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charle [14.2K]
3 years ago
6

Two rectangles have the same area. One says x + 3 and x + 1 and the other says x + 6 and x. What is the value of x?

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
(x+3)(x+1)=(x+6)(x)
x^2+x+3x+3=x^2+6x
x^2+4x+3=x^2+6x
4x+3=6x
3=2x
x=1.5

Hope this helps :)
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Let f(x)=3x2+2x−3. What is f(3)?
Annette [7]

Answer:

f(3) = 30

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

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² + 2x - 3

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(3) = 3(3)² + 2(3) - 3
  2. Exponents:                          f(3) = 3(9) + 2(3) - 3
  3. Multiply:                               f(3) = 27 + 6 - 3
  4. Add:                                     f(3) = 33 - 3
  5. Subtract:                              f(3) = 30
4 0
3 years ago
Jackson runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $
mars1129 [50]

Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:

  • 25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
  • 26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
  • 27 x 1 + 12 x 2.25 = 27 + 27 = 54

Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Learn more about quantities in brainly.com/question/25823155

3 0
3 years ago
What is the value of the 4 in the number 546210​
love history [14]

Answer:

40,000

Step-by-step explanation:

refer to attached.

the number 4 is found in the Ten Thousands (10,000) place

hence the number 4 has the value of

4 x 10,000

= 40,000

4 0
3 years ago
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There are 28 total students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play
PolarNik [594]
First, you calculate the total amount of parts : 2 + 5 = 7
Next, divide the number by the total amount of parts : 28 ÷ 7 = 4
After that, you multiply the answer by the amount of parts needed on both sides of the ratio : 4 × 2 = 8 and 4 × 5 = 20
Finally put these answers back into the ratio : 8:20
So there are 8 students in the play

To check, make sure both sides of the ratio add up to the original number : 8 + 20 = 28
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