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4 years ago

PLEASE HELP

Mathematics

2 answers:

seraphim [82]4 years ago

8 0

The mode of the numbers is 73

timurjin [86]4 years ago

4 0

Put the numbers in value order. Than look for the most often number, that will be the mode. In this case, 73 is the mode.

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The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i

34kurt

Answer: Our required linear equation would be $10y-x=50$

Step-by-step explanation:

Since we have given that

Number of cups = 150

Cost = $20

Number of cups = 400

Cost = $45

Let x be the number of cups, y be the cost .

We will use "Equation of line using Two point slope":

$y-20=\dfrac{45-20}{400-150}(x-150)\\\\y-20=\dfrac{25}{250}(x-150)\\\\10(y-20)=(x-150)\\\\10y-200=x-150\\\\10y-x=-150+200\\\\10y-x=50$

Hence, our required linear equation would be $10y-x=50$

4 0

3 years ago

What is the equation of a line perpendicular to

Valentin [98]

Since the given line

$y = \frac{ 1}{4} x - 3$

has slope
$= \frac{1}{4}$

The equation of the line perpendicular to it must have a slope which is the negative reciprocal of ,
$\frac{1}{4}$
The slope of the perpendicular line
$= \frac{ - 1}{ \frac{1}{4} } = - 4$
Using the slope intercept form,

$y = mx + c$
We substitute
$- 4$
This implies that,
$y = - 4x + c$
Since

$(-2,4)$
lies on this line , it must satisfy its equation.

That is

$4 = - 4( - 2) + c$

This implies that

$4 = 8 + c$
$4 - 8 = c$
$c = - 4$

The line therefore has equation,

$y = - 4x - 4$

3 0

3 years ago

What is the area of the shaded part?

horsena [70]

43. You just need to count the shaded area.

6 0

4 years ago

What’s 4.8989 rounded to the nearest hundredth?

raketka [301]

Answer:

4.90

Step-by-step explanation: