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
Ivan
3 years ago
6

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel

from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?
Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

List all the different combinations with total cost:

Airplane  + van = 350 + 60 = $410

Airplane  + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

You might be interested in
You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc
Bezzdna [24]

175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.

Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45

Solve for <em>v</em> :

43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)

43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>

0.25<em>v</em> = 35 mL

<em>v</em> = 140 mL

5 0
3 years ago
40. Find UW.<br> T<br> 6<br> 5<br> U +-<br> The measure of UW is<br> type your answer...
Ahat [919]

Answer:

9

Step-by-step explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0  or  x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9

7 0
3 years ago
Write an equation in slope-intercept form that represents the situation:
BartSMP [9]

Answer:

<h2>          y = 3.5x + 15</h2>

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

6 0
3 years ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
liberstina [14]
This is a very long question br0(3b)Y=
5 0
1 year ago
Can someone help me with this question?
stiks02 [169]

5x−2(x+1)=14 ​

distribute

5x -2x-2 =14

3x-2 = 14

add 2 to each side

3x = 16

divide by 3

x=16/3

Answer x=16/3 or 5 1/3

7 0
3 years ago
Other questions:
  • The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
    9·2 answers
  • Harmony baked 24 cookies with 4 scoops of flour. How many scoops of flour does Harmony need in order to bake 36 cookies? Solve u
    8·2 answers
  • 7p-(3p+4)= -2 (2p-1)+10
    13·1 answer
  • What are the zeros of r(p) = -p2 + 14p?
    15·1 answer
  • A(3,0), B(2,7) , C(6,4)<br> What is the slope of line AC
    12·1 answer
  • If (x)=4x^3+1, then what is the remainder when f(x) is divided by x-5?
    15·1 answer
  • Write equivalent fractions for 2 4/5 and 2 2/3 using a common denominator.
    12·2 answers
  • What's 99 + 1 ÷2 ×3 -4 =?
    13·2 answers
  • What is the point estimate for the number of cars sold per week for a sample consisting of the following weeks: 1, 3, 5, 7, 10,
    14·1 answer
  • Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!