what is the Greatest common factor shared by 80 and 100

Answers

Answer 1

Answer:

20

Step-by-step explanation:

\(GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\\)

so for two is

\(2^2\)

and for 5 is

\(5\)

so we multiply both

\(\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20\)

we can use the euclidean algoritm as follows

\(100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd\)


Related Questions

Mark think of a number mark doubles it and add 2.9 to get answer of 30.6 form an equation with x from the information

Answers

Answer:

2x + 2.9 = 30.6

Step-by-step explanation:

We are to represent the unknown number that Mark thinks of with x

If Mark doubles this unknown number, he multiplies it by 2 and the unknown number becomes - 2x

He then adds 2.9

The equation becomes 2x + 2.9

The answer of the above equation is 30.6

This gives : 2x + 2.9 = 30.6

An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were x1. = 462.0, x2. = 502.8, x3. = 427.5, x4. = 469.3, and x5. = 532.1. The computed value of F was found to be significant at level α = 0.05. With MSE = 450.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)
W= ?
Which means differ significantly from one another? (Select all that apply.)
Which means differ significantly from one another? (Select all that apply.)x1. and x2.
x1. and x3.
x1. and x4.
x1. and x5.
x2. and x3.
x2. and x4.
x2. and x5.
x3. and x4.
x3. and x5.
x4. and x5.
There are no significant differences.

Answers

x1 and x2, x1 and x5, x2 and x3, x2 and x5, x3 and x4 and x3 and x5 means differ significantly from one another

The experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint.

The value of W for Tukey's procedure is:

W = q(α, 5, 20) * √(MSE/J)

where α = 0.05 is the significance level, 5 is the number of treatments, 20 is the total number of observations (4 observations per treatment), MSE = 450.8 is the mean square error, and q(α, 5, 20) is the critical value from the Studentized range distribution table.

Using the table, we find that q(α, 5, 20) = 3.365.

Substituting the values, we get:

W = 3.365 * √(450.8/4) = 21.63

The means that differ significantly from one another are:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

Therefore, the correct answer is:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

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What percent of 24 is 18? 60 is what percent of 48? Write 1.052 as a percent.

Answers

Answer:

24 of 18 is 75%

60 of 48 is 80%

1.052 is 105.2%

Step-by-step explanation:

Using a normal curve table, the percentage of scores between a Z score of 1.29 and a Z score of 1.49 is
a) 0.54%
b) 3.04%
c) 7.49%
d) 83.34%

Answers

The percentage of scores between a Z score of 1.29 and a Z score of 1.49 is 3.04%. The correct option is b.

Using a normal curve table, the percentage of scores between a Z score of 1.29 and a Z score of 1.49 can be calculated by following these steps:
1. First, find the percentage of scores below the Z score of 1.49 by referring to the normal curve table. For a Z score of 1.49, the table shows a percentage of approximately 93.18%.
2. Next, find the percentage of scores below the Z score of 1.29 using the same table. For a Z score of 1.29, the table shows a percentage of approximately 90.14%.
3. Subtract the percentage of scores below the Z score of 1.29 from the percentage of scores below the Z score of 1.49 to find the percentage of scores between the two Z scores: 93.18% - 90.14% = 3.04%.Therefore the correct option is b) 3.04%

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If 90% of the athletes weigh more than x kg, how could you find the value of x?

Answers

The value of x would be the weight at which 90% of the athletes weigh more than x kg, which is equal to 0.9 times the total number of athletes.

Given that 90% of the athletes weigh greater than x kg, we may apply a proportion to get the value of x.

Let's assume that the variable n represents the total number of athletes. As 90% of athletes fall into this category, we can then denote the number of athletes who weigh greater than x kg as 0.9n.

We must ascertain the weight at which 90% of the athletes weigh more than x kg in order to estimate the value of x. To create a proportion, we can utilize the overall number of athletes and the proportion of those who weigh more than x kg:

\(\begin{equation}\frac{0.9n}{n} =\) (Weight more than x kg) ÷ (total number of athletes = n)

We can simplify this proportion to:

0.9 = (weight more than x kg) ÷ n

We can then solve for the weight more than x kg by multiplying both sides of the equation by n:

0.9n = weight more than x kg

As a result, the value of x would be equal to 0.9 times the total number of athletes and would be the weight at which 90% of the athletes weigh more than x kg. The distribution of weights among the athletes is assumed to be continuous and normally distributed for the sake of this calculation.

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At a local carnival one day, 190 tickets were sold. Adult tickets cost $4 each and children tickets cost $3 each. If the total money collected from selling tickets was $720, how many adult and children's tickets were sold?​

Answers

Answer:

adults is 131 and kids is 59

Step-by-step explanation:

I did this to

samantha wants too pour 3 gallons of water into cups. How many cups will be used?​ Picture your solution or write I'll make it the brainliest!​

Answers

Answer:

48

Step-by-step explanation:

there are 16 cups in a gallon therefore you would multiply 16 times the number of gallons she uses which is 3 so 16 times 3 or you could do 16+16+16 which both would get you 48 so she would need 48 cups to make 3 gallons. hope this helps have a good rest of your night :)❤

The area of Australia/Oceania is approximately 7.69 × 106 square kilometers. Its population is approximately 3.11 × 107 people. What is the approximate population density (people per square kilometer) of Australia/Oceania? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
PLEASSSSEEEE HELPPPPPPPPPPP

Answers

Answer: 3.11*10^7/7.69*10^6

3110/769

4.04

Step-by-step explanation:

Find the slope of the line passing through the points (-5,3) and (-7,5).

Answers

Step-by-step explanation:

points (-7,5) and (5,-3)?

This would mean to subtract the y coordinates:

5 - (-3) = 8

Then subtract the x coordinates in the same order:

-7 - 5 = -12

Then divide the y result by the x result for the slope:

8/-12 is the slope.

In simplest form, this is equivalent to -2/3

most calculators can find logarithms with base pi incorrect: your answer is incorrect. and base e. to find logarithms with different bases, we use the

Answers

Most calculators can find logarithms with base pi and base e correctly. To find logarithms with different bases, hexagon  we use the change of base formula.

A logarithm is an exponent that is used to solve exponential equations. In other words, a logarithm is the inverse operation of an exponential function.BaseThe base of a logarithm is the number that is raised to a power in order to produce a given value.Example: log4(16) = 2. In this logarithmic expression, 4 is the base, and 16 is the value.Power to which the base is raisedWe use logarithms to solve exponential equations. We can represent these equations as exponential functions y = b^x.

The logarithmic form of the exponential function is logb(y) = x.Change of base formulaTo find logarithms with different bases, we use the change of base formula. The formula is as follows:logb(x) = loga(x) / loga(b)where a is the base of the given logarithm, and b is the base that we want to use to find the logarithm.Example: Evaluate log3(5) using the change of base formula.log3(5) = log10(5) / log10(3)Thus, log3(5) ≈ 1.4649.

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I really need help with this if you can then thank you very much!

I really need help with this if you can then thank you very much!

Answers

Answer:

roast beef

Step-by-step explanation:

you change the fraction ham changes to 2 and 5/20 turkey changes to 1 and 4/20 and roast beef changes to 15/20 roast beef is the most

I can’t help buttttt I need answers to so im answer questions

Thomas and candice both mowed lawns this summer. thomas mowed 35 lawns and received 150 in tips. candice mowed 30 lawns but got 275 in tips. they both charged the same per lawn . how much did they charge to mow a lawn?

Answers

Answer: To determine how much Thomas and Candice charged to mow a lawn, we can compare their total earnings (including tips) to the number of lawns they mowed.

Thomas mowed 35 lawns and received $150 in tips. Let's denote the amount Thomas charged to mow a lawn as "x."

Total earnings for Thomas = Earnings from lawns + Tips

Total earnings for Thomas = (35 * x) + $150

Similarly, Candice mowed 30 lawns and received $275 in tips. Let's denote the amount Candice charged to mow a lawn as "y."

Total earnings for Candice = Earnings from lawns + Tips

Total earnings for Candice = (30 * y) + $275

Since both Thomas and Candice charged the same amount per lawn, we can set their total earnings equations equal to each other:

(35 * x) + $150 = (30 * y) + $275

Now, we can solve this equation to find the amount they charged per lawn.

35x + $150 = 30y + $275

Rearranging the equation:

35x - 30y = $275 - $150

35x - 30y = $125

To simplify the equation, we need to know the specific values of x and y, which are the amounts they charged per lawn. Without additional information, we cannot determine the exact values of x and y or how much they charged to mow a lawn.

find the coordinates of the points that are 17 units away from the origin and have a y-coordinate equal to −

Answers

smaller x value (x, y)=(-15,-8)

larger x value (x, y)=(+15,-8)

\(\sqrt{x^{2} + y^{2} } = 17\)

\(x^{2} +y^{2} = 289\)

y= -8

\(x^{2} =289-64\)

\(x^{2} =225\)

x= ±15

The points are (15, -8) and (-15, -8)

What do you mean by coordinates?

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematics, scientists, and engineers frequently employ a variety of coordinate systems. The positions of points in 2D or 3D are defined by two or three straight-line axes known as cartesian coordinates, sometimes known as rectangular coordinates. All scales are linear, which means that they are all graduated in uniform-sized increments. The positions of points in 2D are defined by a different coordinate system called semilog coordinates. The other scale is logarithmic while the first is linear.

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Which is a name for the ray? Please help!!

Which is a name for the ray? Please help!!

Answers

Answer:

CR

Step-by-step explanation:

Answer:

CR

Step-by-step explanation:

It would be ray CR. It starts at point C and the last point along the ray is R.

I hope this helps! :)

help plz !! Which is the graph of an even monomial function?

help plz !! Which is the graph of an even monomial function?
help plz !! Which is the graph of an even monomial function?
help plz !! Which is the graph of an even monomial function?
help plz !! Which is the graph of an even monomial function?

Answers

Answer:

Imagie 1 and 2

monomial function graph look like this

<3 ily

Red

help plz !! Which is the graph of an even monomial function?

Answer:

The first image

Explanation:

Hope you have a great day!

PLEASE HELP!!!!!!! DUE IN 7 MINUTES!!!!!!!! PLEASE EXPLAIN HOW TO SHOW MY WORK TOO!!!!!!!!!!!!

PLEASE HELP!!!!!!! DUE IN 7 MINUTES!!!!!!!! PLEASE EXPLAIN HOW TO SHOW MY WORK TOO!!!!!!!!!!!!

Answers

Answer:

The first is 1/20

b is 1/40

c is 1/15

and d is 1/15

Step-by-step explanation:

To divide a fraction, you change the sign to multiplication and use the recipricol *However you spell that* for the second number (Keep, Change, Flip) and then you multiply the numerators by eachother, and you multiply the denominators by eachother So it would be

1/2 * 1/10=1/20

1/4*1/10=1/40

1/3*1/5=1/15

1/5*1/3=1/15

Please help its in math

Please help its in math

Answers

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall to help people avoid collisions. magnitude of the mirror's radius of curvature is 0.562 m. (a) Locate the image of a patient 10.2 m from the mirror. (Use the correct sign conventions.) Make sure you are correctly assigning signs to the object distance and the focal length. cm (from the mirror)

Answers

The image of the patient is located approximately 28.9 cm from the convex mirror.

To locate the image of a patient using a convex spherical mirror, we can use the mirror equation.

Equation:

1/f = 1/do + 1/di

where:

f is the focal length of the mirror,

do is the object distance (distance of the patient from the mirror), and

di is the image distance (distance of the image from the mirror).

Given:

The magnitude of the mirror's radius of curvature:

0.562 m (since it's a convex mirror, the radius of curvature is positive).

The object distance (distance of the patient from the mirror): do = 10.2 m.

To solve for the image distance, we need to find the focal length.

For a convex mirror, the focal length is half the magnitude of the radius of curvature, so f = 0.562 m / 2

= 0.281 m.

Now we can substitute the values into the mirror equation:

1/f = 1/do + 1/di

1/0.281 = 1/10.2 + 1/di

Simplifying the equation:

3.559 = 0.098 + 1/di

Subtracting 0.098 from both sides:

3.461 = 1/di

To find the image distance, we take the reciprocal:

di = 1/3.461

= 0.289 m

The image of the patient is located at a distance of 0.289 m from the mirror. Since the image distance is positive, it indicates that the image formed by the convex mirror is a virtual image.

Converting the image distance to centimeters, we have:

di = 0.289 m × 100 cm/m

= 28.9 cm

Therefore, the image of the patient is located approximately 28.9 cm from the convex mirror.

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At a snack store,9/10 of the customers bought pretzel's and 5/11 of those customers bought low-salt pretzels. Bill states that 9/11 of the customers bought low-salted pretzels. Does bill statement make sense?

Answers

Answer:

No

Step-by-step explanation:

Well no. The answer is given in the question. Strictly 5/11 of the customers bought low-salt. Saying 9/11 bought low-salt makes no sense

Samantha ran at a constant speed. she ran 1 mile in 10 minutes. write an equation that represents the amount of time t ( in minutes) that it takes her to run a distance of d miles?

Answers

Answer:

d=t10

Step-by-step explanation:

Simplify the expression. Write your answer as a power.
3^2x3^2
The simplified expression is

Simplify the expression. Write your answer as a power.3^2x3^2The simplified expression is

Answers

3^4
when multiplying exponents, if the bases are the same (the number that the exponent attaches to), you can simply add the exponents together.
if you were to solve the problem, you’d get the same answer
3^2 * 3^2 = 9*9 = 81
3^4 = 3*3*3*3 = 81

Answer:

3^4

Step-by-step explanation:

when both constants have equal base then powers are added

a geologist examines 17 sedimentary samples for magnesium concentration. the mean magnesium concentration for the sample data is 0.488 cc/cubic meter with a standard deviation of 0.0418 . determine the 80% confidence interval for the population mean magnesium concentration. assume the population is approximately normal. step 1 of 2: find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.

Answers

The answer is to find the critical value for constructing the standard deviation  80% confidence interval for the population mean magnesium concentration.


To find the critical value for the 80% confidence interval, we need to use the z-distribution since the sample size is greater than 30 and the population standard deviation is unknown.


The formula for finding the critical value is:
Critical value = z(alpha/2) * (standard deviation / sqrt(sample size))
Where alpha is the level of significance (1 - confidence level), z(alpha/2) is the z-score at alpha/2 level of the standard normal distribution, standard deviation is the sample standard deviation, and sample size is the number of samples.
Using a z-table or calculator, we can find that the z-score at the 40th percentile (80% confidence level) is 1.282.
Plugging in the values, we get:
Critical value = 1.282 * (0.0418 / sqrt(17)) ≈ 0.022
Therefore, the critical value for constructing the 80% confidence interval is approximately 0.022 (rounded to three decimal places).

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A plane leaves the Fairview airport, travelling due north at a rate of 920 kilometres per hour. At the same time, another plane departs from the same airport and travels due south at a rate of 990 kilometres per hour. In how long will the planes be 750 kilometres apart? If necessary, round your answer to the nearest minute. minutes and hours

Answers

Two planes depart from the Fairview airport, one traveling north at 920 km/h and the other traveling south at 990 km/h. We need to determine the time it takes for the planes to be 750 km apart.

Since the planes are moving in opposite directions, their combined speed is the sum of their individual speeds. The combined speed of the planes is 920 km/h + 990 km/h = 1910 km/h.

To determine the time it takes for the planes to be 750 km apart, we can use the distance formula = speed × time. Rearranging the formula, we have time = distance / speed.

Plugging in the values, we get time = 750 km / 1910 km/h. Calculating this, we find the time to be approximately 0.3921 hours.

To convert hours to minutes, we multiply by 60. Therefore, the planes will be 750 km apart in approximately 23.53 minutes.

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North
West
East
8
South
Home HHH
School

Answers

miss girl what is the question?!?! BYE

Write the formula that shows the dependence of the edge length a on the volume V of a cube.

Answers

Answer:

To calculate the edge length, take the cube root of the total volume of the cube.

Step-by-step explanation:

hope this helps ! :)

The formula that shows the dependence of the edge length 'a' on volume V of a cube will be a = ∛V.

What is a volume of a cube?

All the edges of the cube are congruent with each other. Suppose that: The side length of the considered cube is 'a' units. Then, we get:

Volume of that cube = a³ cubic units.

Solve the equation for 'a', then we have

V = a³

a³ = V

a = ∛V

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please help me ASAP!!!

Answers

To solve the equation we first squared both sides of it, that is:

\(\begin{gathered} (\sqrt[]{x+3})^2=(x+1)^2 \\ x+3=x^2+2x+1 \\ x^2+2x+1-x-3=0 \\ x^2+x-2=0 \end{gathered}\)

Now we can use the general formula for quadratic equations, then:

\(\begin{gathered} x=\frac{-1\pm\sqrt[]{1^2-4(1)(-2)}}{2(1)} \\ =\frac{-1\pm\sqrt[]{1+8}}{2} \\ =\frac{-1\pm\sqrt[]{9}}{2} \\ =\frac{-1\pm3}{2} \\ \text{then} \\ x=\frac{-1+3}{2}=\frac{2}{2}=1 \\ or \\ x=\frac{-1-3}{2}=-\frac{4}{2}=-2 \end{gathered}\)

Now that we found two option for x, we have to check which of them is really a solution for the original equation (we have to do this since we squared the original equation to get rid of the root), to do this we plug the values we found to see if the eqaution holds.

If x=1:

\(\begin{gathered} \sqrt[]{1+3}=1+1 \\ \sqrt[]{4}=2 \\ 2=2 \end{gathered}\)

hence x=1 is a solution for the original equation.

If x=-2:

\(\begin{gathered} \sqrt[]{-2+3}=-2+1 \\ \sqrt[]{1}=-1 \\ 1=-1 \end{gathered}\)

since this is not true, x=-2 is not a solution for the original equation.

Therefore, the solution for the equation is x=1.

If tests are worth 60% of your grade, and you have a 76.8% in that class, and you fail that test, what will be your grade?

Answers

Answer:

70

Step-by-step explanation:

it depends on the grade you make, so if you were to make a 65.47, your grade would be a 70, so any grade less than 70 should be the answer, hope this helps!

For four years Jakie paid R4 500 per month into a savings amount earning 6,9% interest per year, compounded monthly. She then stopped her monthly payments, but left the money in the amount to earn more interest. It still earned 6,9% interest per year, but at that time the compounding periods changed to quarterly. The balance in the account 10 years after she stopped her monthly payments, is A. R373 185,53. B. R491 413,14 C. R247 935,56. D. R216 000,00.

Answers

The balance in the account 10 years after Jakie stopped her monthly payments, with the interest compounding quarterly at a rate of 6.9% per year, is approximately R373,185.53.

To calculate the balance in the account 10 years after Jakie stopped her monthly payments, we need to consider two periods: the period when she was making monthly payments and the period after she stopped making payments.

During the period when she was making monthly payments, the interest was compounded monthly at a rate of 6.9% per year. We can use the formula for compound interest to calculate the future value of the monthly payments. Using the formula:

Future Value = Payment * [(1 + interest rate/compounding periods)^(compounding periods * number of years) - 1] / (interest rate/compounding periods)

Plugging in the values: Payment = R4,500 , Interest rate = 6.9% = 0.069, Compounding periods = 12 (monthly)

Future Value = R4,500 * [(1 + 0.069/12)^(12 * 4) - 1] / (0.069/12)

Future Value = R280,192.52

Now, we need to calculate the balance after 10 years when the compounding periods change to quarterly. We can use the same formula for compound interest, but with a different compounding period.

Future Value = Previous Balance * (1 + interest rate/compounding periods)^(compounding periods * number of years)

Plugging in the values: Previous Balance = R280,192.52, Interest rate = 6.9% = 0.069, Compounding periods = 4 (quarterly), Number of years = 10

Future Value = R280,192.52 * (1 + 0.069/4)^(4 * 10)

Future Value = R526,618.01. Therefore, the balance in the account 10 years after Jakie stopped her monthly payments is A. R373 185,53.

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what is 10 times smaller than 0.6

Answers

Answer:

0.06

Step-by-step explanation:

The answer is 0.06 because you are moving the number behind the decimal 10 times

pls help! math is my worst subject and i hate all this

pls help! math is my worst subject and i hate all this

Answers

Answer: 10

Step-by-step explanation:

Answer:

KL = 10

Step-by-step explanation:

Since K appears to be a point in JL, we need to add the lengths JK and KL and make it equal to the length of JL

2x - 2 + x - 9 = 2x + 8

Then we can solve for x from there

2x - 2 + x - 9 = 2x + 8

3x - 11 = 2x + 8   [Combine like terms]

x - 11 = 8   [Subtract 2x from both sides of the equal sign]

x = 19   [Add 11 to both sides of the equal sign]

So now that we have the value of x, in order to solve the length of KL, we need to put in the value of x into that expression

x - 9 → 19 - 9 = 10

KL = 10

Hope this helps! I apologize if I'm incorrect

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