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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.

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Final Answer: x = 3 + \sqrt{2}, 3 - \sqrt{2}

Steps/Reasons/Explanation:

Question: Solve by using the quadratic formula:  x^{2}  - 6x + 7 = 0.

<u>Step 1</u>: Use the Quadratic Formula.

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3 years ago
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Likurg_2 [28]
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4 years ago
Divide n by 5 then add 6
algol [13]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves? (second
MissTica

Answer:

see below

Step-by-step explanation:

We can determine how much 12 ounces cost by using ratios

5 ounces       12 ounces

-------------- = -------------------

2.35                 x

Using cross products

5x = 12*2.35

5x = 28.2

Divide each side by 5

5x/5 = 28.2/5

x =5.64

If she has 10 dollars

5 ounces       y ounces

-------------- = -------------------

2.35                 10

5*10 = 2.35y

50 = 2.35y

Divide each side by 2.35

50/2.35 = 2.35y/2.35

21.27659574 =y

She can buy 21.3 ounces

7 0
3 years ago
Read 2 more answers
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