Mathematics College

rewrite 19/30 and 13/20 so that they have a common denominator then Then, use
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,
=
, or
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Answers

Answer 1
Must determine the LCD.  Think:  what is the smallest (least) number divisible by both 30 and 20?  You could, of course, just multiply 30 and 20, obtaining 600, but that would not be the LCD.

Note that 30 and 20 share the common factor 10.  Multiplying 3 and 2 together produces 6.  The LCD is 10*6 = 60.  Note that both 30 and 20 divide into 60 with no remainder.

Then  19/30  = 2(19) / 2[30]  = 38/60, and 

13/20 = 3(13) / 3[20]  = 39/60.

Which is larger, 38/60 or 39/60?

Write the relationship between these 2 numbers using the appropriate inequality operator.
Answer 2

Answer: [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]

Step-by-step explanation:

The given fractions : [tex]\dfrac{19}{30}\text{ and }\dfrac{13}{20}[/tex]

The denominators of the above fraction : [tex]30, 20[/tex]

Least common multiple (LCM) of (30,20)=[tex]3\times2\times5\times2=60[/tex]

Multiply 2 to the numerator and denominator of  [tex]\dfrac{19}{30}[/tex] and 3 to the numerator and denominator of [tex]\dfrac{13}{20}[/tex], we get

[tex]\dfrac{19\times2}{30\times2}=\dfrac{38}{60}[/tex]

[tex]\dfrac{13\times3}{20\times}=\dfrac{39}{60}[/tex]

Clearly , [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]

Related Questions

What is the domain and range of f(x)=3x?

Answers

The required domain and range of the f(x) = 3x is (-∞, +∞) and (-∞, +∞) respectively.

What is a domain?

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
The function f(x) = 3x is a linear function where the output (the range) is directly proportional to the input (the domain).

The domain of this function is the set of all real numbers because we can substitute any real number for x and get a valid output.

The range of the function is also the set of all real numbers because we can get any real number as the output by multiplying a real number by 3. Therefore, the range of the function is also all real numbers.

In interval notation, we can represent the domain and range as follows,

Domain: (-∞, +∞)

Range: (-∞, +∞)

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A number, one-third of that number , and one-fourth of that number are added. The result is 19 what is the original number

Answers

x + 1/3x + 1/4x = 19...multiply by common denominator of 12
12x + 4x + 3x = 228
19x = 228
x = 228/19
x = 12 <=== ur original number
Hi, your original number is 12... hoped I helped! 

find two possible factors for the estimated product 2,800

Answers

28 x 100 and 280 x 10

The wall in the family room is exactly 12 feet long. Your couch is 10 feet and 6 inches long. Once the couch is placed, how much room is left for your end table?
inches

Answers

18 inches, 10 feet times 12 inches is 120 + 6 inches is 126 inches - 144 inches which is 12 inches times 12 inches, 144 - 126 inches is 18 inches.
well you still got the other wall homie g, but not including that you got like a foot and 6 inches

The table shows the amount of money in your bank account over a period of 5 weeks. The account does not pay interest. You plan to keep saving at the same rate until you have $650 in the account. Which equation could you use to find the number of weeks, n, it would take to reach your goal?

Answers

Answer:

35*n+100=650

Step-by-step explanation:

I got the question right on TTM

Gina wrote the number 43,628. Then she used the same digits to write a new number. In the new number, she moved the digit 6 one place to the left. Which is the value of 6 in Gina's new number?

Answers

moving the number 6 one place to the left would put it where the 3 is, which is the thousands place

Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt?

Answers

Frequently, and even historically, the creation and use of negative numbers has been associated with debts. To denote a certain amount of debt, we add a negative sign before the amount to indicate the fact that it's a debt.

Here, Gena's food cart is $225 in debt, so we could indicate that with the negative number -225. If we're tripling the debt, we're going to be multiplying that debt by 3, which corresponds to the expression -225 x 3. If you're adding onto your debt, you're naturally going to still be in debt, so we leave the negative sign on and multiply 225 and 3, obtaining -225 x 3 = -675. Gena's food cart is now $675 in debt. 

Answer:

Step-by-step explanation:

A & B

Recall that a prime number is a natural number whose only factors are itself and 1 (for example, 2, 3, 5, . . . ). the goldbach conjecture, posed in 1742, claims that every even number greater than 2 can be expressed as the sum of two primes. for example, 4 = 2 + 2, 6 = 3 + 3, and 8 = 5 + 3. a deductive proof of this conjecture has never been found. test the conjecture for at least 10 even numbers and present an inductive argument for its truth. do you think the conjecture is true? why or why not?

Answers

Prime Number is a number whose only factors are itself and one. For example 1,3,5,7,11,13,17,19,23… Now consider the following arguments : Every even number greater than 2 can be expressed as sum of two primes. Now consider the following premises:


Premise 1 : 4 = 2 + 2 

Premise 2 : 10 = 5 + 5 

Premise 3 : 12 = 5 + 7 

Premise 4 : 16 = 5 + 11 

Premise 5 : 18 = 5 + 13 

Premise 6 : 22 = 11 + 11 

Premise 7 : 30 = 7 + 23 

Premise 8 : 32 = 3 + 29 

Premise 9 : 40 = 3 + 37 

Premise 10 : 52 = 5 + 47 

Premise 11 : 100 = 3 + 97 

Conclusion : every whole number is sum of two prime numbers. 

 

All 11 cases are different, yet the rule applies to all. This outcome offers a strong inductive argument in favor of the conclusion or rule specified. It can be strengthened by additional cases that confirm the rule. Conjecture specified will be true because each number can be specified as sum of two primes. As each whole number will have difference os 1, 2, 3, 5, or 7 between the number and the nearest prime number. Consider the following example :


34 = 31 + 3 

36 = 33 + 3 


Hence the conjecture “Every number greater than two can ve expressed as the sum of two primes” is true.

The school theater department made $2142 and the department sold the same number of tickets each night and each ticket cost $7. How many tickets did the theater department sell each night?

Answers

They sold 306 tickets each night. In order to get the answer, you just divide $2142 by $7 and then you should get 306.
Since the theater department made $2142 and sold a ticket each night for $7, then you have to divide.Now, you divide $2142/7.

You should get your answer of 306 :)

[tex]\sqrt[7]{2142}[/tex]

^online division .-.

It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $ .

Answers

namely, what is 170% of 2.80?   well, if we take 2.80 to be the 100%, what is the 170%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.80&100\\ x&170 \end{array}\implies \cfrac{2.80}{x}=\cfrac{100}{170}\implies \cfrac{2.80\cdot 170}{100}=x[/tex]

A bottle of medicine contains 40 doses. How many doses are in 3 1/3 bottles?

Answers

Hi there! So, there are 40 doses in 1 bottle. To find out the number of doses in 3 1/3 bottles, we have to multiply both numbers together. 3 1/3 as an improper faction is 10/3. 40/1 * 10/3 is 400/3 or 133 1/3 in simplest form. There are 133 1/3 doses of medicine in 3 1/3 bottles.
Final answer:

To calculate the total number of doses in 3 1/3 bottles of medicine, multiply the fraction of bottles (10/3) by the number of doses per bottle (40). The result is 133 1/3 doses.

Explanation:

The student is asking how many doses are in 3 1/3 bottles of medicine if one bottle contains 40 doses. To find the answer, we need to multiply the number of bottles by the number of doses per bottle.

Here is the step-by-step calculation:

First, convert 3 1/3 bottles to an improper fraction: 3 1/3 = (3 × 3 + 1)/3 = 10/3 bottles.Next, multiply this value by the number of doses in one bottle to find the total number of doses: (10/3) × 40 doses = 400/3 doses.Finally, simplify the fraction: 400/3 doses = 133 1/3 doses.

So, there are 133 1/3 doses in 3 1/3 bottles of medicine.

Which fraction has a terminating decimal as it's the small expansion?

A) 1/3
B) 1/5
C) 1/7
D) 1/9

Answers

B. 1/5

When turned into a decimal, 1/5 is 0.2 which is a decimal that terminates. 
Its 1/5. If you divide all the numerators by the denominators, you'll notice that 1/5 is the only one that doesn't go on and on forever

The Sanders family and the Wright family each used their sprinklers last summer. The Sanders family's sprinkler was used for 20 hours. The Wright family's sprinkler was used for 35 hours. There was a combined total output of 1025L of water. What was the water output rate for each sprinkler if the sum of the two rates was 40L per hour?

Answers

Sent a picture of the solution to the problem (s).

The water output rate for the Sanders family's sprinkler was 25 liters per hour, and for the Wright family's sprinkler was 15 liters per hour.

Let the water output rate as "x" liters per hour and the water output rate for the Wright family's sprinkler as "y" liters per hour.

Given that the combined total output of water from both sprinklers was 1025L, we can set up the following equation:

20x + 35y = 1025

We also know that the sum of the two rates is 40L per hour:

x + y = 40

x = 40 - y

Substituting this value of x into the first equation:

20(40 - y) + 35y = 1025

800 - 20y + 35y = 1025

15y = 225

y = 15

Substituting this value of y back into the second equation:

x + 15 = 40

x = 25

Therefore, the water output rate for the Sanders family's sprinkler was 25 liters per hour, and for the Wright family's sprinkler was 15 liters per hour.

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Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

Answers

x²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a²  + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a  so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

Here is the picture of the answer above

5/8 of the 64 musicians in a music contest are guitarist. Some of the guitarist play jazz solos, and the rest play classical solos. The ratio of the number of guitarist playing jazz solos to the total number of guitarist in the contest is 1:4. How many guitarist play classical solos in the contest?

Answers

multiply 5/8 by 64
=40

1:4 means a fourth of them
so basically 10 out of 40

now just subtract 10 from 40 to get the amount of classical players

10 jazz & 30 classical

Can someone explain this a little better?

Answers

Answer:

1. 76,000

2. 8050

3. 240000

Step-by-step explanation:

We know that

1 tens = 10 ones

1 hundreds = 100 ones

1 thousand = 1000 ones

10 thousands = 10000 ones

Using these conversions we get,

1 : [tex]760\text{ hundreds}=760\times 100=76,000[/tex]

2 : [tex]805\text{ tens}=805\times 10=8050[/tex]

3 : [tex]24\text{ ten thousands}=24\times 10000=240000[/tex]

Table can be filled as shown below:

                 Thousands                                           Ones

Q. no. Hundreds    Tens     Ones    Hundreds    Tens      Ones

1.                                  7             6             0              0              0

2.                                                8             0              5              0

3.                2              4              0             0              0               0

(201)3 is equivalente to: (11)10; (10010)2; (11)16; (23)8

Answers

convert to base 10
2×3² + 0×3¹ + 1×3^0 = 18 + 0 +1 = 19 base 10
so convert 19 to base 8
19 base 10 = 23 base 8
D is your answer

A bicycle shop advertised all mountain bikes were priced at 1/4 discount.

Answers

If you are looking for the percent off it would be 25% off and if you were looking for the amount off in decimal form it will be 0.25.

A two year degree that focuses on natural science, engineering, and mathematics is called an

Answers

Associate of science


Answer:

Assosiate in science

Step-by-step explanation:

An Associate of Science (AS) is a 2-year degree offered by most community colleges. Most AS degrees are transfer degrees and provide an academic foundation, but not specific career training. The A.S. degree is intended for students planning to pursue a bachelor’s degree in the areas of math or science.  

I hope you find this information useful and interesting! Good luck!

How does a "for every" statement show a ratio comparison?

Answers

Example: For every 3 boys, there are 4 girls.

Ratio: 3:4 also 3/4

How to use it?

Example question: If there are 3 boys for every 4 girls and there are 27 boys in the class, how many girls are there?

How to set up the ratio:

3 27
— = —
4 x


Solve it?

[Cross Multiply]

3x= 108

[Divide]

X= 36

How to check it?

Reduce 27/36 and see if it equals 3/4

OR

Plug both into the calculator and both should come out with the same decimal. In this case it is 0.75

To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the interest, which is 6% of $3700. How much will she pay?

Answers

6% of 3700 is 222 so Sarah will pay $222! Hope this helps tell me if this is wrong and I will correct it

commutative
property of addition of 93+ (68+7)

Answers

93 + (68 + 7)

(93 + 68) + 7

= 168

hope this helps

Twenty-seven minus 1.5  of a number (x) is not more than 36. What is the number?

Answers

Translate this into symbols:  27 - 1.5x  is equal to or less than 36.  Find x.

Add 1.5x to both sides, so as to make the coefficient of x positive:

27 = 36 + 1.5x, or    -9 = 1.5x,    or x = -6              but also
                                                        x > -6

Check:  let x = -6.   Is the given equation then true? 

27 = 36 + 1.5(-6) => -9 = -9?  Yes.

Check:  let x > -6.  Is  Twenty-seven minus 1.5  of a number (x)  not more than 36?                      27 - 1.5(0) not more than 36?  True.

Thus, x is equal to or greater than -6.

When a day of the week is randomly selected it is a saturday?

Answers

Because there are seven days in a week, there is a 1 / 7 (one in seven) chance of the day selected being a Saturday.

Hope this helps!
I guess 1/7, because there’s one Saturday only in a week?

As sand leaks out of a hole in a contaimer, it forms a conical pile whose altitude is always the same as its radius. If the height of the pile is increasing at a rate of 6in/min, find the rate at which sand is leaking out when the altitude is 10 inches.

Answers

the rate at which the sand is leaking, is the same rate at which the volume of the cone is increasing, so the rate of the sand leak is then the same as dv/dt of the cone.

now, we know the height is always the same length as the radius, thus h = r.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \boxed{h=r}\qquad V=\cfrac{\pi h^2 h}{3}\implies V=\cfrac{\pi h^3}{3} \\\\\\ \cfrac{dV}{dt}=\cfrac{\pi }{3}\cdot 3h^2\cdot \cfrac{dh}{dt}\implies \cfrac{dV}{dt}=\pi h^2\cfrac{dh}{dt}\qquad \begin{cases} h=10\\ \frac{dh}{dt}=6 \end{cases} \\\\\\ \cfrac{dV}{dt}=\pi \cdot 10^2\cdot 6\implies \cfrac{dV}{dt}=600\pi ~\frac{in^3}{min}[/tex]

The rate at which sand is leaking out when the altitude is 10 inches is

600π inches³ / min.

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is (1/3)πr²h.

We have,

A conical pile formed due to a leak out of a hole whose radius is equal to its height.

dh/dt = 6 in/min

The rate at which the sand is leaking when height is 10 inches.

We have,

Volume = (1/3)πr²h and h = 10 inches

V = 1/3 πh²h

V = 1/3 πh³

Differentiating both sides.

dV/dt = 1/3 x π x 3 x h² (dh/dt)

dV/dt = π x h² x 6

dV/dt = π x 10² x 6

dV/dt = 600π inches³ / min

Thus,

The rate at which sand is leaking out when the altitude is 10 inches is

600π inches³ / min.

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A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from −15°F−15°F negative 15 degrees cap f to 45°F

Answers

Final answer:

The question is about the temperature range of a coat and its ability to withstand extreme temperatures.

Explanation:

The subject of this question is Physics, as it involves understanding the temperature range of a coat and its ability to withstand extreme temperatures.



Given that the coat is recommended for temperatures from -15°F to 45°F, it means that the coat is designed to provide sufficient insulation and protection within this temperature range. The negative symbol in -15°F indicates that it is below freezing point.



This suggests that the coat is designed to keep the wearer warm in sub-freezing temperatures, down to -15°F, and up to 45°F. It is important to note that the recommended temperature range may vary depending on individual tolerance, activity level, and wind chill factors.

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What is the constant of proportionality in the equation y = 2.5x?

Answers

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]\frac{y}{x}=k[/tex] or [tex]y=kx[/tex]

where

k is the constant of proportionality

In this problem we have

[tex]y=2.5x[/tex]

so

the constant of proportionality k is equal to

[tex]k=2.5[/tex]

therefore

the answer is

[tex]k=2.5[/tex]

The constant of proportionality in the equation [tex]y = 2.5x[/tex] is [tex]\boxed{2.5}.[/tex]

Further explanation:

The relation is defined as the relationship between the input values and output values.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Given:

The equation is [tex]y = 2.5x.[/tex]

Explanation:

The proportionality equation can be expressed as follows,

[tex]y \propto x[/tex]

The value of [tex]y[/tex] changes as [tex]x[/tex] changes. If the value of [tex]x[/tex] increases then the value of y is also increasing.

The equation can be expressed as follows,

[tex]y = kx[/tex]

The inversely proportional relationship can be expressed as,

[tex]y \propto \dfrac{1}{x}[/tex]

Here, [tex]k[/tex] is the proportionality constant.

The given equation is [tex]y = 2.5x.[/tex]

The y is the independent variable and [tex]x[/tex] is the dependent variable.

The proportionality constant is 2.5.

The constant of proportionality in the equation [tex]y = 2.5x[/tex] is [tex]\boxed{2.5}.[/tex]

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: proportional, directly proportional, constant, proportionality equation, y=0.41x, constant of proportionality.

A salesperson's weekly paycheck is 15% less than a second salesperson's paycheck. The two paychecks total $1425. Find the amount of each paycheck.

Answers

Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425

Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27

Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73

So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.

Hope this helps!



Translate “the perimeter of a rectangle is equal to 2 times the length plus twice the width

Answers

perimeter (p)= 2l+2w

The required translated string of “the perimeter of a rectangle is equal to 2 times the length plus twice the width" is,
Perimeter = 2 * length + 2 * width.

Given that,
To translate “the perimeter of a rectangle is equal to 2 times the length plus twice the width."

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

Here, the given string,  “the perimeter of a rectangle is equal to 2 times the length plus twice the width" can be translated in the mathematical form is,
Perimeter = 2 * length + 2 * width.

Thus, the required translated string of “the perimeter of a rectangle is equal to 2 times the length plus twice the width" is,
Perimeter = 2 * length + 2 * width.

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What is greater 3.26 or 3 5/8

Answers

hi
hi hi hi hi hi hi hih hiyjtyhgy yrshtega kitumyjdhbrgs kmijyunbgtrvfe mjuynhbgtd i have no idea

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