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weeeeeb [17]
3 years ago
15

The fairy tale spectacular is coming to town. Admission to the fair costs $42.50 and each ride costs $.65. You have $60 to spend

at the fairy tale spectacular including admission.
Part A: write an inequality that represents this situation.
Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.
Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Part A: 42.50+0.65x<60

Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.

Step-by-step explanation:

Given,

Admission cost to fair = $42.50

Cost of each ride = $0.65

Amount you can spend = $60

Let,

x be the number of rides you can take.

Admission fair + Cost of each ride*number of rides < Amount you can spend

Part A: write an inequality that represents this situation.

42.50+0.65x<60

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.

42.50+0.65x

Dividing both sides by 0.65

\frac{0.65x}{0.65}

Rounding off to nearest whole number;

x<27

Less than 27 means, you cannot take 27 rides, therefore,

You can enjoy maximum 26 rides at the fairy tale spectacular.

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/10629017
  • brainly.com/question/10633485

#LearnwithBrainly

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A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?
aleksley [76]

Answer:

  1. The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

  • The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

<u>An= 14n-31</u>

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

<u>Therfore, the 14th term is 165.</u>

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

<u>solution</u>

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

<u>The first term is given by G1=600</u>

  • Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

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Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 an
LUCKY_DIMON [66]

The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.

Option B shows the correct equation of inequality to write the time taken to complete the work.

<h3>What is inequality?</h3>

Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,

Oliver = 4 and one-fourth hours

Karissa = K hours

As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,

Oliver \leq 2 Karissa

4\dfrac {1}{4} \leq 2K

Hence Option B shows the correct equation of inequality to write the time taken to complete the work.

To know more about inequality, follow the link given below.

brainly.com/question/363094.

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2 years ago
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Natalka [10]

Answer:

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Step-by-step explanation:

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Rachel and her friends are making necklaces out of beads and straws. They plan to use 12 beads and 5 straws for each necklace. T
bagirrra123 [75]

Answer:

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Step-by-step explanation:

Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.

t = b/12  ... where t is the total amount of necklaces and b is the number of beads you have

t = 2700 / 12

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For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.

3 0
4 years ago
PLS HELP! Tanisha is planning a party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Ta
Fittoniya [83]
Shee needs 448 ounces of lemonade.

448 ÷ 80 =5.8
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80 ounces of lemonade needed 8 lemons.
448 ounces of lemonade needed 8 x 5.6 = 44.8 lemons.

Tanisha has 38 lemons. 
She does not have enough lemons.
She needs 44.8 - 38 = 7 more lemons.

Answer: <span>Tanisha needs more lemons. She needs 7 more.</span>
4 0
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