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
Alchen [17]
3 years ago
15

Which shows a correct order to solve this story problem? Kent and Curtis went to the state fair. They had to pay a total of $7.1

8 sales tax on everything they bought. They spent $22.50 for each admission ticket and $35.50 altogether for food. They split all the costs evenly. How much did each boy pay? A. Step 1: Calculate the price of 2 admission tickets. Step 2: Add that amount to the amount spent on food and the tax. Step 3: Divide by 2. B. Step 1: Double the amount for 1 admission ticket. Step 2: Take half of the amount spent on food and add the total from Step 1 plus the tax. Step 3: Divide by 2. C. Step 1: Add $22.50 and $35.50. Step 2: Divide the total by 2. Step 3: Add the amount of the tax.
Mathematics
1 answer:
KiRa [710]3 years ago
6 0
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:

S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people

We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:

Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer

Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.

Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
You might be interested in
Please help :3<br><br> Select EACH correct answer
Dmitriy789 [7]

You didn’t give the question

4 0
3 years ago
Which equation does the graph of the systems of equations solve?
Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0
3 years ago
Need help with this please
aleksandrvk [35]

Answer: 9 cm

Step-by-step explanation:

By multiplying 5 by 3, you get 15. this would also apply to finding the other side of the rectangle, where you multiply 3 by 3 to get 9.

7 0
3 years ago
Please help me with this homework
algol13
Yes, you got it right
4 0
3 years ago
When you divide with negative exponents, you divide the rational numbers like normal and then you add the exponents.
Doss [256]

Answer:

the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Factor the polynomial using the pattern.<br> x2 + 15x + 56
    13·1 answer
  • How to put 5.5÷5 in a model
    8·1 answer
  • Evaluate: 2x +3y = 4 -7x + 3y = -1
    5·1 answer
  • Find the mode of the following data 1,2,1,1,3,2,2,2​
    9·1 answer
  • Simplify the expression show all of your work 3+5 squared -9÷3×4= Please help
    9·2 answers
  • What is my fav color/ what is statistical and non statistical
    12·1 answer
  • Lilly bought 4 pairs of blue jeans at $32 each. How much money did she pay the clerk?
    5·1 answer
  • 4p + 1 &gt; −7 or 6p + 3 &lt; 33?<br><br><br><br> how do I solve this
    8·1 answer
  • Simplify 5 – 2y + (-8y) + 5.5.
    5·2 answers
  • Who is kin to you?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!