The given equation, 3.1x(2x9)=(3.1x2)x9, demonstrates the Associative Property of Multiplication. The property means that the way numbers are grouped in multiplication does not change the result.
Explanation:The multiplication property shown in the equation 3.1x(2x9)=(3.1x2)x9 is referred to as the Associative Property of Multiplication. This property states that when three or more numbers are multiplied, the product does not depend on how the numbers are grouped. Therefore, (a x b) x c equals a x (b x c).
In the given equation, we can see this property applied. 3.1x(2x9) can be rearranged as (3.1x2)x9 and the results of both expressions will be the same. This demonstrates that the grouping does not affect the result of the multiplication.
Learn more about Associative Property of Multiplication here:https://brainly.com/question/28762041
#SPJ2
If you need to cut 5 pieces of glass from a 14 feet length, how long should each piece be?
14 / 5 = 2.8 feet each
2.8 feet = 2 feet 9.6 inches
2 feet 9 3/5 inches
Elsa is on the swim team. Each week she swims a total of 2000 meters. How many kilometers does she swim each week?
Write a number between 1 and 50 that has at least 8 factors. B.) Write the factors.
Answer:
24 has 8 factors with 1,2,3,4,6,8,12,and 24
Step-by-step explanation:
In Seattle, the tax on a property assessed at $570,000 is $12,540. If tax rates are proportional in this city, how much would the tax be on a property assessed at $460,000?
Final answer:
To find the property tax on a $460,000 property, first, find the tax rate by dividing the known tax of $12,540 by the assessed value of $570,000 to get approximately 0.022. Then multiply $460,000 by this tax rate to get an estimated tax of $10,120.
Explanation:
To calculate the property tax on a property assessed at $460,000 in Seattle, given the tax rate is proportional, we can use the tax information from another property as a reference. In this case, we know a property assessed at $570,000 has a tax of $12,540. This allows us to find the tax rate by dividing the tax amount by the assessed value of the property.
Step 1: Determine the tax rate.
Tax Rate = Tax / Assessed Value
Tax Rate = $12,540 / $570,000
Tax Rate ≈ 0.022
Step 2: Calculate the tax for the property assessed at $460,000 using the tax rate.
Tax = Assessed Value × Tax Rate
Tax = $460,000 × 0.022
Tax ≈ $10,120
Thus, the property tax on a property assessed at $460,000 would be approximately $10,120, assuming the tax rates are indeed proportional.
Consider the expression 3 * 2 ^ 2 < 16 + 5 andalso 100 / 10 * 2 > 15 - 3. which operation is performed second
(3x6÷2)v+10=3²v+9 (Need work)
The student's equation simplifies to 9v + 10 = 9v + 9. Upon further simplification, it becomes apparent that the equation is a contradiction and has no solution.
Explanation:The student is asking about the solution to the equation (3x6÷2)v+10=3²v+9. The first step in solving this equation is to simplify the terms. We start by simplifying the multiplication and division in the first part of the equation (3x6÷2), which equals 9 since 3 times 6 is 18 and 18 divided by 2 is 9. Therefore, the equation simplifies to 9v + 10 = 3²v + 9. Next, we simplify 3², which is 3 raised to the power of 2, meaning 3 times itself, which results in 9. The equation now reads 9v + 10 = 9v + 9.
With the equation simplified, we notice that the terms containing v are equal on both sides of the equation. This indicates that we may be dealing with an identity or a contradiction depending on the constants. Subtracting 9v from both sides yields 10 = 9, which is clearly not true. Therefore, we conclude that the equation is a contradiction, and there is no solution for v that would make the equation true.
Final answer:
To solve the equation (3x6÷2)v+10=3²v+9, we need to follow the order of operations and solve for the variable v. However, the equation is inconsistent and has no solution.
Explanation:
To solve the equation (3x6÷2)v+10=3²v+9, we need to follow the order of operations and solve for the variable v. Let's break it down step by step:
Start by performing the division 3x6÷2 = 18÷2 = 9.
Now rewrite the equation as 9v+10=9v+9.
Subtract 9v from both sides of the equation to isolate the constants: 10 = 9.
Since 10 is not equal to 9, the equation is inconsistent and has no solution.
Therefore, there is no value of v that satisfies the equation.
Simplify 3(4x + 6) - 9x.
-15x + 18
3x + 18
3x + 6
12x + 18 - 9x
The expression 3(4x + 6) - 9x simplifies to 3x + 18 by distributing the 3 and then combining like terms.
To simplify the expression 3(4x + 6) - 9x, we need to follow the steps of distribution and then combine like terms.
First, distribute the 3 into the parentheses: 3 * 4x is 12x and 3 * 6 is 18, giving us 12x + 18.Next, subtract the 9x from 12x: 12x - 9x equals 3x.Combine the result with the 18, to end up with the simplified expression 3x + 18.Therefore, the simplified form of 3(4x + 6) - 9x is 3x + 18.
Tommy can exchange 8 euros for 11 dollars.
At this rate, how many dollars can Tommy get with 12 euros?
Tommy would be able to get $16.50.
The first step would be to find out the number of dollars you need to exchange for a single Euro.
If 8 Euros go for $11, one Euro would be:
= Amount of dollars / Amount of Euros
= 11 / 8
= $1.375 per Euro
For 12 Euros therefore, the number of dollars Tommy would get is:
= Amount of Euros x conversion factor
= 1.375 x 12
= $16.50
In conclusion, Tommy would get $16.50.
Find out more at https://brainly.com/question/7418508.
a ramp has a height of 3 foot and a base of 12 feet what is the angle of elevation
Travis wants to collect 20% more than Jessica. Robin wants to collect 35% more than Travis. If Travis collects $43, how much was collected in all?
A Chinese restaurant offers buffet takeout for $4.99 per pound. How much does your takeout meal cost?
Answer:
1.99
Step-by-step explanation:
A meteor crater is 4100 feet in diameter. Approximate the distance around the crater. Use 3.14 for piπ
identify the number in the hundreth(1/100)position 15.386
Clara's suitcase weighs 58 1/4 pounds, but the airline's weight limit for suitcases is 50 pounds. How much weight does she need to remove from her suitcase?
Clara needs to remove 8 1/4 pounds from her suitcase to meet the airline's weight limit.
To find out how much weight Clara needs to remove from her suitcase, we subtract the airline's weight limit from the weight of her suitcase.
First, let's convert 58 1/4 pounds to a proper fraction:
[tex]\[ 58 \frac{1}{4} = \frac{58 \times 4 + 1}{4} = \frac{232 + 1}{4} = \frac{233}{4} \][/tex]
Now, let's subtract the airline's weight limit from Clara's suitcase weight:
[tex]\[ \text{Excess weight} = \frac{233}{4} - 50 \][/tex]
To subtract fractions, we need a common denominator:
[tex]\[ \text{Excess weight} = \frac{233}{4} - \frac{200}{4} \][/tex]
[tex]\[ \text{Excess weight} = \frac{233 - 200}{4} \][/tex]
[tex]\[ \text{Excess weight} = \frac{33}{4} \][/tex]
Now, let's convert this back to a mixed number:
[tex]\[ \text{Excess weight} = 8 \frac{1}{4} \text{ pounds} \][/tex]
So, Clara needs to remove 8 1/4 pounds from her suitcase to meet the airline's weight limit.
HELP PLSSSSS Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a way that CD = 2DE.
The radius of the inscribed circle is____
units, and the radius of the circumscribed circle is___
units.
Answer: For clarification, the answer is 2.9 for the first one and the second is 5.8
Step-by-step explanation: They are correct for PLATO users I got them right.
find the next three terms in the geometric sequence: 2, 4, 8, 16
When creating a bar graph to represent data, the researcher used a scale that was too small. The outcome was a graph that appeared to show very little variation. This is a classic example of an error in which phase of inferential statistics? A.data gathering B.data organization C.data analysis D.probability-based inference
The error in using a scale that is too small on a bar graph falls under the data organization phase. This phase involves selecting a scale that accurately represents data without distorting trends or variations.
Explanation:When creating a bar graph to represent data, if the researcher uses a scale that is too small, resulting in a graph that shows very little variation, it is likely an error in the data organization phase. This is because choosing an appropriate scale is a key part of the process of organizing data for visualization. A scale that's too small can compress the data too much and fail to show important differences between data points, while a scale that's too large can exaggerate these differences. In a well-organized graph, the scale should be such that it both accurately represents all the data and makes it easy to identify trends and variations.
It is important to be skeptical of graphs and understand that data organization can have a significant impact on how the information is perceived. A graph is a single visual perspective, and therefore, it is crucial that the scale used does not distort the underlying relationship it is intended to represent. When organizing data in a graph, it's essential to select a scale that neither overshadows nor exaggerates the significant figures and trends of the data points.
Using a scale that is too small in a bar graph is an error in the data organization phase of inferential statistics.
Explanation:The error of using a scale that is too small and resulting in a bar graph that shows very little variation is a classic example of an error in data representation, which falls under the phase of in inferential statistics.
Help Yaya ASAP Please
Jessica and Marcus each earn the same amount of money every week mowing lawns. Jessica saves 50% of her money and Marcus saves 1/4 of his money.
Which statement is correct?
A. Marcus saves 4/5 as much money as Jessica.
B. Jessica saves 4/5 as much money as Marcus.
C. Marcus saves twice as much money as Jessica.
D. Jessica saves twice as much money as Marcus.
write an expression that shows how to multiply 4 x 362 using place value and expanded form.
To multiply 4 x 362 using place value and expanded form, first expand 362 to (300 + 60 + 2). Then multiply 4 with each value, resulting in 1200, 240, and 8. The sum of these results gives the final answer, 1448.
Explanation:The multiplication expression of 4 x 362 using expanded form and place value can be represented as follows:
Firstly, write 362 in its expanded form. You can express it as (300 + 60 + 2).Then, multiply 4 by each number of the expanded form of 362. The operation would be: 4 x 300 = 1200, 4 x 60 = 240, and 4 x 2 = 8.Finally, add all the resulting numbers together to get the final answer. The operation would be 1200 + 240 + 8 = 1448.
So, 4 multiplied by 362 using place value and expanded form equals to 1448.
Learn more about Expanded Form Multiplication here:https://brainly.com/question/29151422
#SPJ2
Which symbol makes the following statement true? 413,115 431,511
A rancher has 50,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. what is the maximum area of each pasture?
Final answer:
To find the maximum area of each pasture, we can create a rectangular field and divide it into four equal pastures. By using the given linear footage of fencing, we can find the dimensions of the rectangular field and calculate the area for each pasture.
Explanation:
To find the maximum area of each pasture, we can start by creating a rectangular field using the given 50,000 linear feet of fencing. Let's consider the length of the rectangular field as 'x' and the width as 'y', with x being the longer side.
The perimeter of the rectangular field is given by 2x + y = 50,000. Since we want to divide the field into four equal pastures, we can divide the rectangular field into four equal widths, with each width being y/4.
Therefore, the area of each pasture is x * (y/4) = (x*y)/4.
To find the maximum area, we can substitute 2x + y = 50,000 into the formula for the area of each pasture. Solving for y in terms of x gives us y = 50,000 - 2x.
Substituting this value of y into the formula for the area, we get A = x * ((50,000 - 2x)/4).
To maximize the area, we can differentiate the area formula with respect to x and set it equal to zero. Solving this equation will give us the value of x that maximizes the area. Once we have that, we can substitute it back into the area formula to find the maximum area of each pasture.
A summer baseball league is creating teams of 25 players each from a group of 265 players. How many players will be left over after the teams of 25 players are created?
A. 10
B. 11
C. 15
D. 250
If the maximum of 63 years is accidentally recorded as 630 years, how will this affect the mean?
Which colonial power's policy was based on assimilation of native peoples?
Maggie is having the flooring replaced in her kitchen, living room, and master bedroom. The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40. The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00. The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80. Place the flooring type in order from the least amount to the greatest amount of cost to install per-square-foot.
Solve The Following Question:
5/13t = -9
5/13t=-9
to find t divide both sides by 5/13
t = -9 / 5/13=
-117 /5 =-23.4
t = -23.4
3.24 repeating as a mixed number in simplest form
A repeating mixed number is a mixed fraction, which after converted to decimal; the numbers after the decimal point repeat without end.
3.23 as a repeating mixed number is [tex]3\frac{23}{99}[/tex]
Given that
[tex]Number = 3.24[/tex]
First, we represent as a fraction
[tex]Number = \frac{324}{100}[/tex]
To represent the number as a repeating mixed number, we simply subtract 1 from the numerator
[tex]Number = \frac{324}{100 - 1}[/tex]
[tex]Number = \frac{324}{99}[/tex]
Represent as a mixed number
[tex]Number = 3\frac{23}{99}[/tex]
Hence, 1.12 as a repeating mixed number is [tex]3\frac{23}{99}[/tex]
Read more about repeating mixed numbers at:
https://brainly.com/question/4693336
What is the greatest possible product of a 2 digit number and a 1 digit number?
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
How much time passes until the second bus catches up with the first bus?
40t = 60(t-1)
distribute the right side
40t = 60t-60
subtract 60t from each side
-20t =-60
divide both sides by -20
t = -60 / -20 = 3
3 hours
Dave rented a limousine for his wife's birthday. The hourly rate is $60. They used the limousine for 4 hours, plus Dave gave the driver a 10% tip. How much did he spend in total for the hourly charges plus tip?