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Aneli [31]
2 years ago
8

Mrs hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each chil

d ticket. Mrs hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Mrs hernandez can purchase
Mathematics
1 answer:
Maurinko [17]2 years ago
4 0

Answer:

The inequality is

10+7x\leq 4010+7x≤40

Step-by-step explanation:

Let

x-----> the number of child tickets

we know that

10+7x\leq 4010+7x≤40 -----> inequality that represent the situation

Solve for x

7x\leq 40-107x≤40−10

7x\leq 307x≤30

x\leq 4.3x≤4.3

The maximum number of child tickets is 4

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Here are a few rules you need to know for this equation:

  • Multiplying exponents of the same base: x^m\times x^n=x^{m+n}
  • Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  • Turning a negative exponent to a positive one: x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m

So this is our algebraic expression: \frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}

Firstly, multiply 3^-4 and 3^2: \frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}

Next, divide:

\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}

Next, turn the negative exponent into a positive one: 3^12^{-1}= \frac{3}{2}

<u>Your final answer is 3/2, or 1.5.</u>

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