Write an equation for the proportional relationship shown in the table.

Write An Equation For The Proportional Relationship Shown In The Table.

Answers

Answer 1

Answer:

y = 14x

Step-by-step explanation:

First Way of Finding the Equation:

We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).

[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]

So, this proportional relationship has an equation of y = 14x.

Second Way of Finding the Equation:

Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.

From this information, we know that the equation must be y = 14x.

Hopefully that's helpful! :)


Related Questions

find 3 arithmetic means between -4 and 16​

Answers

Therefore, the arithmetic means are 1, 6, 11

Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16

Can y’all help me plz.

Answers

Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)

3x - 2 < 4

what is the solution for the inequality

Answers

Answer:

x<2

Step-by-step explanation:

Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?

Answers

.25
you can come to this conclusion by calculating 13/52

At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?

Answers

Answer:

there is a 20% chance that a vase will be cracked

Step-by-step explanation:

Answer:

2/10 = 1/5 = 0.2 = 20%

Step-by-step explanation:

yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?

Answers

Answer:His commision is $225Step-by-step explanation: To figure this out, convert 2.5% into a decimal, which is 0.025. Then, multiply the amount he sold by his commission percent. So $9000 * 0.025 =$225

17 and 18 guys
aaaaaaaaaaaa I can do the rest but i just need to get this done & over with

Answers

Answer:

17a 3.5 hours

17b 3 hours

18. w=10

Step-by-step explanation:

17a 60 miles/hour and 210 miles

so 210/60 = 3.5 hours

17b, 70 miles/ hour and 210 miles

so 210/70 = 3 hours

18. 1.5/2=7.5/w

1.5w=7.5*2

w=10

a desk costs $145. what is the total cost of 23 desks?

Answers

Answer:

145*23=3335$

by multiplying cost by sum of desk

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready

Answers

Answer:

2:5 is the simplified form.

Step-by-step explanation:

4:10 => 4/10 => 2/5=> 2:5

Conclusion:

Therefore, the simplified form of 4:10 is 2:5.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

2:5 and 12:30

I hope this helps!

From: Aug1e

When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?

Answers

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D


Write an equation of the line that passes through the point (3,-5) and has the slope of 2

Answers

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?


cos2α = 1 – 2〖sin〗^2α

sin(α)cos(α) - cos(α)sin(α)

sin(α)cos(α)

2sin(α)cos(α)

Answers

Answer:

it is the last one

Step-by-step explanation:

me big brain

finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?

Answers

Answer:

true

Step-by-step explanation:

Pythagoras is simply c² = a² + b².

so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.

Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet

Answers

Answer:

length = 20 ftwidth = 20 ftheight = 0.4 ft

Step-by-step explanation:

The volume of Prism A is ...

  V = LWH

  V = (8 ft)(4 ft)(5 f) = 160 ft³

Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...

  length = 20 ft

  width = 20 ft

  height = 0.4 ft

Step-by-step explanation:

We know that

Volume of prism = lwh

=> 8 × 4 × 5

=> 32 × 5

=> 160 ft³

So,

The possible length, height and width could be

Length = 10 ft

Breadth = 8 ft

Height = 2 ft

given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12

Answers

Answer:

=-240..................

Answer:

x = - 1

Step-by-step explanation:

f(x) = 2x - 10 and f(x) = - 12, then equating gives

2x - 10 = - 12 ( add 10 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.

Answers

Answer:

At 2 hours they will meet on the road

Car A:  110 km;  Car B:  140 km

Step-by-step explanation:

Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.

Let x be the time, in hours.

              Miles Travelled

Car A             (55km/h)x

Car B             (70 km/h)x

(55km/h)x +  (70 km/h)x = 250

55x + 70x = 250

125x = 250

x = 2 hours  At 2 hours they will meet on the road

              Distance Travelled

Car A             (55km/h)2 =  110 km

Car B             (70 km/h)2 = 140 km


The lawn is a circle with radius 3m.
Work out the area of the lawn.

Answers

Answer:

28.27m

Step-by-step explanation:

the formula for area of a circle is

A= π x r^2

A = π x r^2 = π x 3^2 = 28.27433

15 points!!! Please help with math

Answers

Answer:

  (b)  y -4 = 3(x -2)

Step-by-step explanation:

You are given the form

  y -y1 = m(x -x1)

and the values

  y1 =4, m =3, x1 =2

Putting these in their places gives ...

  y -4 = 3(x -2)

Write
[tex] \frac{10}{12} [/tex]
in simplest form​

Answers

[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]

Answer:

5/6

Step-by-step explanation:

10 ÷ 2/12 ÷ 2=> 5/6

Conclusion:

Therefore, the simplified form of 10/12 is 5/6.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

9

Step-by-step explanation:

The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.

Answer:

the y intercept is 0

Step-by-step explanation:

i used a slope to help me find the y-intercept

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

How many groups of are there in 30?​

Answers

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?

Answers

Answer:

The answer is 15!

Step-by-step explanation:

225 divided by 15 is 15! Hope this helps! :)

A and B are complementary angles. If A = (x – 23)° and m
B = (2x + 29)°, then find the measure of B.

Answers

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

Graph the solution to this inequality on the number line.
-3x<4.2

-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3

Answers

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

The solution to the given set of inequality is -

x > - 1.4.

What is the general equation of a Straight line? What is a linear inequality?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Name the perpendicular bisector….

Answers

Answer:

B and C

Step-by-step explanation:

I chose these bisector angles because they both are at a 90 degree angle

the reataurant started the week with blank quarts the of olive oil

Answers

Answer:

where is the question like background info

Step-by-step explanation:

9. In the figure below, Angle 1 is congruent to Angle 2.

What reason can be used to prove that mis parallel to n?

A. if a pair of verticals angles is congruent, then the lines forming them are parallel

B. If a pair of angles formed by a transversal is corresponding and supplementary, then two lines are parallel

C. If a pair of angles is congruent and the sum of their measures 180 degrees, then the line forming the angles are parallel

D. If two line are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel

Answers

Answer:

D

Step-by-step explanation:

When 2 angles are congruent and corresponding, the lines are parallel

A horse's mane grows at the rate of 6 over 5 centimeters per month.

How many months will it take the horse's mane to grow 24 over 10 centimeters?

Explain your answer using words, and show your work using division of fractions.

Answers

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

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