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dalvyx [7]
1 year ago
10

Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 e

ach, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER
Mathematics
1 answer:
Arturiano [62]1 year ago
4 0

1.25x + 2.5y + 0.5z ≤ 28.5

is your inequality

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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

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As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

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Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

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Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

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 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

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 →  5x/5 = 10/5 ;

to get:

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 →  x = 2 .

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Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

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   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

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5 0
2 years ago
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finlep [7]

Answer:

22

Step-by-step explanation:

(a*b)-c

(4 * 6) - 2

24 - 2

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8 0
2 years ago
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olga nikolaevna [1]

Answer: (9ab^2+c^3)(9ab^2-c^3)

Step-by-step explanation:

81a^2b^4-c^6

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Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries.
Igoryamba

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

2:3::6:x

Product of extreme = Product of mean

2*x=3*6\\2x=18

Dividing both sides by 2

\frac{2x}{2}=\frac{18}{2}\\x=9

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Keywords: ratio, proportion, division

Learn more about division at:

  • brainly.com/question/10480770
  • brainly.com/question/10546617

#LearnwithBrainly

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Step-by-step explanation:

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