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alexandr402 [8]
2 years ago
13

Find the constant of proportionality (r) in the equation y=rx

Mathematics
2 answers:
ahrayia [7]2 years ago
8 0

Answer:

r = \frac{1}{4}

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

\frac{y}{x} = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = \frac{2}{8} = \frac{1}{4}

Vlad1618 [11]2 years ago
4 0

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

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Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co
FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0
3 years ago
WILL MARK BRAINLIEST!!!
Elan Coil [88]

Answer:

b

Step-by-step explanation:

count two up, and 5 to the right

8 0
3 years ago
How can you generate x-3y+5 from the expression x+y+4+2y+1
vladimir2022 [97]

Answer: Here is the explanation. also it it +3y not -3y

Step-by-step explanation:

x+y+4+2y+1=x+3y+5 because

2y+y=3y

so now you have x+3y+4+1

4+1=5

now you have: x+3y+5

if you do not understand, What i am trying to say is, you need to add all of the same things.

3 0
3 years ago
Find the geometric mean of 24 and 32
Maru [420]

Answer:

27√39

Step-by-step explanation:

To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.

8 0
3 years ago
Read 2 more answers
PLEASE HELP.I will give you the brainiest quickly
kotegsom [21]

Answer:

It's B :)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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