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OlgaM077 [116]
3 years ago
9

What is the constant of proportionality in the equation y=\dfrac54xy= 4 5 ​ xy, equals, start fraction, 5, divided by, 4, end fr

action, x?
Mathematics
2 answers:
ddd [48]3 years ago
6 0

Answer:

\frac{5}{4}

Step-by-step explanation:

We have been given an equation y=\frac{5}{4}x and we are asked to find the constant of proportionality in the given equation.

If two variables are proportional, there is always a constant ratio between them. This constant is called the constant of proportionality.    

Since we know that a directly proportional equation in in form: y=kx, where k is constant of proportionality.

Upon comparing our given equation with the directly proportional equation we can see that k=\frac{5}{4}, therefore, constant of proportionality in our given equation is \frac{5}{4}.

photoshop1234 [79]3 years ago
3 0

Answer: it’s 1/2

Step-by-step explanation:

If the constant of proportionality is

k, then Y = kx

idk if that made sense, but I hope this helps

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If PQ = QR, find x. NEED HELP.
max2010maxim [7]

Answer:

x=-3,5

Step-by-step explanation:

4 0
2 years ago
Can somebody help with this problem?
Anastasy [175]

Answer:

x=-5 or -5

Step-by-step explanation:

x - 4 = 2x + 1

Subtract x from both sides canceling out the x on the left, getting...

-4 = x + 1

Then subtract the 1 from both sides canceling out the 1 on the right, getting...

-5 = x

Subtracting x from 2x gets you 1x which you just write as x because there is only one x. Doing the equation from the other side will still get you the same answer and I will show you.

x - 4 = 2x + 1

-x - 4 = 1

-x = 5

x = -5

Hope this helps!

4 0
3 years ago
two bicycle riders start from the same point and ride in opposite directions. one rider is moving twice as the other. in 3 hours
Likurg_2 [28]

Step-by-step explanation:

let X = speed of slow bicycle rider

2x=speed of fast bicycle rider

3(x+2x)=72

X=8mph(slowest bicycle rider)

2x=16mph(fastest bicycle rider)

5 0
3 years ago
A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i
Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0
3 years ago
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stira [4]
The answer would be 20
6 0
3 years ago
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