The sum of 1/9 2/3 and 5/18 is what

Answers

Answer 1

Answer:

So first we have to find a common denominator, in this case it is simple because 18 works. So now we have to make 1/9 into ?/18, to do this we multiply 1/9 by 2, so now we have 2/18 + 2/3 + 5/18. To make 2/3 into ?/18 we have to multiply by 6, so now we have 2/18 + 12/18 + 5/18. Now you add all the numerators (top numbers) together and we get 19/18, which is the same as 1 1/18

ANSWER: 19/18 or 1 1/18.

Feel free to ask any questions about my explanation if you need it(:

Answer 2

Answer:

The sum of the fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ is $\boxed{\frac{{{\mathbf{19}}}}{{{\mathbf{18}}}}}$ .

Further explanation:

Given:

The given fractions are $(1)/(9),(2)/(3),\frac{5}{{18}}$ .

Step by step explanation:

Step 1:

First we make the denominator same of the given fraction.

The equivalent fraction of $(1)/(9)$ can be calculated as,

$\frac{{1 * 2}}{{9 * 2}} = \frac{2}{{18}}$

The equivalent fraction of $(2)/(3)$ can be calculated as,

$\frac{{2 * 3}}{{3 * 3}} = (6)/(9)$

The equivalent fraction of $\frac{5}{{18}}$ can be calculated as,

$\frac{{5 * 1}}{{18 * 1}} = \frac{5}{{18}}$

Step 2:

We know the sum of the given fractions and the sum of the equivalent fractions would be same.

Now find the sum of the equivalent fraction to find the sum of the given fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ as,

$\begin{aligned}\frac{2}{{18}} + \frac{{12}}{{18}} + \frac{5}{{18}} &= \frac{{2 + 12 + 5}}{{18}} \n&= \frac{{19}}{{18}} \n\end{aligned}$

Therefore, the sum of the fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ is $\frac{{19}}{{18}}$ .

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: sum, equivalent, fraction, denominator, numerator, number, division, multiplication, addition, difference, product, natural number

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There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in a cage?

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15x5=75 mice in a cage

Based on the graph above, what is the solution to this system.

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I would say infinitely many solutions because parallel lines never touch, and it isn't a case of having no slope because if it had no slope then it would be no solution. So it's D.

There is no solution because they're parallel

Change x + 2y = 6 into slope-intercept form.

Answers

The equation of the line x + 2y = 6 in slope-intercept form is y = - (1/2)x + 6.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

The equation of the given line is x + 2y = 6.

We know equation of a line in slope intercept form is,

y = mx + b.

Therefore,

x + 2y = 6.

2y = - x + 6.

y = - (1/2)x + 6.

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Answer:

y= -1/2x+3

Step-by-step explanation:

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive A. $207.27.
B. $2,072.73.
C. $2,027.27.
D. $2,073.72.

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The amount each heir will receive after the inheritance is divided is given by A = $ 2072.73

Given data ,

Let the total amount of inheritance be represented as I

where the value of I = $ 45,600.00

Now , the total number of heirs = 22 heirs

So , the amount of inheritance each heir will receive is A

where A = total amount of inheritance / total number of heirs

On simplifying the equation , we get

A = $ 45,600.00 / 2

A = $ 2072.73

Hence , the inheritance shared is A = $ 2072.73

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45600 ÷ 22 = 2072.73

answer B

19 of the 23 participants in a triathlon are men and the rest are women. What is the ratio of the number of women participating to the total number of participants?

Answers

Answer:

3:23

Step-by-step explanation:

If 19 of the 23 participants in a triathlon are men then that means there are 4 participants that are women

so the ration would be 4 women for the 23 participants

Final Answer:

The ratio of the number of women participating to the total number of participants in the triathlon is 4:23.

Explanation:

In a triathlon, there are 23 participants in total, with 19 of them being men. To find the ratio of women to the total number of participants, we first need to determine the number of women participating.

To do this, subtract the number of men (19) from the total number of participants (23):

23 (total participants) - 19 (men) = 4 women

Now that we know there are 4 women participating, we can calculate the ratio:

Number of women : Total number of participants

4 : 23

So, the ratio of the number of women participating to the total number of participants is 4:23.

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A weight is attached to to a spring that is fixed to the floor. The equation h=7cos (pi/3 t) models the height, h, in centimeters after t seconds of the weight being stretched and released. Solve for the solution of t and find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round to the nearest hundreth

Answers

Answer:

$t=(3)/(\pi)\left(\cos ^(-1)(h)/(7)\right)$

Step-by-step explanation:

The given function is,

$h=7\cos \left((\pi)/(3)t\right)$

$\Rightarrow \cos \left((\pi)/(3)t\right)=(h)/(7)$

$\Rightarrow (\pi)/(3)t=\cos ^(-1)(h)/(7)$

$\Rightarrow t=(3)/(\pi)\left(\cos ^(-1)(h)/(7)\right)$

This is the solution of t.

Now we have to find t when h is 1 cm, 3 cm and 5 cm.

When h=1

$t=(3)/(\pi)\left(\cos ^(-1)(1)/(7)\right)=78.10\ s$

When h=3

$t=(3)/(\pi)\left(\cos ^(-1)(3)/(7)\right)=61.71\ s$

When h=5

$t=(3)/(\pi)\left(\cos ^(-1)(5)/(7)\right)=42.41\ s$

lets solve for t in the height equation:

h = 7 cos (pi/3 t)
cos (pi/3 t) = h/7
pi/3 t = cos^-1 (h/7)

t = (3/pi) cos^-1 (h/7)

then we substitute:

t = (3/pi) cos^-1 (1/7)
t = 78.1 s

t = (3/pi) cos^-1 (3/7)
t= 61.71

t = (3/pi) cos^-1 (5/7)
t = 42.41

those are the times in seconds respectively.

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