The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. Write and solve an inequality to determine the maximum number of rides you can enjoy at the Fairy Tale Spectacular?

Answers

Answer 1
Answer:

Answer:21

Step-by-step explanation:

50-32.5=17.5

17.5/0.8=21.875


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One positive number is 5 times another number. The difference between the two numbers is 200, find the numbers.

Answers

x = 5y, where x > 0 and y > 0;
x - y = 200 => 5y - y = 200 => 4y = 200 => y = 200/4 => y = 50 => x = 250.

Ii dont understand how to solve a system of linear equations using the substitution method

Answers

so 8x-7y=-7
-16+12x=14
you can simplify the sceon equation
-8+6x=7
add 8 to both sides
6x=15
divide by 6
x=15/6
subssitute
8(15/6)-7y=-7
120/6-7y=-7
20-7y=-7
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-7y=-27
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Solve 2cos2x + cosx − 1 = 0 for x over the interval [0, 2pi ).

Answers

The solution of 2cos2x + cosx − 1 = 0 is x=\pi.

What is a Trigonometric equation?

A Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles.

How to solve?

2cos2x + cosx − 1 = 0

-3+\cos \left(x\right)+4\cos ^2\left(x\right)=0

\cos \left(x\right)=(3)/(4),\:\cos \left(x\right)=-1

And now,

x=\pi +2\pi n

Which is only x=\pi.

Learn more about Trigonometric equations:

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a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.

Answers

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

Two fair six sided dice are thrown.
Find the probability that both dice land on 6

Answers

Two dice ⇒ 6*6=36 possible results
Both dice land on 6 ⇒ 1 possibility

P=1/36

Which set of ordered pairs has point symmetry with respect to the origin (0,0) 1- (-12,5), (-5,12)
2- (-12,5), (12,-5)
3- (-12,5), (-12,-5)
4- (-12,5), (12,5)

Answers

(x;\ y)\xrightarrow {S_((0;0))}(-x;-y)\n\n(-12;\ 5)\xrightarrow{S_((0;0))}(12;-5)\n\nAnswer:2