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
Reptile [31]
3 years ago
14

The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off of all

entry tickets during the off-peak season. The Sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket.
194 = 1/2x + 2(x - 8)

What is the regular price of a child's ticket?

$68

$76

$84

$89
Mathematics
1 answer:
valkas [14]3 years ago
3 0
<span>194 = 1/2x + 2(x - 8)
194 = 1/2x + 2x - 16 = 5/2x - 16
5/2x = 194 + 16 = 210
5x = 210 x 2 = 420
x = 420/5 = 84

Therefore, the regular price of a child's ticket is $84 - $8 = $76.
</span>
You might be interested in
Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

3 0
3 years ago
Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of p
olganol [36]
2 peach pies = 10 cups 10 divided by 2(peach pies) = 5 cups per pie.
so we need to make 9 pies. so now basic math 9x5= 45, so 45 cups for 9 peach pies.
6 0
2 years ago
Read 2 more answers
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
F divided by 2 = 5/8
Vedmedyk [2.9K]

Answer:

1.25

Step-by-step explanation:

5 0
2 years ago
Solve the equation f/6= 2.5
dezoksy [38]

Answer:

f=15

Step-by-step explanation:

f/6=2.5

f=2.5*6

f=15

3 0
3 years ago
Other questions:
  • Lexi jarred 12 liters of jam after 4 days. How many days did Lexi spend making jam if she jarred 15 liters of jam? Assume the re
    15·1 answer
  • Which inequality represents the following situation: You have $120 to purchase CDs for your birthday. The CDs cost $12 each. Wha
    9·1 answer
  • Please help me . I am trying to do cancellation but i am having trouble
    14·1 answer
  • Why is a 99 confidence interval wider than a 95 confidence interval?
    9·1 answer
  • Can someone pls help with all 4
    11·1 answer
  • When looking at the results of a 99% confidence interval, we can predict what the results of the two-sided significance test wil
    11·1 answer
  • URGENT HELP !!!!!! Answer correctly !!!!!!!!!!!! Will be marking brainliest !!!!!!!!!!!!!!
    6·1 answer
  • ________ probability is based on a uniform probability. Ask yourself: What SHOULD happen when you conduct an experiment?
    12·1 answer
  • How many pounds of blueberries can u buy for 1.00
    11·2 answers
  • Write the converse of the following statement. Then determine its validity.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!