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3 years ago

Is 8/9 bigger than 2/3

Mathematics

2 answers:

swat323 years ago

4 0

Answer:

Yes

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

2/3 = 0.667

Then, we compare the two decimal numbers to get the answer.

0.889 is greater than 0.667

aksik [14]3 years ago

4 0

Answer:

It is true that 8/9 is bigger than 2/3

Step-by-step explanation:

Multiply both terms by their LCM

Take 8/9,

=(8/9)*27

=24

Take 2/3,

=(2/3)*27

=18

It is true that 8/9 is bigger than 2/3

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there are 6 dogs

Step-by-step explanation:

x = dogs

x= 2 + 4

x = 6

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3 years ago

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Find the vertex of y = 5x² - 4

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3 years ago

A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

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7 0

3 years ago

PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?

wlad13 [49]

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

6 0

4 years ago

On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordi

Lemur [1.5K]

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

Given that:

$A =5$

$B = 50$

The coordinate of X at the midpoint is:

$X = \frac{B + A}{2}$

So, we have:

$X = \frac{50+5}{2}$

$X = \frac{55}{2}$

$X = 27.5$

Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

$T = X + \frac 23 (B - X + 1)$

So, we have:

$T = 27.5 + \frac 23 (55 - 27.5 + 1)$

$T = 27.5 + \frac 23 (28.5)$

$T = 27.5 + 19$

$T = 46.5$

<em>Hence, T is located at 46.5</em>