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
melisa1 [442]
3 years ago
8

Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. Th

e system of equations models this situation, where x is the number of adults and y is the number of children.
x+y=12
14x+10y=140
How many adults and how many children were in the group?

A.
5 adults and 7 children

B.
6 adults and 6 children

C.
7 adults and 5 children

D.
8 adults and 4 children
Mathematics
1 answer:
hjlf3 years ago
8 0
 x is the number of adults and y is the number of children.
   x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
You might be interested in
For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hi
larisa [96]

Answer: a) (0.99)^4

Step-by-step explanation:

Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.

Each of the four systems detects theft with a probability of .99 independently of the others .

Probability for independent events (E_1 , E_2 , E_3 , ....., E_n) occurs together =  P(E_1)\times P(E_2)\times P(E_3)\ .....\times P(E_n).

Then, the probability that when a theft occurs, all four systems will detect it

= (0.99) x (0.99) x (0.99) x (0.99)

= (0.99)^4

Hence, the probability that when a theft occurs, all four systems will detect it is (0.99)^4 .

Hence, the correct answer is a) (0.99)^4 .

5 0
3 years ago
Allowance method entries
Feliz [49]

Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:

1. <u>Allowance for Doubtful Accounts</u>

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance          $56,500

Dec. 31 Bad Debts Expenses                   $55,470

Totals                                        $116,005  $116,005

<u>Accounts Receivable</u>

Accounts                                          Debit               Credit

Jan. 1 Beginning balance           $2,290,000

Jan. 19 Allowance for Doubtful           2,560

Jan. 19 Cash                                                            $2,560

Apr. 3  Allowance for Doubtful                                14,670

July 16  Allowance for Doubtful                              19,725

July 16  Cash                                                             6,575

Nov. 23  Allowance for Doubtful         4,175

Nov. 23 Cash                                                             4,175

Dec. 31  Allowance for Doubtful                             25,110

Dec. 31   Sales Revenue            8,020,000

Dec. 31   Cash                                               $8,944,420

Dec. 31 Ending balance                                 $1,299,500

Totals                                        $10,316,735 $10,316,735

3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)

Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)

<u>Allowance for Doubtful Accounts</u>

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance           $40,100

Dec. 31 Bad Debts Expenses                  $39,070

Totals                                        $99,605   $99,605

4. a. Bad Debt Expense for the year = $39,070

4.b. Balance for Allowance Accounts = $40,100

4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)

Data Analysis:

Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560

Jan. 19 Cash $2,560 Accounts Receivable $2,560

Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670

July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300

Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175

Nov. 23 Cash $4,175 Accounts Receivable $4,175

Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110

Accounts Receivable ending balance = $1,299,500

Allowance for Uncollectible Accounts ending balance = $56,500

Learn more: brainly.com/question/22984282

4 0
3 years ago
Find two numbers that round 15.5 to the nearest tenth
Hoochie [10]
15.49 and 15.48 any number below 15.50 and above 15.45 will round up to 15.5
5 0
4 years ago
HELP ASAP
Liula [17]

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

7 0
3 years ago
Read 2 more answers
Please helpp i need this doneee :((
egoroff_w [7]

Answer:

w = \frac{5}{8}, v = \frac{21}{2}

Step-by-step explanation:

With given information, we have \frac{TR}{TQ} = \frac{TS}{TP}, so \frac{5}{13} = \frac{3w}{3w+3}, which gives us w=\frac{5}{8}. Meanwhile, we have \frac{TR}{TQ}=\frac{RS}{QP}, so \frac{5}{13}=\frac{10}{2v+5}, which gives us v = \frac{21}{2}.

6 0
3 years ago
Other questions:
  • Someone please help me!
    11·1 answer
  • Gary tried to solve an equation step by step.
    6·2 answers
  • A color printer prints 27 pages in 9 minutes. how many pages does it print per minute?
    15·1 answer
  • What is the greatest common factor of 56 and 49?
    13·2 answers
  • A student model the relationship in the table with the equation x = 4y. Explain the student's error. Write and equation that cor
    15·1 answer
  • Literal equation S=2 (lw+lh+wh) solve for w
    9·1 answer
  • A baseball pitcher has 60 2/3 innings. what is the number of innings written as a decimal?
    15·1 answer
  • The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the
    15·1 answer
  • 4250cm ........... m?​
    9·2 answers
  • Plzzzzzzz helppppppppppppp
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!