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stich3 [128]
3 years ago
11

what is 12/3 as an improper fraction? a. 2/3 b. 5/3 c. 8/3 d. 6/3 user: what is 20 × 6? a. 100 b. 40 c. 12 d. 120

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0
1\dfrac{2}{3}=\dfrac{1\cdot3+2}{3}=\boxed{\dfrac{5}{3}}\to\fbox{b.}\\\\20\times6=6\cdot(2\cdot10)=6\cdot2\cdot10=12\cdot10=\boxed{120}\to\fbox{d.}
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What do algebraic expressions and numeric expressions have in common
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<u>Answer</u>:

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A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?
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30m/sec

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3 years ago
Read 2 more answers
Solve 5x = 2 writing your answer as a fraction in its simplest form
sveticcg [70]

Answer:

x = 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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

5x = 2

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

  1. Divide 5 on both sides:                    x = 2/5

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(2/5) = 2
  2. Multiply:                                2 = 2

Here we see that 2 does indeed equal 2.

∴ x = 2/5 is the solution to the equation.

5 0
3 years ago
What values of a and b make this equation true?
Fynjy0 [20]

Answer:

a = -4

b=-29

Step-by-step explanation:

<h3>Complex number:</h3>

First write the radicals in simplest form.

i² = -1

\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)

                                                          \sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i

   \sf \boxed{a = -4 }\\\\\boxed{b=-29}

5 0
2 years ago
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