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2 years ago

8

Pe o piatră stau la soare 3 șopârle. pe o altă piatră stau de două ori mai multe șopârle. Câte șopârle stau la soare pe a doua p

iatră

1 answer:

Elodia [21]2 years ago

7 0

Answer:

hola so the answer is B 1 plus 1 is 2

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Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y

Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x 4 6 8 10

y 7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x 4 6 8 10

y 12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x 4 6 8 10

y 1 3 5 7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x 4 6 8 10

y 3 3 3 3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0

2 years ago

Read 2 more answers

A worm moves forward 3/8 inch every 5 minutes for 1 hour 25 minutes. How fast does the worm move in this time?

Alina [70]

Multiply <span>3/8 inch by 75 and divide by 5</span>

6 0

3 years ago

Read 2 more answers

A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig

mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or x = $\frac{1440}{480}$

or x= 3

Hence x= 3 inch should be turned up on each side

3 0

3 years ago

Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

2 years ago

the population of woodstock, Ga is about 23,896 people,and the city encompasses 11.3 square miles. What is the population densit

aev [14]

The population density of Woodstock is 2114.7 people per square mile

Step-by-step explanation:

Population density is the number of people per square kilometer or per square mile

Given

Number of people = 23896

Area = 11.3 square miles

The population density is given by the formula:

$Population\ density=\frac{Number of People}{Area}\\=\frac{23896}{11.3}\\=2114.69=>2114.7\ people\ per\ square\ mile$

Hence,

The population density of Woodstock is 2114.7 people per square mile

Keywords: Population density, Area

Learn more about population density at:

#LearnwithBrainly

8 0

3 years ago