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3 years ago

What is 11/15 - 3/20

2 answers:

6 0

11/15 - 3/20
= 11/(3*5) - 3/(4*5)
= (11*4)/(3*4*5) - (3*3)/(3*4*5)
= (44 - 9)/(3*4*5)
= 35/(3*4*5)
= (7*5)/(3*4*5)
=7/12

otez555 [7]3 years ago

3 0

The answer is 0.5833

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Which ratio is not equivalent to the others?

snow_lady [41]

Answer:

4:7

Step-by-step explanation:

3:5=6:10/2=3:5

9:15=9:15/3=3:5

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4 years ago

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What is the mean of the set of numbers, {–11, 22, –2, –3}? A. –6.5 B. –1.5 C. 1.5 D. 6.5

tekilochka [14]

$\dfrac{-11+22+(-2)+(-3)}{4}=\dfrac{22-16}{4}=\dfrac{6}{4}=\fbox{1.5}\to\fbox{C.}$

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3 years ago

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

$Rate R +Rate S= Rate total$

Rate R = $\frac{x}{36}$ 'x' is the job

Rate S = $\frac{x}{18}$ 'x' is the job

So, using the equation of rates

$Rate total =\frac{x}{36} + \frac{x}{18}$

Rate total is going to be a job in 2 hours so = $\frac{1}{2}$

$\frac{1}{2} = \frac{x}{36}+\frac{x}{18}$ adding up

$\frac{1}{2}= x*\frac{3}{36}$ factoring the x

$\frac{1}{2}= x*\frac{1}{12}$ simplifying

x= $\frac{12}{2} \\$

x= 6

3 0

3 years ago

On Wednesday 72% of the costumers who bought gas at a gas station made additional purchases. There were 259 costumers made addit

Fiesta28 [93]

Answer:

360 approx

Step-by-step explanation:

Given data

We want to find the total number of customers that bought gas

Let the total number of customers be x

72% of x = 259

let us solve for x

72/100*x= 259

0.72*x=259

x= 259/0.72

x= 359.72

Hence the actual number of customers is 360 approx

7 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago