it take until Alber
    14·2 answers
  • What is a greater quanity 1/3 or 50 percent? PLEASEEEEE!!!!!!
    8·2 answers
  • How to find parts of similar triangles
    10·1 answer
  • Which of the competitors is closest to the checkpoint? 0 is the checkpoint btw
    10·1 answer
  • Rewrite 5V4•V2 as a single radical.
    11·1 answer
  • Solve the system of equations​
    6·1 answer
  • Write as decimal 2.8+ 7.2222=
    14·1 answer
  • Which of the following satisfy x ≥ 4.1? Select all that apply.
    13·1 answer
  • The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall,
    5·1 answer
  • Identify the property of (-12)+12=0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!