In the Chang family's budget, 0.6% of the expenses are for internet service. What is the fraction of the family's expenses is for internet service? Write the fraction in the simplest form.

Answers

Answer 1

A percent is actually a fraction already. (If you break up the words to have "per cent," this might seem more intuitive. "Cent" is from Latin centum, and is the same root in words like century. Here, it's like per hundred.)

You probably know intuitively that 100% is one whole, for example. But it's also the same as saying [tex] \frac{100}{100} [/tex]. Likewise, 67%, for instance, is actually [tex] \frac{67}{100} [/tex].

In this case, you can write [tex] \dfrac{0.6}{100}[/tex]. But you may realize that you shouldn't have a decimal in a fraction. For every number after the decimal, you multiply the whole thing by a corresponding power of ten. Here, you write [tex] \dfrac{0.6}{100} * \dfrac{10}{10} = \dfrac{6}{1,000} [/tex]. Since 10/10 is equal to 1, we aren't changing anything (Identity Property). If you had 0.06/100, you would multiply by 100/100, and so on...

So, now we have [tex] \dfrac{6}{1000} [/tex]. Our next step is to simplify. The greatest common factor of these two numbers is 2, we rewrite as [tex] \dfrac{3}{500} [/tex] to put it into simplest form. And that's all there is to it.

Related Questions

Maya added 10 grams of salt to 40 grams of water.
She made ___ grams of ___% solution.

Please help
*show work*

Answers

Answers:
She made __50__ grams of __20__% solution

-------------------------------------------------------------------

Work Shown:

There's 10+40 = 50 grams of stuff overall (that "stuff" being salt and water). Of this total, 10 grams are salt so 10/50 = 1/5 = 0.20 = 20% is salt. Therefore this is a 20% salt solution.

We can say "20% solution" or "20% salt solution" to be more specific of what kind of chemical mix it is.

Answers:

She made __50__ grams of __20__% solution

-------------------------------------------------------------------

Work Shown:

There's 10+40 = 50 grams of stuff overall (that "stuff" being salt and water). Of this total, 10 grams are salt so 10/50 = 1/5 = 0.20 = 20% is salt. Therefore this is a 20% salt solution.

We can say "20% solution" or "20% salt solution" to be more specific of what kind of chemical mix it is.

Complete the table of values for the linear equation -2x-5=30 brainly. Enter your answers in the boxes.

Answers

-2x-5=30
-2x=30+5
-2x/-2=35/-2
X=-17.5

The value of x is x = -17.5.

The linear equation in question is -2x - 5 = 30. To complete a table of values for this equation, solve for x first:

Add 5 to both sides of the equation to isolate the term with x: -2x = 35.

Divide both sides by -2 to solve for x: x = -17.5.

Now that you have the value of x, you can fill in the table with x = -17.5, since a table of values typically includes various values for x and the corresponding values for the equation. However, in this case, the equation is simply solved for a single value of x without needing different values for it.

alvin's age is two times elga's the sum of their ages is 87 what is elga's age?

Answers

Hey there! :D

87= 2x+x <== let x equal Elga's age.

Since Alvin's is 2 times Elga's, then you can represent that by 2x. They add up to 87.

87= 2x+x

87= 3x

Divide both sides by 3.

x=29

Elga is 29.

I hope this helps!
~kaikers

Final answer:

By forming an algebraic equation based on the given information, we find that Elga's age is 29 years.

Explanation:

This question belongs to the category of Algebraic equations. We know that Alvin's age is two times Elga's, so we could represent Alvin's age as 2E, where E represents Elga's age.

The problem also tells us that the sum of their ages equals 87. That means we can form this equation: E + 2E = 87.

Combining like terms, we get 3E = 87. Finally, dividing each side by 3, we find the value of E (Elga's age).

So, Elga's age is 87 / 3, which equals 29 years.

Learn more about Algebraic equations here:

https://brainly.com/question/32183344

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find the equation of the circle with center at (-3,1) and through the point (2,13)

Answers

Try this option:
1. if centre of the circle is O(-3;1) and P(2;13), then OP=√(5²+12²)=13=r (radius);
2. in common view an equation of the circle is: (x-a)²+(y-b)²=r², where (a;b) is the centre.
Using this: (x+3)²+(y-1)²=13²

each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch.

Answers

15 is less than or equal to x

Let us say Samantha spends $x for her school at lunch every week.

We are given that she can spend as much as $15 every week for her school at lunch every week.

As much as stands for maximum quantity that she can spend.

So $15 is the maximum she can spend.

Writing an inequality,

[tex] x \leq 15 [/tex]

PLZ HELP ME, I AM ONLY IN LITTLE GRADE AND ITS EASY FOR YOU GUYS AND PLZ HELPPPPPPPPPPPP!!!!!!!!!!!
Q:Together, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, how much money does each person have?

Answers

Hey there!

To figure out how much money each person has, we need to divide.

4.44 ÷ 3 = 1.48

So each person has $1.48

Hope this helps you!

Always remember, you are a Work Of Art!
- Nicole :) <3

What postulate is illustrated by the diagram above?

Answers

C. Flat plane postulate

Does the following represent growth or decay y=4x

Answers

Hey there! :D

We can plug in numbers to see if it does.

y=4(1)

y=4

y=4(2)

y=8

This represents growth. When the input (x) increase, the output (y) increases.

I hope this helps!
~kaikers

Write an expression using variables for the sum of two consecutive numbers

Answers

Let the first consecutive number = n
Then the second one will be n+1
The sum will be n + n+1 = 2n + 1

Question is 2n + 1 always odd or always even?

The answer is always odd.

Approximately 50% of babies born are boys. Five coins are tossed 60 times and the coins showed two tails out of the five coins 40 times. Determine the experimental probability of a woman having 2 boys out of 5 children.

Answers

The experimental probability that a woman will have two boys out of five children is equal to 0.4 or 40%.

The area of a rectangle is 30 sq meters. The perimeter is 26 feet. What are the dimensions of the rectangle?

Answers

Answer:

The given rectangle is not possible.

Step-by-step explanation:

The minimum perimeter of such a rectangle is 4√30 meters, about 21.9 meters. That is about 71.9 feet. The largest rectangle with a perimeter of 26 feet will have an area of about 3.93 square meters.

The rectangle described cannot exist.

two friends share 1/4 gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Answers

Since there are two people sharing 1/4 a gallon of lemonade, we need to divide 1/4 by 2:

1/4 / 2 = 1/8

Each friend gets 1/8 gallon of lemonade.

Hope this helps!

David and Josh are both practicing for an upcoming swim tournament. Every week, David swims for 3x hours at an average speed of x laps per hour. Josh swims 5 more hours per week than David, but at an average speed that is 4 laps per hour less than David's average speed.

Which of the following functions will give the total distance, in laps, that Josh swims each week?

Answers

Answer: 3x^2 - 7x - 20

Explanation:

This questions has 4 answer choices to select the right one.

These are the answer choices:

A) f(x) = 3x^2 - 17x + 20
B) f(x) = 3x^2 + 7x - 20
C) f(x) = 3x^2 - 7x - 20
D) f(x) = 3x^2 + 17x + 20

Solution:

Translate the given word statements into algebraic expressions:

1) Every week, David swims for 3x hours at an average speed of x laps per hour =>

time = 3x
speed = x

2) Josh swims 5 more hours per week than David =>

time = 5 + 3x

speed that is 4 laps per hour less than David's average speed =>

speed = x - 4

3) distance, in laps, that Josh swims each week, equal time * speed

=> distance = (3x + 5) (x - 4)

4) Expand the parenthesis:

a) distributive property: (3x)(x) + (3x)(-4) + 5(x) + 5(-4) = 3x^2 - 12x + 5x - 20 =

= 3x^2 - 7x - 20

Answer: 3x^2 - 7x - 20 (option C)

a rectangle is 1/3 yards long and 2/3 yards wide.

what is the area of the rectangle?

enter your answer in the box as a fraction in simplest form

[tex] \frac{?}{?} \: {yd}^{2} [/tex]

Answers

Area of a rectangle is the product of its length and width. So,

Area = Length x Width

Length of rectangle = 1/3 yards
Width of rectangle = 2/3 yards

So, the area A of the rectangle will be:

[tex]A = \frac{1}{3}* \frac{2}{3} = \frac{2}{9} [/tex]

So, the Area of rectangle will be [tex] \frac{2}{9} [/tex] square yards.

Final answer:

The area of a rectangle with dimensions of 1/3 yards by 2/3 yards is calculated using the formula length × width, resulting in an area of 2/9 square yards. This value is already in simplest form.

Explanation:

The question asks us to find the area of a rectangle that is 1/3 yards long and 2/3 yards wide. The formula to calculate the area of a rectangle is length × width. Therefore, to find the area, we multiply 1/3 yards by 2/3 yards.

Area = (1/3) yd × (2/3) yd = 2/9 yd²

This calculation shows that the area of the rectangle is 2/9 square yards. It is important to express the answer in simplest form, as the question requests, and 2/9 is already in its simplest form.

According to m&ms web site, each package of the milk chocolate candies typically contain 14% brown, 13% red, 14% yellow, 16% green, 24% blue, and 20% orange m&ms. you go to the store and buy a standard-sized package. when you open it, you find that it contains 51 m&ms, distributed as follows: color brown red yellow green blue orange frequency 8 4 10 7 11 11 over the long run, you know that the probability of selecting a blue or an orange m&m will be 44% because these outcomes are: finite. disjoint. discrete. none of the answer choices is correct.

Answers

Answer: Disjoint

Step-by-step explanation: Selecting specific colors in a m&m's pack is disjoint because the events cannot occur at the same time, i.e., when you take one m&m's, it can be blue and orange at the same time.

To determine the probability of disjoint or mutually exclusive events, you can find their probability by adding the probability of each event.

In the question, it is asked the probability of selecting a blue or an orange.

Probability of a blue:

P(b) = [tex]\frac{11}{51}[/tex]

Probability of an orange:

P(o) = [tex]\frac{11}{51}[/tex]

Probability of one OR the other:

P(b OR o) = P(b) + P(o)

P(b OR o) = [tex]\frac{11}{51} + \frac{11}{51}[/tex]

P(b OR o) = [tex]\frac{22}{51}[/tex]

P(b OR o) ≈ 0.44 or 44%

The probability of blue or orange m&m's is 44%, and the events are disjoint.

Final answer:

According to the provided probabilities on the M&M's website, the probability of choosing a blue or an orange M&M is a combined 44%. These outcomes are described as discrete, as they are distinct and countable events in the context of probabilities.

Explanation:

The question is based on probabilities related to the distribution of M&M colors in a package, particularly focusing on the number of orange M&Ms and the number of yellow M&Ms. When analyzing the distribution of M&M colors, we utilize concepts from statistics such as uniform distribution and binomial distribution to assess the likelihood of pulling a particular color from a bag. If the M&Ms had a uniform distribution, we would expect each color to appear with equal probability; however, the provided probabilities for each color do not align with a uniform distribution.

In the long run, the probability of selecting a blue or an orange M&M is 44% combined, based on the provided percentages on the M&M's website (24% blue and 20% orange). These outcomes are discrete, as they represent distinct countable outcomes. The terms 'finite', 'disjoint', and 'discrete' are all descriptions of different characteristics of statistical outcomes. 'Finite' refers to a set that has a limited number of outcomes, 'disjoint' indicates that the events cannot happen at the same time, and 'discrete' encompasses outcomes that are countable and not continuous.

a cafeteria table has a length of 8 feet and a width of 3 feet. If 3 tables are pushed together, what is the combined area of the tables?

Answers

i think its 72 cause 8x3 is 24. and then 24x3 is 72.. let me kniw if im right!

I am an odd number. I am less than 100. The sum of my fights is 12. I am a multiple of 15. What number am I?

Answers

Try this option:
1. Odd numbers, which are multiple of 15 and less then 100, are: 15, 45 and 75.
2. the sums of digits are: for 15 is 6, for 45 is 9, for 75 is 12.
3. this number is 75.

3/10n = 4/5

what value of n will make this equation correct?

Answers

Answer:

the answer is 2 and 2/3 if that doesn't pop up then 8/3 also works.

Step-by-step explanation:

Can you please help me out ?

Answers

45 45 90 triangle
ratio
leg:leg:hypo = x : x : x√2
hypo = 22√2 (x = 22)

so leg = 22

answer
22 units

What you can do for this case is to use the following trigonometric definition.sine (45) = a / h
Where,
a: side of the triangle.
h: hypotenuse.
We then have to clear the value of a:
a = sine (45) * h
Substituting:
a = sine (45) * (22 * root (2))
a = (root (2) / 2) * (22 * root (2))
a = 22
Answer:
22 (option 3)

On Monday, more than 500 people attended a county fair. Fourteen of the people who attended the fair that day were selected at random and asked how many rides they went on that day.
a.0
b. 2.8
c. 3
d.8

Answers

3 was the mode of the number of rides the people went that day because it appeared 3 times than the other numbers 0,1, and 2 which appeared only 2 times in the chart
Hope this helps!:)

The Answer To This Is C. 3

A line with a slope of 33 passes through (2,5)2,5. Which choice is an equation of this line? a)y+5=3x+2 b)y-5=3x-2 c) y-5=(x-2) d)y-2=3(x-5)

Answers

Answer:

y - 5 = 3 . (x - 2)

Step-by-step explanation:

A linear equation can be written in point-slope form.

y - y₁ = m. (x- x₁)

where

x is the independent variable

y is the dependent variable

(x₁, y₁) is an ordered pair representing a point through which the line passes

m is the slope

Given the slope is 3 (m = 3) and the line passes through the point (2, 5) (x₁ = 2, y₁ = 5), we can write the point-slope form of the linear equation.

y - 5 = 3 . (x - 2)

I think this might correspond to b, although it should have a parenthesis to be correct.

Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays her $12.00 per hour. Her cashier job pays her $8.25 per hour. In one week, Kersha worked 55 hours. She earned a total of $585.

How many hours did Kersha work in each job?

Office clerk: 31 hours; cashier: 24 hours

Office clerk: 20 hours; cashier: 35 hours

Office clerk: 35 hours; cashier: 20 hours

Office clerk: 28 hours; cashier: 27 hours

Answers

Let x = hours worked as a clerk ($12 per hour).Let y = hours worked as a cashier ($8.25 per hour).She worked 55 hours, thereforex + y = 55 (1)She earned $585, therefore12x + 8.25y = 585 (2)From (1), obtainy = 55 - x (3)Substitute (3) into (2).12x + 8.25(55 - x) = 58512x + 453.75 - 8.25x = 5853.75x = 131.25x = 35y = 55 - x = 55 - 35 = 20
Answer: c) Office clerk: 35 hours; cashier: 20 hours.

The correct answer is that Kersha worked as an office clerk for 35 hours and as a cashier for 20 hours.

To solve this problem, we can set up a system of equations based on the information given. Let's denote the number of hours Kersha worked as an office clerk as [tex]$ x $[/tex] and the number of hours she worked as a cashier as [tex]$ y $.[/tex]

From the problem statement, we know the following:

1. Kersha earns $12.00 per hour at her office job.

2. Kersha earns $8.25 per hour at her cashier job.

3. Kersha worked a total of 55 hours in one week.

4. Kersha earned a total of $585 in one week.

Using this information, we can write two equations:

For the total number of hours worked:

[tex]\[ x + y = 55 \][/tex] (Equation 1)

For the total earnings:

[tex]\[ 12x + 8.25y = 585 \][/tex] (Equation 2)

Now we have a system of two equations with two variables. We can solve this system using substitution or elimination. Let's use the substitution method.

First, we can solve Equation 1 for [tex]$ x $:[/tex]

[tex]\[ x = 55 - y \][/tex]

Now we substitute [tex]$ x $[/tex] in Equation 2 with [tex]$ 55 - y $:[/tex]

[tex]\[ 12(55 - y) + 8.25y = 585 \][/tex]

Expanding the equation, we get:

[tex]\[ 660 - 12y + 8.25y = 585 \][/tex]

Combining like terms, we get:

[tex]\[ -3.75y = 585 - 660 \][/tex]

[tex]\[ -3.75y = -75 \][/tex]

Dividing both sides by -3.75 to solve for [tex]$ y $[/tex], we get:

[tex]\[ y = \frac{-75}{-3.75} \][/tex]

[tex]\[ y = 20 \][/tex]

Now that we have the value of [tex]$ y $[/tex], we can find [tex]$ x $[/tex] using Equation 1:

[tex]\[ x = 55 - y \][/tex]

[tex]\[ x = 55 - 20 \][/tex]

[tex]\[ x = 35 \][/tex]

Therefore, Kersha worked 35 hours as an office clerk and 20 hours as a cashier. The correct option is:

Office clerk: 35 hours; cashier: 20 hours.

Given right triangle abc with altitude cd find ad ab and dc

Answers

Assuming the vertex is at c, The Pythagorean theorem tells you
.. ab = √(ac^2 +bc^2)

Because all the triangles are similar,
.. cd/bc = ac/ab
.. cd = ac*bc/√(ac^2 +bc^2)

Likewise,
.. ad/ac = ac/ab
.. ad = ac^2/√(ac^2 +bc^2)

Your segments are
.. ad = ac^2/√(ac^2 +bc^2)
.. ab = √(ac^2 +bc^2)
.. dc = ac*bc/√(ac^2 +bc^2)

which equation can be solved to find x, the measure of BD in the diagram below?

Answers

The rule for the angle formed outside of circle by intersection show below is given by:
Angle formed outside=1/2(difference of intercepted arcs)
∠ACE=1/2(AE-BD)
∠ACE=53°
AE=233°
BD=x
Hence the formula for obtaining BD will be:
53=1/2(233-x)
The correct answer is A

Answer:

A. [tex]\frac{1}{2} (233^{o}-x)=53^{o}[/tex]

Step-by-step explanation:

Let x be the measure of arc BD.

Since we know that an angle formed by two intersecting tangents equals one-half the difference of the measures of the intercepted arcs (the major arc-minus the minor arc).

[tex]\text{ Measure of tangent-tangent angle}=\frac{1}{2} (\text{measure of major arc-measure of minor arc})[/tex]

We can see from our given graph that the tangent-tangent angle's measure is 53 degree. The measure of its intercepting major arc equals 233 degrees and minor arc equals x.

Upon substituting our given values in above formula we will get,

[tex]53^{o}=\frac{1}{2} (233^{o}-x)[/tex]

[tex]\frac{1}{2} (233^{o}-x)=53^{o}[/tex]

Therefore, the equation that can be solved to find x (the measure of arc BD) will be [tex]\frac{1}{2} (233^{o}-x)=53^{o}[/tex] and option A is the correct choice.

Find the first four terms of the sequence an=4-2n

Answers

Answer:

E2020

Step-by-step explanation:

The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

Given the rule for nth term of ap series

[tex]a_{n}[/tex] = 4 - 2n

Now,

First term (n = 1) ⇒ 4 - 2(1) = 2

Second term (n =2) ⇒ 4 - 2(2) = 0

Third term (n = 3) ⇒ 4 - 2(3) = -2

Fourth term (n = 4) ⇒4 - 2(4) = -4

Hence "The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.".

For more about Arithmetic progression,

https://brainly.com/question/20385181

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A new car is purchased for 20700 dollars. The value of the car depreciates at 13.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &20700\\ r=rate\to 13.75\%\to \frac{13.75}{100}\to &0.1375\\ t=\textit{elapsed time}\to &12\\ \end{cases} \\\\\\ A=20700(1-0.1375)^{12}\implies A=20700(0.8625)^{12}[/tex]

Answer:

y≈3508.16

Step-by-step explanation:

!!!!!!!!PLEASE HURRY !!!!!!!! The length of the base of a rectangular prism is 8 inches. The width of the prism is 4 1/2inches, and the height is 3 1/2
inches. What is the volume of the prism?

4 A) 84 in3

B) 921

C) 104 in3

D) 126 in3

Answers

Answer:

It is b

Step-by-step explanation:

LEon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add to make a mixture that is 10% lemon juice?

can someone show me how to solve this using the table or bucket method? thanks

Answers

Item Number of Liters Percentage of LemoneA 4 14%B x 8%Result 4+x 10%
For a mixture of solutions to form a resulting solution, we know
V1 * N1 + v2 * N2 = V * N
where, V1 = Volume of mixture of 1 N1 = Concentration of mixture 1V2 = Volume of mixture of 2 N2 = Concentration of mixture 2
V = volume of mixture N = Concentration of mixture
So solving we get:
(4+x)*10 = 4*14 + x * 8or, 10x-8x = 4*14-4*10or, 2x = 16or x = 8
so 8 litres of the solution B must be added to the solution

a pieace of cheese is in the shape of a triangular prism.the dimensions of the cheese are shown below

what is the surface area of the piece of cheese

a)14.5
b)20.5
c)29
d)32

Answers

As you can see in the diagram, the triangular prism has the following faces:
1) Two triangular faces
2) Three rectangular faces.

Surface area is the SUM of the areas of all of the faces.
Let us find these faces one by one:

1.
As you know, the area of the triangle is:
[tex] \frac{1}{2} * base * height [/tex]

Since, the base = 6 inches, and height = 4 inches;
Therefore, The area of ONE triangle = (1/2) * 6 * 4 = 12 inches squared.

In triangular prism, there are two triangles, therefore,
Two triangular faces = 2 * 12 inches = 24 inches squared --- (A)

2.
Now let us find the areas of three rectangular faces...
Since, two of the three rectangular faces are the same, therefore, we would find the area of one rectangular face, and multiple the result with two to get the total area of two rectangular faces.

Area of one rectangular face = base * height.
Since, base = 0.5 inches, height = 5 inches, therefore,
Area of one rectangular face = 0.5 * 5 = 2.5 inches squared.

Now that we have one rectangular face, therefore,
Area of two rectangular faces = 2 * 2.5 = 5 inches squared.

The area of the third rectangular base = 6 * 0.5 = 3 inches squared

Therefore,
The area of the three rectangular faces = 5 + 3 = 8 inches squared --- (B)

Now add both "area of two triangular faces(A)" and "area of three rectangular faces(B)" to get the final surface area of the triangular prism.

Surface Area of the triangular prism = Area of Two Triangular faces + Area of Three Rectangular faces

Surface Area = 24 + 8 = 32 inches squared

The surface area of the triangular prism = 32 inches squared.

The correct option is: d

-i

Answer:

Answer is d

Step-by-step explanation:

sorry that im 4 years late

ordered: 0.5 mg
Available: 2 mg/ml
how many mls should be given?

Answers

2 mg per 1 ml. divide everything by 4 to give you 0.5 mg / 0.25 ml

Final answer:

The patient should be given 0.25 mls of the medication.

Explanation:

To calculate the volume of medication a patient should be given, we can use a basic formula that relates the ordered dose, the concentration of the medication available, and the volume required to deliver the ordered dose. In this case, the student has been asked to determine how many milliliters (mls) of medication to administer when 0.5 mg is ordered and the medication concentration available is 2 mg/ml.

The formula to use is:

Dose ordered (mg) / Concentration of medication (mg/ml) = Volume to administer (ml)

So for this problem:

0.5 mg / 2 mg/ml = 0.25 ml

Therefore, the patient should be given 0.25 mls of the medication.

Other Questions

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