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
dmitriy555 [2]
2 years ago
13

I need help on this problem in math

Mathematics
1 answer:
S_A_V [24]2 years ago
5 0

Answer:

  • correct answer is C
  • Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

  \dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}

__

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

  1/2(6 -x)  ⇒  3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

You might be interested in
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
agasfer [191]

Answer: use a slope calculator

-1/6

Step-by-step explanation:

4 0
3 years ago
What is 10000 more than 46952 and what is the missing<br> number
Morgarella [4.7K]
10000 more than 46952 is 56952
3 0
3 years ago
Read 2 more answers
−8x+6−2=−12<br> what is x?
zubka84 [21]

Answer: x=2

Step-by-step explanation:

have a good day! :)

plz give me brainliest

4 0
3 years ago
Read 2 more answers
X-2=3(x-4) what is the solution
Vladimir [108]
First distribute 3 to (x-4). that gives you 3x-12. Now your equation is x-2=3x-12. Now you subtract x from 3x. now you're equation is -2=2x-12. then add 12 to the left. You're final answer is 10.
8 0
3 years ago
Read 2 more answers
A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

And the margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

In this problem, we have that:

M = 0.04, p = 0.35

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

\sqrt{n} = 23.37

n = 546.2275

At least 547 records need to be studied.

6 0
3 years ago
Other questions:
  • What is the sum of the geometric sequence 1,3,9 if there are 10 terms
    15·2 answers
  • A store sells peanuts by the pound. Jerry paid 4.59 for 5.4 pounds of peanuts. At that rate, how much would he pay for 7.8 pound
    11·1 answer
  • What is the algebraic expression for the following word phrase: the sum of 8m and 3?
    5·1 answer
  • How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?
    5·2 answers
  • What types of solutions does this equation have
    12·1 answer
  • HURRY PLEASE
    8·2 answers
  • A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
    6·1 answer
  • .................................
    14·1 answer
  • Write the inequality for the graph shown in slope intercept form.
    13·1 answer
  • -50 = x/3+20 I NEEDDD HELPPPPPPOO
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!