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kakasveta [241]
2 years ago
13

It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole

can play if he has $35 to spend at the park. Enter your answer in the box.
Mathematics
2 answers:
Mumz [18]2 years ago
7 0

Answer:

Cole can play only 15 games if he has $35 to spend at the park

Step-by-step explanation:

The sum of money Cole has with him as he goes to the park is $35.

As he goes to the park, 12.5 dollars is taken from him at the gate, leaving him with only $35 - $12.5 = $22.5

He now has only $22.5 to play games.

If each game costs $1.5 then he will be able to play \frac{22.5}{1.5} games = 15 games only.

Hence, Cole will be only able to play 15 games if he goes to the park with $35

Naya [18.7K]2 years ago
3 0

Answer: he can play at most, 15 games at the park

Step-by-step explanation:

Let g represent the number if games that Cole can play.

It costs $12.50 to enter an amusement park and $1.50 to play each game. It means that the total cost of entering the amusement park and playing g games is

12.5 + 1.5g

if he has $35 to spend at the park, then the inequality representing the number of games that he can play is

12.5 + 1.5g ≤ 35

1.5g ≤ 35 - 12.5

1.5g ≤ 22.5

g ≤ 22.5/1.5

g ≤ 15

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Alexxx [7]

Answer: The first machine would cost $420

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you should buy the first machine

Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.

Machine 1:  600(.70) = 420

Machine 2:  A 10% discount means you pay 90%

600(.90) = 540   But now you get a 20% discount on that amount, which means you would pay 80%

So, 540(.80) = 432

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1 year ago
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UkoKoshka [18]

Answer: sin11x

step by step solution :

6 0
1 year ago
Three cats and three dogs, A, B, C, D, E, and F, live on a street in three different-coloured houses. Each house hosts one cat a
vaieri [72.5K]

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

5 0
1 year ago
A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional
Illusion [34]

Answer:x=46

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year =holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}

Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year

yearly ordering cost=400x+3\times \frac{211600}{x}

Total cost C(x)=\frac{211600}{x}+400x+3\times \frac{211600}{x}

differentiate C(x) w.r.t to x we get

\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}

Put \frac{\mathrm{d} C(x)}{\mathrm{d} x}=0 to get max/min value

400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0

x^2=\frac{211600}{100}

x=\sqrt{2116}

x=46

therefore 46 runs must be performed

5 0
1 year ago
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
tester [92]

Answer:

Since angle G is  

✔ the largest

 angle, the opposite side, JH, is  

✔ the longest side

. The order of the side lengths from longest to shortest is  

✔ HJ, GH, and GJ

.

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
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