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
zloy xaker [14]
3 years ago
9

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

hborhood. He spent $18.50 of his total earning to buy a movie ticket and candy. Dan put of the remaining money in his savings account.
Dan used the following steps to find the total money he put in his savings account:

Step 1: [($42.75 ⋅ 4) + $52.45 − $18.50] ⋅

Step 2: [$171 + $52.45 − $18.50] ⋅

Step 3: 241.95 ⋅

Step 4: $80.65

In which step did Dan first make an error? Use words to explain how Dan can correct his error
Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
They made an error in step 2 which showed up in step 3. When adding those numbers, Dan should have gotten $223.45 and not $241.95
You might be interested in
Why do you have to flip where x is when you are doing porportions
Nitella [24]
You don't flip; you cross multiply proportions
5 0
3 years ago
Ayden earned a grade of 89% on his multiple choice history final that had a total of
Genrish500 [490]

Answer:

178

Step-by-step explanation:

Method 1: Set up a proportion

Set up an equation of the form:

\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=

whole

part

​  

=

\,\,\frac{\color{blue}{\text{percent}}}{100}

100

percent

​  

 

Assign the variable xx to the unknown value:

\color{red}{x}=

x=

\,\,\color{red}{\text{part}}

part

The question asks what \textit{part}part of the total questions is 89%

Substitute the known values with the numbers given in the problem, and the unknown value with xx:

\frac{\color{red}{x}}{\color{orange}{200}}=

200

x

​  

=

\,\,\frac{\color{blue}{89}}{100}

100

89

​  

 

Solve for xx:

100\cdot\color{red}{x}=

100⋅x=

\,\,\color{orange}{200}\cdot\color{blue}{89}

200⋅89

Cross multiply

\frac{100x}{100}=

100

100x

​  

=

\,\,\frac{17800}{100}

100

17800

​  

 

Divide both sides by 100

178

Simplify

Method 2: Convert to decimal and multiply

{89}{100}=0.89

89%=  

100

89

​  

=0.89

Move decimal 2 places to the left

{Multiply result by the total:}

Multiply result by the total:

0.89{200}=

0.89⋅200=

178

number

percent

178

89%

200

100%

4 0
3 years ago
Read 2 more answers
Mr. Saslow needs to buy a drink, chips and a sandwich for lunch. He has $15 to spend on his lunch. If
bixtya [17]

Answer:

a. d < 11

Step-by-step explanation:

4 + d < 15

d < 15 - 4

d < 11

6 0
2 years ago
What is greater 64kg or 64000g
Aleksandr [31]

Answer: neither

Step-by-step explanation: because 64 kg and 640000g are equal masses.

3 0
3 years ago
Read 2 more answers
Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equati
Brrunno [24]
Remember that <span>an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.
 
Lets solve our equation to find out what is the extraneous solution:
</span>\sqrt{x-3} =x-5
(\sqrt{x-3})^2 =(x-5)^2
x-3=x^2-10x+25
x^2-11x+28=0
(x-4)(x-7)=0
x-4=0 and x-7=0
x=4 and x=7
<span>
So, the solutions of our equation are </span>x=4 and x=7. Lets replace each solution in our original equation to check if they are valid solutions:
- For x=7
\sqrt{x-3} =x-5
\sqrt{7-3} =7-5
\sqrt{4} =2
2=2
We can conclude that 7 is a valid solution of the equation.

- For x=4
\sqrt{x-3} =x-5
\sqrt{4-3} =4-5
\sqrt{1} =1
1 \neq 1
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>
7 0
2 years ago
Other questions:
  • In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67 inches and a s
    7·1 answer
  • A recipe for lime salad dressing calls for 1/4 cup lime juice and 3/4 cup olive oil. How much lime juice would you use with 1 cu
    12·1 answer
  • An unknown number is multiplied by 3 and divided by -4. The result is -6.
    12·1 answer
  • Add. Write your answer in simplest form.<br> 2 5/6 + 3 2/5
    10·2 answers
  • Question 6 10
    5·1 answer
  • Please help!! Urgent matter!!
    6·1 answer
  • An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?
    8·1 answer
  • Hercules chopped 30 carrots in 15 minutes. Find his chopping rate in<br> carrots per minute
    14·2 answers
  • Which of the following is equivalent to C(16, 4)?<br> A. 12<br> B. C(16, 12)<br> C. C(15, 3)
    7·1 answer
  • Find the volume of a cone with a height of 11 cm and a base radius of 6 cm. Use the value 3.14 for n, and do not do rounding. Be
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!