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Mariana [72]
3 years ago
5

Antonio’s weekly allowance is given by the equation A=0.5c+10, where c is the number of chores he does. If he received $16 in al

lowance one week, how many chores did he do?
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0
A=0.5(12)+10= 16. Antonio has 12 chores.
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The flash of lightning travels at the speed of light, which is about 186,000 miles per second. The sound of lightning (thunder)
4vir4ik [10]

Answer:

A.  <u>Distance of the lightning after 4 seconds = 744,000 miles</u>

<u>B. Distance of the lightning after n seconds = 186,000 * n</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of lightning = 186,000 miles per second

Speed of sound = 750 miles per hour

2. A.  If you see a flash of lightning, then hear the thunder 4 seconds later, how far away is the lightning?

Distance of the lightning after 4 seconds = 186,000 * 4

<u>Distance of the lightning after 4 seconds = 744,000 miles</u>

<u>B. Now let’s generalize that result. Suppose it takes n seconds to hear the thunder after a flash of lightning. How far away is the lightning, in terms of n?</u>

<u>Distance of the lightning after n seconds = 186,000 * n</u>

4 0
3 years ago
HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!
Rama09 [41]

Answer:

m∠LMN = 29°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Set up equation</u>

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    7x + 2 = 107
  2. Isolate <em>x</em> term:                              7x = 105
  3. Isolate <em>x</em>:                                       x = 15

<u>Step 3: Find m∠LMN</u>

  1. Define:                    m∠LMN = (2x - 1)°
  2. Substitute in <em>x</em>:       m∠LMN = (2(15) - 1)°
  3. Multiply:                  m∠LMN = (30 - 1)°
  4. Subtract:                 m∠LMN = 29°
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3 years ago
Write the equation of the line that passes through the point (–6, 2) and is parallel to the line whose equation is x = –10, then
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The gradient of the second line is zero since parallel lines have equal gradients;
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