During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.​

Answers

Answer 1

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3


Related Questions

let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

sally has $15,208 and wants to buy a tv for 16,000 round 15,208 to the nearest hundred

Answers

Answer:

15,200

Step-by-step explanation:

Answer:

15,200

Step-by-step explanation:

208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number

hello please help will give brainliest!

Answers

Answer:

The Answer is D

Step-by-step explanation:

Do what answer D tells you to do. Obviously.

The answer is D.

if you do 280 ÷8, you get 35.

Which answer choice is equal to −(2÷3)?

Answers

Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?

Answers

Answer:

itz 5

Step-by-step explanation:

i took quiz

What is 22.16345 rounded to the nearest ten thousandths place?

Answers

Answer:

22.164

Step-by-step explanation:

Answer:

22.1635

Step-by-step explanation:

Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.

If M the m А
B
D.
С
E

Answers

what. are. you. talking. about.

Jenny & Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.

Answers

This is the correct way to solve the problem :

You add 3 and 8 together.

you see if it equals -2 or not.

I hope this helps!

Answer:

jenny the first step is to subtract 8

Step-by-step explanation:

The total price for a group of people at a restaurant is $113.40. Each person pays
$16.20. How many people argjn the group?
16 people
70 people
7 people
10 people

Answers

Answer:

7 people

Step-by-step explanation:

Which statement about -8 and
-12 is true?

Answers

Answer:they are both neagtive numbers.

Step-by-step explanation:

they say it right in front of you.

−2/3(12c−9)+14c
I need the answer

Answers

Answer:

6c+6

Step-by-step explanation:

-24/3c+18/3+14c

-8c+6+14c

6c+6


HELPPP look at the picture I’m stuck on this

Answers

Answer:

the last graph (D)

What is the midpoint of 0.13 and 0.14

Answers

the midpoint would be 0.135 because it is in the middle of 0.13 and 0.14
(0.13+0.14)/2 = 0.135

Explaining a Rule for Dividing Fractions
Explain the steps you would take to find the quotient of
1
3
÷ 4
3

Answers

Answer:

One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.

Step-by-step explanation:

Yeah

Answer:

1/4

Step-by-step explanation:

Sample response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials

Answers

Answer: The distributive property.

Step-by-step explanation:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

What is the Distributive Property?

It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.

(a + b)c = ac + bc

The given equation is an example of:

It is given that:

(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).

We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.

This is a feature of the distributive property. It is called the distributive property of multiplication.

Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.

Learn more about the Distributive Property here: https://brainly.com/question/1780105

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Find the distance between the two points in simplest radical form.
5,9 and -4,-3

Answers

Answer:

gg

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15

What does the passage state that people can do if the government fails to protect their rights? stop paying taxes create a new country stop voting in elections create a new government

Answers

Answer:

create a new government

Step-by-step explanation:

hope it helps

The passage suggests that creating a new government can be a suitable option if the existing government fails to protect people's rights.

If the current government fails to defend people's rights, the paragraph argues that forming a new government may be a viable alternative. This option may be explored because it provides the potential to create a system that is more aligned with the ideas and values that people desire in governance.

People may establish a system that prioritizes the protection of rights, assures accountability, and promotes fairness and justice by forming a new government. Individuals may use it to create new laws, rules, and a constitution that represent their chosen ideals and provide greater safeguards for their rights.

To learn more about the people's rights;

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what is a point-slope equation of the line with slope -10 that goes through the point (1,4)

Answers

Answer:

The answer is

[tex]y - 4 = - 10(x - 1)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

So we have the final answer as

[tex]y - 4 = - 10(x - 1)[/tex]

Hope this helps you

10. Solve: 3( 3x + 1)-(4x + 1) = 6x - 3(x+4)
Can’t solve this, any suggestions?

Answers

Answer:-7

Step-by-step explanation:Let's solve your equation step-by-step.

3(3x+1)−(4x+1)=6x−3(x+4)

Step 1: Simplify both sides of the equation.

3(3x+1)−(4x+1)=6x−3(x+4)

3(3x+1)+−1(4x+1)=6x−3(x+4)(Distribute the Negative Sign)

3(3x+1)+−1(4x)+(−1)(1)=6x−3(x+4)

3(3x+1)+−4x+−1=6x−3(x+4)

(3)(3x)+(3)(1)+−4x+−1=6x+(−3)(x)+(−3)(4)(Distribute)

9x+3+−4x+−1=6x+−3x+−12

(9x+−4x)+(3+−1)=(6x+−3x)+(−12)(Combine Like Terms)

5x+2=3x+−12

5x+2=3x−12

Step 2: Subtract 3x from both sides.

5x+2−3x=3x−12−3x

2x+2=−12

Step 3: Subtract 2 from both sides.

2x+2−2=−12−2

2x=−14

Step 4: Divide both sides by 2.

2x /2

=

−14 /2

x=−7

2/3x + 2/3 + 1/5x = 2/3x
Does it have one solution, no solution, or infinity many solutions?

Answers

Answer:

One solution

Step-by-step explanation

What is the solution set of the equation |2x-9| = -9

Answers

Answer:

tbh i don't kno either lol

Step-by-step explanation:

hehehe

brainliest will be awarded if uu give the correct answer:)))

- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{8}[/tex]

Answers

Answer:

[tex]-0.25[/tex]

The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.

[tex]\frac{25}{100}[/tex]

-BBBM

PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING

Answers

Answer:

180 boxes

Step-by-step explanation:

The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.

Answers

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

3.99 x 10^-2 - 1.5 10^-3


put it in scientific notation

Answers

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

To know more about an expression follow

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HELP!!!

Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.

Speed of runner:
mph

Speed of cyclist:
mph

Answers

Answer:

8 mph and 23 mph

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

Time = 10 hoursDifference in distance = 150 m

We have following equations based on the given

10c - 10r = 150c = 2r + 7

Simplifying first equation

c - r = 15c = r + 15

Comparing this with second equation

2r + 7 = r + 152r - r = 15 - 7r = 8 mph

And finding the value of c

c = 8 + 15 c = 23 mph

four ponds of banana cost $2.60. what is the cost perpond?

Answers

Answer:

.65c

Step-by-step explanation:

2.60/4 equals .65

Answer:

.65

Step-by-step explanation:

2.06 divided by 4=.65

Hope this helped!

have a random argument with yourselves

Answers

BRO WHY DO YOU GOTTA BRING ME INTO THIS

Answer:

ok

Step-by-step explanation:

Solve for x 2(-4x+2)=28

Answers

Answer:

x=-3

Step-by-step explanation:

Divide both sides by 2, so -4x+2=14

Subtract 2 from both sides, -4x=12

Divide both sides by -4, so x=-3

Answer:

4x2 = 28

Step-by-step explanation:

A fruit juice box contains 6% juice how is this percent rent as a decimal

Answers

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

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