Brianna walks at a steady rate of 3.5 miles per hour. Write a direct proportion equation based on this statement. Identify all variables and the constant of proportionality. Explain what the constant of proportionality means in this situation

Answers

Answer 1

Answer:

Step-by-step explanation:

Based on the information provided we can create the following direct proportion equation...

D = 3.5x

In this equation, the variable D represents the distance that Brianna has walked while the variable x represents the number of hours she walked. In this equation, the constant of proportionality would be the 3.5 miles that Brianna walks per mile. This value affects the entire equation because it is multiplied by the number of hours Brianna walks which is directly proportional to the Distance she travels, as one value increases so does the other.


Related Questions

match the vocabulary with its definition

prime number

composite number

prime factorization

factor tree

Answers

prime number = numbers greater than 1, they only have two factors. 1 and the number itself.

composite number = positive integer, multiplying two smaller positive integers.

prime fact. = finding what the prime numbers are and then multiplying them.

factor tree = pretty self-explanatory. all of the numbers spread out into a way so that you can multiply them. for example, (image attached). hope this helps!!

In most cells there is a narrow window of time during-which DNA is synthesized.
Which of the following words, if it replaced the word “synthesized” in the sentence above, would CHANGE the meaning of the sentence¿

Answers

I dont know sorry but i bet someone else knows

What is the slope of the line that contains the points (4, 3) and (13, 6)
m=3
m=1/3
m=3/5
m=-3/5

Answers

the answer is the third 3/5

Jordyn saved $75 in two months. If Jordyn continues saving at this rate, how much will she have saved in 12 months?$_________ *

Answers

Answer:

1,875

Step-by-step explanation:

75x25=1,875

What is the sum of 3x + 2y - z and -5x + 7y + z

Answers

Answer:

-2x + 9y

Step-by-step explanation:

(3x+2y-z)+(-5x+7y+z)

3x+2y-z-5x+7y+z

-2x+9y

Answer:

you would have add the x z

Step-by-step explanation:

add that first then do the numbers

y = 6x - 17
3х - бу = -30

Answers

Answer:

the y one is 3.8

the 3x one is 6

Step-by-step explanation:

Which of the following 1/6 is closest to?
1/2
1
0

Answers

Answer:

0

Step-by-step explanation:

its closer to 0 then 1/2 and its closer to 0 than 1

Zoey knit a total of 24 centimeters of a scarf over 3 nights. How many nights will Zoey have to spend knitting in order to knit a total of 40 centimeters of the scarf?
Options:
5
6
7
4
Thank you! You guys really help!

Answers

Answer:

5 nights

Step-by-step explanation:

24 / 3 = 8 centimeters for 1 night

40 / 8 = 5 nights

8 x 5 = 40 centimeters

Rewrite the equation in slope-intercept form. Then identify the slope and y-intercept.
a. 3x - 2y = 10

Answers

Answer:

Slope intercept form y= mx+b

y= 3/2x-5

slope= 3/2

y-int= -5

Step-by-step explanation:

What happens to the mean of the data set {2, 4, 5, 6, 8, 2, 5, 6} if the number 7 is added to the data set?

Answers

Answer:

It increases

Step-by-step explanation:

The mean of the given data set of 8 values is 4.75 ([tex]\frac{2+4+5+6+8+2+5+6}{8}[/tex])

Adding 7 into the data set also increase the number of data points to 9, so the mean becomes:[tex]\frac{2+4+5+6+8+2+5+6+7}{9}[/tex], which is equal to 5

Hope this helps

Solve the system by substitution.
y=6x
y=3x+21
( , )

Answers

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

How much would $125 invested at 8% interest compounded continuously be worth after 16 years

Answers

Answer:

Step-by-step explanation:

Answer:

$449.58

Hope this helps!!

Rob's family ate 3 5/8 pizzas at a local restaurant. Each pizza weighs 1 1/4 kg. Which expression can be used to determine how many kilograms of pizza did Rob's family eat?

Answers

Answer:

b

Step-by-step explanation:

g

CAN SOMEONE ANSWER THIS QUICKLY PLEASE??

Answers

Answer:

a

Step-by-step explanation:

it's a because a is not liner

Marcus and Lara each have the same number of songs on their ipods. Marcus has 10x + 8 songs and Lara has
15x - 92 songs. What is x?

Answers

Answer:

The value of x is 20.

Step-by-step explanation:

Given that

Number of songs Marcus has = 10x+8

Number of songs Lara has = 15x-92

It is also given that they have the same number of songs that means both the expressions should be equal.

Putting both equal

[tex]10x+8 = 15x-92[/tex]

This is a linear equation in one variable which can be solved using properties of equality

Subtracting 10 from both sides

[tex]10x+8-10x = 15x-92-10x\\8 = 5x-92[/tex]

Adding 92 on both sides

[tex]8+92 = 5x-92+92\\100 = 5x[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5} = \frac{100}{5}\\x = 20[/tex]

Hence,

The value of x is 20.

How can the commutative property be useful when simplifying the expression below?

14+x+4−9−2y−4

Answers

Answer:

x−2y+5

Step-by-step explanation:

Combine Like Terms:

=14+x+4+−9+−2y+−4

=(x)+(−2y)+(14+4+−9+−4)

=x+−2y+5

John takes out a loan for $ 12 , 000 at a simple interest rate of 4.5 % to be paid back in 36 monthly installments. What is the amount of the monthly payments?

Answers

Answer: $378.33

Step-by-step explanation:

First we calculate the Simple interest which will be:

= 12000 × 4.5% × 3

= $1620

Total amount to be paid = $12000 + $1620 = $13620

Since there are 36 monthly installments, the amount of the monthly payments would be:

= $13620 / 36

= $378.33

Help
Please due now

Answers

Answer:

43

Step-by-step explanation:

2y+3(x-y) + x^2 =

10+3( 3-5) +3^2

What is the unknown value

Answers

I think it is 40, Sorry if i am wrong :)

Please help!! 15 Points!!!!

Answers

Answer:

I think it is ether A are B

Answer: 1 solution

Step-by-step explanation: 3(

7

3

x+

4

3

)−2x+8=5x+12

all numbers are are solutions

PLEASE HELPPPPPPPPPPPPP
What is the equation of the line passing through the points (-4,3) and (2,7)?

Answers

Answer:

[tex]y = \frac{2}{3} x + \frac{17}{3}[/tex]

Step-by-step explanation:

First, find the slope of the line:

The formula for finding the slope is: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Plug in the points:

[tex]\frac{7 - 3}{2 - (-4)}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

So now the equation is y = [tex]\frac{2}{3}[/tex]x + b

Now solve for b by plugging in one of the points:

(2,7)

y = [tex]\frac{2}{3}[/tex]x + b

7 = [tex]\frac{2}{3}[/tex]2 + b

7 = [tex]\frac{4}{3}[/tex] + b

b = [tex]\frac{17}{3}[/tex]

So the equation will be [tex]y = \frac{2}{3} x + \frac{17}{3}[/tex]

Solve for y :3x-3y=12

Answers

Answer:x=4+y

Step-by-step explanation:

Answer:

y = -4 + x

Step-by-step explanation:

3x - 3y = 12

-3x           -3x

-3y = 12 - 3x

___________

        -3

y = -4 + x

Hope this helps!

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,7) and (4,3)

Answers

First let’s find the gradient of the perpendicular bisector.

If the gradient of the line segment is m, then the gradient of its perpendicular bisector is -1/m.

Gradient of line= (y2-y1)/(x2-x1) =
(3-7)/(4- -8) = (-4/12) = -1/3

Therefore the gradient of the perpendicular bisector is 3

The perpendicular bisector will pass through the midpoint of line segment.

Midpoint of line= ((x1+x2)/2 , (y1+y2)/2)
=( (-8+4)/2 , (7+3)/2) = (-2,5)

Equation of perpendicular bisector : y=mx + c.

We know m is 3

So we have:

y=3x+c

The bisector passes through (-2,5). Replace in equation to find c.

5 = 3(-2) + c

5 = -6 + c
c = 5+6 = 11

So equation if bisector is y = 3x + 11

Combine "like-terms" : 6x + 9y + 12x + 3y *

Answers

18x + 12y I believe.

Answer:

18x + 12y

Step-by-step explanation:

There are 4 breakfast choices in a school cafeteria: Cereal, Granola Bar, Breakfast Sandwich, and Fruit. The percentage of students that chose cereal is 20%. If 60 students chose cereal, what is the total number of students that ate breakfast?
A.
120
B.
300
C.
320
D.
360

Answers

Answer:

300. In this case, it's very easy to do this percentage inflation. Since 20 is a multiple of 100, and we want to know the 100%, you just multiply the 20 by 5 to make it 100. Along with this, you multiply the 60 by 5 as well, which gives you 300.

Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.

Answers

it’s C i did it on edgunity and i got the answer correct!!

What is meant by the phrase "included side?"
The side between two angles in a triangle
The side between two other sides in a triangle
The side between an angle and a side in a triangle
The angle between two sides in a triangle

Answers

Answer:

the side between two angles in a triangle

The common leg of two angles. Usually found in triangles and other polygons, the included side is one that links two angles together. Think of it as being ‘included between two angles.

The length of a rectangle is ten units more than twice the width. The perimeter of the rectangle is 68 inches. What is the length?

Answers

Answer:

26

Step-by-sep explanation:

You earned a 90% on a math test you answered 18 questions correctly how many questions were on the test

Answers

Answer: 20

Step-by-step explanation:

18/20 %90

There are 150 adults and 245 children at a zoo. The zoo makes a total of $4,780 from the entrance fees,
and the cost of an adult and a child to attend is $23, how much does it cost each for a parent and a child?
Let a represent an adult.
Let c represent a child.
Enter a system of equations to represent the situation, then solve the system.
The
system of equations is
and
The adult tickets cost $
and the child tickets cost $

Answers

Answer:

the entrance fee per parent is $25, while the cost per child is $6.

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