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lidiya [134]
3 years ago
8

Use the distributive property to help you solve the equation. - 6(t + 2) = 18 t=

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

t = -5

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-6(t + 2) = 18

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

  1. [Distributive Property] Distribute -6:                                                             -6t - 12 = 18
  2. [Addition Property of Equality] Add 12 on both sides:                                 -6t = 30
  3. [Division Property of Equality] Divide -6 on both sides:                                t = -5
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The price of a pair of pants is $29.95 and the sales tax is 5%.
Vika [28.1K]

Answer: $31.45

Step-by-step explanation:

Given : The price of a pair of pants is $29.95.

The sales tax is 5% = 0.05

Required formula :

Total cost = Price + sales tax percent × Price

Total cost= Price (1+Sales tax percent)

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3 years ago
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2 years ago
you know that the sum of -5 and another integer is a positive integer.what can you conclude about the sign of the other integer?
denis-greek [22]
-5 + x = +

adding/subtracting numbers with same/different signs : if the signs are the same, whether both negative or positive, then the answer will contain the same sign.
Example : -2 + (-2) = -2-2 = -4 : both signs are negative, the sign stays negative.
5 + 5 = 10 : both signs are positive, the sign stays positive.
However, if the signs are different, u subtract the smallest number from the largest number and take the sign of the larger number.
Example : -2 + 5 = 3...I took 5 - 2..which is 3, and took the sign of the largest number (+)...so the answer is 3.
-5 + 2 = -3....I took 5 - 2 and got 3, but used the larger number sign (-) making the answer -3.

now for ur question....u can conclude that the sign of the other integer would have to be positive. As for the value, in order for the answer to be positive, the integer would have to be larger then + 5.
Example :
-5 + 6 = 1
-5 + 7 = 2
if u picked a positive number smaller then 5...
-5 + 4 = -1
-5 + 3 = -2
u would not get a positive result.
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