If Y varies directly as X and y=12 when x= 9. Find the constant of variation. A. 3/4
B.4/3
C.4
D.3

Answers

Answer 1

Answer: Y = kX

12 = k x 9
12/9 = k
k = 4/3

Hope I helped!

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The ratio of secondary turns to primary turns in a transformer is 37 to 4. How many secondary turns are there if the primary coil has 48 turns?

Answers

The ratio is the comparison of two quantities of the same units.

The number of secondary turns is 444 turns.

What is a ratio?

It is the comparison of two quantities of the same units.

It shows how much of one quantity is present in the other quantity.

We have,

The ratio of secondary turns to primary turns in a transformer = 37 to 4.

Let the number of secondary turns = 37x

Let the number of primary turns = 4x

The primary turns = 48 turn

4x = 48

x = 48/4

x = 12

Now,

The number of secondary turns:

= 37x

= 37 x 12

= 444

Thus the number of secondary turns is 444 turns.

Learn more about ratios here:

brainly.com/question/2462048

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$37:4=x:48\n4x=37\cdot48\n4x=1776\nx=\boxed{444}$

What are the first few digits of pi

Answers

The first few digits of pi are:
3.141592654

pi has been calculated to hundreds of decimal places. Commonly seen abbreviations are 3.14, 3.14159.

What is the slope shown in the picture??

Answers

The answer would be 1/4. Y2-Y1 / X2-X1

What is the square root of 65

Answers

one way is factor
exg
if you wanted to find the square root of 36 you would factor
36=2 times 2 times 3 times 3
then group repeeting numbers then write only one of them
36=(2 times 2) times (3 times 3)
squareroot36=2 times 3=6

so factor 65
65=5 times 13
that doesn't help
next step
find squares close to that numbers
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81

the answer is a little more than 8
the more exact one would be from a calculator (8.0622577482985)

Simplify the expression. (8x + 14) + (9x - 5)

Answers

use the associative property that says
a+(b+c)=(a+b)+c
and the commutative property that says
a+b=b+a
use together and get
(8x+14)+(9x-5)=8x+9x+14-5
add like terms
8+9=17
therefor
17x+14-5
14-5=9
17x+9 is the simpliefid form

Alexa worked 30 hours last week and earned $450. her pay has now been increased by 20% which equation describes her new rate of pay P, baesed on the numbe rof hourse, h, worked