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xz_007 [3.2K]
3 years ago
15

The equation y=7.6x represents a proportional relationship. What is the constant of proportionality?

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
8 0
I’m not too sure fam
xenn [34]3 years ago
5 0
7.6

The equation for proportionality is y=kx

So, 7.6 is k.
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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

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7 0
3 years ago
In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 t
JulsSmile [24]

Answer:

<h3>If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him  is 3276\times 10 = 32760 minutes Eating round the clock, it would take him   is \frac{546}{24} = 22 days 18 hours</h3>

Step-by-step explanation:

Given that "In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes"

From the given we can write

13 buns

8 cheese

4 lettuces

3 tomatoes

 ∴ There would be  different cheeseburger combinations  is given by

13\times 8\times 4\times 3 = 3,276

Given that if the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

3276\times 10 = 32760 minutes

Eating round the clock, it would take him

\frac{32760}{60}=546 hours

\frac{546}{24} = 22 days 18 hours

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3 years ago
Find the largest of 3 consecutive odd integers that have a sum of -75
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they are
x,x+2,x+4

sum is -75

x+x+2+x+4=-75
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