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Rudik [331]
3 years ago
8

B. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

Five adult tickets and two child tickets cost $47: 5x + 2y = 47

Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

-19y/3 = -38

-19y = -114

.: y = 6

Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

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Step-by-step explanation:

3 0
3 years ago
antoine went on vacation to las vegas. his room cost 115.62 each night. his flight there cost $45.70 and his flight. was32.49. h
kenny6666 [7]
Hotel

He stayed 3 nights, so $115.62 × 3 = $346.86

Airfare

$45.70 + $32.49 = $78.19

Food

He averaged $15 a day, and he stayed 4 days.

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4 0
3 years ago
3<br> -<br> 5 <br><br> A. 0.6<br><br> B. 3.5 <br><br> C. 1.667<br><br> D. 0.65
kodGreya [7K]

Answer:

A 0.6

Step-by-step explanation:

the fraction is 3/5 so if you do the eqation 3 divided by 5 u will get 0.6

8 0
4 years ago
Read 2 more answers
Would appreciate the help
raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

 then the measure of the angle between them is half the difference

 of the measures of their intercepted arcs

* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

  the circle

∴ The measure of the angle between them = 1/2 the difference of the

  measures of their intercepted arcs

∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

∵ The measure of the large arc is 100°

∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0
3 years ago
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