Ask question

Ask question

All categories

3 years ago

8

a tour-bus operator sold $1,517 worth of tickets for a trip to Niagara Falls. Each tickets cost the same amount and could be pai

d for with three bills. What was the cost of a ticket

1 answer:

prisoha [69]3 years ago

3 0

We will make use of the concept of prime factors for solving this question. The prime factors of 1517 are:

$1517=37\times 41$

So, as can be clearly seen the Niagara Fall tour operator can either sell 37 tickets for $41 each or 41 tickets for $37 each.

Now, we know that we cannot reach $37 using just three bills. Thus, the only option left to us is $41 which can be broken down into three bills of $20,$20 and $1. This satisfies our condition.

Thus the cost of a ticket was $41 and 37 such tickets were sold.

You might be interested in

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

$0.8x = 75$

Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

$y = 15 + 0.7x$

$85 =15 + 0.7x$

Collect like terms

$0.7x = 85 - 15$

$0.7x = 70$

Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

$x = 94$

$100 > 94$

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

brainly.com/question/20286983

5 0

3 years ago

Read 2 more answers

Makovka662 [10]

Answer:

Option A ( -3/2 , $\frac{-3\sqrt{3} }{2}$ )

Step-by-step explanation:

According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .

Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation

Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)

(For Diagram, Please Find in attachment)

Now In Triangle OAB

Cos60* = OA / OB

1/2 = -X / 3 Thus X= -3/2

Sin60* = AB / OB

$\sqrt{3}$ /2 = -Y / 3 Thus Y = - $\sqrt{3}$ * 3 /2

6 0

3 years ago

How do you do this? question this is a future value formula

dybincka [34]

%60 because i dont know why actually

5 0

3 years ago

An elevator has a placard stating that the maximum capacity is 23252325 lblong dash—1515 passengers. So, 1515 adult male passen

alexgriva [62]

Answer:

0.7734; no, it does not.

Step-by-step explanation:

To find this probability we will use a z-score. We are dealing with the probability of a sample mean being larger than a given value; this means we use the formula

$z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}$

Our x-bar in this problem is 155, as that is the sample mean we are trying to find the probability of. Our mean, μ, is 161 and our standard deviation, σ, is 31. Our sample size, n, is 15. This gives us

$z=\frac{155-161}{31\div \sqrt{15}}=\frac{-6}{8.0042}=-0.75$

Using a z table, we see that the area under the curve less than this, corresponding with probability less than this value, is 0.2266. This means that the probability of the sample mean being larger than this is

1-0.2266 = 0.7734, or 77.34%.

Since there is a 77.34% chance of the passengers having a mean weight that is too heavy, this elevator is not safe.

8 0

3 years ago

Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x -

andrezito [222]

The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

<h3>what is the graph of logarithmic function?</h3>

The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right

if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.

Given graph : y = ln(x), has a vertical and horizontal translation.

As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.
If ln(x + k), then the graph is translated left k units.
If ln(x) + h, then the graph is translated up h units.
If ln(x) - h, then the graph is translated down h units.

Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

Learn more about this concept here:

brainly.com/question/9832306

#SPJ1

8 0

2 years ago