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2 years ago

Write each fraction as a sum of unit fractions 7/10

Mathematics

1 answer:

seropon [69]2 years ago

8 0

Answer:

3/10+4/10=7/10

Step-by-step explanation:

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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

Past records indicate that 15 percent of the flights for a certain airline are delayed. Suppose flights are randomly selected on

Zarrin [17]

Answer:

a. 0.0783

Step-by-step explanation:

For each flight, we have these following probabilities:

A 15% probability that a flight is delayed

An 85% probability that a flight is on time.

Which of the following is closest to the probability that it will take 5 selections to find one flight that is delayed?

This is the probability that the first four flights are on time and the fifth is late. So

$P = 0.85*0.85*0.85*0.85*0.15 = 0.0783$

So the correct answer is

a. 0.0783

3 0

2 years ago

How many pairs of whole numbers have a sum of 99

alexandr402 [8]

With the sum of 99, we will get 50 pairs whole numbers. Why?

Let’s start with

0+ 99

1 + 98

2 + 97

3 + 96

4 + 95

5 + 94

6 + 93

7 + 92

8 + 91

9 + 90

10 + 89

………

……..

43 + 49

44 + 50

Therefore, if you’re going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99.

Hope this helps!

4 0

2 years ago

Read 2 more answers

What is the value of 6i/1+i? 2 – 6i 2 + 6i 3 – 3i 3 + 3i

mihalych1998 [28]

6i/ (1+i)

multiply by the complex conjugate (1-i)/(1-i)

6i/(1+i) * (1-i)/(1-i)

6i* (1-i) = 6i - 6i^2 = 6i - 6(-1) = 6i +6

(1+i)*(1-i)= 1-i +i -i^2 = 1 -i+i -(-1) = 1+1=2

(6+6i)/2

3+3i

Answer: 3+3i

6 0

2 years ago

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Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?

klio [65]

Total purchased w/o tax: $8 +$5 + $15 = $28
He paid (w/tax) $29.82 so
$ 29.82 - $28 = $1.82 (sale tax)

Now we need to find the sales tax rate:

$1.82 / $28 * 100 = 0.065 *100% = 6.5%

Double check:

$28 *6.5 / 100 = $1.82

$28 + $ 1.82 = $29.82 total amount he paid..

So the sales tax rate is 6.5%

7 0

2 years ago

Read 2 more answers