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MArishka [77]
2 years ago
5

What is the direct linear variation equation for the relationship?

Mathematics
1 answer:
defon2 years ago
3 0
\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ K}}&\cdot&x
\\ \\
&&  y={{ K }}x
\end{array}
\\ \quad \\

\begin{cases}
y=4\\
x=12
\end{cases}\implies y=Kx\implies 4=K\cdot 12

solve for "K", to see what "K" is, or the "constant of variation",
once you found K, plug it back in y=Kx, and that's the equation
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Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5
goldenfox [79]
Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5

3/4 of  p subtracted by 2 is 5/6 of a r plus 5

3/4 of p - 2 is 5/6 of r + 5

\frac{3}{4} p-2= \frac{5}{6} r+5   <--- answer?

\frac{3}{4} p= \frac{5}{6} r+7    

\frac{3p}{4} = \frac{5r}{6} +7

\frac{3p}{4}* \frac{6}{5r}  = 7

\frac{18p}{20r} = 7

\frac{9p}{10r} = 7

\frac{p}{r} = 7* \frac{10}{9}

\frac{p}{r} = \frac{70}{9}   <-- answer?

Hope this helps

5 0
3 years ago
Is it adjacent,vertical or neither
IgorLugansk [536]
I think its adjacent not for sure

3 0
2 years ago
Would it be B? Let me know
IgorC [24]

Answer:

whats the question?

Step-by-step explanation:

8 0
2 years ago
standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ
RoseWind [281]

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>
  • The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
  • The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

5 0
11 months ago
The coordinates of the vertices of △JKL are J(3, 4), K(3, 1) , and L(1, 1) . The coordinates of the vertices of △J′K′L′ are J′(−
timurjin [86]

The <em><u>correct answer</u></em> is:

A 180° rotation followed by a translation 1 unit down.

Explanation:

The points are mapped as follows:

J(3, 4)→J'(-3, -5)

K(3, 1)→K'(-3, -2)

L(1, 1)→L'(-1, -2)

A 180° rotation maps a point (x, y) to (-x, -y).  This would map

J(3, 4)→(-3, -4)

K(3, 1)→(-3, -1)

L(1, 1)→(-1, -1)

The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these.  This means a translation 1 unit down would result in the image points.

7 0
3 years ago
Read 2 more answers
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