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mafiozo [28]
3 years ago
15

Which number produces an irrational number when multiplied by 0.5

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

  C.  √3

Step-by-step explanation:

When one of the factors is a rational number (0.5), the product will be irrational if, and only if, the other factor is irrational.

Of the numbers offered, only √3 is irrational.

  √3 will produce an irrational product when multiplied by 0.5.

__

The other values are all rational:

  A: 4

  B: 5/9

  D: 1/3

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natita [175]

Answer:

D. - 1/6

Step-by-step explanation:

M + 2/3 = 1/2

M = 1/2 - 2/3

\frac{1}{2} - \frac{2}{3} = \frac{3}{6} -  \frac{4}{6} = -\frac{1}{6}

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There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5
algol [13]

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

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2 years ago
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Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe
Alexandra [31]

Here's what I mean when I write <em>x/</em><em>2</em><em> </em><em>JUST </em><em>IN </em><em>CASE.</em>

а.

Let the total number of pencils be x, then this implies that Maggie received <em>x/</em>2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

<em>x/</em>2-5 pencils.

b. Expression of pencils given to Jamil is: <em>x/</em>2-5

Substitute <em>x</em><em>=</em><em>1</em><em>6</em><em> </em>in this expression: <em>x/</em>2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for <em>x</em> all, the total

number of pencils if Jamil received 1 pencil:

<em>x/</em>2 - 5 = 1

Solve for x:

<em>x</em> = 2(1+ 5)

Evaluate:

<em>x</em> = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is <em>x</em>/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

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3 years ago
(0, 1) , (4, 2) equation in slope intercept form
mihalych1998 [28]

Answer:

2=1/4(4+b)

Step-by-step explanation:

(0,1), (4,2)

first, find the slope

slope formula- (y2-y1)/(x2-x1)

plug in the coordinates

(2-1)/(4-0)

subtract

1/4

slope=1/4

slope intercept form- y=mx+b

choose one of the coordinates to plug in

(4,2)

plug it in

2=1/4(4+b)

4 0
3 years ago
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