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
shepuryov [24]
3 years ago
14

A hotel offers two activity packages. One costs $192 and includes 3 h

Mathematics
1 answer:
poizon [28]3 years ago
3 0

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

<span>     2(3x + 2y = 192)</span>

+ -3(2x + 3y = 213)

<span>              -5y = - 255</span>

y = $ 51

Substitute y :

3x + 2y = 192

3x + 2(51) = 192

<span>x = $ 30
</span>


<span>Hope this answer will be a good help for you.</span>

You might be interested in
120 millones en notación científica
Illusion [34]

Answer:

120000000

Step-by-step explanation:

7 0
3 years ago
What is the answer if 202^2 base3 - 112^2 base3?
yuradex [85]

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3

6 0
3 years ago
If you bet $1 that a sum of 5 will turn up, what should the house pay (plus returning your $1 bet) if a sum of 5 turns up in ord
erma4kov [3.2K]

Here is the complete question.

1). What are the odds for rolling a sum of 5 in a single roll of two fair dice?

2). If you bet $1 that a sum of 5 will turn up, what should the house pay (plus returning your $1 bet) if a sum of 5 turns up in order for the game to be fair?

Answer:

1).  \frac{1}{8}

2).  $8.

Step-by-step explanation:

1).

The sample space (S) for rolling two fair dice is given as the following parameters illustrated below:

\left[\begin{array}{cccccc}(1,2)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\end{array}\right] \left[\begin{array}{cccccc}(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}\right]

Let F represent the event that the sum of both dice turns up is 5.

F = [(1,4),(2,3),(3,2),(4,1)}

∴ The probability for an event F  is illustrated below as:

\frac{P(F)}{P(F')}  =\frac{\frac{4}{36} }{1-\frac{4}{36} }

=\frac{\frac{4}{36} }{\frac{32}{36} }

={\frac{4}{36}}*\frac{36}{32}

= \frac{1}{8}

2). From above, we can see that the probability for rolling a sum of 5 are 1 to 8. Therefore, if you roll a sum of 5, in order for the game to be fair, the house is required to pay $8.

5 0
3 years ago
Find f(-5) × f(-3) f(x) = - x - 12
AnnZ [28]

Answer:

63

Step-by-step explanation:

Step 1: Define

f(x) = -x - 12

f(-5) is x = -5

f(-3) is x = -3

Step 2: Find f(-5)

f(-5) = -(-5) - 12

f(-5) = 5 - 12

f(-5) = -7

Step 3: Find f(-3)

f(-3) = -(-3) - 12

f(-3) = 3 - 12

f(-3) = -9

Step 4: Find f(-5) × f(-3)

-7 × -9

63

3 0
3 years ago
What is 29 tenths written as a decimal?
alexandr402 [8]
29 tenths

29  1/10

29/10 = 2.9

2.9 is your answer

hope this helps
5 0
4 years ago
Other questions:
  • Fill in the blank. Through any two points there is/are exactly ____ line(s).
    11·2 answers
  • the distance in miles,y, traveled by a car in x hours can be shown by the equation y=55x. What is the slope of the equation? Wha
    9·1 answer
  • Define variability in math. (May have a few more questions, and will appreciate your help!!)
    10·2 answers
  • Is 0.75 greater than 0.6
    10·2 answers
  • Which graph is a function of X? Explanation, please?
    13·2 answers
  • 8 A test rocket is fired and follows a path described by y = 0.1x(200 – x). The height is y metres above
    8·1 answer
  • Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and f
    12·2 answers
  • A town's population went from 16,000 to 36,600 in 9 years. What was the percent of change?
    6·1 answer
  • Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine p
    6·1 answer
  • 16.A company sells calculators for $35 each. Businesses
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!