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Artemon [7]
3 years ago
8

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $17.35. James ordered a medium dri

nk, a hamburger, and medium fries and paid $6.09. Steven ordered 2 hamburgers, medium fries, and a medium drink for $9.34. How much did each item cost?
Mathematics
1 answer:
Airida [17]3 years ago
6 0
Know: 17.35 is equivalent to 4 burgers 3 med fries
6.09 Is equivalent to 1 burger med fries
9.34 8s equivalent to 2 burgers med fries and med drink
So what you want to do is take 6.09 and subtract it from 9.34 which is 3.25. Now 3.25 is your burger price.
What you want to do now is take your 3.25 and multiply it by 4 which would be 13. 17.35 subtract 13 would be 4.
4 divided by 3 is 1.33 which is now the price of a med fries.
now for the drink. 3.25 plus 1.33 is 4.58.
6.09 subtract 4.58 is 1.51
Now you have 3.25 as your burger
1.33 as your fries
1.52 for your drink
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A pole that is 3.1 m tall casts a shadow that is 1.18 m long.At the same time , a nearby tower casts a shadow that is 35.75 m lo
Georgia [21]

Answer:

94 m

Step-by-step explanation:

Write a proportion:

3.1 / 1.18 = x / 35.75

Cross multiply and solve:

1.18x = 3.1 × 35.75

1.18x = 110.825

x ≈ 94

Rounded to the nearest meter, the height of the tower is approximately 94 meters.

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3 years ago
Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 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

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Factor:

(x-10)(x+9)=0

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adelina 88 [10]

Answer:

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a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

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