The price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89. The discount amount is $105, and the sales tax amount is $18.90.
Explanation:To find the price of the dirt bike after the coupon is used, we first need to calculate the amount of the discount. The regular price of the dirt bike is $419.99, and the coupon gives a 25% discount. To find the discount amount, we multiply the regular price by 0.25: $419.99 x 0.25 = $105. Next, subtract the discount from the regular price: $419.99 - $105 = $314.99.
Next, we need to calculate the sales tax. The regular price after the discount is $314.99. The Kentucky tax rate is 6%, which we convert to a decimal by dividing by 100: 6 ÷ 100 = 0.06. To find the amount of sales tax, multiply the regular price after the discount by the sales tax rate: $314.99 x 0.06 = $18.90.
Finally, to find the price of the dirt bike after the coupon and sales tax, add the regular price after the discount and the sales tax: $314.99 + $18.90 = $333.89. Therefore, the price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89.
Is 70mg greater than 12 kg
Line segment YZ was used to translate ABCDE. YZ is 6.2 inches long. What is the length of AA'+BB'+CC'+DD'+EE'?
a number where 3 is worth 1/10 as much and 2 is worth 10 times as much as the number 431, 621
The question pertains to exponential notation in our decimal numbering system, where each place is worth ten times the next right place. It creates a more convenient way to express very large or small numbers. The rules of multiplication in this system involve multiplying the numbers out front and adding the exponents.
Explanation:
The question refers to place value in a number, where we are told how much each digit is worth based on their position. Here, '3' is worth 1/10 as much and '2' is worth 10 times as much as the number 431, 621. The power (exponent) of 10 is equal to the number of places the decimal is shifted to give the digit number.
This is part of exponential notation, which is especially useful for very large and very small numbers. For instance, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be articulated as 3.6 × 10-¹0. It's called powers-of-ten notation because each place in our numbering system is ten times greater than the place on its right.
To compute this, we use a method where we multiply the numbers out front and add the exponents. For instance, (3 × 10⁵) × (2 × 10º) equals 6 × 10⁵. This notation not only simplifies arithmetic but is also compact and convenient.
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The sum of -5, -9, and 10 is _____.
sum is addition
-5 +-9 = -14
-14 + 10 = -4
The next number in the series 2, 5, 11, 20, 32, 47, is:
Which one is it I need help
theater tickets for children cost $5 adult tickets cost $3 more if 2 adults and 2 children buy theater tickets what is the total cost
How to solve 3x+5=-13
what is 4.1363636… as a fraction?
Answer:
x = [tex]\frac{819}{598}[/tex].
Step-by-step explanation:
Given : 4.1363636…
To find : Convert it as fraction .
Solution : We have given 4.1363636…
Let x = 4.1363636…
On multiplying both sides by 100
100 x = 100 * 4.1363636…
100 x = 413 .63636...
We can convert it in term of x
100 x = 409 .5 + 4.1363636...
100 x = 409.5 + x
On subtracting both sides by x
100 x -x = 409.5
99 x = 409. 5
On dividing both sides by 99
x = [tex]\frac{409.5}{99}[/tex].
x = [tex]\frac{4095}{990}[/tex].
On dividing both sides by 5
x = [tex]\frac{819}{598}[/tex].
Therefore, x = [tex]\frac{819}{598}[/tex].
In the formula C=prn, p stand for ____?
A. Percent
B. Price Per Item
C. Promotion
D. Period
Answer: p is price per item, the correct option is B
Step-by-step explanation:
Here we may have the comission equation, wich stands for how much a part (the store, the employe, etc) gets for every sale.
comission = price*number of sales*percent of comission
C = p*r*n
where p is the price, r is the rate of comission (a number smaller than one) and n is the number of items sold.
Then, we have that p = price per item.
suppose 90 out of 120 people said they like to work out and 5 out of every 18 of the people who like to work out have a gym membership. At the same rate in a group of 216 people predict how many you would expect to have a gym membership.
How to solve this problem
what is the square root of the product 220
What is 10 to the power of 100?
A restaurant buys eggs in cases of 15 dozen eggs per case. The owner of the restaurant specializes in omelettes. He ordered three cases of eggs per day just for omelettes if H only contains four eggs, how many hours can be made from three cases of eggs?
135 omelettes can be made from three cases of eggs.
To find out how many omelettes can be made from three cases of eggs, we first need to calculate the total number of eggs in three cases.
Each case contains 15 dozen eggs, and since a dozen is 12 eggs, one case contains [tex]\(15 \times 12 = 180\)[/tex] eggs.
So, three cases would contain [tex]\(3 \times 180 = 540\)[/tex] eggs.
Now, if each omelette requires four eggs, we can find out how many omelettes can be made:
[tex]\[ \text{Number of omelettes} = \frac{\text{Total number of eggs}}{\text{Number of eggs per omelette}} \][/tex]
[tex]\[ \text{Number of omelettes} = \frac{540}{4} \][/tex]
[tex]\[ \text{Number of omelettes} = 135 \][/tex]
In preparation for the Maths festival you are asked to work out how much water the drinks area will need for the event. The arena buys drinks in 200 litre containers. Each person is expected to drink 0.5 litre of water. The arena expects approximately 7,000 people to attend. Estimate how many containers of water the arena will need to buy for the event?
Answer:
Its 18 containers
Step-by-step explanation:
A mail truck traveled 82 miles in 4 1/2 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the mail truck? Enter your answer in the box
Tim Worker decided to purchase a new DVD player on an installment loan. The DVD player was $365.00. Tim agreed to pay $36.00 per month for 12 months. What is the finance charge in dollars?
An acute triangle has sides measuring 10cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle?
Answer:
The range of possible values for the length of the third side of the triangle is [tex]\( 6 < x < 26 \)[/tex], meaning that the third side must be greater than 6 cm and less than 26 cm.
Explanation:
To determine the range of possible values for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the length of the third side as [tex]\( x \)[/tex]. According to the triangle inequality theorem:
1. The sum of the lengths of the two given sides (10 cm and 16 cm) must be greater than the length of the third side:
[tex]\[ 10 + 16 > x \][/tex]
[tex]\[ 26 > x \][/tex]
2. The length of the third side must be greater than the difference of the lengths of the two given sides:
[tex]\[ 16 - 10 < x \][/tex]
[tex]\[ 6 < x \][/tex]
Combining both inequalities, we have:
[tex]\[ 6 < x < 26 \][/tex]
What is one times one times four times twelve divided by three divided by two times nine minus twelve divided by twelve times one hundred twenty-three million, four hundred fifty-six thousand, seven hundred eighty-nine?
Answer:
617,283,945.
Step-by-step explanation:
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jokez
One leg of a right triangle has a length of 24 yards.The hypotenuse has a length of 74 yards.The other leg has a length of 10x yards.What is the value of x?
Show that each number is a rational number by expressing it as a ratio of two integers
A. 27
B. .075
C. 4 2/3
D. -9
E. 0.43
F. -18
Each number provided is a rational number, as they can all be expressed as a ratio of two integers. Therefore, they all qualify as rational numbers.
Explanation:In Mathematics, a rational number is a number that can be expressed as a ratio of two integers. An integer is a whole number that can be positive, negative, or zero. Let's express each number given as a ratio of two integers:
A. 27 can be expressed as 27/1. B. 0.075 can be expressed as 75/1000. C. 4 2/3 can be expressed as 14/3 (since 4 2/3 equals to 4 + 2/3 = 12/3 + 2/3 = 14/3). D. -9 can be expressed as -9/1. E. 0.43 can be expressed as 43/100. F. -18 can be expressed as -18/1.
As you can see, each of these numbers can be written as a ratio of two integers, thus they are all rational numbers.
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Each given number (27, 0.075, 4 2/3, -9, 0.43, and -18) is shown to be a rational number by expressing it as a ratio of two integers, such as 27/1, 3/40, 14/3, -9/1, 43/100, and -18/1, respectively.
To show that a number is a rational number, we must express it as a ratio of two integers.
27 can be expressed as 27/1 which is the ratio of two integers (27 and 1).0.075 can be written as 75/1000 which simplifies to 3/40 after dividing both the numerator and the denominator by 25.4 2/3 is 4 + 2/3 and can be written as 14/3 which is a combination of an integer and a fraction representing the ratio of two integers (14 and 3).-9 can be written as -9/1 which shows the number -9 as a ratio of two integers (-9 and 1).0.43 is equivalent to 43/100 and therefore can be expressed as the ratio of two integers (43 and 100).-18 can be written as -18/1 which is a ratio of two integers (-18 and 1).how can you use the transformation to prove two triangles are congruent
Sam is 3 years younger than Marco. Marco is 15 years old. How old is Sam? Let X represent Sam's age (there are 2 correct answers)
x + 15 = 3
x + 3 = 15
15 divided by x = 3
3 x = 15 15 - x = 3
thanks
Correct options are:
X+3=15
and 15-X=3
Step-by-step explanation:Sam is 3 years younger than Marco.
Let X represent Sam's age
Then, Marco's age=X+3
Marco is 15 years old.
i.e. X+3=15
or 15-X=3
Hence, Correct options are:
X+3=15
and 15-X=3
The students at Monroe jr high sponsored a canned food drive the seventh grade class collected 129 percent of its canned food goal about how many canned foods did the seventh graders collect if their goal was 200 cans
Water weighs 8.34 pounds per gallon. How many ounces per gallon is the weight of the water
3/2 = 9/ 10 k Ughhh. Help???
I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numbers be?
shane said that he could. write related multiplication and addition6+4+3 does shane. statement make since
Eric has a dog walking business he charges $13 per dog he walks and $6 for the water he buys for the dogs if he made $97 on Monday write an equation to find the numbers of dogs he walked on Monday