It is important to consider scholarships and grants before loans to pay for higher education because Scholarships and grants are free money that do not need to be paid back. That is option A.
What is Scholarship and grants?Scholarship and grants are defined as payments that are being granted to an individual upon an academic achievement which usually involves a stipulated amount of money.
Scholarship and grants are important due to the following reasons:
it enable students to obtain education they may not have access to otherwise.it provide financial support for students to help pay for a college degree.There is no need of refunds once the scholarship and grant is given.Learn more about scholarship here:
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Part 2- Calculate Relative Frequencies
Calculate the relative frequencies for Tables 1 and 2 by dividing the value in each cell by the total for that table.
(For example, to calculate the relative frequency of men in Cambridge who walked to work, divide 8,110 by
20,276. You should get a decimal between 0 and 1 that, after moving the decimal point to the right two places,
represents the proportion of men in Cambridge who walked to work.) Round your numbers to the nearest whole
percentage and place them in Tables 3 and 4.
The relative frequency of men in Cambridge who walked to work is 0.39
How to find the relative frequency?Relative frequency is defined as the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
We have to consider that frequency of men in Cambridge who walked to work, 8,110 by 20,276.
In order to find the relative frequencies for Tables 1 and 2 by dividing the value in each cell by the total for that table.
Relative frequency = 8,110 /20,276
The Relative frequency = 0.399980
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If ΔABC≅ΔDEF, then what corresponding side is congruent to side BA? (Enter your answer using the segment letters only.)
If the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
What are congruent triangles?The dimensions of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairs of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. Triangles can satisfy a wide variety of congruence requirements.
From the ΔABC ≅ ΔDEF we observe that the corresponding segment to BA in triangle DEF is ED.
Hence, if the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
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A chicken coop contains chickens and rabbits. There are altogether 56 legs and 20 heads, How many chickens are there in this chicken coop?
(Show the solution by using an equation)
Select the angle(s) with measures that are greater than m<2
Answer:
1, 4, and 7
Step-by-step explanation:
The rest are equal to angle 2
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 PostulateB. SSS Similarity TheoremC. SAS Similarity Theorem
Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.
Step-by-step explanation:
What is the conversion of 210 lbs to kg ?
The conversion of 210 lbs to kg is 95.2544 kg.
Lbs and kg are units of weight or mass used to measure the amount of matter in an object.
Lbs is an abbreviation for pounds, which is an imperial unit of weight commonly used in the United States, United Kingdom, and a few other countries. It is defined as 0.45359237 kilograms, or approximately 16 ounces.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor of 1 lb = 0.45359237 kg.
So, to convert 210 lbs to kg, you can multiply 210 by 0.45359237:
210 lbs * 0.45359237 kg/lb = 95.2544 kg
Therefore, 210 pounds is approximately equal to 95.2544 kilograms.
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What are the coordinates of V' after a reflection across y=-x with pre-image points V(−3, −1), Z(−3, 2), G(−1, 3), M(1, 1)?
The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).
In mathematics, what is dilation?
Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit and there are only four basic types of transformations. They are as follows:
RotationTranslationReflectionDilation or ResizingSome characteristics stay constant during dilation are:
The figure's angles are all the same.The midpoints of the figure's sides stay the same as the midpoint of the dilated form.The figure's parallel and perpendicular lines stay the same as the dilated figure's parallel and perpendicular lines.The visuals stay unchanged.Now,
Before reflection
Coordinates of V are (−3, −1).
and reflection of V is across y=-x, which will make values for x and y opposite or change the sign of coordinates.
then coordinates of V' are (3,1)
hence,
The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).
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Jada walks at a speed of 3 mph Elena walks at a constant speed of 2.8 mph. How much farther would they be after 3 hrs?
i need help i dont under stand so i took a picture of it bc its to much words i need help with part A and part B
Answer:
Part A:
Method B was solved incorrectly. The mistake that Sylvan made was in misinterpreting the problem. He used the number 12 as the value of one of the digits in the dividend, when it actually represents the number of bags of apples in the market.
Part B:
To solve the problem using Method B, we need to understand that the number 12 represents the number of bags of apples in one of the 64 bags. Therefore, we can find the total number of bags of apples by multiplying the number of bags by 12. This gives us:
64 x 12 = 768
Now, we can divide 768 by 10 to find the number of ten-pound bags of apples:
768 ÷ 10 = 76.8
Therefore, there are 76 ten-pound bags of apples in the market.
For Method A, Sylvan made no mistake, so there is no need to solve the problem again.
If a equals 10 mi and c equals 8mi what is the missing leg length (c) round to the nearest tenth if nessasary
Using the Pythagorean theorem we get the value of the missing leg BC in the triangle is 6 miles.
Since AC is the hypotenuse and AB is one of the legs of the right-angled triangle ABC, BC is the other leg. Using the Pythagorean theorem, we have:
BC² = AC² - AB²
When we replace the values in the problem, we obtain:
BC²= 10² - 8²
BC² = 100 - 64
BC² = 36
The result of taking the square root of both the sides is:
BC = 6
Therefore, the value of the missing leg BC in the triangle is 6 miles. The Pythagorean Theorem is a fundamental concept in mathematics that relates to right-angled triangles. This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with discovering it. The hypotenuse is the side of a right-angled triangle that is opposite the right angle. It is the longest side of the triangle and is always opposite the largest angle. The hypotenuse is important because it determines the size of the triangle and is used in many calculations involving right-angled triangles. The Pythagorean Theorem is used in various fields such as engineering, physics, and construction. It is a basic tool for calculating distances and determining whether or not a triangle is a right-angled triangle.
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We say a definite integral is improper if? 1. one ____ is infinite, or if 2. the ____ is infinite.
A definite integral is an integral of a function over a closed interval. An improper integral is a definite integral that has at least one of its limits of integration set at infinity or an interval of integration that is infinite.
This can happen when the domain of the function is infinite or when one of the limits of integration is infinite. In this case, the integral can either diverge (no finite answer) or it may converge to a finite value. In either case, it is an improper integral.
A definite integral is an integral of a function over a closed interval, taking the form of the definite integral: ∫ a b f(x)dx. This means that the function is integrated from the lower limit of “a” to the upper limit “b”. An improper integral is a definite integral where either one of the limits of integration is set at infinity or the interval of integration is infinite. This can happen when the domain of the function is infinite, meaning that the function exists and is defined for all real numbers, or when one of the limits of integration is infinite. In this case, the integral can either diverge (no finite answer) or it may converge to a finite value. In either case, it is an improper integral, and it must be treated differently than a regular definite integral.
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What is Poke the bear in cyber security?
"Poke the bear" in cybersecurity refers to intentionally triggering a potential threat in order to test an organization's security systems and identify vulnerabilities.
In cybersecurity, "Poke the bear" means intentionally attempting to trigger a potential cyber threat in order to test an organization's security systems and identify vulnerabilities. This may involve actions such as sending a phishing email to see if employees fall for it, or attempting to breach a system in order to determine how strong its defenses are.
By proactively identifying weaknesses in their security systems, organizations can take steps to improve their cybersecurity posture and reduce the risk of a successful attack. However, "Poking the bear" should be done carefully and ethically, with appropriate permissions and safeguards in place.
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Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of angle ADE is 68°. Triangle ABC with segment DE. Angle ADE measures 68 degrees. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 22°: Statement, Measure of angle ADE is 68 degrees, Reason, Given, and Statement, Measure of angle DAE is 90 degrees, Reason, Definition of right angle, leading to Statement 3 and Reason 2, which further leads to Statement, Measure of angle ECB is 22 degrees, Reason, Substitution Property. Statement, Segment DE joins the midpoints of segment AB and AC, Reason, Given, leading to Statement, Segment DE is parallel to segment BC, Reason, Midsegment theorem, which leads to Angle ECB is congruent to angle AED, Reason 1, which further leads to Statement, Measure of angle ECB is 22 degrees, Reason, Substitution Property. Which statement and reason can be used to fill in the numbered blank spaces?
What is Midsegment Theorem ?
The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.
Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:
Statement 1: Measure of angle ADE is 68 degrees.
Reason 1: Given.
Statement 2: Measure of angle DAE is 90 degrees.
Reason 2: Definition of right angle.
Statement 3: Measure of angle AED is 22 degrees.
Reason 3: Angle sum of triangle ADE is 180 degrees.
Statement 4: Segment DE joins the midpoints of segment AB and AC.
Reason 4: Given.
Statement 5: Segment DE is parallel to segment BC.
Reason 5: Midsegment theorem.
Statement 6: Angle ECB is congruent to angle AED.
Reason 6: Corresponding angles formed by parallel lines.
Statement 7: Measure of angle ECB is 22 degrees.
Reason 7: Substitution property.
So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.
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Carlos uses a food delivery service to order lunch. He paid $13.75 for lunch, which included the cost of the food and a delivery fee, which is 10% of cost of the food.
What was the cost of Carlos' lunch before the delivery fee?
Enter your answer in the box.
Answer: $12.50
Step-by-step explanation:
10% of 12.50 is 1.25
add and get 13.75
Find the sum: 1/10 + 5/100
A: 15/100
B: 15/10
C:6/100
D:15/110
15/100
1/10+5/100
step1: di LCM si nye denominator si nye 100..emegbe zã denominator la nàtsɔ ama LCM la ..le ema megbe la, èdzinɛ ɖe edzi kple numerator
10+5/100
afɔɖeɖe 2: ƒo xexlẽdzesifianu la nu ƒu
15/100
ale,1/10+4/100 ƒe ƒuƒoƒo nye 15/100
how to convert 5/6 as percent?
5/6 can be expressed as 83% in percentage form.
Percentages are a way of expressing a fraction as a portion of 100. This makes it easier to compare fractions and understand their relative sizes. In this case, we will be converting the fraction 5/6 into a percentage.
To convert 5/6 into a percentage, we need to first divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. This will give us the percentage equivalent of the fraction.
So, let's do the math:
5 ÷ 6 = 0.83333...
We can round this to two decimal places, giving us:
0.83
Now, we need to multiply this by 100 to convert it into a percentage:
0.83 × 100 = 83%
It's important to remember that percentages are a way of expressing a portion of 100. So, when we say that 5/6 is 83%, we are saying that 5/6 is equivalent to 83 out of 100. This means that if we were to divide something into 100 equal parts, 83 of those parts would be equivalent to 5/6.
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24 sports drinks cost $29.99 how many sports drinks can be purchased for $50?
$50 can purchase 40 sports drinks.
Describe Purchase?A purchase is the acquisition of goods or services in exchange for money or other forms of payment. It is a common transaction that takes place in everyday life and can range from small purchases such as buying groceries, to larger purchases such as buying a car or a house.
When making a purchase, a buyer typically identifies a need or desire for a particular product or service, and then selects a seller or retailer who offers the desired item. The buyer then pays the seller the agreed-upon price, either in cash, by credit card, or through other forms of payment.
Purchases can take place in a variety of settings, including physical stores, online marketplaces, and through person-to-person transactions. The process of making a purchase may involve comparing prices, negotiating with the seller, and evaluating the quality and features of the product or service being purchased.
In addition to individual purchases, businesses and organizations also make purchases to acquire the resources and materials needed to operate and grow. This can include purchasing raw materials, equipment, and services from suppliers, as well as acquiring other businesses through mergers and acquisitions.
Overall, purchases are an important aspect of economic activity and play a crucial role in the functioning of markets and the economy as a whole.
Let's start by finding the cost of one sports drink:
$29.99 / 24 = $1.25 per sports drink
To find how many sports drinks can be purchased for $50, we divide $50 by the cost of one sports drink:
$50 / $1.25 per sports drink = 40 sports drinks
Therefore, $50 can purchase 40 sports drinks.
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What is the conversion of 180cm to ft ?
The conversion of 180 centimetres in feet is equals to the 5.90 feet. Thus, conversion factor for conversion of units, centimetres to feet is 5.90/180 = 0.032.
A conversion is defined as to convert one set of units into another set of units by multiplication or division. A number or value which used in conversion is called conversion factor. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 180 meters
= 180 × 3.28 feet
= 590.4 feet --(1)
But we need to convert 180 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 180 meters = 18000 centimeters --(2). Now from equations (1) and (2),
18500 centimeters = 590.4 feet,
Divide both parts by 100,
=> 180 centimetres = (590.4/100 ) feet
= 5.90 feet
Hence required value is 5.90.
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assume the representative sample contained 500 liters of water and the volume of meadow lake is 150,000,000 liters. how many yellow fish would you expect to find in the whole lake, based on the class average?
Therefore, we would anticipate finding 150,000x golden fish throughout the entire lake based on the class average.
What in math is a volume?Volume is the measure of room within a particular 3D entity in mathematics. For illustration, a fish aquarium measures three feet long by one foot wide by two feet high. The capacity is calculated by multiplying the length, the breadth, and the height, or 3x1x2, that also equals six. The fish aquarium therefore has a 6 cubic foot capacity.
Let's say the class average is "x" yellow fish per liter of water.
If the sample contained 500 liters of water, we can estimate the number of yellow fish in the sample as:
500 * x = 500x
Now that we have an approximation, we can use it to determine the anticipated number of yellow fish in the 150,000,000-liter pool as a whole.
The expected number of yellow fish in the whole lake would be:
(500x / 500) * 150,000,000 = 150,000x
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4. f(x) = 3x
y-intercept
Domain
Range
End Behavior:
As x → ∞o, f(x) →
As x→→∞, f(x) →
Domain (-2,-1,0, 1, 2}
The given function is f(x) = 3x.
To find the y-intercept, we plug in x = 0:
f(0) = 3(0) = 0
So the y-intercept is 0.
The domain of the function is given as (-2, -1, 0, 1, 2}. This means that the function is defined only for these values of x.
The range of the function is all real numbers, since for any real number y, we can find an x such that f(x) = y. We can see this from the fact that the function is a linear function with a non-zero slope.
The end behavior of the function as x approaches infinity depends on the sign of the coefficient of x, which is positive in this case. Therefore, as x → ∞, f(x) → ∞. Similarly, as x → -∞, f(x) → -∞.
Note that the given domain is a finite set of values, and does not affect the end behavior of the function as x approaches infinity or negative infinity...
significant figures include only the certain digits of a measurement. True or False?
The statement that significant figures include only the certain digits of a measurement is False
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Statement: significant figures include only the certain digits of a measurement
The above statement is false
This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.
The addiitonal uncertain digit implies that the statement is false
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Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6. 5% simple interest over the first 10 years
If you deposit $5,000 in a savings account and will earn 6. 5% simple interest over the first 10 years, then will earn $3,250 in interest over the 10-year period
Simple interest is a type of interest that is calculated only on the principal amount of an investment, and not on any interest that has been earned previously. It is typically expressed as a percentage of the principal amount and is applied over a fixed period of time.
To calculate the interest earned on the account over the 10-year period, we can use the formula for simple interest:
Interest = Principal x Rate x Time
Here, the principal is $5,000, the interest rate is 6.5%, and the time is 10 years.
Plugging in the values, we get:
Interest = $5,000 x 0.065 x 10
Interest = $3,250
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The given question is incomplete, the complete question is:
Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
Examine the diagram of circle D, where two chords, JL¯¯¯¯¯¯¯ and FH¯¯¯¯¯¯¯¯, are equidistant from D. Segment BC is a diameter of circle D and bisects JL¯¯¯¯¯¯¯ and FH¯¯¯¯¯¯¯¯ at points K and G, respectively.
The diagram as described in the problem.
Which statements are true?
Select all that apply.
1. m∠FCG=90∘
2. ∠JKB≅∠FGC
3. m∠BKL=90∘
4. ∠BKL≅∠FCG
Answer:2
Step-by-step explanation:
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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A computer and a printer cost a total of 1062. The cost of the computer is two times the cost of the printer.Find the cost of each item
Answer:
The cost of the computer is 712 and the cost of the printer is 350. This can be calculated by setting up a simple equation: x + 2x = 1062, where x is the cost of the printer. Solving for x gives x = 350, which means that the cost of the printer is 350 and the cost of the computer is 2x = 2(350) = 712.
how to convert 50 meters to yards?
As per the conversion factor, 50 meters is equal to 54.6805 yards
Before we dive into the mathematical process of converting meters to yards, it is essential to understand the basic concept of these two units of distance. Meters and yards are both units of length used to measure distances, and they are both commonly used in different parts of the world.
Now, to convert 50 meters to yards, we need to know the conversion factor between meters and yards. A conversion factor is a mathematical relationship between two units of measurement. In this case, the conversion factor between meters and yards is 1 meter equals 1.09361 yards.
Using this conversion factor, we can easily convert 50 meters to yards. To do this, we simply multiply the distance in meters by the conversion factor. So,
50 meters x 1.09361 yards/meter = 54.6805 yards.
In conclusion, converting 50 meters to yards involves understanding the conversion factor between these two units of distance and using it to multiply the given distance in meters. With a little bit of practice, you can easily convert distances between meters and yards or any other units of measurement.
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Please help I’ll give brainliest
Answer:
[tex]9x^{2} +14x+1[/tex]
Step-by-step explanation:
We need to add these two polynomials together.
The simple way to do this is by adding like terms.
[tex]9x^{2}[/tex] stays the same as there is only one term.
However, we add the integer and the x term together.
So our final answer would be:
[tex]9x^{2} +14x+1[/tex]
Classify the following expression by the number of terms. 3x
The expression "3x" with one term is called a monomial. In algebra, a term is a unit of an expression that can be separated by addition or subtraction.
A monomial is a type of polynomial expression that has only one term consisting of a coefficient and a variable or variables raised to a non-negative integer power. The expression "3x" is an example of a monomial, where "3" is the coefficient and "x" is the variable raised to the first power. Monomials can be multiplied together or combined using the rules of exponents, making them important in algebraic simplification and manipulation. Understanding the different types of expressions and terms is fundamental in mastering algebraic equations and solving problems.
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Solve four and six tenths plus six and eight tenths = ___.
fourteen tenths
twenty-two tenths
one hundred two tenths
one hundred fourteen tenths
The sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
Describe Algebraic Expression?In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.
An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.
For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.
Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.
Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.
Four and six tenths can be written as 4.6, and six and eight tenths can be written as 6.8. To find their sum, we add the two numbers:
4.6 + 6.8 = 11.4
So the sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
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10 is what percentage of 50 
Answer:
20%
Step-by-step explanation:
10 of 50 can be written as:1050To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1001050 × 100100= (10 × 10050) × 1100 = 20100 Therefore, the answer is 20%
