Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12. y=-10 when x=2

Answers

Answer 1
y = 20x + 7 for instance
then just substitute the values

Related Questions

Nick is planning to drive across the country, and he is deciding between a southern route and a northern route. He uses the following pieces of information to determine the total cost of gasoline for each route: His car needs $18$ gallons of gasoline for every $396$ miles driven. The southern route is $3,102$ miles long, and the average cost of gasoline along this route is $\$2.20$ per gallon of gasoline. The northern route is $2,948$ miles long, and the average cost of gasoline along this route is $\$2.28$ per gallon of gasoline. What would be the total cost of gasoline for each route? Show your work.

Answers

Answer:305.53 northern route

210.20 southern route

Step-by-step explanation:

Answer:

Answer:305.53 northern route

Step-by-step explanation:

At a pet store, 0.3 of the sales were for dog products, 1/10 of the sales were for cat products, and 3/5 of the sales were for other animal products. What fraction of the sales were for dog and cat products? Express your answer in simplest form

Answers

Answer:

4/10 combined. ❤️

Step-by-step explanation:

i hope this helped. You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 \text{ cm}30 cm30, start text, space, c, m, end text, and the bicycle wheel makes 333 full rotations before stopping. How long is the trace of water left on the floor? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.

Answers

Answer:

565 cm

Step-by-step explanation:

Given that:

Radius of tire (r) = 30 cm

Number of complete rotations made = 3

To start with :

Obtain the Circumference : 2πr

Hence,

Circumference = 2 * π * r

= 2 * π * 30 = 6

= 188.49555 cm²

Length of trace of water left :

188.49555 * 3

565.48667

= 565cm (nearest cm)

There are 48 crayons in a box. There are 12 boxes in a carton. Mr Johnson ordered 6 cartons of crayons for the school. How many crayons did he get? 2

Answers

Answer:

he got 3456 crayons.

Step-by-step explanation:

What's the slope of (-5, 10) and (-2, -2)?

Answers

Answer:

slope: -4

equation: y = -4x – 10

4x + 3y = 1
12x– 9y=4

Answers

Answer:

x = 7/24  y = -1/18

Step-by-step explanation:

3y = -4x + 1

y = (-4/3)x + (1/3)

*plug into the other equation

12x - 9(-4/3x + 1/3) = 4

12x + 12x - 3 = 4

24x = 7

x = 7/24

*now plug into original equation

y = (-4/3)(7/24) + 1/3

y = -1/18

A company's current stock price is $50.00 and its most recent dividend was $2.00 per share. Since analysts estimate the company will have a 5 percent growth rate, what is its expected return?

Answers

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

Paul says that (3.14 X 10^5) + (2.53 X 10^4) = 5.67 X 10^5. Is Paul correct? Explain.
PLEASE I NEED HELP WITH THIS ASAP​

Answers

he is false the equation should be as follows

Paul is wrong as first he has to convert their powers to the same value with base 10.

What is scientific notation?

We use the scientific notation of numbers to write very large numbers in compact form.

In the scientific form, we write a number in the form of base×10ⁿ.

Where 0 ≤ base < 10 and n can be any rational number.

Given, Paul says (3.14 X 10⁵) + (2.53 X 10⁴) = 5.67 X 10⁵. he is wrong to add bases they must have the same power of 10.

∴  (3.14 X 10⁵) + (2.53 X 10⁴).

= (31.4 X 10⁴) + (2.53 X 10⁴).

= 33.93 X 10⁴.

learn more about exponents here :

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Your class is selling chocolates and caramel corn. Boxes of
chocolate sell for $6 each and bags of caramel corn sell for
$5 each. A total of 535 items were sold and $2889 was
raised. How many of each item was sold?
O 321 boxes of chocolate, 214 bags of caramel corn
o 214 boxes of chocolate, 321 bags of caramel corn
O 343 boxes of chocolate, 192 bags of caramel corn
0 211 boxes of chocolate, 324 bags of caramel corn

Answers

214 boxes of chocolate, 321 bags of caramel corn item was sold.

How many of each item was sold?

Boxes of chocolate sell for $6 each and bags of caramel corn sell for

$5 each. A total of 535 items were sold and $2889 was

raised.

set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 -x) bags,

and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

so 6 x+ 5.(535-x) = $2889.

6 x+ 5.535-x = $2889.

6 x+ 2675 - 5x = $2889.

6x - 5x =2889-265

x =214

so the caramel corn was sold 535-x =535-214 = 321

214 boxes of chocolate, 321 bags of caramel corn was sold.

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Caramel corn bags cost $5 apiece, while chocolate boxes cost $6 each. 535 products in total were sold, bringing in a total of $2889 then there exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

How to estimate the value of x?

Any one of the forms, including addition, subtraction, multiplication, and division, should be used for the algebraic expression. Bring the variable to the left side and the other values to the right side in order to find the value of x. To find the answer, simplify the values.

Let set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 - x) bags, and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

From the given information, we get

6x + 5(535 - x) = $2889

simplifying the above equation, we get

6x + 5 × 535 - 5x = $2889

6x + 2675 - 5x = $2889

6x - 5x = 2889 - 265

x = 214

So the caramel corn was sold = 535 - x

Substitute the value of x in the above equation, we get

= 535 - 214

= 321

There exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

Therefore, the correct answer is option b) 214 boxes of chocolate, 321 bags of caramel corn.

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helpp i need help with khan

Answers

Answer:

1. 1.5 milliliter

2. 2/3 millileter

Step-by-step explanation:

I did this earlier today lol

Answer:

Step-by-step explanation:

150/100

1.5 ml of soy sauce per ml of vinegar

100/150

2/3 (or 0.666) ml vinegar per ml of soy sauce

What is another name for Plane P below?




A.
plane B

B.
plane n

C.
plane ABC

D.
plane BAD

Answers

Answer:

is. there. a. picture

Step-by-step explanation:

Show that each of the following values for the given variable is a solution to the
given equation. Show the calculations that lead to your answer.
(a) 3x + 4 = 7
for x = 1

Answers

                                                      Part a)

Answer:

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

Step-by-step explanation:

Given the equation

[tex]3x + 4 = 7[/tex]

solving the equation for x = 1

substituting the value of x = 1 in the equation

[tex]3\left(1\right)+\:4\:=\:7[/tex]

[tex]7=7[/tex]

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

                                                     Part b)

Answer:

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

Step-by-step explanation:

Given the equation

[tex]\frac{x-3}{2}=6[/tex]

solving the equation for x = 15

substituting the value of x = 15 in the equation

[tex]\frac{15-3}{2}=6[/tex]

[tex]\frac{12}{2}=6[/tex]

[tex]6=6[/tex]

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

                                                   Part c)

Answer:

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2=-2x+3[/tex]

solving the equation for x = -3

substituting the value of x = -3 in the equation

[tex]x^2=-2x+3[/tex]

[tex]\left(-3\right)^2=-2\left(-3\right)+3[/tex]

[tex]9 = 6 + 3[/tex]

[tex]9 = 9[/tex]

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Daisy's Flowers sell a rose bouquet for $39.95 plus $2.95 for every rose. A competing florist sells a similar bouquet for $26.00 plus $4.50 for every rose. Find the number of roses that would make both florists' bouquets cost the same price.

Answers

Answer:

9 roses

Step-by-step explanation:

Step one:

given data

For Daisy's Flowers

the cost is $39.95

an additional $2.95 for every rose

let the number of rose be x

the linear model for the cost is

y=39.95+2.95x-----------1

Step two

For  the competing florist  

the cost is $26

an additional $4.5 for every rose

let the number of rose be x

the linear model for the cost is

y=26+4.5x------------2

Step three:

equating the two above equations to find the number of roses x

we have

39.95+2.95x=26+4.5x

solve for x

39.95-26=4.5x-2.95x

13.95=1.55x

divide both sides by 1.55

x=13.95/1.55

x=9

Hence the number of roses that would make both florists' bouquets cost the same price is 9 roses

An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.



Do not include units, %, in your answer.

Answers

Answer:

it is 16.7

Step-by-step explanation:

1. Is this relation a function? Explain.

2. Is this relation linear? Explain.


Pls help this is due soon

Answers

yes its a function because it passes the vertical line test. Yes, it is linear because the slope is constant.

PLZ ANSWER!! ONLY IF YOU ARE CORRECT (SELECT ALL THAT APPLY)

Answers

Answer:A, C, and D

Step-by-step explanation:

2. * DE is a midsegment of triangle ABC. Find the value of X.

Answers

Answer:

x = 8.5

Step-by-step explanation:

Based on the Midsegment theorem, the midsegment, DE is half the length of BC.

Given that BC = 17, therefore:

DE = ½*(17)

DE = 8.5.

x = DE = 8.5

Select all the statements that show correct reasoning for finding 15÷29. A Multiply 15 by 2, then divide by 9Multiply 15 by 2, then divide by 9 B Multiply 15 by 9, then divide by 2Multiply 15 by 9, then divide by 2 C Multiply 15 by 19, then multiply by 2Multiply 15 by 1 ninth, then multiply by 2 D Multiply 15 by 9, then multiply by 12

Answers

Answer:

None of the statements given in the options show the correct reasoning for finding 15÷ 29

Step-by-step explanation:

We are asked to find which of the statements below corresponds to: 15÷29.

15 ÷ 29 =

0.5172413793

= (10 + 5) ÷ 29

= (10 ÷ 29) + (5 ÷ 29)

= 0.5172413793

None of the statements given in the options show the correct reasoning for finding 15÷ 29

Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
Please solve this and show your calculation.
If you don't know please don't answer.

Answers

Answer:

[tex]\boxed{x^4 + x^2 + x}[/tex]

Step-by-step explanation:

[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]

[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]

[tex]= x^4 + x^2 + x[/tex]

I need help with this question 2x<6

Answers

Step-by-step explanation:

2x=6

x=6

2

x=3 ans

hope it help u

Write two numbers that multiply to the value on top and add to the value on bottom.

Answers

Answer:

8 and 3 is your answer

mark beyondledend answer as brainlist

A. 3(x + 2) = 18
B. X + 2 = 18

Answers

Answer:

A. x=4

B. x=16

Step-by-step explanation:

A. multiply out: 3x+6=18

subtract 6 from both sides: 3x=12

divide both sides by 3: x=4

B. subtract 2 from both sides: x=16

SOMEONE PLEASE ACTUALLY HELP MEEE!!!!! Write an example of the Identity Property of Addition using the number 43.

Question 5 options:

43 x 0 = 0


43 x 1 = 43


43 + 0 = 43


40 + 3 = 43

Answers

Answer:

40 + 3

Step-by-step explanation:

=43. you dont need to use it for 0, even though that's adding too. and multiplying isnt addition.

Jerome hiked three-fourths of a mile in two-thirds of a hour. What was his hiking speed in miles per hour.?

Answers

Answer : Speed = distance/time.

(3/4)/(2/3) = 3/4 x 3/2 .

9/8 or 1  1/8 miles per hour

Step-by-step explanation:

i really dont know<3

Every month the library hosts a family movie night. This month, 50 people attended the movie night. This was two more than three-fourths of the total number of people who attended the movie night last month. Write and solve an equation to determine how many people attended last month's family movie night. Use x as the variable.

Answers

Answer:

64 people

Step-by-step explanation:

Let the number of people that attended the movie last month be represented by x.

Number of people who attended the movie this month = 50

[tex]\frac{3}{4}[/tex] of x + 2 = 50

[tex]\frac{3x}{4}[/tex] + 2 = 50

[tex]\frac{3x}{4}[/tex] = 50 - 2

[tex]\frac{3x}{4}[/tex] = 48

3x =  48 x 4

3x = 192

x = 64

The number of people that attended the movie last month was 64.

If Y (-7,-4) and (5,2), find the slope of a line perpendicular to YZ. Please help if you can

Answers

Answer:

-2

Step-by-step explanation:

The slop of YZ is 1/2. The slope perpendicular would be opposite, making it -2.

Answer:

- 2

Step-by-step explanation:

Calculate the slope m of YZ using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = Y(- 7, - 4) and (x₂, y₂ ) = Z(5, 2)

m = [tex]\frac{2+4}{5+7}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

A group of 32 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip.

Answers

Answer:

probability is 1/24

Step-by-step explanation:

the operation * on the set R, of real numbers is defined by:
p * q =p3 + q3- 3pq; p,q€R
Is the operation * commutative in R?​

Answers

Answer:

y=Mx+b

Step-by-step explanation:

Sorry if I wasn’t specific on the list question but it’s like this pls help ASAP

Answers

Answer:

12 sugars and 24 flour

Step-by-step explanation:

if 4 x ( times ) 3 = 12,

8 x 3 = 24.

Answer:

Multiply by 3

Here is an equation that represents a function: 72x+12y=60.
Select all the different equations that describe the same function:
A.120y+720x=600
B.y=5-6x
C.2y+12x=10
D.y=5+6x
E.x=5/6-y/6
F.7x+2y=6
G.x=5/6+y/6

Answers

The equivalent equations to  72x+12y=60 are:

120y + 720x = 600y  =  5  -  6xx  =  5/6  -  y/6

Equivalent Equations

The given equation is:

72x+12y=60

To find the equivalent equations, follow the steps below

Multiply the equation 72x+12y=60 by 10

10(72x) + 10(12y) = 10(60)

720x  +  120y   =  600

Divide the equation 72x+12y=60 by 12

(72x/12)  +  (12y/12) = 60/12

6x  +  y   =  5

y  =  5  -  6x

Divide the equation 72x+12y=60 by 72

(72x/72)  +  (12y/72) = 60/72

x  +  y/6  =  5/6

x  =  5/6  -  y/6

The equivalent equations to  72x+12y=60 are:

120y + 720x = 600y  =  5  -  6xx  =  5/6  -  y/6

Learn more on equivalent functions here: https://brainly.com/question/2972832

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Which one is correct? what additional information is needed that the following triangle are congruent by SSS Which equation can be used to represent the statement? Half of a number minus seven is one and five-tenths. One-half + x = 1.5 One-half x minus 1.5 = 7 StartFraction x over 2 EndFraction minus 7 = 1.5 7 minus StartFraction x over 2 EndFraction = 1.5 A UI text element must be added to ______.an empty background container game objecta prefaba slot game objecta tray objecta canvas Can someone please answer these for me!!1. This type of nutrient is needed in large amounts and includes proteins, fats, and carbs. A- Minerals B- Macronutrients C- Micronutrients2. This macronutrient is the building block for the bodys tissues?A- Carbohydrates B- Proteins C- Fats D- Vitamins 3. The starches and sugars found in food; especially in plant-based foods. They are the main sources of energy. A- Carbs B- Proteins C- Fat D- Vitamins 4. Nutrients to promote normal growth, give you energy, and keep your skin healthy. There are two types of saturated fat and unsaturated fat. A- Fats B- Proteins C- Carbs D- Nutrient5. How many calories per gram come from fat? A-6 B- 4 C-9 6. How many calories per gram come from carbohydrates? A-9 B-5 C-47. Which statement is considered a function of proteins?A- growth, repair, and maintenance of body cells and tissuesB-to provide the body with fat-soluble vitaminsC-to give body insulating layer8. Which statement is considered a function of fat? A- growth, repair, and maintenance of body tissuesB- Act as a source of fiber in your dietC-to protect our vital organs9. Which statement is a function of carbohydrates? A- provide us with energyB- To give our bodies and the insulating layer in order to maintain body temperatureC- To protect our vital organs10. Which statement best describes the effect that simple sugars (carbs) have blood sugar levels? A-raise blood sugar levels quicklyB- they raise blood sugar levels slowly over a long period of timeC- They have no impact on blood sugar levels11. Which is a list of sources of carbs? A- chicken, fish, eggs B- Bread, rice, pasta, and red meatC- Bread, rice, pasta, and potatoes12. The risk of obesity, heart disease, and cancer is increased by a diet that is : A- trans fat B- saturated fat C- cholesterol D- all of the above13. Essential amino acids are: A- vitamins that dissolve in fatB- the nine amino acids the body cant produceC- come from greens, legumes, nuts, and seedsD- are units of energy produced by proteins14. Which of the following is the best source of omega-3 fatty acids? A- steak B- fish C- pork D- corn oil 15. What is the daily percentage total recommended for Carbohydrates? A- 60-75% B- 10-25% C-45-65%16. Keto diet consists of:A- high protein diet B- high-fat diet 17. An example of a complex carbohydrate? A- fruits B- vegetables C- whole grains18. What is the daily presentable total recommended for Proteins? A- 45-65% B- 5-20% C- 10-35%19. Which type of fat should be consumed in moderation? A- trans fatB- polyunsaturated fatC- saturated fat 20. Olive oil is high in what type of fat? A- saturated fatB- trans fatC- monounsaturated fat Stephon went to the Griffin Fair with $25.50. He bought a hot dog and a drink for $4.25, and he wanted to spend the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he can buy? How does the poems use of internal rhyme contribute to the tone of the raven translate the phrase by finding the infinitive and conjugating it to match the subjectshe teaches: ella which equation represents the line passing through the points (3, 2) and (-9, 6)? Which instrument is NOT an African instrument?a. GankougiB. Maracas C. Dunun D. Djembe Which of the following are results of the Voting Act of 1965? Check all that apply* Fewer legal barriers exist to prevent African Americans from voting. More discriminatory voting laws have been created. Fewer African Americans are registered voters. More tools are available to the federal government to ensure equal voting rights. please help! its a true or false question plssss! Which expression is equivalent to x-4? I need help with this ASAP Which expression is equivalent to cos120?THE ANSWER IS 240 EDGE 2020 What evidence did the popes use to support their claim to be the head of the Church? ^O^ HELP PLZZZZ 10P due today !!! Ty ~O~ Which group sought religious freedom in the new England colonies PLEASE HELPWhat did Harry learn by reading the page that had been in Hermione's fist?A. The Chamber's monster often traveled during full moons.B. Tom Riddle had once received a Medal for Magical Merit.C. The tears of the phoenix have healing powers.D. The crowing of the rooster is fatal to the Basilisk. Spanish translation