The original price of the item is $75.
Suppose the original price of the item =x
Discount =40%
What is the percentage?The percentage is the value per hundred.
Given discounted price or sale price of the item =$45
This means [tex]x-\frac{x*40}{100} =45[/tex]
[tex]\frac{60x}{100} =45[/tex]
[tex]\frac{3x}{5} =45[/tex]
[tex]x=75[/tex]
So, the original price of the item =$75
Hence, the original price of the item is $75.
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i have forgotten how to share a number into ratio!! help please!
The distance to the first delivery is 12 1/3miles. The distance between the next three delivery is is 8 3/4 miles, 17 2/8 miles, and 23 2/3 miles respectiviely. The distance from the final delivery to the shop is 10 5/10 miles. What is average distance for all segments of this trip?
There is a sales tax of $6 on an item that costs $88 before tax and. The sales tax on a second item is $21. How much does the second item cost before tax
What is 225 percent as a decimal or fraction in simpilist form
How do you solve 7/12 ÷ 2 5/8
2w-5w=27 can you tell me how to solve this to where I can understand
how many shelves will display 2 cars if 8 of the shelves each display 1 car
To determine the number of shelves that will display 2 cars each when 8 shelves display 1 car each, simply divide 8 by 2. The answer is 4 shelves.
To solve this problem, we'll use basic arithmetic. If each of the 8 shelves displays 1 car, then to display 2 cars on a shelf, we would need to combine pairs of shelves. This means we would take the 8 shelves, and divide by 2 cars per shelf to find the number of shelves needed for 2 cars each. So, 8 shelves divided by 2 cars per shelf equals 4 shelves.
Therefore, the answer is that 4 shelves will display 2 cars each if there were originally 8 shelves with 1 car each.
the difference of 9 and the square of a number
ray is 23 years older than his sister Carol. in 20 years he will be twice as old as Carol. how old is each of them now?
0.06 is 10 times as much as 0.600
Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with catsup. The rest want them plain. How many plain hamburgers will Jim and his dad make?
A: 8
B:16
C:21
D:23
The number of people who do not want plain hamburgers is 3+2+2 = 7, so 15-7 = 8 people want plain hamburgers. Each person wants 2 hamburgers, for a total of ...
... B: 16
plain hamburgers.
Jim and his dad will make 23 plain hamburgers.
Explanation:To find the number of plain hamburgers Jim and his dad will make, we need to subtract the number of hamburgers with special toppings from the total number of hamburgers. There are 15 people in total, and each person wants 2 hamburgers, so Jim and his dad need to make 15 x 2 = 30 hamburgers in total.
Out of the 30 hamburgers, 3 people want hamburgers with cheese, 2 people want hamburgers with mustard, and 2 people want hamburgers with catsup. Therefore, the total number of hamburgers with special toppings is 3 + 2 + 2 = 7 hamburgers.
Subtracting the number of hamburgers with special toppings from the total number of hamburgers, we get 30 - 7 = 23 plain hamburgers. Therefore, Jim and his dad will make 23 plain hamburgers.
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A poll conducted in 2013 found that 52% of u.s. adult twitter users get at least some news on twitter.40. the standard error for this estimate was 2.4%, and a normal distribution may be used to model the sample proportion. construct a 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter, and interpret the confidence interval in context.
For 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
Given information:
52% or 0.52 fraction of US adult twitter users get at least some news on twitter. It is the sample population in fractions.
The standard error is 2.4% or 0.024 fraction.
Normal distribution may be used to model the sample proportion.
Now, for 99% confidence level, the interval for the fraction of US adult who get some news on twitter will be,
[tex]I=\texttt{sample population}\pm 2.575\times \texttt{standard error}\\I=0.52\pm 2.575\times0.024\\I=0.52\pm 0.0618\\I=(0.4582, 0.5818)[/tex]
Therefore, for 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
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Students in a class were asked to name their favorite flavor of ice cream. The results are shown in the circle graph. How many times more students prefer cookies and cream than prefer strawberry?
Cookies and Cream: 18%
Strawberry: 2%
Cookie Dough: 35%
Vanilla: 25%
Chocolate Chip: 20%
Answer: 9 times
Step-by-step explanation:
Let the total number students be x.
Then the number of students liked cookies and cream = 18% of x= 0.18 x
The number of strawberry = 2% of x = 0.02 x
Clearly, 0.18 x> 0.02 x
The number of times more students prefer cookies and cream than prefer strawberry =[tex]=\frac{0.18x}{0.02x}=9[/tex]
Hence, The students prefer 9 times cookies and cream than prefer strawberry.
Square EFGH has vertices: E = (-1,1), F = (-1,2), G = (-2,1), H = (-2, 2). In which quadrant will the image of vertex E' be if the square is rotated 270° clockwise about the origin O?
Answer:
Quadrant III
Step-by-step explanation:
Did this lesson, just checked the answer key.
A high rise building has a sink on the fourth floor located 2-feet above the floor. Each floor is 10-feet above the other. Calculate the psi at the sink where when the street pressure is 80 psi. The building does not have a pressure reducing device due to fire codes.
the shop has 1260 ounces of cranberry juice and 650 ounces of passion fruit juice.ifvthe juices are used to make crazy cranberry smoothies, which juice will run out first?how much of the other juice will be left over?
Find the complete factorization of the expression.
10xyz + 24xy + 6xz
A) xyz(5 + 12 + 3)
B) 2x(5zy + 12y + 3z)
C) x(10zy + 24y + 6z)
D) 2(5xzy + 12xy + 3xz)
Answer:
B) 2x(5zy + 12y + 3z)
Step-by-step explanation:
First, all coefficient for each term are a pair number, therefor 2 is common factor for all these
[tex]10xyz + 24xy + 6xz=>2(5zxy + 12xy + 3xz )[/tex]
then, the variable X is present for each term of the funtion [tex](5zxy + 12xy + 3xz)[/tex], so, the variable X is a common factor to.
[tex]2(5zxy + 12xy + 3xz )=> 2x(5zy + 12y + 3z )[/tex]
What is 0.003 of 1/10 as much as
For the past 7 years, George and Sue have deposited $10,000 in a retirement account with a simple interest rate of 4%. They plan to continue to make annual deposits for the next 15 years. Explain how their money will grow over time. Note: You do not need to extend their entire savings for 22 years in your explanation. Focus on the earning for the first several years and explain how their money will grow.
Answer:
George and Sue's money will grow due to both to their contributions and the simple interest that they accrue. Simple interest means that the interest they receive will be applied to the principle, but not the interest that has been accrued. This means that for every $10,000 they put in, they will receive $400 dollars in interest every year, and this number will not change with time.
Right now, they've deposited 10,000 every 7 years for a total of 70,000 dollars. Their annual interest therefore is 400 * 7 = 2800. With every 10,000 dollars they deposit, the yearly interest will grow by $400. This is different from compounding interest, in which annual interest will grow by more than $400 dollars every year since the rate will be applied to principle and all accrued interest.
Step-by-step explanation:
What does the "O" stand for in the S.T.O.P. method of refusal?
A.
Only try it once.
B.
Offer another idea.
C.
Offer a ride home.
D.
Organize a list of problems.
O stands for Offer another idea.
Option B is the correct answer.
What are abbreviations?Abbreviations are shortened versions of words or phrases that are commonly used in written or spoken language.
They are created by taking the first letter (or sometimes multiple letters) of each word in a phrase and using them to form a shorter, more compact version of the phrase.
For example:
"ASAP" is an abbreviation for "as soon as possible" and "FYI" is an abbreviation for "for your information".
Abbreviations are often used to save time and space in writing and are common in fields such as science, medicine, and technology where complex terms and phrases are frequently used.
We have,
The "O" in the S.T.O.P. method of refusal stands for "Offer another idea."
Thus,
O stands for Offer another idea.
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The formula f 5280m can be used to convert a measurement of f feet to an equivalent measurement of m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles?
4 miles?
5.3 miles?
111,513,600 miles?
132,620,600 miles?
which choice correctly expresses the number below in scientific notation
What is 0.650 , 0.065 , 0.605 , 0.560 in least to greatest
figure ABCD is a rectangle with point A (-2, 5). What rule would rotate the figure 90 degree clockwise?
Kira is saving money to buy a bike that costs $133 . She has $42 and will save an additional $7 each week. In how many weeks will she have enough money to buy the bike?
A towns population went from 25.800 to 42,600 in 15 years. What was the percent increase?
I am having difficulty solving this problem
1. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
The equations we can create is based from this equation:
time = volume of pool / rate
Drain A: time = 108 gal / (2 gal / min) = 54 min
Drain B: time = 108 gal / (5 gal / min) = 21.6 min
64 is 55% of what number
Recall that you can use the built-in functions rem(m,n) or mod(m,n)to find the remainder of the division m/n.
The 'rem(m, n)' and 'mod(m, n)' methods in mathematics provide the remainder of the division operation m / n. When dealing with numbers in exponential form, you divide the base numbers and subtract the exponents to simplify the terms. An understanding of these operations is essential for solving more complex equations.
Explanation:In mathematics, there are two ways to find the remainder of a division operation: rem(m,n) or mod(m,n). These functions take two numbers m and n, and return the remainder when m is divided by n.
For example, in the case of 106 divided by 103, you would first divide the 'base' numbers (10/10) which equals 1, and then subtract the exponents (6-3) which equals 3. So, the result is 103 or 1000. Another example is 4.5 x 109 divided by 103. Here, first you divide 4.5 by 1 (since 10/10 = 1) and then subtract 9-3 equals 6. Therefore, the answer is (4.5) x 106.
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