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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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il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

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Amount = 2900\times (1.0275)^{2}

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Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

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8 0
2 years ago
In the following diagram \overline{DE} \parallel \overline{FG}
Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

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m<BAC = 180° - 149°

m<BAC = 31°

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7 0
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Answer:

A=B

Step-by-step explanation:

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Equation 2: 35% of B = 0.35a

Equation 3 = (Equation 2) • 2

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Equation 3 = Equation 1

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