The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.
Explanation:The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,
First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.
Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $
3.57937
.
So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).
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the selling price for a refrigerator is 584 if the mark up is 25% of the dealers cost, what is the dealers cost of the refrigerator?
To calculate the dealer's cost of a refrigerator, you can use the selling price and the mark-up percentage by following a step-by-step process.
Mark Up Calculation:
Let the dealer's cost be x.Mark up = 0.25x.Selling price = Dealer's cost + Mark up = x + 0.25x = 1.25x = $584.Solve for x: 1.25x = 584, x = $467.20.Therefore, the dealer's cost of the refrigerator is $467.20.
start at 125. create a pattern that subtracts 6 from each number. stop when you have 5 numbers.
The pattern is as follows:
125 119 113 107 101 95
Step-by-step explanation:We are asked to create a pattern such that each digit is 6 less than the previous digit of the pattern.
Now, we have to start with 125.
The next term will be:125-6=119
The next term of the pattern will be:119-6=113
The next term will be:113-6=107
The next term will be:107-6=101
The next will be:101-6=95
what are the answers??
How to rewrite 3x4-1+2
how do you write 10 less than half a number as 27 as an equation
Let
x--------> the number
we know that
The expression is equal to
[tex]\frac{x}{2} -10=27\\ \\\frac{x}{2}=27+10\\ \\\frac{x}{2}=37\\ \\x=74[/tex]
therefore
the answer is
[tex]\frac{x}{2} -10=27[/tex]
Mira's kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter.
The nearest liters is 103 L(liters).
While rounding a figure to the nearest whole number, the figure closest to the decimal point is considered.
If the figure that is closest to the decimal point is more than 5, it would be taken as one and added to the first unit of the figures which is 3.
But if the figure is less than 1, it's taken as Zero.
From the liters given, 4 which is closest to the decimal point is less than 5. This is therefore taken as 0
Therefore, the nearest liters is 103 L(liters).
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3. List all measurements that you can make with the 10-oz and 6-ov glasses. You can combine both cups for this process. If the measurements were not included in your process to solve, prove how you can make specific measurements. 4. Make observations about your findings Is there anything that you notice? Make a conjecture. Do you think what you found will work in all cases (for example if you were to use odd measurements rather than even)? 5. Vary the problem in an attempt to prove your conjecture. You can vary the problem by changing the target amount to find or changing the size of the glasses. Since you have already found all possible measurements for the 10-oz and 6-oz glass, your task is to change the glass sizes.
The ways that can be used to illustrate the measurement will be:
Use an object as a reference pointChoose an appropriate vessel to pour your liquid into. Place your vessel on a flat surface and bring yourself down to eye level.How to illustrate the information?It should be noted that the measurements that one can make with the 10-oz and 6-ov glasses include measuring cups of water, etc.
It is important to have some visual aids as a reference for the correct amount. It is important to clearly see the amount being poured as the fluid is slowly poured into the vessel.
In mathematics, the conjecture is a conclusion or a proposition which is proffered on a tentative basis without proof.
In conclusion, use an object as a reference point, choose an appropriate vessel to pour your liquid into, and then place the vessel on a flat surface and bring yourself down to eye level.
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An angle has a measure of 47 degrees. Find the measure of its supplement
You would like to make orange juice for the Queen of Canada but her tastes are very particular. She requires 400mL of orange juice, but it has to be the correct concentration, which is 23% concentrate. You have some 250mL cans of Windsor Delight OJ concentrate, which asks for 3 cans of water to every can of concentrate. You also have 250mL cans of Budget Brit OJ concentrate, which requires 4 cans of water for every can of concentrate. How much Windsor Delight mixture, and how much Budget Brit mixture will go into every 400mL of Her Majesty's Royal
To create 400mL of orange juice with a 23% concentrate for the Queen of Canada, use a specific combination of Windsor Delight and Budget Brit OJ concentrates.
To make 400mL of orange juice with a 23% concentrate for the Queen of Canada:
Use 200mL of Windsor Delight OJ concentrate (which needs 3 cans of water per can).Use 200mL of Budget Brit OJ concentrate (which requires 4 cans of water per can).This combination meets the required concentration of 23% for the 400mL of orange juice.A butter block weighs 200g the dimension of the block is 8cm by 5cm by 6cm what is the density to 3 decimal places?
Density of butter block is 0.833 g/cm³
Given that;Weight of butter block = 200 g
Dimension of Butter block = 8cm by 5 cm by 6 cm
Find:Density of butter block
Computation:Density of butter block = Weight of butter block / Volume of butter block
Weight of butter block
Density of butter block = 200 / [(8)(5)(6)]
Density of butter block = 200 / 240
Density of butter block = 0.833 g/cm³
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Suppose the leftmost digits of two numbers are 8 and 3 can u tell which number is greater? Explain
Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is offering a $10 off coupon. The sales tax is 6% on either purchase. If Shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over?
Why do you subtract exponents when dividing powers with the same base?
Find the remaining trigonometric ratios of θ based on the given information.
csc θ = 2 and cos θ is positive
To find the remaining trigonometric ratios of θ given that csc θ = 2 and cos θ is positive, we calculate sin θ, cos θ, tan θ, cot θ, and sec θ.
Explanation:To find the remaining trigonometric ratios of θ, we are given that csc θ = 2 and cos θ is positive. Based on this information, we can determine the values of the other trigonometric ratios.
The reciprocal of sin θ is csc θ, so we can find sin θ by taking the reciprocal of 2. Therefore, sin θ = 1/2.
Since cos θ is positive and sin θ is positive (since 1/2 is positive), we know that θ is in the first quadrant. In the first quadrant, all the trigonometric ratios are positive. Therefore, cos θ = √(1 - sin²θ) = √(1 - (1/2)²) = √(1 - 1/4) = √(3/4) = √3/2.
Finally, we can find the remaining trigonometric ratios:
tan θ = sin θ / cos θ = (1/2) / (√3/2) = 1/√3 = √3/3cot θ = 1/tan θ = √3/3sec θ = 1/cos θ = 2/√3 = 2√3/3cos θ = √3/2Learn more about Trigonometric Ratios here:https://brainly.com/question/31675053
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The ratio of girls to boys in Liza’s classroom is 5
to 4
. How many girls are in her classroom if there is a total of 27
students?
Answer:
15 girls
Step-by-step explanation:
Let
x-----> the number of girls
y-----> the number of boys
we know that
-----> equation A
isolate the variable y
-----> equation B
Substitute equation B in equation A
you welcome
The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water. Using the information, finish the table. NEED HELP ON FINISHING THE TABLE.
Dry mix lbs water lbs total lbs
________ _________ 14 1/6
________ _________ ________
drew adds 1/2 cup of wheat flour and 2 3/4 cup of white flour to his muffin batter. how many cups of flourdoes drew add
A 1 1/4
B 2 2/3
C 3 1/4
D 3 3/4
Answer:3 and 1/4 is the answer
Step-by-step explanation:
Theo had a balance of-$4 in his savings account.after making a deposit he has $25 in his account what is the overall
What is the value of x? x+4/5=11 Enter your answer in the box in simplest form.
What is the true statement
The perimeter of a square is 12p +4. One side of the square equals? Explain your answer.
We know that a square, by definition, has four congruent sides.
So, simply divide the perimeter by 4, and you will get the expression equivalent to each side: 12p+4/4
3p+1 is equal to one side of the square
paul owes his father $10.75. he borrows $5.50 more from his father. what is paul's debt to his father
Estimate 45.8 divided by 23.6
360 km is 24% of blank km
PLEASE HELP FAST!!!!!!!!!!!!!!!!!
Tomas asked 15 students whether summer break should be longer. He used his calculator ti divide the number of students who said yes by the total number if students. His calculator showed the result as 0.9333......
a. Write this number as a fraction.
b.How many students said that summer break should be longer
PLEASE AWNSER THEM
Answer:
A: [tex]\frac{14}{15}[/tex]
B: 14
Step-by-step explanation:
Let the number of students who said that summer break should be longer be x.
Total number of students = 15
The result showed = 0.9333....
We can calculate this like :
[tex]\frac{x}{15}=0.93333.....[/tex]
This gives x = 14 approx
A:
So, in fraction form it can be written like = [tex]\frac{14}{15}[/tex]
B:
14 students said the summer break should be longer.
If Gabby wants to make an octagon with a side length of 20 inches using a wire how much wire does she need
Answer: She Will Need 160 Inches Of Wire.
Step-by-step explanation: 20x8=160
An amphitheater charges $75 for each seat in Section A, $55 for each seat in Section B, and $30 for each lawn seat. There are three times as many seats in Section B as in Section A. The revenue from selling all 23,000 seats is $870,000. How many seats are in each section of the amphitheater?
Explaining how to determine the number of seats in each section based on seat pricing and total revenue.
Explanation:Analyzing seat pricing and revenue:
Let the number of seats in Section A be x.Then, the number of seats in Section B is 3x.Set up equations based on the given information and total revenue to find the number of seats in each section.Mr. and Mrs. Patton and their daughter Carolyn own three cars. Carolyn drives 10 miles per week farther with her car than her father does with his. Mr. Patton does twice as many miles per week as Mrs. Patton. If their total mileage per week is 160 miles, how many miles per week does each drive?
Answer: They drive 60 miles, 70 miles, 30 miles respectively.
Step-by-step explanation:
Since we have given that
Total mileage per week = 160 miles
Let the number of miles that her father does be x
Let the number of miles that she does be x+10
let the number of miles that her mother does be [tex]\dfrac{x}{2}[/tex]
so, our equation becomes,
[tex]x+x+10+\dfrac{x}{2}=160\\\\2x+\dfrac{x}2}=160-10\\\\\dfrac{4x+x}{2}=150\\\\\dfrac{5x}{2}=150\\\\x=\dfrac{150\times 2}{5}\\\\x=60\ miles[/tex]
So, her father drives 60 miles.
She drives 60 +10 = 70 miles.
Her mother drives [tex]\dfrac{60}{2}=30\ miles[/tex]
Hence, they drive 60 miles, 70 miles, 30 miles respectively.
A full can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?
Lines a and b are parallel.
What is the measure of angle m?
m = ?