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
exis [7]
3 years ago
12

The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7

= 13 + 2x Step 3. 6x − 2x = 13 + 7 Step 4. 4x = 20 Step 5. x = 5 In which step did the student first make an error and what is the correct step? (1 point) Step 2, 9x − 12 = 13 + 2x Step 2, 9x − 4 = 2(6 + x + 3) Step 3, 6x + 2x = 13 + 7 Step 3, 6x − 2x = 13 − 7
Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

<em>Check</em>

  3(3(25/7) -4) = 8 + 2(25/7) +5

  3((75 -28)/7) = 13 +50/7

  141/7 = 141/7 . . . . . answer checks OK

You might be interested in
All rational numbers are integers trure or false​
slega [8]
True.

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
3 0
3 years ago
Read 2 more answers
Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0
vladimir2022 [97]
I belive the answer is b
3 0
3 years ago
Donna takes classes at both Westside community college and pinewood community college. at westside , class fees are $98 per cred
Alex777 [14]

Answer:

Expression for the combined total dollar amount she paid for her class fees is  (2185 - 17 w)

Step-by-step explanation:

Let Donna  is taking w credit hours at Westside.

Total combined credit hours at two schools =  19 hours

So, the number of credit hours at Pinewood  =  19 - w

The per hour fees credit of Westside community college = $98

So, the total fees paid for w hours  = w x Fees per hour

= w ( $98)  = $(98w)

⇒The fees Donna pays at Westside community college =  $ (98 w)

The per hour fees credit of Pinewood community college = $115

So, the total fees paid for (19 -w) hours  = (19 -w) x Fees per hour

= (19 -w) ( $115)  = $(2185 - 115 w)

⇒The fees Donna pays at Pinewood community college =$(2185 - 115 w)

Hence, the total fees paid by Donna

= Fees at Westside + Fees at Pinewood

= $ (98 w)  + $(2185 - 115 w)

= $(2185 - 17 w)

Hence, expression for the combined total dollar amount she paid for her class fees is $(2185 - 17 w)

8 0
4 years ago
If l = 65 cm and j = 33 cm, what is the length of k?
erastova [34]

Answer:

d=56

l=65, j=33

l^2 -j^2

65^2-33^2

4225-1089= 3136

√3136=56

7 0
3 years ago
Read 2 more answers
A rectangle has a height of 2y^3+52y
Aleonysh [2.5K]

Answer:do you have a photo available? It’s fine if not

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • ASAP plz it's a volume question<br><br>find the side x (it is a cube)
    5·2 answers
  • On the trip from Detroit to Columbus, Ohio, Mrs. Smith drove an average speed of 60 mph. Returning, her average speed was 55 mph
    5·2 answers
  • 6. Roy hit 3 less than 4 times the number of balls during baseball practice than Joe did. Together the boys hit 52 balls. How ma
    8·1 answer
  • Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $2,620, 3%, and 5 years.
    9·1 answer
  • What is 57 times 313​
    7·2 answers
  • What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?
    13·2 answers
  • Please help!! I don't know how to do this!!​
    11·1 answer
  • Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represen
    10·1 answer
  • Factorial expression! 2/4 8/6 Simplify as much as possible
    12·1 answer
  • Nick estimates that 50% of his income goes toward living expenses. Of the rest 50% goes to paying for his car and 25% of what is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!