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Gre4nikov [31]
2 years ago
13

You are painting the outside of a 36-foot fence that goes around a square playground. There are 4 equal sections. You have paint

ed 1/4 of one section. What fraction of the job have you completed?
Mathematics
2 answers:
kvv77 [185]2 years ago
5 0
36/4 x 1/4 = 36/16 or 2 4/16 or 2 1/4
Umnica [9.8K]2 years ago
3 0

Answer:

You have completed \frac{1}{16} of the job.

Step-by-step explanation:

You are painting the outside of a 36 foot fence.

There are 4 equal sections of the fence = 36 ÷ 4 = 9 feet one section.

You have painted \frac{1}{4} of one section.

9 × \frac{1}{4} = \frac{9}{4} feet.

you have painted \frac{9}{4} feet of one section.

Now the fraction of total job done = \frac{9}{4\times 36} = \frac{1}{16}

You have completed \frac{1}{16} of the job.

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Factorization for the monomial<br> <img src="https://tex.z-dn.net/?f=48x%5E%7B10%7D" id="TexFormula1" title="48x^{10}" alt="48x^
Schach [20]

Answer:

Some of the possible factorizations of the monomial given are:

(16x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

Step-by-step explanation:

 To factorize the monomia you need to express it as a product of two or more monomials.  Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations.  Below are shown some of the possible factorizations of the monomial given:

(2^4x^5)(3x^5)

(48x)(x^9)\\\\(4x^5)(12x^5)\\\\(16x^2)(3x^8)\\\\(2x^2)(4x^7)(6x)

3 0
3 years ago
Read 2 more answers
A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and f
Vsevolod [243]

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

5 0
2 years ago
Read 2 more answers
Which sequence of transformations will verify that quadrilateral WTUV and quadrilateral W'T'U'V' are congruent? A) WTUV is moved
andrew-mc [135]

Answer:

A) WTUV is moved onto W'T'U'V' after translating −15 units vertically, and then rotating 180° counterclockwise around the origin.

Step-by-step explanation:

WTUV is moved onto W'T'U'V' after translating −15 units vertically, and then rotating 180° counterclockwise around the origin.

6 0
2 years ago
Compare these rational numbers. Which of the following are true?
Inessa [10]

Answer:

i. false

ii. true

iii. true

iv. false

When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.

6 0
2 years ago
What is two thirds of eight
AlladinOne [14]
5 + 0.33333... 

<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>

<span>x = 0.33333... </span>

<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>

<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>

<span>Answer: </span>
<span>5 1/3 </span>

<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>

<span>1) Take the repeated part and put it over an equivalent number of nines. </span>

<span>Example: </span>
<span>0.57575757... = 57/99 </span>

<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>

<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>

<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
8 0
3 years ago
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