Find 5/6 of 15. Express your answer in simplest form.
To find 5/6 of 15, you convert the whole number 15 into a fraction (15/1) and then multiply the numerators and denominators. This results in the fraction 75/6 which simplifies to 12.5.
Explanation:The subject of this question is finding 5/6 of 15. This is a simple multiplication problem that involves fractions.
To solve this, you must multiply the fraction with the whole number. The calculation is as follows:
Write the whole number 15 as a fraction, which would be 15/1.Multiply the numerator (top) of each fraction with each other and do the same with the denominators (bottom). This will give you a new fraction.So, (5 * 15) / (6 * 1) equals 75/6.Simplify the result by dividing 75 by 6. The result is 12.5.Learn more about Fractions here:https://brainly.com/question/10354322
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Final answer:
To find 5/6 of 15, multiply 5/6 by 15/1 to get 75/6, which simplifies to 25/2 or 12.5 in decimal form.
Explanation:
To find 5/6 of 15, we can approach the problem in a straightforward manner by multiplying 5/6 by 15. Here are the steps to do this:
First, express the number 15 as a fraction by putting it over 1, so it becomes 15/1.Next, multiply the numerators (top numbers) of the fractions together: 5 times 15 equals 75.Then, multiply the denominators (bottom numbers) of the fractions together: 6 times 1 equals 6.The result of multiplication gives you 75/6.Now, to simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which in this case is 3.75 divided by 3 equals 25, and 6 divided by 3 equals 2.Therefore, the simplified result is 25/2, which is the same as 12.5 when expressed as a decimal.The answer in simplest form is 25/2 or 12.5.
two-fifths of a number is decreased by three.find the value of the expression if the number is twenty five
What is the area of the green triangle?
A) 23 cm2
B) 30 cm2
C) 46 cm2
D) 65 cm2
Answer:
the answer is D
Step-by-step explanation:
Answer:
D.65cm2
Step-by-step explanation:
Area of the rectangle: (13) (10)= 130cm2
Area of the green triangle: 1/2 (130)=65cm2
So yes, your answer is 65cm2. Hope this helps!
larry can buy 2 1/2 pounds of chicken for 10.00 how meany pounds of chicken can he but for 1.00 btw the 2 is on the side of the 1/2
how many fossil kits with 10 samples each have the same number of fossils as 30 fossi; kits with 8 samples each?
Answer:
24 fossil kits
Step-by-step explanation:
30 fossil kits with 8 samples in each of them would have a total of :
[tex]30*8=240[/tex] samples
The other one has 10 samples per kit, so to have 240 samples, the number of fossil kits needed would be:
[tex]\frac{240}{10}=24[/tex] kits
Solve the proportion 15t/5=2t+3/6.
how many 2/3 cup servings are in a 4 cup container of food
Final answer:
To find out how many 2/3 cup servings are in a 4 cup container, divide 4 by 2/3, resulting in 6 servings.
Explanation:
The question is about determining how many 2/3 cup servings are in a 4 cup container of food. To find the answer, you divide the total amount of the container by the serving size. So, you divide 4 cups by 2/3 cup.
Calculation:
1 cup / (2/3 cup) = 3/2 servings
4 cups * (3/2 servings) = 6 servings
Therefore, you can fit 6 servings of 2/3 cup each in a 4 cup container.
the chess club has 50 members. they want to raise $680 for a trip to a competition. The school will give $130. how much must each member pay?
Gino used 3/4 of the nails in a box. He has 16 nails left. How many did he use?
A sail on a sailboat is a triangle with two sides perpendicular and each side is a different length. What are the two terms that could be used to describe the sail?
Base of the Sail is 12 feet and Height of the Sail is 5 feet
What is Right Angle Triangle?A right triangle or right-angled triangle, or more technically an orthogonal triangle, historically known as a rectangled triangle, is a triangle with one right angle (that is, a 90-degree angle) and two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
here, we have,
Solution:
According to the Question,
Let, Base = x and Height = y
x = 7 + y
Using the Pythagorous Theorem
a^2 + b^2 = c^2
Using the above mentioned relation
49 + y^2 + 14y + y^2 = 169
2y^2 + 14y - 120 = 0
Discriminant = 34
y = 5, -12
The length of a sail can not be negative, therefore y = 5
From the equation 1, x = 12
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If 12 eggs cost $2.04 how much with 18 eggs cost
avery had 125 animal stickers. she have 5 animal stickers to each of her 10 friends how many animal stickers did she have left what number sentences did you use to solve
Aaron wants a raise in his salary to $12.00 an hour. His hourly pay right now is $9 an hour. He decides to ask his boss for a 25% raise to get his desired hourly rate. Do you agree? why? or why not? support your written answer by showing your math work
What is 11x15=? I do not know what it is can you help me
A vat of orange juice was 26 pints. If you wanted to pour the vat into 3 glasses with the same amount in each glass, how many pints would be in each glass?
doors for the small cabinets are 11.5 inches long. doors for the large cabinets are 2.3 times as long as the doors for the small cabinets. how many large doors can be cut from a board that is 10 1/2 feet long?
Answer:
The answer to this problem is 2.52.
What decimal is represented by the tick mark labeled M?
Given a value of 'x x 10¹', 'x' represents the value with placeholder zeros removed, and '10¹' denotes the number of placeholder zeros in the measurement. On a logarithmic scale, each tick mark is 10 times the value of the previous mark. The value of 'M' would be determined based on its position on the scale.
Explanation:Without the visual representation of the decimal point or tick mark labelled 'M', it's hard to provide a precise decimal value. However, I will explain generally how to interpret decimal values. Decimal values are represented in various ways, but commonly, they follow the formatting of 'x x 10¹'. In this format, 'x' is the actual value of measurement with placeholder zeros removed, and '10¹' denotes the number of placeholder zeros in the measurement. For example, if x is 8.4 and 10¹4, you would move the decimal point 14 positions to the right, filling in placeholder zeros as you go.
Similarly, in a logarithmic scale with base 10, each mark labels a value that is 10 times the value of the mark before it. For instance, a logarithmic scale would be numbered as 0, 10, 100, 1000, etc. Hence, if 'M' were on a log base 10 scale, its value would depend on its position relative to the other marks on the scale.
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What is a division problem that has a quotient of 8 with a remainder of 11
Your friend invested $500 in his shop to start off, and makes a $20 profit every week afterwards. Find the minimum number of weeks it will take your fried to have a profit of $400
Final answer:
It will take a minimum of 20 weeks for the friend to achieve a profit of $400 from his shop, based on making a $20 profit every week without considering the initial investment.
Explanation:
To find the minimum number of weeks it will take for your friend to have a profit of $400 from his shop, we can set up an equation based on the initial investment and the weekly profit made thereafter. The friend invested $500 initially and made a $20 profit every week. To reach a profit of $400, we first need to understand that the initial investment does not count towards profit. This means all the profit comes from the weekly $20.
Let's denote the number of weeks needed to reach $400 profit as n. The profit can be calculated as $20 times n, which we want to be at least $400. Therefore, we set up the equation 20n = 400. Solving for n, we get n = 400 / 20, which simplifies to n = 20.
Thus, it will take a minimum of 20 weeks for your friend to make a profit of $400 from his shop, assuming no other costs or revenues are affecting the profit.
Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year's to this year?
20 to 25 percent change
Reid ate 1/4 of the pumpkin pie. Vince ate 1/3 of the same pie. how much of the pie was left after Reid and Vince ate their pieces?
josh and Anthony have a lemonade stand.They charge $1 for 2 cups of lemonade.they sell 14 cups each afternoon.is it reasonable to say josh and Anthony earned more than $50 after 3 afternoons?is it reasonable to s
How many thirds are in - 4 2/3
The number of thirds in ( -4 2/3 ) is given by the equation A = -14
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be represented as n
And , the value of n = - 4 2/3
On simplifying the equation , we get
n = ( -12 -2 ) / 3
n = -14/3
Now , the number of thirds in the number n is A = n / ( 1/3 )
Substituting the values in the equation , we get
A = ( -14/3 ) / ( 1/3 )
On simplifying the equation , we get
A = -14
Hence , the equation is A = -14
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Find two positive fractions with a quotient of 5/6. Give the equivalent multiplication sentence.
Sixty people can receive a peice of pizza if 5 pizzas are purchased.How many people can receive a slice of pizza if 7 pizzas are putchased?
How many times can 80 go into 467
I don't understand slope intercept or how to calculate it. Can you simplify it for me being as specific as possible? What do I do?
Which of the following rational numbers is equivalent to a terminating decimal
Two similar vases have heights which are in the ratio 3 : 2.
(a) The volume of the larger vase is 1080 cm cube. Calculate the volume of the smaller vase.
(b) The surface area of the smaller vase is 252cm square. Calculate the surface area of the larger vase.
Answer:
a). Volume of the smaller vase = 320 cm³
b). Surface area of the larger vase = 567 cm²
Step-by-step explanation:
When we calculate the volume of any figure we multiply it's three dimensions either length, width, height or we do the cube of the radius (r×r×r=r³).
In other words volume is a three dimensional figure and surface area is two dimensional.
Therefore, ratio of volumes of two similar structures will be the ratio of cube of one side given.
a). [tex]\frac{V_{1}}{V_{2} }=(\frac{Side 1}{Side2})^{3}[/tex]
[tex]\frac{V_{1}}{V_{2} }=(\frac{3}{2})^{3}[/tex]
[tex]\frac{1080}{V_{2} }=(\frac{3}{2})^{3}[/tex]
[tex]\frac{1080}{V_{2} }=(\frac{27}{8})[/tex]
[tex]27V_{2}=8\times 1080[/tex]
[tex]V_{2}=\frac{8640}{27}[/tex]
[tex]V_{2}=320[/tex] cm³
b). Similarly ratio of the surface area of two vase will be
[tex]\frac{A_{1}}{A_{2} }=(\frac{Side 1}{Side2})^{2}[/tex]
[tex]\frac{A_{1}}{252}=(\frac{3}{2})^{2}[/tex]
[tex]\frac{A_{1}}{252}=(\frac{9}{4})[/tex]
[tex]A_{1}=\frac{9\times 252}{4}[/tex]
[tex]A_{1}=567[/tex] cm²