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
xz_007 [3.2K]
2 years ago
9

Mary is buying tickets for a movie.

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

  • adult ticket = x
  • child ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

<u>x = 10</u>

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

<u>y = 4</u>

∴ So, the number of each ticket was she bought is <u>10 adult ticket</u> and <u>4 child </u><u>ticket.</u>

You might be interested in
write an equation that is perpendicular to x - 3y =3 and passes through the point (5,-9) in slope-intercept form.
Aleksandr [31]

9514 1404 393

Answer:

  y = -3x +6

Step-by-step explanation:

The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.

The equation will look like ...

  x -3y = 3 . . . . . . . . . . . . . given line

  3x +y = constant . . . . . . perpendicular line

where "constant" can be found by substituting for x and y.

  3x +y = 3(5) +(-9)

  3x +y = 6 . . . . equation in standard form

To put this in slope-intercept form subtract 3x:

  y = -3x +6

6 0
3 years ago
How do you do this? I need help
sammy [17]

Answer:

percents to decimals

a) .02 b) .79 c) 1.35

Step-by-step explanation:

for converting percents to decimals you always move the decimal over to the left 2 times

6 0
3 years ago
Read 2 more answers
drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This mon
Kisachek [45]

Complete question is:

A large pool of adults earning their first drivers license includes 50% low- risk drivers, 30% moderate-risk drivers, and 20% high-risk drivers. Because these drivers have no prior driving record, an insurance company considers each driver to be randomly selected from the pool. This month, the insurance company writes 4 new policies for adults earning their first drivers license. What is the probability that these 4 will contain at least two more high-risk drivers than low-risk drivers?

Answer:

probability that these 4 will contain at least two more high-risk drivers than low-risk drivers = 0.0488

Step-by-step explanation:

Let H represent High risk

M represent moderate risk

L represent Low risk.

The following combinations will satisfy the condition that there are at least two more high-risk drivers than low-risk drivers: HHHH, HHHL, HHHM, HHMM

The HHHH case has probability 0.2 ⁴ = 0.0016

The HHHL case has probability 4 × 0.2³ × 0.3 = 0.0096 (This is because L can be in four different places)

Similarly, the HHHM case has probability 4 × 0.2 ³ × 0.5 = 0.016

Lastly, the HHMM case has probability 6 × 0.2 ² × 0.3 ² = 0.0216 (This is because the number of ways to choose places for two M letters in this way is 6)

Summing all these probabilities, we have;

0.0016 + 0.0096 + 0.016 + 0.0216 = 0.0488

5 0
3 years ago
Assured normally costs £42 if you receive a 15% discount how much change will you get from £50
vesna_86 [32]
5% of £42 = £2.10
10% of £42 = £4.20
15% of £42 = £6.30

£42 - £6.30 = £35.70

£50 - £35.70 = £14.30

the answer is £14.30

6 0
3 years ago
Read 2 more answers
Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th
sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

6 0
3 years ago
Other questions:
  • 4.16161616 as a mixed number?
    8·1 answer
  • A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga
    8·1 answer
  • Suppose you have $1,950 in your savings account at the end of a certain period of time. You invested $1,700 at a 6.88% simple an
    14·1 answer
  • HELP! WHOEVER ANSWERS FIRST I'LL NAME BRAINLIAST!!!<br>Part 1 Evaluate F(0)
    6·1 answer
  • A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
    9·1 answer
  • A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?​
    12·1 answer
  • How do we check if a solution is extraneous? Use these equations as examples to help you explain:
    8·1 answer
  • No one answering equations with variables on both sides plz help with all
    7·1 answer
  • Solve for a.<br> -4a – 2a – 7 = 11<br> a =<br> [?]<br> Not a fraction answer
    9·2 answers
  • Square A is smaller than Square B. Square B is smaller than Square C.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!