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
son4ous [18]
3 years ago
6

Write a system of equations for the following situation:

Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Option \ second \ is \ correct .}}}

<h3 /><h3><u>Step-by-step explanation:</u></h3>

Given that , a group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for thegroup was $59.

<u>Let</u><u> </u><u>:</u><u>-</u>

\implies \bf No. \ of \ adult \ be \ denoted \ by \ a.  \\\\\bf \implies No . \ of \ Children \ be \ denoted \ by \ c .

Since the total number of people in group is 10 . Then ,

\implies \bf n_{adult} + n_{children} = 10 \\\\\bf\implies \boxed{\bf a + c = 10 }

Now , the cost for an adult is $8 and for a child is $5. Hence ,

\bf\implies n_{adult}\times cost_{adult} + n_{child}\times cost_{child} = Total \ cost \\\\\bf \implies a \times \$ 8 + c \times \$ 5 = \$ 59 \\\\\bf\implies \boxed{\bf 8a + 5c =\$ 59 }

Hence our overall answer matches with second option .That is ,

\red{\bf Option \ 2 } \begin{cases} \bf a + c = 10 \\\\\bf 8a + 5c = 59 \end{cases}

<h3><u>Hence</u><u> </u><u>second</u><u> </u><u>option</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u></h3><h3 />
wariber [46]3 years ago
5 0

Answer: B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

You might be interested in
Select the correct answer.<br> Which of these is not a key feature of the function
kkurt [141]

Answer:

what is the answer to this question?

Step-by-step explanation:

7 0
3 years ago
Which one don’t lie!!!
Travka [436]

Answer:

A

Step-by-step explanation:

m=y2-y1/x2-x1

4-2=2

6-3=3

2/3

hope this helps =3

7 0
2 years ago
Read 2 more answers
What is the distance petween points (5,5) and (1,5) enter the units in the box
goldenfox [79]
(5,5) - (1,5) = (4,5) is the answer
5 0
3 years ago
What is the same as 2/3
Paul [167]

Answer:

4/6 and 6/9 us simlar as 2/3

7 0
2 years ago
Read 2 more answers
What is x???????????
Aloiza [94]

Answer:

17

Step-by-step explanation:

6^2 + y^2 = 10^2

36 + y^2 = 100

y^2 = 64

y = 8

y^2 + 15^2 = x^2

64 + 225 = x^2

289 = x^2

x = 17

3 0
2 years ago
Other questions:
  • Please help with this question.
    14·1 answer
  • What would 24 above 28 be??
    8·2 answers
  • Would like to know the answer
    15·1 answer
  • How does dividing mixed numbers compare with dividing fractions?​
    6·1 answer
  • George bought 4 Submarine sandwiches for birthday party if each person will eat 2/3 of a sandwich how many people King George fe
    15·1 answer
  • Is 4/6 bigger than 2/3
    13·2 answers
  • Help please! which of the following represents two dependent events .
    15·1 answer
  • What is the probability of spinning the pointer on the spinner below and getting a 2 or 4
    9·1 answer
  • Whats the slope of the line?
    10·1 answer
  • Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the form
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!