All categories

3 years ago

Which equation shows a proportional relationship?

Mathematics

1 answer:

Kamila [148]3 years ago

7 0

Answer:

Option D i.e. y = 1/2 x is the correct answer.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where k is the constant of proportionality.

In our case, the only equation which maps in accordance with y = kx is y = 1/2x.

i.e.

y = 1/2 x

here k = 1/2

Thus, k = 1/2 is the constant of proportionality.

Therefore, option D i.e. y = 1/2 x is the correct answer.

You might be interested in

What is equivelant to 5 to the power of -1?

Mazyrski [523]

$\frac{1}{5}$ Or 0.2

3 0

3 years ago

Which of the following is the correct graph of the solution to the inequality-18>-5x+2>-48

makvit [3.9K]

Answer:

Step-by-step explanation:

we have

$18 > -5x+2 > -48$

This is a compound inequality

Remember that

A compound inequality i can divide in a system of two inequalities

$18 > -5x+2$ -----> inequality A

$-5x+2 > -48$ ---> inequality B

step 1

Solve the inequality A

$18 > -5x+2$

Multiply by -1 both sides

$-18< 5x-2$

$-18+2< 5x$

$-16< 5x$

Divide by 5 both sides

$-3.2< x$

Rewrite

$x > -3.2$

The solution of the inequality A is the interval ----> (-3.2,∞)

step 2

Solve the inequality B

$-5x+2 > -48$

Multiply by -1 both sides

$5x-2 < 48$

$5x < 48+2$

$5x < 50$

Divide by 5 both sides

$x < 10$

The solution of the inequality B is the interval ----> (-∞, 10)

step 3

Find the solution of the compound inequality

(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)

All real numbers greater than -3.2 and less than 10

The graph in the attached figure

7 0

3 years ago

7 out of 28 is what percent?

jeka57 [31]

Here's what I did and I checked it So it is correct!!

$\frac{7}{28} = \frac{1}{4}$

$\frac{1}{4} = 0.25$

25% is your answer.

$28 \times 25\% = 7$

--------------------------------------------------------

I hope that helps you!! Any more questions please feel free to ask!!

8 0

3 years ago

Read 2 more answers

Model using integer tiles or a number line to show your thinking and

Neko [114]

The answer is -2-(-3)=1

6 0

3 years ago

Please help, any help is appriciated :)

Vesna [10]

Answer:

(a) |ab| if a<0 and b>0

since the modulus of a number no matter whether it is positive or negative gives the result as a positive number.

if a<0 and b>0 then ab<0

this implies ab is a negative number and modulus of negative number comes out to be positive term.

<em>eg:</em> if a= -2 and b=3

Then ab= -6

and |ab|=|-6|=6

(b) |ab| if a>0 and b>0.

since both a and b are positive numbers i.e. strictly greater than zero.

hence, ab>0

eg: if a=5 and b=2

then ab=10

and |ab|=|10|=10

7 0

4 years ago