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3 years ago

I need to explain/show work. Help please

Mathematics

1 answer:

Fittoniya [83]3 years ago

5 0

Answer:

adult tickets = 17, children tickets = 9

Step-by-step explanation:

Let x be the number of children and y the number of adults

Then given that 26 tickets are sold, we can write

x + y = 26 → (1)

Given that ticket cost was $194 we can write

5.5x + 8.5y = 194 → (2)

Rearrange (1) expressing y in terms of x by subtracting x from both sides

y = 26 - x → (3)

Substitute y = 26 - x into (2)

5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side

5.5x + 221 - 8.5x = 194

- 3x + 221 = 194 ( subtract 221 from both sides )

- 3x = - 27 ( divide both sides by - 3 )

x = 9

Substitute x = 9 into (3) for corresponding value of y

y = 26 - 9 = 17

Hence number of adult tickets sold = 17

number of children tickets sold = 9

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two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each

padilas [110]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

So there were 150 tickets to sit on a bench and 350 - 150 = 200 tickets to sit on the lawn.

5 0

3 years ago

X^3 - y^3 = 218 where x and y are positive integers. Find x+y

finlep [7]

The value of x + y is 12

<h3>How to solve for x + y?</h3>

The equation is given as:

x^3 - y^3 = 218

Make x^3 the subject

x^3 = 218 + y^3

The next cubic expression greater than 218 is 343.

So, we assume

x^3 = 343

This gives

x = 7

Substitute x^3 = 343 in x^3 = 218 + y^3

343 = 218 + y^3

Evaluate the like terms

y^3 = 125

This gives

y = 5

So, we have:

x + y = 7 + 5

Evaluate

x + y = 12

Hence, the value of x + y is 12

Read more about equations at:

brainly.com/question/2972832

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8 0

2 years ago

15x-7=13x+3<br>(please help)

Katena32 [7]

Answer:

the answer is x=5

Hope this helps :)

3 0

3 years ago

Please answer this correctly

Stels [109]

Answer:

1/64

Step-by-step explanation:

The probability of landing on a 7 is 1/8.

The probability of landing on a 2 is 1/8.

$1/8 \times 1/8$

$= 1/64$

7 0

3 years ago

Read 2 more answers

write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)

AfilCa [17]

Answer:

The answer to your question is y = 4/3x + 1/3

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2 y1 = 3

x2 = 5 y2 = 7

m = (y2 - y1)/(x2 - x1)

- Substitution

m = (7 - 3)/(5 - 2)

- Slope

m = 4/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 3 = 4/3(x - 2)

y - 3 = 4/3x - 8/3

y = 4/3x - 8/3 + 3

y = 4/3x - 8/3 + 9/3

y = 4/3x + 1/3

8 0

3 years ago