MATHEMATICS HIGH SCHOOL

Find the constant proportionality for the ratio 2/5

Answers

Answer 1

Answer:

Answer:

constant of proportionality is $(2)/(5)$

Step-by-step explanation:

The direct proportionality says that:

$y \propto x$

then the equation is in the form of:

$y = kx$ .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

$(y)/(x) = (2)/(5)$

then using [1] we have;

$(y)/(x)=k$

⇒ $(2)/(5) = k$

$k= (2)/(5)$

Therefore, the constant of proportionality for the ratio of 2/5 is; $(2)/(5)$

Answer 2

Answer:

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written: y = kx

Where k is the constant of proportionality

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a goblet contains 3 red balls, 2 green balls, and 5 blue balls. if we choose a ball, then another ball without putting the first one back in the goblet, what is the probability that the first ball will be red and the second will be blue? 3/20

Answers

Answer: $(1)/(6)$

Step-by-step explanation:

The chance of the first ball being red is $(3)/(10)$ .

The chance for the second ball being blue is $(5)/(9)$ , as the red ball is not added back in. To find the chance of both of these happening, you multiply them together.

$(3)/(10)$ · $(5)/(9)$ = $(15)/(90)$ which simplifies to $(1)/(6)$ .

Help
I need help can some help me!! I give you

Answers

Answer:

x=6

Step-by-step explanation:

its an equilateral triangle so all sides are the same measure

9=3x-9

18=3x

x=6

11. A line segment is different from a line in that a segment hasA. only one endpoint.

B. no endpoints.

C. two endpoints.

D. an undefined length.

Answers

A line segment would be C.
This is because it is quite lterally a "segment" of line. Or a piece.

Find the difference: 7 7/8 - 3 1/4

Answers

$7 (7)/(8)-3 (1)/(4)=7 (7)/(8)-3 (2)/(8)=4 (5)/(8)$

7 7/8 - 3 1/4 = 7-3 + 7/8-2/8 = 4 5/8

Which ratio is equivalent to 14/28 ?A.

1/2
B.
8/14

C.

1/3
D.
2/7

Answers

1/2 because 14/28 simplifys down to 1/2 enjoy!=)

well 7 goes into both of those numbers so 14 divided by 7 is 2 and 28 divided by 7 is 4 so the answer is 2/4 which equals 1/2 so its A.

Solve for x:
3x^2-5x=2

Answers

$3{ x }^( 2 )-5x=2\n \n 3{ x }^( 2 )-5x-2=0\n \n \left( 3x+1 \right) \left( x-2 \right) =0\n \n \therefore \quad x=2\n \n \therefore \quad x=-\frac { 1 }{ 3 }$

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