Lucy has ridden 45 miles of a bike course. The course is 60 miles long. What percentage of the course has Lucy ridden so far?

The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]

Let [tex]R[/tex] be the amount of money Rachel has

Let [tex]N[/tex] be the amount of money Neil has

Let [tex]C[/tex] be the amount of money Caroline has

Let [tex]M[/tex] be the total amount of money shared between the three people

Then, from the problem we have the following relationships

[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]

Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get

[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]

Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]

Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

Answer: 3 y = 2 − 4 x

Step-by-step explanation: 3 y = 2 − 4 x

Answer:

75%

Step-by-step explanation:

What do you need help with? Are you in danger?

Answer:

7y+21

Step-by-step explanation: i solve it hope this help.

Answer:

[tex]\bold{7y+21}[/tex]

Step-by-step explanation:

Hi there!

Let's solve this math problem by using the Distributive Property.

All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):

Hope it helps! Enjoy your day!

~ Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Answer:

16

Step-by-step explanation:

Because 25 - 9 = 16

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

need points so

Step-by-step explanation:

Answer:

B) -7/2

Step-by-step explanation:

You would have to convert to slope-intercept form.

[tex]y=mx+b\\[/tex]

7x+2y=5

2y= -7x+5

y= -7/2x+5/2,

m= -7/2 = slope

you convert decimals to fractions by how much more numbers are after the point the more 0Answer:

for example 0.2=2/10  and0.25= 25/100

and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100

Step-by-step explanation:

Answers:

========================================

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

Answer:Hi!

where is the question?

Step-by-step explanation:

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

p

(

red marbles

)

=

6

6

+

8

p

(

red marble

)

=

3

7

b)

p

(

o

d

d

n

u

m

b

e

r

s

)

=

3

+

4

6

+

8

p

(

o

d

d

n

u

m

b

e

r

s

)

=

1

2

c)

p

(

red marbles or odd numbers

)

=

p

(

red marbles

)

+

p

(

odd numbers

)

−

p

(

red marbles and odd numbers

)

p

(

red marbles or odd numbers

)

=

6

14

+

7

14

−

3

14

p

(

red marbles or odd numbers

)

=

10

14

d)

p

(

Blue marbles or even number

)

=

p

(

Blue marbles

)

+

p

(

even numbers

)

−

p

(

blue marbles and even numbers

)

p

(

Blue marbles

)

=

8

14

p

(

even numbers

)

=

7

14

p

(

Blue marbles or even number

)

=

8

14

+

7

14

−

4

14

p

(

Blue marbles or even number

)

=

11

14

Help improve Study.com. Report an Error

Become a member and unlock all Study Answers

Start today. Try it now

Ask a question

Our experts can answer your tough homework and study questions.

Search Answers

What question do you need help with?

Learn more about this topic:

What is Probability in Math? - Definition & Overview

from

Chapter 24 / Lesson 7

49K

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

Related to this Question

Related AnswersRelated LessonsRelated Courses  

Consider the experiment of drawing two cards...  

Listed below is a table that gives the two-way...

Randomly select one student from these 500...

In a box, there are 18 red, 14 blue, and 16...

The residual column is given by the difference between the given values

and the values from the fitted line.

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

Learn more about line of best fit here:

https://brainly.com/question/1504320

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

[tex]\cos 3\pi = \cos \pi =-1[/tex]

Answer:

It's C

Step-by-step explanation:

Answer: (7,3)

Step-by-step explanation:

[Please check]:   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

Algebra:

Add the two equations:

  3x-4y=9

−5x+4y=-23

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph.  The lines intersect at (7,3)

Answer:

x=5

Step-by-step explanation:

I took the test. Hope this helps

The solution of the given equation is when the x = 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}

First, substitute the values from the given set;

When x = -1

1/4x−3/4=1/2

1/4(-1) − 3/4 = 1/2

-1/4 - 3/4 = 1/2

-4/4 = 1/2

-1= 1/2

This is not the solution to the given equation.

When x = 1

1/4x−3/4=1/2

1/4(1) − 3/4 = 1/2

1/4 - 3/4 = 1/2

-2/4 = 1/2

-1/2 = 1/2

This is not the solution to the given equation.

When x = 5

1/4x−3/4=1/2

1/4(5) − 3/4 = 1/2

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

This is the solution to the given equation.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

|9+40i| = |√9^2 + -40^2| = √1681 = 41

Answer: 41

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy =

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =

By long division method we find that

|9+40i| =41

Answer:

6 units

Step-by-step explanation:

Just count

The distance between points A and B is 6 units.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In geometry, Distance between two points will be always a positive number.

Distance will be 0, if the points coincide.

Here on a number line, A is marked at -5 and B at 1.

We have to find the distance between A and B.

Distance between A and B = 1 - -5 = 1 + 5 = 6 units

Hence distance between A and B is 6 units.

Learn more about Distances in Geometry here :

https://brainly.com/question/11990442

#SPJ7

Answer:

answer is 400060

have a good day!!

If it's help pls give me Brainliest

tysm

Answer:

4000,060

answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060