PLEASE HELP 99 POINTS PLUS BRAINIEST ANSWER.
1. Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.
To the nearest tenth of a percent, what is the percent error in Mark's estimate?
Enter your answer in the box.
2. The price of a wallet is $31.95 and the sales tax is 7.5%.
What is the total cost of the wallet?
Enter your answer in the box.
3. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Enter your answer in the box.
4. The Picture Below.
Answer:
(1)The percentage error is 6.897 % .
(2)The total cost of the wallet is $34.35 .
(3)The salesman's commission as a percent of his total monthly sales is 4% .
(4)The interest is $5400 .
Step-by-step explanation:
First part
Formula
[tex]Percentage = \frac{Change\ in\ value\times 100}{Exact\ value}[/tex]
Change in value = |Approx value - Exact value|
As given
Mark estimates that the distance from his house to his school is 15.5 mi. The actual distance is 14.5 mi.
Approx value = 15.5 mi
Exact value = 14.5 mi
Change in value = |15.5 - 14.5|
= 1
Put all the values in the formula
[tex]Percentage\ error = \frac{1\times 100}{14.5}[/tex]
[tex]Percentage\ error = \frac{100}{14.5}[/tex]
Percentage error = 6.897 % (Approx)
Thus the percentage error is 6.897 % .
Second part
The price of a wallet is $31.95 and the sales tax is 7.5%.
7.5% is written in the decimal form
[tex]= \frac{7.5}{100}[/tex]
= 0.075
Sales tax price = 0.075 × Price of the wallet
= 0.075 × $31.95
= $2.4 (Approx)
Total cost of the wallets = Cost of the wallet + Sales tax price
= $31.95 + $2.4
= $34.35
Therefore the total cost of the wallet is $34.35.
Third part
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales.
Part value = $165
Total value = $4125
Put all the values in the formula
[tex]Percentage = \frac{165\times 100}{4125}[/tex]
[tex]Percentage = \frac{16500}{4125}[/tex]
Percentage = 4%
Therefore the salesman's commission as a percent of his total monthly sales is 4% .
Fourth part
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]
Principle = $12000
Rate = 15%
Time = 3 years
Put all the values in the formula
[tex]Simple\ interest = \frac{12000\times 15\times 3}{100}[/tex]
[tex]Simple\ interest = \frac{540000}{100}[/tex]
Simple interest = $5400
Therefore the interest is $5400 .
Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.
How much of each juice is needed to make 25 liters of this punch?
I got 12.5L for pear, 5L for pineapple, and 7.5L for plum. These were all right. Now, I have the second part I need help with:
How much punch can she make if she has only 6 cups of plum juice?
Answer:
20!
Step-by-step explanation:
trust me i just did this problem! is 20 :)
To calculate the amount of punch Jane can make with 6 cups of plum juice, we need to convert cups to liters and use proportions based on the original juice ratios. She can make approximately 4.8 liters of punch with 1.44 liters of plum juice, 2.4 liters of pear juice, and 0.96 liters of pineapple juice.
Explanation:Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. To find out how much punch she can make with only 6 cups of plum juice, we need to set up a ratio based on the original proportions. First, we convert the given amount of plum juice to liters because the original recipe is in liters (1 cup is approximately 0.24 liters). Six cups of plum juice is roughly 1.44 liters.
Using the original ratio of 5:2:3 for pear, pineapple, and plum juice, and knowing that the amount of plum juice is 1.44 liters, we can set up the following proportions:
Plum Juice: 3 parts (original ratio) = 1.44 liters (actual)Pear Juice: 5 parts (original ratio) = x liters (actual)Pineapple Juice: 2 parts (original ratio) = y liters (actual)To find the values of x and y, we use cross multiplication:
For pear juice: (5/3) = x/1.44For pineapple juice: (2/3) = y/1.44By solving these equations, we find x (pear juice) is approximately 2.4 liters and y (pineapple juice) is approximately 0.96 liters. Adding these up, Jane can make a total of 4.8 liters of punch with the available plum juice.
Help Plz, I need to know the Points on the strips.
solve the equation 5m = -10
6.08 kilograms to grams
Plz Help i dont knowthe answer
What will be the lowest common denominator for the fractions 2/3 and 4/5?
A.
30
B.
15
C.
9
D.
18
11880 ft=_______miles
1. Hannah gives clues about her 6 digit secret number:
Clue 1: It is the same number if you read it from right to left.
Clue 2: The number is a multiple of 9
Clue 3: Cross of the first and last digits. The only prime factor of the remaining four digit number is 11.
What is Hannah's 6 digit number?
2. The only way that 10 can be written as the sum of four different counting numbers is 1+2+3+4. In how many different ways can 15 be written be written as the sum of 4 different counting numbers? Assume the order does not matter.
A) The six digit number of Hannah is; 513315
B) The number of ways that 15 be written be written as the sum of 4 different counting numbers is; 4 different ways
How to find a six digit number?A) Hannah wants to give a clue about her 6 digit secret number. We are told that if you read the number from right to left, it will be the same number.
Also, the number is a multiple of 9. Lastly, we are told that if we cross off the first and last number, the only remaining prime factor of the remaining four digit number is 11.
From the list of numbers gotten online that fit the bill, the only one that applies in this case is 513315
B) The different ways that 15 can be written as a sum of four different numbers are;
1 + 2 + 3 + 9 = 15
2 + 3 + 4 + 6 = 15
1 + 2 + 5 + 7 = 15
1 + 3 + 4 + 7 = 15
These are 4 different ways
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Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully inflated? [Round to nearest tenth.] A) 83.8 cm3 B) 251.4 cm3 C) 1676.2 cm3 D) 33,493.3 cm3
Answer:
Option D. [tex]33,493.3\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (beach ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=20\ cm[/tex]
substitute
[tex]V=\frac{4}{3}\pi (20^{3})=33,493.3\ cm^{3}[/tex]
The Mississippi River is the second longest river in the United States,second only to the Missouri River. The Mississippi River is about 23/25 the length of the Missouri River.if the Missouri River is 2,540 miles long,how long is the Mississippi River?
The length of the Mississippi River is approximately 2,336.8 miles.
If the Mississippi River is about [tex]\( \frac{23}{25} \)[/tex] the length of the Missouri River, and the Missouri River is 2,540 miles long, we can find the length of the Mississippi River by multiplying the length of the Missouri River by [tex]\( \frac{23}{25} \).[/tex]
Length of the Mississippi River = [tex]\( \frac{23}{25} \times \text{Length of the Missouri River} \)[/tex]
Substituting the given value for the length of the Missouri River:
Length of the Mississippi River = [tex]\( \frac{23}{25} \times 2540 \)[/tex]
To compute this:
[tex]\[ \frac{23}{25} \times 2540 = \frac{23 \times 2540}{25} \][/tex]
[tex]\[ = \frac{58,420}{25} \][/tex]
= 2,336.8
Therefore, the length of the Mississippi River is approximately 2,336.8 miles.
Ten years ago in Louisiana, schools averaged 182 pupils for every 10 teachers. Write a ratio for this problem in 3 different ways.
Tim bought 2 pounds of apples for $0.50 per pound. He also bought 1.5 pounds of cookies for $2.10 per pound. Tim gave the cashier $10 for the apples and cookies. How much change did he receive?
On Wednesday, Abby and Lauren could not practice together, so they practiced separately. Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice in Wednesday?
Abby and Lauren practiced for a 1 hour and 7 minutes.
To find out how long Abby and Lauren practiced together on Wednesday, we need to add the time they each practiced individually.
1. First, we need to express the times practiced in the same form, preferably as fractions:
Abby's practice time: 11/12 of an hour
Lauren's practice time: 2/3 of an hour
2. Next, we need a common denominator to add these fractions. The least common multiple of 12 and 3 is 12:
2/3 = 8/12
3. Now, add the fractions:
11/12 + 8/12 = 19/12
Therefore, Abby and Lauren practiced for a total of 19/12 hours or 1 hour and 7 minutes on Wednesday.
write a problem you can use the make a table strategy to solve. Then solve the problem.
You entered a contest through your local television station. There is one first prize of a new car! There are 5 second place prizes of $1000, and 20 third place prizes of $100. If there are 2000 entries, what is the chance that you will win one of the 2nd place prizes?
Answer:
[tex]\frac{1}{400}[/tex] or 0.0025 0r 0.25%
Step-by-step explanation:
There are three categories that will get a prize
1) First place = 1 person
2) Second place = 5 persons
3) Third place = 20 persons
A total of 26 people will get prizes.
However, we want to determine your chance to win one of the second place prizes
There are 5 prizes in second place
This means out of a total of 2000 people, you could be among the 5
i.e 5 out of 2000
This is [tex]\frac{5}{2000} = \frac{1}{400} = 0.0025[/tex]
This means you have a chance of 1 out of 400
= 0.25%
Ms. Simon uses six different colored pens to grade papers. She has one of each of the following colors: red, purple, green, blue, orange, and black. Determine which statements are true.
The probability of randomly choosing a black pen is .
The probability of randomly choosing either a red or blue pen is .
The probability of randomly choosing an orange pen is about 0.17.
The probability of randomly not choosing a purple or blue pen is about 0.67.
The probability of randomly not choosing a black pen is .
The probability of randomly choosing a green or red pen is about 0.5.
The question revolves around the probability of choosing pens of specific colors. The calculation involves dividing the number of a particular outcome by the total outcomes. For each color pen, the chances are 1 in 6, unless the question asks regarding two colors OR not choosing certain colors.
Explanation:The subject matter of this question is probability, a mathematical concept that measures the likelihood an event will happen. In this case, the event is Ms. Simon picking a pen of a specific color from her collection of six pens.
The formula for probability is P (Event) = Number of Favorable Outcomes / Total Number of Outcomes.
The probability of randomly choosing a black pen is 1/6. The probability of randomly choosing either a red or blue pen is 2/6 or 0.33.The probability of randomly choosing an orange pen is 1/6 or about 0.17.The probability of randomly not choosing a purple or blue pen is 4/6 or about 0.67.The probability of randomly not choosing a black pen is 5/6.The probability of randomly choosing a green or red pen is 2/6 or about 0.33, not 0.5.Learn more about Probability here:https://brainly.com/question/22962752
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how to put 17/4 into a mixed number
After dividing 17 by 4 we get quotient 4 and remainder 1 so the mixed fraction of [tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex] .
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Here we have to convert 17/4 into a mixed fraction.
Divide 17 by 4,
(The complete steps of this division are attached below)
After division we get,
quotient = 4
remainder = 1
Hence,
The mixed fraction of,
[tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex]
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A submarine was situated 800 feet below sea level. If it goes 450 feet up towards the surface, goes back down 100 feet and then goes up again 210 feet, what is the submarine's new position? First to answer gets the brainliest reward!!!
the quotient of -9 and y
Estimate the quotient of 67 divided by 4
Therefore, the quotient of 67 divided by 4 is 16.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, 67 divided by 4.
Here,
4|67|16
4
_____
27
24
_____
3
So, the quotient is 16 and the remainder is 3.
Therefore, the quotient is 16.
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Cady's cats often share a carton of cat milk. Sammy always drinks 1/3 of the carton, tommy drinks 5/12 of the carton and Suzi drinks 1/6 of the carton . What fraction of the carton of cat milk is left over ?
What is - 32= - 4x because I am having so much trouble
Pablo wrote four division equations with 6 as the quotient. What are the four division equations that he wrote?
the pressure on a scuba diver at sea level is 14.7 pounds per square inch. The pressure in creases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she? Please include the equation. Thanks
The equation for pressure at depth is:
P = 14.7 + 0.445*d
The diver is approximately 59.101 feet deep.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
With the given information,
The equation for pressure at depth is:
P = 14.7 + 0.445*d
where P is the pressure in pounds per square inch (psi), d is the depth in feet, and 14.7 is the pressure at sea level.
To find the depth of the diver given a pressure of 41.4 psi, we can rearrange the equation and solve for d:
d = (P - 14.7) / 0.445
Plugging in the given pressure:
d = (41.4 - 14.7) / 0.445
d = 59.101 feet
Therefore,
The diver is approximately 59.101 feet deep.
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The art club had the members vote on three places to take a field trip. The results are in the table. If all of the members voted, what part of the club voted for the Carnegie museum of art?
Can someone help me please ?
how many 1/4 cups of cereal must be poured into a bowl so that it has two cups of cereal? (use digit 0-9)
What is the greatest common factor of 56 and 42?
vocabulary. use a vocabulary term to complete the definition ---------------are numbers that are easy to compute mentally
Mental math refers to numbers that are easy to compute mentally. These calculations can be done in your head without the need for a calculator or written work.
Explanation:Mental math refers to numbers that are easy to compute mentally. These are calculations that can be done in your head without the need for a calculator or written work. For example, mental math can involve adding or subtracting small numbers, multiplying or dividing by powers of 10, or using estimation to approximate a value. It is a useful skill to develop as it saves time and allows for quick calculations.
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Estimation and mental math techniques, like knowing certain reciprocals, help to easily compute numbers mentally, a skill valuable in both academic and real-world settings.
Explanation:Estimation and mental math are key concepts when considering numbers that are easy to compute mentally. By using heuristics, such as knowing the reciprocals of numbers that multiply to 10, or by rounding numbers to nearest tens or hundreds, we can simplify computations and make them more manageable without the use of calculators or paper. This approach is particularly useful when dealing with real-world scenarios where exact numbers are not necessary and approximate values will suffice.