Based on the information given, the width of the rectangle is 9 yards.
The area of a rectangle is gotten as:
= Length × Width
In this situation, the area of a rectangular ice skating is 900 square yards ans the length of the rink is 100 yards.
Therefore, the width of the rectangle will be:
= 900/100
= 9
Therefore, the width is 9 yards.
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#3 is the tough one for me I get it but I don't can you help me and tell me how you got that answer as soon as possible.
Alicia wrote these numbers:2,9,15,21.which of Alicia numbers is not a composite number?
State whether the ratios form a proportion. 1/4 and 2/5 A. yes B. no
When dividing 878 by 31 a student finds a quotient of 28 with a remainder of 11 check the students work and use the check to find the error in the solution
a slug crawls 5.62 meters in 0.4 hours. what is the slugs speed in meters per hour?
At the concession stand medium soda cost $1.25 hot dogs cost $2.50. Natalie's group brought in pizza but is buying the drinks at the concession stand how many medium sodas can Natalie group buy with $20 make a table to show your work
what is the percent of change from 14 inches 26 inches
The percent of change from 14 inches to 26 inches is approximately 85.71 percent, calculated by using the formula for percent of change which is [(change in quantity)/(original quantity)] × 100.
Explanation:To find the percent of change from one value to another, you apply the formula [(change in quantity)/(original quantity)] × 100. In this instance, the original quantity is 14 inches and it changed to 26 inches. Therefore, the change in quantity is 26 - 14 = 12 inches.
Now, substitute these values into the formula: (12/14) × 100 = 85.71% (approximately). This means the change from 14 inches to 26 inches represents an approximately 85.71 percent increase.
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Graph the image of the figure after a dilation with a scale factor of 3/2 centered at (5, −5).
Use the polygon tool to graph the triangle by connecting all its vertices
the coordinates are
(5,-1)
(3,-5)
(-1,-5)
Answer:
The vertices of image are (5,1), (2,-5) and (-4,-5).
Step-by-step explanation:
The vertices of triangle are (5,-1), (3,-5) and (-1,-5).
If a figure dilated by scale factor k centered at (a,b), then
[tex](x,y)\rightarrow (k(x-a)+a,k(y-b)+b)[/tex]
The figure after a dilation with a scale factor of 3/2 centered at (5, −5).
[tex](x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)[/tex]
The coordinates of image are
[tex](5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)[/tex]
[tex](3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)[/tex]
[tex](-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)[/tex]
Therefore vertices of image are (5,1), (2,-5) and (-4,-5).
Three different ways to make 12
Alison raised 10 to the 5th power then she divided this value by 100 what was the quotient?
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]
To find the value of the fraction [tex]\( \frac{1}{2x^3 + 5.2y} \) when \( x = 2 \) and \( y = 3 \)[/tex], we substitute these values into the expression:
[tex]\[ \frac{1}{2(2)^3 + 5.2(3)} \][/tex]
[tex]\[ = \frac{1}{2(8) + 5.2(3)} \][/tex]
[tex]\[ = \frac{1}{16 + 15.6} \][/tex]
[tex]\[ = \frac{1}{31.6} \][/tex]
So, the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]
The probable question maybe:
What is the value of fraction 1 over 2x^3 + 5.2y when x = 2 and y = 3?
What equation is graphed in this figure?
A. y−4=−1/3(x+2)
B. y−3=1/3(x+1)
C. y+2 = −3(x−1)
D. y−5=3(x−1)
The table shows masses of different types of nuts that Nathan buys. He plans to mix the nuts and then separate them into bags. Each bag will have 1.2 kg of nuts in it.
Write how many bags of mixed nuts Nathan can completely fill.
Nathan can completely fill a bag of mixed nuts by calculating the total weight of the nuts, then dividing that total by 1.2 kg, which is the weight of nuts per bag. Any decimal in the result would be rounded down to give the number of full bags.
Explanation:To determine the number of bags of mixed nuts Nathan can completely fill, you first need to calculate the total weight of all the nuts he bought. This is done by adding up the masses of all the different nuts mentioned in the table.
Let's assume that Nathan's total weight of nuts is 'T'. His plan is to fill each bag with 1.2 kg of nuts, thus the number of full bags he can make, denoted as 'B', is the total weight divided by the weight per bag. In other words, B = T / 1.2.
A key fact here is that this calculation will give a decimal if 'T' is not a multiple of 1.2. However, since he cannot create partial bags, you would round down any decimal to get the number of complete bags.
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What is 2688 divided by 16
Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest article says that 1 36 of her salary should be put into a retirement account. If she makes $63,000 a year, how much will she put into her retirement account each month (rounded to the nearest dollar)?
Heather should be saving 1/36th of her annual salary for retirement. Based on her annual salary of $63,000, this amounts to about $1,750 per year or approximately $146 per month.
Explanation:According to the information provided, Heather should be saving 1/36 of her annual salary for retirement. If Heather's annual salary is $63,000, she will need to find 1/36 of this total. In mathematical terms, this can be achieved by dividing $63,000 by 36. After calculating this, we get $1,750 yearly. However, Heather is interested in knowing how much she should save each month.
To find this, we need to take her annual saving of $1750 and divide it by 12 months. When we calculate this, we find that Heather should be saving approximately $146 per month. This is rounded to the nearest dollar. This is a simple and effective way to determine how much of one's salary should be allocated toward retirement savings each month based on a given fraction of that yearly salary.
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the wilsons drove 324 miles in 6 hours. if they drove the same number of miles each hour how many miles did they drive in 1 hour
Of 24 students in class 8 said they have at least 2 siblings which ratio is equivalent to 8/24
The equivalent ratio to 8/24 is 1/3, which can be used to calculate that approximately 33.33% of students have at least 2 siblings. This demonstrates how to convert a ratio to a percentage by setting up a proportion with 100 as the denominator.
Explanation:The ratio 8/24 represents the portion of students in a class who have at least 2 siblings. To find an equivalent ratio, one could simplify the given ratio by dividing both the numerator and the denominator by the same number. In this case, both 8 and 24 are divisible by 8, so dividing both by 8 yields the equivalent ratio 1/3. This ratio can also be used to express the percentage of students with at least 2 siblings. The calculation would be (1/3) * 100 to find the percentage, which gives us approximately 33.33%.
To further illustrate calculating percentages using equivalent fractions, we can take the original ratio (8/24) and set up a proportion with 100 as the denominator. The equation would be:
8/24 = X/100
where X represents the percentage of students. To solve for X, cross-multiply and divide:
(8 * 100) / 24 = 33.33%
This confirms that 33.33% is the percentage of students with at least 2 siblings. It is important to note that simplifying ratios and working with equivalent fractions is a useful skill in understanding data representation in statistics and mathematics.
45/55 expressed as a percentage
Solve the equation. |3 − w| = −2
Two hundred percent (200%) is equivalent to what whole number?
Two hundred percent (200%) is equivalent to whole number 2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
We have the percentage 200%.
Converting percentage to whole number,
200/100,
= 2
2 is equivalent to 200%.
Therefore, 2 is equivalent to 200%.
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I will be giving massive thanks for whoever answers this right. ^0^
- - - (It will seem hard, but it absolutely is not.) - - -
The equation y = 1.6x represents the number of laps Henry can swim over time, where y is the number of laps and x is time in minutes. This table shows the number of laps Larry can swim over time.
How many laps can each boy complete per minute, and who can swim laps at a faster rate? ;)
the length of the the popcorn machine is 3/4 of its height what is the length of the popcorn machin
Without the height of the popcorn machine, the exact length cannot be calculated. The length is three-quarters of the height. If the height were known, the length would be determined by multiplying the height by 3/4.
To determine the length of the popcorn machine, we need to know the height of the machine since the length is expressed as a fraction of the height. Without the height measurement, we cannot calculate a specific length. However, if we were provided with the height (let's call it H), then we could easily find the length by multiplying the height by 3/4:
Length = (3/4) × H
For example, if the height of the popcorn machine were 4 feet, then the length would be calculated as follows:
Length = (3/4) × 4 feet = 3 feet
Therefore, the length of the popcorn machine is three-quarters of whatever its height is.
Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____. (1 point)
2:5
because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 u can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.
~PrinncessAngel~
Happy To Help:D
Answer:2:5
Step-by-step explanation:
Bella is planning to write in her journal some pages will have two journal entries on them and other pages with three journal entries on them if Bello wants to make 18 entries how many different ways can she write them in her Journal
evaluate 950,000+(4.6×10^7)
The pineapple is seven times as heavy as an orange or pineapple also weighs 870 g videos in the orange what is the total weight in grams for the pineapple and orange
A bottle of water costs $1.50. Explain how you would make a graph of four ordered pairs to model the total cost of the water in terms of the number of bottles.
what is -4 4/5 ÷ 4 equal to
The moped traveled 78 miles on 1.2 gallons of gas The moped averaged how many miles per gallon
The average miles per gallon is given by the equation A = 65 miles per gallon
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 average miles per gallon be represented as A
Now , the equation will be
The total distance moped = 78 miles
The amount of gallons of gas for 78 miles = 1.2 gallons
Now , average miles per gallon = total distance moped / amount of gallons of gas for 78 miles
Substituting the values in the equation , we get
The average miles per gallon A = 78 / 1.2
The average miles per gallon A = 65 miles per gallon
Therefore , the value of A is 65 miles per gallon
Hence , the equation is A = 65 miles per gallon
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Write a linear function f with f(-3) = 1 and f(13) = 5
Linear function f with f(-3) = 1 and f(13) = 5 is given by [tex]\rm f(x) = \dfrac{1}{4}x + \dfrac{7}{4}[/tex] and this can be determined by using the given data.
Given :
f(-3) = 1 and f(13) = 5.
The generalised linear function is given by:
f(x) = ax + b --- (1)
Now, it is given that (f(-3) = 1) that means at (x = -3) the above function is equal to 1.
f(-3) = a(-3) + b
1 = -3a + b
b = 1 + 3a ---- (2)
Now, it is also given that (f(13) = 5) that means at (x = 13) the function (f(x) = ax + b) is equal to 5.
f(13) = 13a + b
5 = 13a + b
Now, put the value of 'b' in the above equation.
5 = 13a + 1 + 3a
4 = 16a
[tex]\rm a = \dfrac{1}{4}[/tex]
Now, put the value of 'a' in equation (2).
[tex]b = 1 +3\times \dfrac{1}{4}[/tex]
[tex]b = \dfrac{7}{4}[/tex]
Now, put the value of a and b in equation (1).
[tex]\rm f(x) = \dfrac{1}{4}x + \dfrac{7}{4}[/tex]
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