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RSB [31]
3 years ago
14

The area of a rectangle is 21 yd^2, and the length of the rectangle is 1 yd less than twice the width. Find the dimensions of th

e rectangle.
Mathematics
1 answer:
inna [77]3 years ago
6 0

Length = 6yd

width = 3.5yd

<u>Explanation:</u>

Let, width = b

So, length = 2b-1

area = 21yd

We know,

area of rectangle = length X width

So,

21yd^{2} = (2b-1) X b

2b^{2} - b - 21 = 0

On solving the above equation, we get

Width, b = 3.5yd

length, l = 6yd

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6 x 5 = $30, soin 5 hours you get $30

Step-by-step explanation:

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A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
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Supplier B would cost $625 more than supplier A.

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Deon rented a truck for one day. There was a base fee of $20.95 , and there was an additional charge of 90 cents for each mile d
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Since 20.95 is the base value, that's the start of our equation. Next, since it costs 90 cents for each mile, the cost per mile is 0.90*x miles due to that for every mile, it costs 90 cents. We wrote it as 0.90 due to that we're writing it in dollars as 20.95 is in dollars. Adding them up, we get 20.95+0.90x = 270.25 (the total cost). Subtracting 20.95 from both sides, we get 0.9x=240.3 and divide both sides by 0.9 to get 267
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The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are t
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Step-by-step explanation:

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3 years ago
Solve the system by substitution. <br>y = -7x + 6 <br>y = -10x​
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Answer:

(-2, 20)

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 = -7x + 6

y = -10x

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                   -10x = -7x + 6
  2. Add 10x to both sides:      0 = 3x + 6
  3. Isolate <em>x</em> term:                    -6 = 3x
  4. Isolate <em>x</em>:                             -2 = x
  5. Rewrite:                              x = -2

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

  1. Define equation:                    y = -10x
  2. Substitute in <em>x</em>:                       y = -10(-2)
  3. Multiply:                                  y = 20
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3 years ago
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