The coat would cost $0.60 more in Delaware County than in Fairfield County.
To determine how much more the coat would cost in Delaware County compared to Fairfield County, we need to calculate the total cost of the coat in both counties, including their respective sales tax rates, and then find the difference between these two amounts.
First, let's calculate the total cost of the coat in Delaware County:
1. Original price of the coat: $80
2. Sales tax rate in Delaware County: 7.25%
The sales tax amount in Delaware County is calculated as:
[tex]\[\text{Sales tax} = \text{Original price} \times \left(\frac{\text{Sales tax rate}}{100}\right) = 80 \times \left(\frac{7.25}{100}\right) = 80 \times 0.0725 = 5.80\][/tex]
So, the total cost in Delaware County is:[tex]\[\text{Total cost} = \text{Original price} + \text{Sales tax} = 80 + 5.80 = 85.80\][/tex]
The sales tax amount in Fairfield County is calculated as:
[tex]\[\text{Sales tax} = \text{Original price} \times \left(\frac{\text{Sales tax rate}}{100}\right) = 80 \times \left(\frac{6.5}{100}\right) = 80 \times 0.065 = 5.20\][/tex]
So, the total cost in Fairfield County is:
[tex]\[\text{Total cost} = \text{Original price} + \text{Sales tax} = 80 + 5.20 = 85.20\][/tex]
Now, let's find the difference in total costs between Delaware County and Fairfield County:
[tex]\[\text{Difference} = \text{Total cost in Delaware County} - \text{Total cost in Fairfield County} = 85.80 - 85.20 = 0.60\][/tex]
a digital scale measures weight to the nearest 0.2 pound. which measurement shows an appropriate level of precison for the scale?
A. 130.4 pounds
B. 125 pounds
C.120 pounds
D. 124.75 pounds
Answer:
130.4 pounds
Step-by-step explanation:
The digital scale is measuring weight to the nearest 0.2 pounds, so basically the digital scale would show you the weight of an object that is a multiple of 0.2.
Talking about precision, precision tells us how accurate is the measured value or how close is the measured value to the actual value.
Here, scale is measuring to the nearest 0.2 pounds, so out of the given values the measurement that shows an appropriate level of precision for the scale is 130.4 pounds.
A gram of gasoline produces 45.0kj of energy when burned. gasoline has a density of 0.77/gml . how would you calculate the amount of energy produced by burning 46.l of gasoline? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the formula: Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram). Plug in the values and include the correct unit symbols (g/mL, mL, kJ) in your answer.
Explanation:To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the following formula:
Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram)
Plugging in the values:
Amount of energy = (0.77 g/mL) x (46.1 mL) x (45.0 kJ/g)
This gives us the math expression:
Amount of energy = 0.77 x 46.1 x 45.0 kJ
Make sure to include the correct unit symbols (g/mL, mL, kJ) in your answer.
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Estimate the value of the expression by rounding each number to the given place value. 68 – 29; tens A. 30 B. 35 C. 40 D. 50
60 is ? Times as many as 10
what is that equation written in standard form
since the exponent is 4, move the decimal place 4 places to the right
so 2.13786 x 10^4 = 21378.6
Pete owes his brother 35 dollars from 5 weeks of borrowing money what is the mean Pete borrowed each week
(-1.15)x3.2=
Please explain how you got the answer step by step
The multiplications between (-1.15) and 3.2 will be negative of 3.68.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE need to find the multiplications between (-1.15) and 3.2
We now that when multiplying, when the signs are different, the result will be negative.
(-1.15) x 3.2 = -3.68
Therefore, the multiplications between (-1.15) and 3.2 will be negative of 3.68.
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What is between 1/3 and 87/100 on a number line
A number is multiplied by 4, and then 6 is added to the product. The result is 18. What is the number? I already know that the answer is 3 but I have to check my answer. How do I check it?
The student can check the accuracy of their answer by substitifying their solution back into the equation. If both sides of the equation are equal after the substitution, then the solution is correct and 4 * 3 + 6 does in fact equal 18 in this case.
Explanation:The subject of your question is to solve a simple equation and you want to check your answer. The equation you're talking about can be expressed as 4x + 6 = 18, where x is the number you're trying to find. You said you believe x = 3, and we can check that by substituting 3 for x in the equation and seeing if both sides match.
On the left side of the equation, 4x + 6 would become 4 * 3 + 6, which equals 12 + 6 = 18. The right side of the equation is also 18, so your answer of x = 3 is correct!
Substituting your answer back into the equation is a solid strategy to check your answers in mathematics.
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Write the number that has 1 hundred 14 tens 6 ones
a garden hose faucet is able to fill a gallon container in 20 seconds a homeowner accidentally left his hose on for a full day how many gallons per day can a hose release
Ellen has 60 feet of craft wire she plans to cut it into pieces that are 3 meters long what is the greatest number of 3 meter prices Ellen can cut
What's the answer to this question ? I've been really confused for the past 20 minutes
the hint tells you s is sqrt(a)
the question tells you a = 570025
so side = sqrt(570025)
plug that into your calculator to get:
755 feet
74 – (25 + d) + ¾ d = 44 please show your work. Solve for d
Answer is: d=20.
Hope it helps
Suzi starts her hike at -225 feet below sea level. When she reaches the end of the hike, she is still below sea level at -127 feet. What was the change on elevation from the beggining of Suzi's hike to the end of the hike?
The change in elevation from the beginning of Suzi's hike to the end is 98 feet, as calculated by the difference in starting and ending elevations: (-127) - (-225) = 98 feet.
To calculate the elevation change, we subtract the elevation at the start of the hike from the elevation at the end of the hike. Suzi started at -225 feet below sea level and ended at -127 feet below sea level.
To find the change in elevation, we perform the following calculation:
Write down the starting elevation: -225 feet.
Write down the ending elevation: -127 feet.
Subtract the starting elevation from the ending elevation: (-127) - (-225).
Simplify the equation by adding: -127 + 225 = 98 feet.
Therefore, the change in elevation from the beginning of Suzi's hike to the end is 98 feet. The positive result indicates an increase in elevation, even though Suzi is still below sea level at the end of her hike.
55 miles per hour write a algebric expression to show how far the car will travel in a certain number of hours
The algebraic expression for the scenario is 'd = 55t', where 55 (miles per hour) is the constant, and 't', which represents time in hours, is the variable. This expression is used to calculate the distance traveled by a car.
Explanation:The subject of your question is algebra, particularly involving the concept of linear equations. In this scenario, you're looking to determine how far a car will travel given a certain speed and number of hours. Your constant in this case will be the speed of the car, which is 55 miles per hour. The variable is the time in hours, which we can denote by 't'. Hence, the algebraic expression representing this scenario would be d = 55t where 'd' represents the distance traveled by the car. The distance is calculated by multiplying the constant speed by the variable time.
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The complete question is here:
A car is traveling at a speed of 55 miles per hour. You want to write an algebraic expression to show how far the car will travel in a certain number of hours. What will be your constant? your variable?
Round 43.786 to the nearest hundredth
the larger of two numbers is twice the smaller number. if 12 is subtracted from the larger number, the result is 7 more than the smaller number. find the numbers
Solve for x
3j = 4kx + 7mx + n
Answer:
[tex]x=\frac{3j-n}{4k+7m}[/tex]
Step-by-step explanation:
We have the expression [tex]3j=4kx+7mx+n[/tex] and we have to solve for x, this means that we have to clear x.
Then first we are going to subtract n in both sides of the equation,
[tex]3j=4kx+7mx+n\\3j-n=4kx+7mx+n-n\\3j-n=4kx+7mx[/tex]
Now in the right side we can apply common factor x.
[tex]3j-n=(4k)x+(7m)x\\3j-n=x(4k+7m)[/tex]
For the last step divide both sides of the equation in (4k+7m),
[tex]3j-n=x(4k+7m)\\\\\frac{3j-n}{4k+7m}=\frac{x(4k+7m)}{(4k+7m)} \\\\\frac{3j-n}{4k+7m}=x[/tex]
Then,
[tex]x=\frac{3j-n}{4k+7m}[/tex]
Circle the ways to write the number shown by the model 4 tens 6ones 40+6 64 6 tens 4 ones 60+4ones 46
Applying Place values, the ways to write the number shown by the model are 40+6, 64, and 6 tens 4 ones.
Explanation:40+6: In this representation, the tens digit (40) is added to the ones digit (6), resulting in the number 46.64: This representation directly shows the number with a tens digit of 6 and ones digit of 4.6 tens 4 ones: This representation specifies the number of tens and ones, with 6 tens and 4 ones making up the number 64.Learn more about Place values and Addition here:
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Are my answers correct???
What is 77,098 rounded to the nearest thousand
eighteen and nine tenths is 2.6 less than a number. find the number.
If 3h = 12, then what is the value of 4(10 – h)?
Solve: x − 2/3 = 6 1/3
Which gives the solution of this inequality? 7m − 2 ≥ 61 options
A. m < 9
B. m > 9
C. m ≥ 9
D. m ≥ 8.4
E. m > 8.4
Please help me out here
Given that 41 to the second power= 1681 find the square of 410
The square of any number is simply that number multiplied by itself. Thus the square of 410 is 410 multiplied by 410, which equals 168100.
Explanation:The concept being asked here is the squaring of exponentials. 'To square' a number encompasses multiplying that number by itself. Hence 41 to the second power, or 41 squared, equals 1681 as the question states. By the same logic, to find the square of 410, we would multiply 410 by itself. That calculation will give the result as 168100. The square of 410 is 410 multiplied by 410, which equals 168100. Thus, the square of 410 equals 168,100.
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the product of x and 5.2 is 104. Find the value of x
If product of x and 5.2 is 104 then the value of x is 20.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that product of x and 5.2 is 104
We have to find the value of x
product of x and 5.2 is 104 can be mathematically written as below
5.2x=104
To find value of x
divide both sides by 5.2
x=104/5.2
x=20
Hence, if product of x and 5.2 is 104 then the value of x is 20.
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Which number sentences show how to solve the problem? Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether? A. 8 + 35 = 43 and 5 + 35 = 40 and 43 + 40 = 83 balloons B. 5 + 8 = 13 and 13 + 35 = 48 ballons C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons D. 5 x 8 = 40 and 40 x 35 = 1400 balloons
Answer:
C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons
Step-by-step explanation:
C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons