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hram777 [196]
2 years ago
8

On Monday, the temperature at 10 a.m. at Sam’s house was –6° Fahrenheit. The

Mathematics
2 answers:
Alika [10]2 years ago
6 0

Answer:

8

Step-by-step explanation:

to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8

andrew11 [14]2 years ago
6 0
The temperature decreased by 8 degrees Fahrenheit.
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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
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Answer:

  •    Part 1: 25x ≥ 600
  •    Part 2: 15y ≥ 600
  •    Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

<u>1. Money earned by Jamie washing cars for $25 each</u>

   Let x represent the number of cars Jaime washes.

  •    25x

<u>2. Money earned by Stella  making pecan pies for $15 each</u>

   Let y represent the number of pies she makes

  •    15y

<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

  •    y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

  •    25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

  •    15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

  •    y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

  •  15y ≥ 600
  •    y ≥ 600 / 15
  •    y ≥ 40
  •    From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

  • y ≥ 40 ∩ y ≤ = 40 = 40.

  • Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

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3 years ago
Screenshot of the question attatched. please help me
Law Incorporation [45]
<h2>Rules of Exponents</h2>

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

<h3>The division rule</h3>
  • ⇒ \dfrac{a^n}{a^m}=a^{n-m}

<h2>Solving the Question</h2>

We're given:

z^{21}\div z^7=z^k (solve for k.)

⇒ Rewrite as a fraction:

\dfrac{z^{21}}{z^7}=z^k

⇒ Use the division rule:

z^{21-7}=z^k\\z^{14}=z^k\\14=k

Therefore, the value of <em>k</em> is 14.

<h2>Answer</h2>

<em>k</em> = 14

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