Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.

When y=45 , x=40 .

Please Help Me The Variables X And Y Are Proportional. Use The Values To Find The Constant Of Proportionality.

Answers

Answer 1

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x


Related Questions

You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided

Answers

Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.

First thing to do is to add up the numbers in the ratio:

= 1 + 2 + 0.5

= 3.5

The amount that Zach invested is:

= Zach's ration/ Sum of ratio x Amount invested

= 1 / 3.5 x 360,000

= $102,857.14

In conclusion, Zach invested $102,857.14.

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A large grouper can weight 1/4 ton. how much does a large grouper weight to the nearest pound. [ please help ]

Answers

Answer:

500 pounds

Step-by-step explanation:

Step-by-step explanation:

To do this divide 2000 by 4.This will give you around 500.

brantty works 21.5 hours every week . if she earns 8.50 per hour how much does she earn in one week round part a to the nearest dollar

Answers

Step-by-step explanation:

1 hour - $8.50

21.5 hours (one week) - $8.50 × 21.5 = $182.75

One week = $183

14/3, 343/32, 26/3 all in its simplest form

Answers

Answer:

Step-by-step explanation:

14/3 = 4⅔

343/32 = 10 ²³/₃₂

26/3 = 8⅔

What is the nth term of each linear pattern?


a) 5.4, 8.4, 11.4, 14.4, 17.4...




b) 85, 80, 75, 70...




c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2

Answers

a) 2.0+3.4n

b)90-5n

c)33 1/2+5n

HELP NO LINKS THOUGH!!!!!!!!

Answers

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore, the answer is :

[tex]\sf \frac{16}{21} [/tex]

[tex] = > 1 \frac{1}{3} \div 1 \frac{3}{4} [/tex][tex] = > \frac{4}{3} \div \frac{7}{4} [/tex][tex] = > \frac{4}{3} \times \frac{4}{7} [/tex][tex] = > \frac{16}{21} [/tex]

B. If the point are in line ( vertical) then it is not a functiom

Answers

Answer:

True.

Step-by-step explanation:

If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.

Jenny has five basketball to treat soccer balls what fraction of the balls are basketballs​

Answers

Answer:

5/8

Step-by-step explanation:

there is 8 total and 5 of them are basketballs

PLSSSSS HELP>>>>>>>>>>>>>>>>>>>>>>>

When 4/15 is written as a decimal, how many digits are in the smallest sequence of repeating digits? A. 3 B. 2 C. 1 D. 0

Answers

Answer:

C. 1

Step-by-step explanation:

We have to convert   4/15  into decimal.

Divide 4 by 15

When we divide 4 by 15, we get 0.26666666666.....

 

As we can see that, the number 6 is repeating

Only one digit is repeating

Hence, the correct answer is one 6

Please help! Thanks!: If a 95% confidence interval was being calculated using the following expression:

3.2 ± 1.96 ⋅ 1.1

What would be the margin of error for this confidence interval?
If you can please give an explanation on how to solve?

Answers

The confidence interval can be calculated from the margin of error, and vice versa,

The margin of error of the confidence interval is 2.156

The confidence interval is given as:

[tex]\mathbf{CI = 3.2 \pm 1.96 \cdot 1.1}[/tex]

The formula of confidence interval is:

[tex]\mathbf{CI = \bar x\pm E}[/tex]

Where E represents the margin of error.

So, by comparison:

[tex]\mathbf{E = 1.96 \cdot 1.1}[/tex]

Multiply

[tex]\mathbf{E = 2.156}[/tex]

Hence, the margin of error of the confidence interval is 2.156

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77=(?+8.1)+7.4

What is the solution to “?”

Answers

Answer:

61.5

Step-by-step explanation:

61.5 + 8.1 + 7.4 = 77

you're welcome

Write slope intercept form of th equation of each line

Answers

Answer:

y = 8/5x + (-4) or y = 8/5x -4

Step-by-step explanation:

Slope-intercept form is written like this:

            y = mx + b

The variable m, represents slope and b, represents the y-intercept.

To find slope, you have to find the rise/run or in other words, change of y over change of x.

From the look of the line, the slope has to be positive because the line is going up.

To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.

Now for the y-intercept. This part is easy. Just ask yourself this...

"Which of the two points is on the y-axis?"

In this case, it is the bottom point which is -4.

So your equation should look like this:

y = 8/5x + (-4)

   or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.

hope this helps :)

draw a diagram for this fraction

7/2​

Answers

Answer:

You can't draw a diagram for a improper

fraction

Find the distance between points A(−1, 5) and B(0, 4) to the nearest tenth.

Answers

Answer:

1.4

Step-by-step explanation:

Use the distance formula

d= √(x2-x1)² +(y2-y1)² , where x1, x2, y1, y2 are the coordinates of the points

A(x1 = −1, y1 =  5) and B(x2 = 0, y2 = 4)

d= √(0 - -1 )² +(4 - 5)²

d= √(1)² +(-1)²

d= √2

d= 1.414213562, round to the nearest tenth

d≈ 1.4

A color printer prints 5 pages in 9 minutes.
How many minutes does it take per page?

PLS HELPPPPPP

Answers

Answer: 1.8

Step-by-step explanation: Divide 9/5

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.

Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.

Let RRR represent the number of additional rolls that Sofia orders.

1) Which inequality describes this scenario?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100


(Choice B, Checked)

B

12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100


(Choice C)

C

24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100


(Choice D)

D

24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,

Answers

Inequalities are used to represent unequal expressions.

The inequality is [tex]24 + 8R \ge 100[/tex]

The given parameters are:

[tex]Paid = 24[/tex]

[tex]Rolls = 12[/tex]

[tex]Cost = 8[/tex] --- the unit cost per roll.

Assume the number of additional roll is R.

So, the total number of sushi is:

[tex]Total=Paid + Cost \times R[/tex]

This gives

[tex]Total=24 + 8\times R[/tex]

Multiply 8 and R

[tex]Total=24 + 8R[/tex]

The sushi needed is at least 100.

This implies that:

[tex]Total \ge 100[/tex]

So, we have:

[tex]24 + 8R \ge 100[/tex]

Hence, the inequality is [tex]24 + 8R \ge 100[/tex]

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Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11

Answers

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.

Factor this completely thank you

Answers

Answer:

4(2x raise to power 2-4-7x)

Solve: 2x^2 -x >15 Show your work.

Answers

Step by step explanation

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours

Answers

Answer:

82.5 miles in 1 1/2 hours

Step-by-step explanation:

Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.

55 miles = one hour

2 hours = 110 miles

1 1/2 hours = 55 ÷ 2 = 27.5

55 + 27.5 = 82.5 miles

82.5 miles

Hope this helps

Factor the following expression. x^2+9x+8

Answers

Answer:

(x+1)(x+8)

Step-by-step explanation:

I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.

Howards baseball team won 7/10 of its game. Jeremys team won 2/5 of its game. They both played the same number of games. Whose team won more games, or did they win the same amount?

Answers

Answer:

Jeremy's team won more games

Step-by-step explanation:

Let's transform these fractions into ratios:

[tex]\frac{7}{10} =7:10\\\\\frac{2}{5} =7:10[/tex]

Then, simplify:

[tex]7:10[/tex] ≈ [tex]1:1.4[/tex]

[tex]2:5=1:2.5[/tex]

Finally, compare:

[tex]1:1.4\neq 1:2.5[/tex]

Result:

Jeremy's team won more games since [tex]1:2.5>1:1.4[/tex]

Note:

The way I simplify the ratios may be confusing so here is a quick explanation;

Make the smaller of the two numbers in the ratio into one then divide the larger number by the smaller number for the other part of the ratio

Example:

5:10

5 turns into 1

10 divided by 5 equals 2

Simplified Ratio: 1:2

Jeremy won more games than Howard.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Howard Team won = 7/10

Jeremy team won = 2/5

Now, taking LCM (5, 10)= 10

So, Jeremy team won = 2/5

                                     = 4/10

So, Jeremy won more games than Howard.

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deleteddddddddddddddddd

Answers

Answer:

i do not think it is possible to delete a question after you have posted it. if i were you i probably would have just edited it and save myself the emmbarasment

Step-by-step explanation:

A store pays $85 for a picnic table and marks the price up by 25%. What is the new price ​

Answers

The answer would be 106

Write a possible equation for a polynomial with zeros at -4, -5, 0, 1/3.

Answers

[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]

[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]

convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest​

Answers

1 cup = 8 ounces
25 cups = 200 ounces

200 ounces divided by 8 ounces = 25 cups

3 bombas de agua llenan una piscina en 10 días trabajando 5 horas diarias.

Si hay 5 bombas de agua, ¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?

Answers

5 bombas deben trabajar durante 4 dias para llenar la piscina.

¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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This class is algebra

Answers

Answer:

y = -1/2

Step-by-step explanation:

   (3x + 4y = 4)

+

   (2x - 4y = 6)

______________

   5x = 10

   x = 2

plug in x for any of the two equations ....

2(2) - 4y = 6

4 - 4y = 6

-4y = 2

y = -1/2

Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?

Answers

28 units i think. Since they are similar

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.

A 2-column table with 9 rows titled Height of Penny over Time. The first column is labeled t with entries 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8. The second column is labeled h(t) with entries 2, 1.951, 1.804, 1.559, 1.216, 0.775, 0.236, negative 0.401, negative 1.136.
To the nearest tenth of a second, how much time would it take the penny to hit the ground?

0.5 seconds
0.6 seconds
0.7 seconds
0.8 seconds

Answers

Answer:

Step-by-step explanation:

as the chart is broken into steps with the same precision we're looking for. Just choose the one where height is closest to zero or 0.6 s

To do it mathematically

The equation is

h = 2 - ½gt²

to find g, plug in a time and height

0.236 = 2 - ½g(0.6²)

g = 9.8 m/s

check another one just to be sure

1.559 = 2 - ½(9.8)0.3²

1.559 = 1.559

now plug in zero elevation with an unknown time

0 = 2 - ½(9.8)(t²)

-2 = - ½(9.8)(t²)

t² = 4/9.8

t = 0.6388765...

t = 0.6 s

The time it takes for the penny to hit the ground is about 0.6 seconds.

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To determine the time it takes for the penny to hit the ground, we need to find the point where the height of the penny is equal to zero.

Looking at the table,

We can see that the height of the penny is negative when t = 0.7 and becomes more negative for larger values of t.

So the penny must hit the ground between t = 0.6 and t = 0.7 seconds.

Now,

We can use linear interpolation to estimate the time at which the height of the penny is zero by finding the equation of the line that passes through the two points closest to zero on the table, namely (0.6, 0.775) and (0.7, -0.401).

So,

The slope of the line passing through these points.

= (change in height) / (change in time)

= (-0.401 - 0.775) / (0.7 - 0.6)

= -1.176

The equation of the line passing through these points.

y - 0.775 = -1.176(x - 0.6)

Simplifying

y = -1.176x + 1.438

Setting y to zero and solving for x.

0 = -1.176x + 1.438

x = 1.438 / 1.176

x ≈ 1.22

Therefore,

To the nearest tenth of a second, the time it takes for the penny to hit the ground is about 0.6 seconds.

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