Why is an increase 20-40 100% but a decrease of 40-20 is 50%
Estimate each product. 2/9 of 88
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25
Plz explain, and plz show work
Answer: 3.4875
Step-by-step explanation:
Here, According to the question,
Total amount is $23.25
[tex]100\% = 23.25[/tex]
⇒[tex]1\% = \frac{23.25}{100}[/tex]
⇒[tex]1\%= \frac{0.95}{8}[/tex]
⇒ [tex]15\%= 15\times \frac{0.95}{8}[/tex] ( By multiplying 15 on both sides)
⇒ [tex]15\%= \frac{14.25}{8}[/tex]
⇒ [tex]15\%= 3.4875 [/tex]
Thus, 15% of $23.25 is $3.4875
find two fractions with the difference of 1/5 but with neither denominator equal to 5
The two fractions with a difference of 1/5 but with neither denominator equal to 5 are; 4/10 and 2/10
Two fractions that can give a difference of 1/5 are;
2/5 and 1/5
However, we are told that the denominator of both fractions must not be 5.
This means we have to multiply both numerator and denominator by the same number so that the denominator is no longer 5.
From multiplication law of equality of fractions, when we multiply the numerator and denominator of a fraction by the same number, the result is equal to the initial fraction.
Thus, let us multiply both numerator and denominator by 2 to get;
4/10 and 2/10
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An animal shelter has 7 puppies. If the puppies are 28% of the total dog and cat population, how many dogs and cats are in the animal shelter?
The total number of dogs and cats in the animal shelter is 25. We get this by dividing the number of puppies, which represent 28% of the population, by 0.28.
Explanation:To figure out the total dog and cat population in the animal shelter, we need to use the information given to us: the puppies, which make up 28% of the total population, number 7. To get the full population, we need to think of these 7 puppies as representing 28%. The way to get the total is to divide the number of puppies by the percentage they represent. Express 28% as a decimal and divide:
7 / 0.28 = 25
So there are 25 dogs and cats in the animal shelter.
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108 degrees is used in a pie chart to represent 12 people. how many people were there altogether
The total number of people in the pie chart will be 40.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
108° → 12 people.
Per degree people or the ratio of degree to people will be,
1° → 12/108 people
In a circle, there is 360° thus multiply by 360 on both sides,
360° = 12/108 x 360 = 40 people
Hence "The total number of people in the pie chart will be 40.".
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There are 25 students in Ms.Morris's class. She wants to divide the class into 3,4,or 5 equal teams with all students on a team. Which number of teams can Ms.Morris make? Explain.
The number of teams Ms.Morris can make would be 5-students groups.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that there are 25 students in Ms.Morris's class. She wants to divide the class into 3,4,or 5 equal teams with all students on a team.
If Ms. Morris wants to divide all the students in 3, 4 or 5 equal teams, then apply a division to know the number of students per group.
If she makes 3-students groups, it would be;
25/3
If she considers 4-students groups, then it would be;
25/4
Thus, it can be seen that she cannot divide a students in parts to have equal groups.
Therefore, she has to make 5-students groups,
25/5 = 5
This means that she can make groups of 5 students each, and she would have equal groups.
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A seamstress has 1/4 of a foot of thread. Then she uses 1/5 of a foot of thread to sew a hole. How much of the thread is left?
A) 9/20 of a foot
B) 3/20 of a foot
C) 1/20 of a foot
D) 1/16 of a foot
Answer: 1/20 :)
Step-by-step explanation: I did this and got full points heres for each question.
1. 5/21
2. 3/40
3. 33/56
4. 1/20 of a foot
5. 2/5 of the book
-5 - (-3) is how much? answers pwez
A laser printer prints 360 pages in 30 minutes. What is the printing rate in pages per minute
What is the equation of the line in slope-intercept form?
a number y is no more than -8 what is the inequality
Alicia's mp3 player contains 1260 songs. Given that 35% of the songs are rock songs and 20% are rap songs, how many of the songs are other type of songs?
Answer:
There are 567 of the songs are other.
Step-by-step explanation:
Since 55% of the songs are rock and rap, 45% of the songs are other.
To find 45% of 1260 we multiply by the decimal:
1260 x 0.45 = 567
The answer is 567
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Rock and rap songs make 55% of the songs then the rest of the songs should make 45% of the total songs.
Thus we have 45% of 1260=567
Hence, The answer is 567
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what what what is an equation for 2 1/4 + 6 2/10
shawna found out there are 4 yellow pencils for every blue pencil Write an equation for this situation. How do i write this as an equation?
clydesdale horse weighs as much a shetland pony and an american saddledred combined
six pipes are laid to the end to form a row each pipe is 9 1/3 inches how loong is the row of pipes
To calculate the total length of six pipes each of 9 1/3 inches long, multiply the length of one pipe by the number of pipes. By doing so, we find that the row of pipes would be approximately 56 inches long.
Explanation:The question asks how long a row of six pipes would be if each pipe was 9 1/3 inches long. To figure this out, you multiply the length of one pipe by the number of pipes. In this case, that would be 9 1/3 inches times six pipes.
To simplify the calculation, convert the fraction 1/3 to a decimal. 1/3 is approximately 0.333, and adding that to 9 makes 9.333 inches. Now that we have a decimal, we can multiply: 9.333 inches per pipe times 6 pipes equals approximately 56 inches.
Therefore, a row of six pipes each of 9 1/3 inches long would be approximately 56 inches long.
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Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account.
If no money was deposited into or withdrawn from the account, for how many years was the money in the account?
Round your answer to the nearest whole year.
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the amount in interest
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ P=\$1,300\\ I=\$299\\r=0.0575[/tex]
substitute in the formula above and solve for t
[tex]299=1,300(0.0575)(t)[/tex]
[tex]t=299/[1,300(0.0575)][/tex]
[tex]t=4\ years[/tex]
therefore
the answer is
[tex]4\ years[/tex]
Bonita's money was in the account for approximately 5 years.
Step 1: Define Variables and Formula
Let:
P represent the principal amount deposited (initial amount - $1300).r represent the annual interest rate (5.75% - we can convert this into a decimal by dividing by 100: 0.0575).t represent the number of years the money was in the account (unknown).I represent the total interest earned ($299).The formula for simple interest is:
I = P × r × t
Step 2: Apply the Formula to Known Values
We are given the values for I, r, and P (we can solve for P using the given information). Let's plug these values into the formula:
$299 = P × 0.0575 × t
Step 3: Solve for the Unknown (t - Number of Years)
To isolate t (the number of years), we can divide both sides by the product of P and r. However, we don't have the value of P yet.P needs to be the initial principal amount before any interest is earned. Since the question states Bonita deposited $1300, and we're calculating the interest earned, P represents the principal amount before interest.Step 4: Find the Principal Amount (P)
The total amount Bonita received when closing the account is the principal amount (P) plus the interest earned (I). We can represent this as:
P + I = $1300 (deposit amount) + $299 (interest)P = $1300 + $299P = $1599 (This is the principal amount before interest)Step 5: Solve for the Number of Years (t)
Now that we know P, we can plug it back into the equation along with the interest rate (r) to solve for t:
$299 = $1599 × 0.0575 × tt ≈ 5.49 (We haven't rounded yet)Step 6: Round the Answer (Nearest Whole Year)
The question asks for the number of years rounded to the nearest whole year. Since the decimal part (0.49) is closer to 0 than 1, we round down.
If the mean (average) of five consecutive numbers is 21, the smallest of three five numbers will be...
the product of a number and the difference of the number and 5
can someone please help me I'm stuck!
Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.
Select from the drop-down menu to correctly complete each statement.
The monthly charge for Danielle's cable bill is ? . Danielle also pays ? every time she watches a movie on demand.
A) $0
B) $69
C) $104
D) $108
E) $2
F) $5
G) $7
For the question marks right here ?, just replace them with the letter choices above this.
Answer: F) $5
Step-by-step explanation:
Monthly charge for cable bill payed be Danielle= $69
Last month, her total bill= $104
Therefore, amount she paid for movies = $104-$69= $35
Thus, amount she paid for 7 movies on demand = $35
⇒ The monthly charge ,every time she watches a movie on demand
=[tex]\frac{\$35}{7}=\$5[/tex]
Therefore, The monthly charge ,every time she watches a movie on demand=$5.
5/7x = 140 what is x
find the unit rate $2.10 for 6 oranges
Please answer pic provided
give an example of fractions you would compare by finding common denominator
The table represents a function.
x: 0, 2, 3, 5, 0
y:−5, 1, 4, 10
Complete the statement by selecting from the drop-down menu. The rate of change in the function y=x−6 is (ANSWERS: Greater Than, Less Than, Equal To) the rate of change of the function represented in the table.
Answer:
less than
Step-by-step explanation:
How many solutions will this system of equations have? y = 3.5x − 3.5 y = −3.5x + 3.5 No solution Infinite solutions One solution Two solutions\
It will not have any possible solutions
Step-by-step explanation:
this would actually have some solutions because
y=3.5x−3.5
Step: Substitute 3.5x−3.5 for y in y=−3.5x+3.5:
y=−3.5x+3.5
3.5x−3.5=−3.5x+3.5
3.5x−3.5+3.5x=−3.5x+3.5+3.5x(Add 3.5x to both sides)
7x−3.5=3.5
7x−3.5+3.5=3.5+3.5(Add 3.5 to both sides)
7x=7
7x
7
=
7
7
(Divide both sides by 7)
x=1
Step: Substitute 1 for x in y=3.5x−3.5:
y=3.5x−3.5
y=(3.5)(1)−3.5
y=0(Simplify both sides of the equation)
x=1 and y=0
Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division.
Answer and explanation;
If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
Create a pattern with the rule n - 4
The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)
Further explanationAlgebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
operations [tex]{\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}[/tex]
Numbers in mathematics can be divided into several terms
1. integer
numbers consist of positive, negative and 0 numbers
2. natural numbersnumbers consisting of positive numbers, starting with number 1
3. whole numbera number consists of positive numbers and zeros
4. prime numbernumbers that can only be divided by numbers themselves and the number 1
And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.
Integers themselves consist of
1. positive integersthe number to the right of the number 0 is 1,2,3 ...
2. negative integersthe numbers to the left of the zeros are -1, -2, -3 ...
3. number 0
n-4 is an algebraic form
the pattern is generated from rule = (n-4)
There are several possible values of n that can be entered to form a pattern
if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3pattern = -7, -6, -5, -4, -3, -2, -1, ...
if it's a natural number then the value of n = let's say 1,2,3pattern = -3, -2, -1, ...
if it's a whole number then the value of n = let's say 0,1,2,3pattern = -4, -3, -2, -1, ...
if it's prime number then the value of n = let's say 2,3,5,7 ...pattern = -2, -1,1,3, ....
Learn more
Express 0.000431 L answer as an integer
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type of number
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Classify the number as a natural, whole, integer, rational, or irrational.
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Keywords: natural, whole, integer, prime, number
The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]
Further explanation:
Given:
The rule is [tex]\left( {n - 4} \right).[/tex]
Explanation:
If n takes the value of natural numbers.
Substitute 1 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n - 4&= 1 - 4\\&=- 3\\\end{aligned}[/tex]
Substitute 2 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n- 4&= 2 - 4\\&= - 2\\\end{aligned}[/tex]
If [tex]n[/tex] takes the value of whole numbers.
Substitute 0 for [tex]n[/tex] in [tex]\left( {n - 4} \right).[/tex]
[tex]\begin{aligned}n - 4&= 0 - 4\\&= - 4\\\end{aligned}[/tex]
The pattern of the rule [tex]\left( {n - 4} \right)[/tex] is [tex]\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: numbers, rule, n-4, create, pattern, irrational numbers, rational numbers, adding, subtracting, multiplication, division, decimal expansion, natural numbers