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neonofarm [45]
2 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]2 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]2 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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mr. brown has 78 pencils. he gave them to 8 children so that each child gets the same number of pencils. how many does each chil
Vera_Pavlovna [14]

Each student got 9 pencils. Since 78/8= 9.75 you would round down since a student can't have 3/4th of a pencil.

3 0
3 years ago
Find the measure of an angle in standard position for each reference angle.​
scoundrel [369]

Step-by-step explanation:

1. 90+65= 155°

2. π+ π/6 = 7π/6 or 210°

3. 24+180=204°

4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18

or 310°

5 0
2 years ago
Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?
iren2701 [21]

Answer:

(5, 6, 9)

Step-by-step explanation:

The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:

f(-2) = 9

f(-1) = 6

f(0) = 5

f(1) = 6

f(2) = 9

Since we can't have repeats in the range, it would be: (5, 6, 9)

6 0
2 years ago
Find the are of a parallelogram that has a base of 7 1/2 and a height of 5 2/7
Amiraneli [1.4K]
Use the formula for the area of a parallelogram:

\sf A=bh

Plug in what we know:

\sf A=(7\dfrac{1}{2})(5\dfrac{2}{7})

Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf A=(\dfrac{15}{2})(\dfrac{37}{7})

Now multiply the numerators and denominators together:

\sf A=\dfrac{15}{2}\cdot\dfrac{37}{7}\rightarrow\dfrac{15\cdot 37}{2\cdot 7}\rightarrow\dfrac{555}{14}

Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:

\sf 39\dfrac{9}{14}

So this is the area of the parallelogram.
6 0
2 years ago
Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true X is false, Z is true X is
kumpel [21]

Answer:

B

Step-by-step explanation:

According to the given situation,

If X, then Y indicates y depends on X

If Y, then Z indicates Z depends on Y

As per the given situation, Y is true also Z will be true on the other hand there no solution about x b as y depends on X

Therefore as per the above explanation, the correct answer is B and hence the same is to be considered

6 0
3 years ago
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