A runner runs 15 miles in 3 hours. Find the constant of proportionality (k), that relates the miles, y, to the time, x. Also, write the equation (y = kx) for this relationship.

Answers

Answer 1

Answer:

y=10x; y is the miles driven, x is the hours driven

Step-by-step explanation:

The independent variable is x, and the dependent variable is y.


Related Questions

Mike Mowed 5 Lawns last week and 7 lawns this week and earned $180. He earned the same amount mowing each lawn. How much did Mike earns mowing each lawn?

Answers

Answer:

15

Step-by-step explanation:

urgent please help!! serious answers only

Answers

Answer:

The blank is 37.

Step-by-step explanation:

Ok. So 67 + 76 = 143.

Next since all triangles should be 180°

We know that since 180 - 143 = 37 the last angle should be 37.

May I please have Brainliest?!?

- hermionia

simplify the complex fraction 7/10 -2/5 then rewrite the complex fraction what's the answer please

Answers

Answer:

7/10-2/5 = 7/10 - 4/10 = 3/10

What is the length of each leg
the triangle below?

A. 5.6
B. v32
C. 16
D. 4v2
E. 16v2
F. 1

Answers

E is the answer. Since it’s a 45 45 90 triangle the rules are the hypotenuse is equal to x squareroot of 2 while the two other sides are just equal to x. If Xv2= 32 then the two sides (x) must be equal to 16v2

The length of each leg of the given triangle is 16√2.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The length of the leg is calculated by using the angle property. Use sin angle to calculate each leg.

First leg,

Sin45 = P / H

1 / √2 = P / 32

P = 32 / √2

P = 16√2

Second leg,

Sin45 = P / H

1 / √2 = P / 32

P = 32 / √2

P = 16√2

Therefore, the length of each leg of the given triangle is 16√2.

To know more about triangles follow

https://brainly.com/question/17335144

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simplify the following expression 3 [(x^3-7x+1)-(x+4)]

Answers

Answer: 3x^3−24x−9

Step-by-step explanation: 3(x^3−7x+1−(x+4))

=(3)(x^3+−7x+1+−x+−4)

=(3)(x^3)+(3)(−7x)+(3)(1)+(3)(−x)+(3)(−4)

=3x^3−21x+3−3x−12

=3x^3−24x−9

Combine like terms in the expression 7a-4b+5b-a

Answers

Answer:

6a+b

Step-by-step explanation:

pls mark me brainliest

PLSSSS HELP WILL MARK BRAINLIESTTT
QUESTION 15

Answers

it’s both (0,-2) and (-6,0) though

8(0.25n-2)+n=-0.5(8-4n)

Answers

The answer should be n = 12. Hope this helps.

Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

The variabies y and z have a proportional relationstip, and y= 25 when x=60
What is the value of x when y= 30
X-25
X-36
X=50
X=72

Answers

Answer is X=72 because you divide both by five then when u get five is equaled to 12 X you then multiple by 6 to get 30 Y and the X is 72

A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall? ​

Answers

Answer:

[tex]6[/tex]

Step-by-step explanation:

if

[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]

Which expression is equivalent to p.q.q.q.q.q.q.q.q.q?

Answers

the expression equivalent would be p•q^9

Evelyn earns $8.00 per hour. How much does she earn in 4 hours?

Answers

Answer:

32 dollars

Step-by-step explanation:

Answer:

Evelyn earned $32.00 in 4 hours.

Step-by-step explanation:

To solve this question, just multiply 8 by 4.

8 x 4 =$32

Therefore, Evelyn earned $32.00 in 4 hours.

Hope this helps! :D

An endangered species of fish has a population that is decreasing exponentially (A=A 0 e^ H ) population years ago was 1,900 . Today, only 800 of the fish are alive. Once the population drops below 100the situation will be irreversibleWhen will this happenaccording to the model? (Round to the nearest whole year

Answers

Answer:

gftdtghhgjyggxfdhjhliij

Step-by-step explanation:

Which model shows two equal expressions when the value of X is 4

Answers

Answer:

A

Step-by-step explanation:

A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs

Answer:

A

Step-by-step explanation:

At Royston's favorite clothing store, the cost of a pair of jeans is $4 more than twice the cost of a shirt. The cost of a pair of dress pants is $2 less than 2.5 times the cost of a shirt. If the cost of a shirt is s dollars and Royston purchased 1 pair of jeans and 1 pair of dress pants, which expression represents the total amount he spent in terms of s?​

Answers

Answer:

[tex]s^{2} 2.5 + 2[/tex]

Step-by-step explanation:

Answer:

4.5s+2

Step-by-step explanation:

what is 30 percent of 64?

Answers

Answer:

19.2

Step-by-step explanation:

I did the math by dividing the percentage and total

Use this picture to answer the questions below.

Answers

What- what are the questions

You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out

Answers

Answer:

the average times per week that college students across the nation eat out lies within these 95% confidence interval

      [tex] 3.938  <  \mu < 4.062 [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is n =  1501

    The sample mean  is  [tex]\= x = 4[/tex]

      The standard deviation is  [tex]\sigma = 1.5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96  *  \frac{1.5 }{\sqrt{1501} }[/tex]

=>   [tex]E = 0.06196 [/tex]

Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is  mathematically represented as

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]4  -0.06196  <  \mu < 4  + 0.06196[/tex]

=>   [tex] 3.938  <  \mu < 4.062 [/tex]

Hence the true average times per week that college students across the nation eat out lies within this interval

What is 0.2 , ( - 1.78)?

Answers

Answer:

-1.48

Step-by-step explanation:

I do 0.20+0.40=70+8+0.78+1=1.78

image to help also needed asap :/

Answers

Answer:

Its c/2

Step-by-step explanation:

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i think its c but im not sure

Answers

Answer:

Its B

Step-by-step explanation:

A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many cows does the farmer have?

Thanks in advance, I really appreciate it :)

Answers

Answer:

Step-by-step explanation:

lets note a= chickens

b=cows

a+b=46

also = chickens has 2 legs, cow=4 legs

2a+4b=156..........we divide this equation by 2 so we can work with smaller numbers

a+2b=78 or we cam write a=78-2b

lets replace in the first equation a+b=46

78-2b+b=46

-b=46-78

-b=-32  multiply by -1

b=32

so we have 32 cows with 128 legs

a+32=46

a=14 chickens with 28 legs

HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?


19 + 0.75n <50

19 + 0.75, n , <50

38 + 0.75n <50

38 + 0.75, n , <50

19 + 0.75n ≤50

19 + 0.75, n is less than or equal to, 50

38 + 0.75n ≤50

Answers

I really don’t know I’m sorry:(

Answer:

bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')

Step-by-step explanation:

WILL MARK BRAINLIEST!!

Answers

Answer:

only p(x)

Step-by-step explanation:

The others have a restricter domain

PLEASE ANSWER I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST

Answers

Answer

x to 0

10 to 350

hope that helps you:)

please mark me brainiest

tryna get 3 brainiest

If the Age of a tree was predicted to be 800 years old using the regression equation, y = 4.39x - 6.77, what did the Diameter have to be?

Answers

Answer:125cm

Step-by-step explanation:

I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?

Answers

Answer:

After the passage of a month, the interest that Tori must pay will be $ 4.81.

Step-by-step explanation:

Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:

12 = 21

1 = X

21/12 = X

1.75 = X

((300 - 25) x 1.75 / 100) + 300 = X

4.81 + 300 = X

304.81 = X

Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.

Write a linear equation that is parallel to 5x+2y=-8 and passes through the point (8,-9)

Answers

Answer:

y= -5/2x+11

Step-by-step explanation:

You want to first reorder the equation into slope intercept form

First subtract 5x from both sides

5x-5x+2y = -8-5x

It should look like:

2y = -5x - 8

Then isolate your y variable

Since the y is multiplied with 2 divide by 2 to isolate and remember to divide the other side as well

It should look like:

2y/2 = -5/2x -8/2

This will result in y = -5/2x - 4

Now since the line is parallel the slope will be the same but to pass through a different point the y intercept will have to change.

Re make your equation and you have:

y = -5/2x + b

Now plug in your (x,y) value for the x and y in the slope intercept form.

-9 = -5/2(8) +b

Now solve for b:

-9 = -40/2 +b

-9 = -20 +b

Isolate your y intercept by adding 20 to both sides

-9 + 20 = -20 + 20 +b

which results with b = 11

Now you have all components to your final slope intercept form giving you the answer

y = -5/2x + 11

Grandma’s Guide to Cooking Measurements

Dried Seasonings



1 pinch = 2 smidgens

1 dash = 2 pinches

1 sprinkle = 3 pinches

1 teaspoon = 8 dashes

Based on Grandma's guide to cooking, how many pinches are in one teaspoon?

Answers

your answer is gonna be 16

Using proportions, it is found that there are 16 pinches in one teaspoon.

This question is solved by proportions, using a rule of three.One dash has 2 pinches. One teaspoon is the same as 8 dashes. How many pinches are there in 8 dashes?

Hence, the rule of three is:

1 dash - 2 pinches

8 dashes - x pinches

Applying cross multiplication:

[tex]x = 2(8) = 16[/tex]

There are 16 pinches in one teaspoon.

For a similar problem also involving proportions, you can check https://brainly.com/question/24372153

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plz help me I need this!! What does a reader need to know before reading a story As a result of the passage of the Seventeenth Amendment to the Constitution, U.S. senators are now selected by a) direct popular voteb) indirect political party votesc) the electoral college processd) appointment of the governor Which group of synonyms has the same meaning of theword suspend in the sentence below?They plan to suspend a large crescent moon over the theatre stage.1. postpone2. remove 3. hang4. dissolve i need help please!!!!!! 3(n + 4) = 15 What is the n? Help me please I hate right and doing this uhh Drag and drop the tiles to put the social classes in order from highest to lowest.Non-ChineseSouthern ChineseMongolsNorthern Chinese The forced migration of the Cherokee Indians 1838-39. Distribute: 2x ( 3 + 8x) * Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make? I need help asap Less then 5 minutes So this is a personal problem please helpSo...I knew this girl for about 6-8 years and we been doing everything together but Yesterday I found out she was talking behind my back and I dont know what to do I know I should not talk to her anymore or be friends but she doesnt know I know that she was talking behind my back how do I tell her???? Which statement best describes the economic concept of scarcity? In "The Adventures of Theseus," Theseus has a choice: He can take the easier and safer route to Athens by sea, or he can take the more dangerous land route. Theseus decides to travel to Athens by land. How does Theseus's decision help develop the plot? A biologist pollinates a true-breeding yellow flower with pollen from a true-breeding red flower of the same species. All of the F1 offspring are yellow. What question can be answered with the F2 cross? 1. An agency is given detailed authority to issue rules similar to the power of statutes with _____ rule making.A) specific B) interpretive C) substantive D) intrusive 2. A(n) ____ of the executive or legislative branches of government permits the formation of an administrative agency.A) administrative deedB) enabling actC) administrative contactD) legislative doctrine please help, or if anyone has the full exam answers pls link them Please do all of i will give you brainlest and thanks to best answer plz do it righ please HELPPPPPPPPPPPPP 15PTS PLEASE HELP ASAP!(dont write random answers pls)look at the pic attached: