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3 years ago

What fraction is equivalent to 0.46464646···

Mathematics

2 answers:

pashok25 [27]3 years ago

7 0

The answer is C. Hope we helped. 46 ends in the 100th place so it's just 46/100.

ICE Princess25 [194]3 years ago

3 0

For this case, we must divide each of the given fractions, to find one that is equivalent to 0.46464646 ···

Dividing we have the following:

$\frac {46} {99} = 0.464646465\\\frac {46} {999} = 0.046046046\\\frac {46} {100} = 0.46\\\frac {23} {50} = 0.46$

Finally, the correct fraction is $\frac {46} {99}$

Answer:

Option A

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Find the sum of the first 44 terms of the following series, to the nearest integer. 10, 14,18,...

Daniel [21]

Answer:

4224

Step-by-step explanation:

Here, we want to calculate the sum of the first 44 digits

Term a which is first digit is 10

common difference which is difference of terms = 14-10 = 18-14 = 4

Now the nth term of an arithmetic sequence is

a + (n-1)d

44th term means n = 44

10 + (44-1)4

10 + 43(4)

10 + 172 = 182

To find the sum, we use the formula

Sn = n/2[a + L]

where a is the first term and L is the 44th term

Sn = 44/2 (10 + 182)

Sn = 22(192)

Sn = 4,224

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3 years ago

Show that the equation x^3+7x-4=0 has a solution between x=0 and x=1

Aleksandr [31]

Step-by-step explanation:

Using the Intermediate Value Theorem, the following is applied:

"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).

So here there must be a c such that

$f(0) < f(c) < f(1)$

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists

Next, plug in the x values into the function

$f(0) = - 4$

$f(1) = {1}^{3} + 7(1) - 4 = 4$

Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)

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2 years ago

Question is in picture! answer asap! will give brainliest!

nataly862011 [7]

Answer:solve for x

-3x+5y=-15

Add -5y to both sides

-3x+5y+-5y=-15+-5y

-3x=-5y-15

Divide both sides by -3

-3x/-3=-5y-15/-3

x= 5/3 y +5

I hope that's help!

Step-by-step explanation: plz give brainlist

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3 years ago

Explain why parallelograms are always

Mars2501 [29]

Answer: Parallelogram is a kind of quadrilateral where as there are some quadrilaterals (like trapezoid , kite, .. ) that do not satisfy the properties of parallelograms.

Step-by-step explanation:

A quadrilateral is a closed polygon having fours sides.

A parallelogram is a kind of quadrilateral having following properties:

Its opposite sides and opposite angles are equal.

The sum of adjacent angles is 180°.

The diagonal of parallelogram bisect each other.

A Trapezoid is also a quadrilateral . It has only one pair of parallel sides. (The other one are not parallel).

So , all quadrilaterals not parallelograms.

Therefore, parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms because parallelogram is a kind of quadrilateral where as there are some quadrilaterals (trapezoid , kite, .. ) ) that do not satisfy the properties of parallelograms.

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6 0

3 years ago

Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the t

motikmotik

Answer:

11 rides

Step-by-step explanation:

let the total amount be y

and let the number of ride be x

the expression for the situation is y=mx+c

given

total amount=$28

admission fee= $6

cost per ride=$2

we are expected to find x

substitute into the expression we have

28=2x+6

28-6=2x

22=2x

divide boths sides by 2 we have

x=22/2

x=11

the number of rides is 11

4 0

3 years ago