All categories

3 years ago

The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

C) 4

Step-by-step explanation:

Given equation:

$2y=8x$

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

The equation representing proportional relationship is given by:

$y=kx$

where $k$ represents constant of proportionality.

So, in order to find the value of $k$ for the given proportionality relationship, we will solve for $y$

We have:

$2y=8x$

Solving for $y$

Dividing both sides by 2.

$\frac{2y}{2}=\frac{8x}{2}$

$y=4x$

∴ $k=4$

Thus, the constant of proportionality = 4.

You might be interested in

What're all the numbers divisible by 3 and 9?

KIM [24]

3 and 1 are divisible by 3. 3, 1, and 9 are divisible by 9

7 0

3 years ago

Read 2 more answers

Question

puteri [66]

Answer:

The salt concentration of the mixed solution = 10%

Step-by-step explanation:

First assuming that the concentration of salt given is on a vol% basis.

First solution has 0.7 gallon of 5% salt

Amount of salt in this solution = 5% × 0.7 = 0.035 gallon

Second solution has 0.3 gallon of 22% salt

Amount of salt in this solution = 22% × 0.3 = 0.066 gallon

Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon

Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon

Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent

Hope this Helps!!!

3 0

2 years ago

Which point lies on a circle with a radius of 5 units and center at P(6,1)?

ryzh [129]

Answer:

Option B. $R(2,4)$

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

$(x-6)^{2}+(y-1)^{2}=5^{2}$

$(x-6)^{2}+(y-1)^{2}=25$

step 2

Verify each case

case A) $Q(1, 11)$

substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

$(1-6)^{2}+(11-1)^{2}=25$

$25+100=25$ ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

7 0

3 years ago

65536, 256, 16, What is the next number?

Oduvanchick [21]

Hello,

$x_{1} =65536\\
 x_{n+1} =\sqrt{ x_{n}}\\\\

 x_{1}=65536\\
 x_{2} =\sqrt{65536}=256\\
 x_{3} =\sqrt{256}=16\\
 x_{4} =\sqrt{16}=4\\
 x_{5} =\sqrt{4}=2\\
 x_{6} =\sqrt{2}\\
...$
==================================

7 0

2 years ago

19.

vichka [17]

Answer:

168

Step-by-step explanation:

Sum the parts of the ratio, 6 + 7 = 13 parts

Divide the total number of students by 13 to find the value of one part of the ratio.

364 ÷ 13 = 28 ← value of 1 part of the ratio, thus

number of girls = 6 × 28 = 168

3 0

2 years ago