If Juan baked 250 cookies in 2 hours, then he can make approximately 2.08 cookies in one minute.
The unitary method involves finding the value of one unit and then using that to find the value of any number of units.
In this problem, the unit we are interested in is cookies per minute. We need to find out how many cookies Juan can make in one minute, given that he can make 250 cookies in 2 hours.
To find out how many cookies Juan can make in one hour, we can use the unitary method as follows:
1 hour = 60 minutes (since there are 60 minutes in one hour)
So, if Juan can make 250 cookies in 2 hours, he can make:
250 cookies / 2 hours = 125 cookies per hour
Using the unitary method again, we can find out number of cookies Juan can make in one minute:
1 hour = 60 minutes
So, Juan can make:
125 cookies / 60 minutes = 2.08 cookies per minute
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A transformation is applied to create a new figure. Which transformation does not preserve congruence?
A reflection across the x-axis
A translation 4 units up
A dilation by a scale factor of 5
A rotation 90° counter clockwise
Option C. The transformation that does not preserve congruence is a dilation by a scale factor of 5.
Congruence is the property of having the same size and shape. In geometry, transformations are operations that change the position, size, or orientation of a figure. Some transformations, such as reflections, translations, and rotations, preserve congruence, meaning that the resulting figure is congruent to the original figure. Other transformations, such as dilations, do not preserve congruence, meaning that the resulting figure is not congruent to the original figure.
A dilation is a transformation that changes the size of a figure by stretching or compressing it. A dilation by a scale factor of 5 means that every point of the figure is multiplied by 5 with respect to a fixed point called the center of dilation. The resulting figure is similar to the original figure, but not necessarily congruent.
On the other hand, reflections, translations, and rotations preserve congruence. A reflection across the x-axis reflects the figure across the x-axis while preserving its shape and size. A translation 4 units up moves the figure up without changing its shape or size. A rotation 90° counter-clockwise rotates the figure 90 degrees counter-clockwise while preserving its shape and size.
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A transformation is applied to create a new figure. Which transformation does not preserve congruence?
A. A reflection across the x-axis
B. A translation 4 units up
C. A dilation by a scale factor of 5
D. A rotation 90° counter clockwise
Which theorem or postulate proves that △ABC and △DEF are similar?
Select from the drop-down menu to correctly complete the statement.
The two triangles are similar by the ________.
A. AA Similarity Postulate
B. SSS Similarity Theorem
C. SAS Similarity Theorem
Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.
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How can you determine if two functions are inverses graphically?
An inverse function is defined as a function, which can reverse into another function.
I'm not sure if this is right I can't exactly remember
Find an equivalent ratio in simplest terms: 56:88
Answer:
7:11
Step-by-step explanation:
The ratio is 56:88
We simplify by 8 and get the ratio
7:11
We can't simplify anymore, so the answer is 7:11
what is 10000m to miles?
To convert meter into miles we simply have to divide meter by 1609.34 so we have 1000 m as 6.21 miles.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.
first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).
The imperial unit system uses the symbol mi to designate the mile as a unit of length.
Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.
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subtract
6 1/2 - 3 9/11
Answer: 2 15/22
Step-by-step explanation: To solve this, let's first turn the mixed numbers into improper fractions. When we do so, we get 13/2 and 42/11. Now, we make a common denominator. We can turn both denominators into 22. When we do so, we get 143/22 and 84/22. Now, we subtract. When we subtract the two fractions, we get 2 15/22.
Point P divides segment AB in the ratio AP:PB = 3:10. Where is point P located?
P is located at the point (31/13, 44/13).
How to determine?
Let A and B be two points on a line segment, and let P be the point that divides AB in the ratio 3:10. We can find the coordinates of P as follows:
Suppose that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2). Then the coordinates of P can be found using the following formula:
P = ( (10 * x1 + 3 * x2) / (10 + 3), (10 * y1 + 3 * y2) / (10 + 3) )
In other words, we add 10 parts of x-coordinates of A to 3 parts of x-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the x-coordinate of P. Similarly, we add 10 parts of y-coordinates of A to 3 parts of y-coordinates of B, and divide by the sum of the parts (10 + 3 = 13) to get the y-coordinate of P.
So if we know the coordinates of A and B, we can plug them into the formula above to find the coordinates of P.
For example, suppose that A has coordinates (1, 2) and B has coordinates (7, 8). Then the coordinates of P can be found as follows:
P = ( (10 * 1 + 3 * 7) / (10 + 3), (10 * 2 + 3 * 8) / (10 + 3) )
= ( (10 + 21) / 13, (20 + 24) / 13 )
= (31/13, 44/13)
Therefore, P is located at the point (31/13, 44/13).
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How many pounds is 5 kg in pounds?
5 kilograms (kg) is equivalent to 11.02 pounds (lbs). To convert kilograms to pounds, you need to use the conversion factor of 2.20462 pounds per kilogram.
This means that you can multiply the number of kilograms by this conversion factor to get the equivalent weight in pounds. The conversion from kilograms to pounds is commonly used in daily life, especially for weighing objects such as produce, parcels, and personal belongings.
Understanding how to convert between different units of weight is also important for international travel and trade, where different countries may use different units of measurement.
It's important to note that while kilograms and pounds are both units of weight, they are not interchangeable with other units of measurement such as volume or length. Additionally, some countries use different units of weight such as grams or ounces, so it's important to pay attention to the units used in a given context.
In summary, 5 kilograms is equal to 11.02 pounds, and understanding how to convert between different units of weight is important in daily life, international trade, and other applications that involve measuring weight.
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special right triangles calculator
Online calculators can solve for sides, angles, area, and perimeter of special right triangles, such as 45-45-90 and 30-60-90.
There are numerous web-based number crunchers that can assist you with addressing exceptional right triangles, like the 45-45-90 and 30-60-90 triangles. A few instances of extraordinary right triangle mini-computers are:
Calculator.net: This site has a unique right triangle number cruncher that can settle for the sides, points, and area of 45-45-90 and 30-60-90 triangles.
Omni Number cruncher: This site has a unique right triangle mini-computer that can settle for the sides, points, region, and border of 45-45-90 and 30-60-90 triangles.
Mathsisfun.com: This site has an intelligent apparatus that can help you comprehend and address exceptional right triangles, including 45-45-90 and 30-60-90 triangles.
These adding machines can save you time and assist you with rapidly tackling extraordinary right triangles, particularly assuming that you are chipping away at calculation issues or developments.
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The complete question is:
Explain about special right triangles calculator.
Estadio Azteca, a stadium in Mexico City, has a capacity of 1. 04 X 10% people. One day,
spectators filled Estadio Azteca in 25 minutes. What was the average number of people
who entered the stadium per minute? Express your answer in scientific notation.
1. What division expression represents the average number of people
per minute?
2. How would you express the divisor in scientific notation?
3. Rewrite your division expression from Exercise 1 with the divisor
expressed in scientific notation.
4. Use the Associative Property to regroup. Then simplify.
5. In scientific notation, what was the average number of people who
entered Estadio Azteca per minute?
1. The division expression represents the average number of people per minute is (1.04 x 10⁶) / 25
2. The divisor in scientific notation is (2.5 x 10¹)
3. The rewritten expression is (1.04 x 10⁶) / (2.5 x 10¹)
4. The simplified expression is (1.04 x 10⁶) / (2.5 x 10¹)
5. The average number of people who entered Estadio Azteca per minute is 4.16 x 10⁴.
1. The division expression that represents the average number of people per minute is the total number of spectators who filled Estadio Azteca (1.04 x 10⁶) divided by the amount of time it took them to enter (25 minutes). This expression can be written as
=> (1.04 x 10⁶) / 25
2. To express the divisor (25) in scientific notation, we would need to move the decimal point three places to the left, giving us
=> (2.5 x 10¹)
3. Rewriting the division expression from Exercise 1 with the divisor expressed in scientific notation, we get
=> (1.04 x 10⁶) / (2.5 x 10¹)
4. We can use the Associative Property to regroup the expression as
=> (1.04 x 10⁶) / (2.5 x 10¹)
=> 4.16 x 10⁴.
5. In scientific notation, the average number of people who entered Estadio Azteca per minute was 4.16 x 10⁴.
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Find the length of side x in simplest radical form with a rational denominator.
The length of side {x} in simplest radical form with a rational denominator is 2√6.
What is Pythagoras theorem?According to the Pythagoras theorem, we can write -
the square of the hypotenuse is equal to the sum of the squares of the other two sides.Mathematically, we can write -(hypotenuse)² = (base)² + (perpendicular)²
(h)² = (b)² + (p)²
Given is the right - angled triangle.
We can write using the Pythagoras theorem as -
x² = √12² + √12²
x² = 12 + 12
x² = 24
x = √2 x 2 x 2 x 3
x = 2√6
Therefore, the length of side {x} in simplest radical form with a rational denominator is 2√6.
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a regular pentagon has an area of 124.25 square meters, and each side of the pentagon measures 7.1 meters. what is the length of an apothem of the pentagon?
The scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.
What is length?Length is a measure of dis dancer size it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept mathematics science engineering and many others build it is used to calculate the dimensions of this area and more it is also used to measure the time it takes to travel A certain distance link this and important concept that is used to measure and compare objects.
To answer this question, we can use the ratio of the length of the cafeteria in the scale drawing compared to the actual length of the cafeteria. The ratio is 11 inches : 88 feet. We can simplify this ratio to 1 inch : 8 feet. Therefore, the scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.
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What is the conversion of 163 lbs to kg ?
The conversion of mass unit lbs, 163 lbs to other mass unit kilogram is equals to the 73.93555631 kg.
Kilogram (kg) and pound (lbs) are used to measure the mass of the substance/objects. Kilogram is used for mass in the International System of Units, whereas pound is used in the imperial and US customary systems. To convert lbs to kg, multiply the particular lbs value by 0.45359237 kg. For example, to convert x lbs to kilogram, multiply the x lbs by 0.45359237 kg. So,x lbs = x × 0.45359237 kg
x lbs = 0.45359237x kg, if x = 6
Therefore, 6 lbs is approximately equal to 2.72155422 kg. It is very important skill to convert the lbs to kilograms in mass measurment. Now, we have 163 lbs. We know that one lbs = 0.45359237 kg
Therefore, 163 lbs = 163 x 0.45359237 kg
163 lbs = 73.93555631 kg.
Hence, 163 lbs is equal to 73.93555631 kg.
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Estimate the product by rounding
each number to the nearest ten. Then
find the product.
68 × 321
Estimate:
Actual product:
Answer:
Estimate: 22,400
Actual Product: 21,828
Step-by-step explanation:
To estimate the product of 68 and 321 by rounding to the nearest ten, you can round 68 to 70 and round 321 to 320. Then you can find the product of 70 and 320:
70 × 320 = 22,400
This is an estimate of the actual product.
To find the actual product, you can multiply 68 and 321:
68 × 321 = 21,828
Therefore, the estimate is 22,400 and the actual product is 21,828.
What is a value of inches to the nearest hundredth? 1/22
Answer:
Step-by-step explanation:
0.14285714285714286
What is the binomial probability formula used for?
The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.
The formula for binomial probability is:
[tex]P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\[/tex]
where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.
The binomial probability formula can be used in a variety of applications, such as:
Predicting the probability of a certain number of defective products in a production runEstimating the likelihood of a certain number of people out of a sample having a particular characteristicAnalyzing the probability of winning a certain number of games in a sports seasonFor more questions on Binomial Probability
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If 3 pizzas cost $26.97, one pizza is $ ____
Complete the following sentences with labels from the box plot.
Minimun
a) 50% of the values are less than the
b)
75% of the values are greater than the
c) 25% of the values are greater than the
Lower
quartile
Median
Upper
quartile
Maximum
The correct conclusions about the triangle reflections are -
The red triangle is the reflection of the triangle across the{y} - axis.
The green triangle is the reflection of the triangle across the{x} - axis.
What is quartile?In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.
Given is the boxplot as shown in the image.
From the box - plot, we can write the results as -
50% of the values are less than the median.75% of the values are greater than the lower quartile.25% of the values are greater than the upper quartile.Therefore, We c
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Johnny has 24 pairs of shoes which is 4 less than two thirds the amount of shoes Ralph has. How many pairs of shoes Ralph have?
Answer: Really?
Step-by-step explanation:
How to convert 1.77 meters to feet?
After converting 1.77 meters to feet its value is equal to 5.8071 feet ( approximately ) .
Conversion of meters to feet we get,
Meter and feet both are the units used to measure length.1 meter is equal to 3.28084 feet
Substitute the value given meters to convert into feet.
Now convert 1.77 meters to feet
⇒ 1.77 meters = ( 1.77 ) × ( 3.28084 ) feet
⇒ 1.77 meters = 5.8070868 feet
⇒ 1.77 meters = 5.8071 feet ( approximately )
Therefore, the conversion unit of 1.77 meters to feet is given by 5.8071 feet ( approximately ) .
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The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.
Answer:
D
Step-by-step explanation:
Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else
The temperature (in degrees Celsius of)Delhi during a particular Fortnight in the month of June is given below 38,40,42,43,45,39,40,37,38,41,44,44,40,42,40 rearrange the data in descending order and find the range
Answer:
Arranging the temperature data in descending order, we get:
45, 44, 44, 43, 42, 42, 41, 40, 40, 40, 39, 38, 38, 37, 36
The range of a set of data is the difference between the highest and lowest values.
Here, the highest temperature is 45°C and the lowest temperature is 36°C. Therefore, the range is:
Range = highest value - lowest value = 45°C - 36°C = 9°C
So the range of the temperature data is 9°C.
Wade and Riley ride their bikes to school each morning.they want to compare who takes the longest time to ride their bike to school through the week. Is the data numerical or categorical
As they want to compare who takes the longest time to ride their bike to school, such data will be considered as numerical because it involves quantitative measurements (time taken to ride a bike) and can be represented by numbers.
What should we understand about numerical data?Numerical data, also known as quantitative data, is information that is typically presented in the form of numbers and does not include any language or descriptive information. It's always measurable and can be added up.
We can perform mathematical and arithmetic operations on this type of data, and it can be expressed in decimal or fraction form. It can be useful in presenting information such as height, weight, distance and age, for example.
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how do you find the horizantiol asmptote
Answer:
1) Put equation or function in y= form.
2) Multiply out (expand) any factored polynomials in the numerator or denominator.
3) Remove everything except the terms with the biggest exponents of x found in the numerator and denominator. These are the "dominant" terms.
What size is 65 inch in CM?
The value of length of 65-inch after converting in decimals is 165.1 centimeters.
The conversion is important because some countries, such as those in Europe and Asia, use the metric system, which is based on centimeters, while others, such as the United States, use the imperial system, which is based on inches.
Knowing the conversion rate between these two systems can be useful in many situations, especially when it comes to purchasing electronics or other goods that are measured in different units of measurement.
Here, to convert inches to centimeters the formula used is:
1inch is equal to 2.54 cm.
In this case, 65 x 2.54 equals 165.1 centimeters.
The length of 65-inch is equal to approximately 165.1 centimeters.
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This data set shows the scores that each of the students in a class earned on a quiz.
87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100
Identify the measure that is most likely considered best to describe the variability in the quiz scores.
Select from the drop-down menus to correctly complete the statement.
Since there appear to be
Choose.
in the data set, and since the
Choose.
is close to the median, the
Choose.
can be considered best to describe the variability in the quiz scores
Since there appear to be no outlier in the data set, and since the mean is close to the median, the range can be considered best to describe the variability in the quiz scores
How to determine the measure of variabilityThe dataset is given as
87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100
There are no outliers in the dataset
This means that the measure of variability to use is the range
Also, it means that the median and the mean are close to one another
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Instructions & Problem in picture
What is the conversion of 300 lbs to kg ?
The conversion of 300 lbs to kg is 136.054 kg.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given,
Total units = 300 lbs
We have the conversion factor that,
1 kilogram = 2.205 pounds
Or,
2.205 pounds = 1 kilogram
1 pounds = 1 / 2.205 kg
lbs is same as pounds.
300 lbs = 300 × (1 / 2.205) kg
= 136.054 kg
Hence the measurement of conversion of 300 lbs is 136.054 kg.
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8 A party supply store buys balloons and fills them with helium. The total cost of the
balloon and the helium is $0.50. The balloons are then marked up by 80% and sold to
customers. How much does the customer pay for a filled balloon?
The customer pays $0.72 for a filled balloon.
How to calculate the cost of the balloonLet's denote the cost of the balloon and the helium as x.
According to the problem statement, we know that:
x + 80% of x = $0.50
We can simplify this equation by multiplying both sides by 1.8, which is the same as multiplying the right-hand side by 180%:
1.8x + 1.44x = $0.90
2.24x = $0.90
Dividing both sides by 2.24, we get:
x = $0.40
So the cost of the balloon and helium is $0.40.
The price that the customer pays for the balloon is the cost plus the markup, which is 80% of the cost:
Price = Cost + Markup
Price = $0.40 + 80% of $0.40
Price = $0.40 + $0.32
Price = $0.72
Therefore, the customer pays $0.72 for a filled balloon.
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Answer:
$0.90
Step-by-step explanation:
100%= $0.50
100%+80%= 180%
1%= $0.50/100
= $0.005
180%= $0.005*180
= $0.90
How to convert 115 f to c?
The required converted value of the temperature Fahrenheit to Celsius for the value 115°F is given by 46.1111°C .
Fahrenheit and Celsius both are the units used to measure the temperature.
To convert Fahrenheit to Celsius use the following formula we have:
( F − 32 ) × ( 5 / 9 ) = °C
Substitute the 115 Fahrenheit to convert into Celsius we get,
= ( 115°F − 32 ) × ( 5 / 9 )
= ( 83 ) × ( 5 / 9 )
= ( 415 / 9 )°C
= 46.1111 °C
Therefore, the converted unit of Fahrenheit to Celsius using standard relation between the two is equal to 46.1111°C .
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