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neonofarm [45]
3 years ago
15

A hobby store prices model train track using a proportional relationship between the length of track (in inches) and the cost in

dollars.
If 6.4
6
.
4
inches of track costs $16
$
16
, what is the constant of proportionality?

Mathematics
2 answers:
SVEN [57.7K]3 years ago
4 0

Answer:

If... 6.4 inches : 16 dollars

Then... 32 inches = 80 dollars.  

And, 1 inch of track = 80/32 dollars.

80/32 = 2.5.

So, the answer is: 1 inch of track costs 2.5 dollars.

Andrei [34K]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:

The constant of probability is 16/6.4=2.5

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garik1379 [7]

I believe it is the commutative property of multiplication. Commutative property is you can put the numbers in any order and it will have the same end result. I got multiplication because it is multiplication.

Hope this helps!



4 0
3 years ago
Read 2 more answers
Write a linear equation that passes through the points(2,-2) and (0,1)
Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1


So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0
2 years ago
Read 2 more answers
Os
algol [13]

Answer:

\boxed{\sf{4}}}

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run}  }

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4}    }

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A’ is at
djyliett [7]

Answer:

4.21

Step-by-step explanation:

Because 2.1 is also equivalent to  -4.2 which also is equivalent to D'.

7 0
3 years ago
Miranda found out that there are 20 drops in 11 mL of medicine. She measured 15 drops of medicine into a measuring cup. How many
andreyandreev [35.5K]

Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \dfrac{11}{20} mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= 15\times\dfrac{11}{20}

=\dfrac{33}{4}

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

6 0
3 years ago
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