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Vitek1552 [10]
3 years ago
7

Solve by using substitution. Express your answer as an ordered pair.

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0
(1,-2) is the ordered pair
Deffense [45]3 years ago
7 0

Answer:

(1, -2)

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>

4x + y = 2

y = x - 3

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

<em>Substitution</em>

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

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = x - 3
  2. Substitute in <em>x</em>:                       y = 1 - 3
  3. Subtract:                                 y = -2
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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
Name an equivalent ratio for 1/2 with a denominator of 20
Westkost [7]
To begin with, equivalent fractions represent the same part of a whole number. So I need to find a fraction, with a denominator of 20, that is the same value as 1/2: 
1/2 = ?/20
1*10/2*10 = 10/20

Since the denominator needed to be 20, I multiplied the numerator and the denominator (1/2) by 10 to get 10/20. So, 1/2 and 10/20 are equivalent.
8 0
3 years ago
Find the equation of the line that is parallel toy=32x−5
Alona [7]

Answer:

d/dx ( 32x - 5)

Step-by-step explanation:

i think this is right please tell me if its not

8 0
3 years ago
a rectangular frame has a length of 3 and 1/8 feet and an area of 2 and 3/4 feet.what is the width,w, feet,of the fame? please a
Galina-37 [17]
If you would like to find the width of the frame in feet, you can do this using the following steps:

length * width = area
3 1/8 feet * width = 2 3/4 square feet
25/8 feet * width = 11/4 square feet
25/8 * width = 11/4
width = 11/4 / 25/8
width = 11/4 * 8/25
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The correct result would be 22/25 feet.
5 0
3 years ago
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Answer:

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Step-by-step explanation:

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