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egoroff_w [7]
3 years ago
5

Is the decimal for 4 over 3 a repeating decimal ? expain

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

Yes, the decimal form of \frac{4}{3}is indeed a repeating decimal. The expression is equivalent to 1 \frac{1}{3}, which is also 1.3333333 or "1.3 bar", signifying that the 3 will repeat infinitely.

fgiga [73]3 years ago
5 0

Either using a calculator or long division, we can show that 4/3 = 1.333333...

Because this string of 3's goes on infinitely, 4/3 is indeed a repeating decimal.

You might be interested in
In a random sample of 200 cars of a particular model,
Aleks04 [339]

By using proportions, We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

First, let's set up the proportions.

A proportion is an equation in which two ratios are set equal to each other.

We have 3/200 cars with defects and we want to know X for X/10000.

So 3/200 = X/10000

Now solve for X.

3/200 = X/10000

X = \frac{3}{200} \times 10000

X = 150

So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

Find out more information about proportions here

brainly.com/question/11609816

#SPJ4

8 0
2 years ago
The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
Tpy6a [65]

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

8 0
3 years ago
Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the
Dmitry_Shevchenko [17]

Answer:

Meghan should use positive integers to represent income. Income is money that flows into the business, and it is always positive. The higher the income, the more money a business will have.

On the other hand, expenses must be represented by negative integers. Expenses are money that flows out of a business, and is always negative. The higher the expenses, the less money the business will have. Expenses reduce a business's net income.

4 0
2 years ago
Please help me with these questions , thank you​
Angelina_Jolie [31]

Answer:

1. 4x^{3} + 26x² + 4x - 48

2. 2x^{3} - 23x² + 60x - 32

3. x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

4. 2x^{7} + x^{6} - 28x^{5} + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8)  +  6(4x² + 2x - 8)

4x^{3} + 2x² -8x  +  6(4x² + 2x -8)

4x^{3} + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4x^{3} + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4)  +  (-8)(2x² - 7x + 4)

2x^{3} - 7x² + 4x  +  (-8)(2x² - 7x + 4)

2x^{3} - 7x² + 4x  +  -16x² + 56x - 32

Combine like terms:

2x^{3} - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x(x^{4} + 7x² - 4)  +  2(x^{4} + 7x² - 4)

x^{5} + 7x^{3} - 4x  +  2(x^{4} + 7x² - 4)

x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

No like terms to combine, so:

x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2x^{6} - 7x^{5} + 3)  +  4(2x^{6} - 7x^{5} + 3)

2x^{7} - 7x^{6} + 3x  +  4(2x^{6} - 7x^{5} + 3)

2x^{7} - 7x^{6} + 3x + 8  x^{6} - 28x^{5} + 12

Combine like terms:

2x^{7} + x^{6} - 28x^{5} + 3x + 12

hope this helps!

8 0
2 years ago
Can someone help me with this :(
julia-pushkina [17]

Answer:

9

Step-by-step explanation:

6+x, when x = 3

6+(3)

6+3=9

5 0
3 years ago
Read 2 more answers
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