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olchik [2.2K]
2 years ago
9

Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 an

d 6/8 of a pizza could represent different amounts. Who is correct
Mathematics
2 answers:
liq [111]2 years ago
7 0
Nadia is right because the amount of each slice could be different by a thin slice and can effect other slices too therefore Nadia is right
Lady bird [3.3K]2 years ago
4 0
Nadia

6/8 is 3/4 and both is 75% of a pizza but, the eighths of a pizza is a smaller slice of pizza.

4/4 is four slices of pizza
8/8 is eight slices of pizza         They are different amounts.
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lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. eric
Maurinko [17]

Answer:

Both the students were correct.

Step-by-step explanation:

Given : The polynomial is - 12 x^3 - 6 x^2 + 8 x - 4

To find : Who correctly grouped the terms to factor.

Lucas group the polynomial - ( 12 x^3 + 8 x ) + ( - 6 x^2 - 4 )

Now, we solve the Lucas polynomial

(12x^3+8x) + (-6x^2-4)= 4x(3x^2+2 )-2(3x^2+2)

(12x^3+8x) + (-6x^2-4)= (3x^2+2 )(4x-2)

(12x^3+8x) + (-6x^2-4)= 2(3x^2+2)(2x-1)

Erick group the polynomial - (12x^3-6x^2) + (8x- 4)

Now, we solve the Erick polynomial

(12x^3-6x^2) + (8x- 4)=6x^2(2x-1)+4(2x-1)

(12x^3-6x^2) + (8x- 4)=(6x^2+4)(2x-1)

(12x^3-6x^2) + (8x- 4)=2(3x^2+2)(2x-1)

The factors of Lucas and Erick are same.

Each grouping leads to the same result. 

Therefore, Both students are correct.

8 0
2 years ago
Read 2 more answers
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

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2 years ago
8. Which of the numbers in each pair is farther to the left on the number line?
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A. 305
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What three different equations that have x = 5 as a solution
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5x=25 could be one.
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20%

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