Answers
Example:
.. 2/3 + 5/7 = (2*7 (outer) + 3*5 (inner))/(3*7 (last))
.. = (14 +15)/21
.. = 29/21 . . . . . an improper fraction, so can be written as a mixed number
.. = 1 8/21
In some cases, you will have to reduce the final fraction by dividing the numerator and denominator by the same number.
Example:
.. 2/8 + 2/6 = (2*6 +8*2)/(8*6) = 28/48
.. = (4*7)/(4*12)
.. = 7/12
Related Questions
Bo has 23 video games for sale. He plans to donate the money he makes from each sale to a local charity. What is the least amount of money in whole dollars Bo should charge for each game in order to raise $100? Explain
Answers
In order to raise $100, Bo should charge $5 for each game. In mathematics, "at least one" refers to one or more.
How to calculate least amount of money?He provided the least amount of money of any donor, whether in size, quantity, degree, etc. lowest in importance, standing, or consideration. noun. The smallest possible quantity, degree, or other attribute.
In mathematics, "at least one" refers to one or more. It is frequently employed when existence can be proved but there is no way to know how many possible solutions there are.
Given ,
Let x represent the lowest price per video game.
The number of games available is 23.
Selling video games will need to raise $100 as the minimum amount.
The necessary inequality follows:
total number of games need minimum sum
i.e.[tex]23x\geq 100[/tex]
23 divided by both sides gives us
[tex]x\geq 4.24782608696[/tex]≈5
So, in order to raise $100, Bo should charge $5 for each game.
To learn more about least amount of money refer to:
https://brainly.com/question/26556825
#SPJ2
Adding 3/8 to a number increases it by 5% of its original value. What is the original number?
Answers
-5 - (-3) is how much? answers pwez
Answers
(hope it helps you!)
there are threee spider on the wall.There are six ladybugs on the wall.how many spider and ladybugs legs are there on the wall
Answers
Ladybugs have 6 legs
3 spiders * 8 legs = 24 spider legs
6 ladybugs * 6 legs = 36 ladybug legs
24 spider legs + 36 ladybug legs = 60 total legs.
But my question is, why are there so many insects on the wall?
=> 8*3=24 legs
1 ladybug has (6 I assume) legs
=> 6*6=36 legs
Total 24+36=60 (legs, not insects)
Please answer pic provided
Answers
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?
Answers
Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division.
Answers
95/10=9.5
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.
Estimate each product. 2/9 of 88
Answers
That's what I have gotten.
a can of juice contains 175 calories per 2.5 servings which of the following is not an equivalent number of calories per serving
Answers
To find the equivalent number of calories per serving based on that a can of juice contains 175 calories for 2.5 servings, divide 175 by 2.5 to get 70 calories per serving. Any amount other than 70 calories per serving would not be equivalent.
Explanation:The question is asking to find an equivalent number of calories per serving based on the information that a can of juice contains 175 calories per 2.5 servings. To calculate the calories per serving, we divide the total number of calories by the number of servings, so:
Calories per serving = Total calories ÷ Number of servings = 175 calories ÷ 2.5 servings = 70 calories per serving.
Now, let's say we have several options that represent the number of calories per serving:
70 calories per serving (correct equivalent)60 calories per serving (not an equivalent)75 calories per serving (not an equivalent)80 calories per serving (not an equivalent)From this list, every option except for the first one (70 calories per serving) is not an equivalent number of calories per serving as our calculated 70 calories per serving.
find the unit rate $2.10 for 6 oranges
Answers
Suppose f(x) = 4x – 2 and g(x) = -2x + 1. Find the value of f(g(3)).
Answers
g(3) = -6 + 1 = -5
f(-5) = 4(-5) - 2
f(-5) = -20 -2
f(-5) = -22
Hence, the value of f(g(3)) is equal to -22.
Value of f(g(3)) is -22.
What is a function?Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = 4x – 2
g(x) = -2x + 1
Value of f(g(3))
g(x) = -2x + 1
g(3) = -2(3) + 1
g(3) = -6 + 1
g(3) = -5
f(g(3)) = f(-5)
f(x) = 4x – 2
f(-5) = 4(-5) - 2
f(g(3)) = -20 -2
f(g(3)) = -22
Hence, value of f(g(3)) is -22.
Find out more information about function here
https://brainly.com/question/17142336
#SPJ2
108 degrees is used in a pie chart to represent 12 people. how many people were there altogether
Answers
I divided 12/108 and then got .111111 and multiplied that by 360 and got 40. Unconventional but correct.
Hope I helped!
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.".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
5/7x = 140 what is x
Answers
5/7x=140
Fisrt you multiple both side of the equation by >>> 7/5
(75) * (57x) = (75) * (140)
And you get >>>
x=196
Hope this helps. c:
What is the equation of the line in slope-intercept form?
Answers
m=slope
b=y intercept
slope=rise/run
we can see that if we look at the portion of the line that is bounded by the 2nd quadrant, we see it rises 5 units up and runs 2 units to the right
5/2
m=5/2
yintercept is where the line crosses the y axis
it crosses at y=5
the equation is [tex]y= \frac{5}{2} x+5[/tex]
Create a pattern with the rule n - 4
Answers
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
brainly.com/question/10876135
type of number
brainly.com/question/12788761
Classify the number as a natural, whole, integer, rational, or irrational.
brainly.com/question/2731293
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]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
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
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
Answers
1/4 -1/5
= 5/20 - 4/20
=1/20
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
give an example of fractions you would compare by finding common denominator
Answers
carlos has a string that is 24 inches long. he wants to divide it into 3 equal parts. write an equation to find how long each part will be. use ? to represent the unknow number. then solve your equation.
Answers
just divide the given number by 3 . you will get the answer 8
Final answer:
Carlos can divide his 24-inch string into 3 equal parts by solving the equation 3x = 24, which gives each part a length of 8 inches.
Explanation:
Carlos has a string that is 24 inches long and wants to divide it into 3 equal parts. To find how long each part will be, we can represent the unknown length of each part by the variable ? (which we will replace with x for the equation). The equation we can write for this scenario is 3x = 24.
To solve for x, we divide both sides of the equation by 3:
3x / 3 = 24 / 3x = 8So, each part of the string will be 8 inches long.
what what what is an equation for 2 1/4 + 6 2/10
Answers
= 1/2 + 6/5
= 5+12/10
=17/10
Alternative form :
1 7/10 , 1.7
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?
Answers
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.
Learn more about Percentage Calculation here:https://brainly.com/question/32197511
#SPJ12
The school purchased 100 trophies to give to the honor roll students. If one trophy cost $4.32, how much would it cost for all of the trophies
Answers
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
Answers
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
clydesdale horse weighs as much a shetland pony and an american saddledred combined
Answers
If the mean (average) of five consecutive numbers is 21, the smallest of three five numbers will be...
Answers
they are
x,x+1,x+2,x+3,x+4
average is 21
(x+x+1+x+2+x+3+x+4)/5=21
(5x+10)/5=21
times both sides by 5
5x+10=105
minus 10 both sides
5x=95
divide both sides by 5
x=19
x+1=20
x+2=21
x+3=22
x+4=23
the smallest number is 19
A car wash detailed 272 cars in 8 hours. At what rate did the car wash detail cars in cars per hour.
Answers
a number y is no more than -8 what is the inequality
Answers
Why is an increase 20-40 100% but a decrease of 40-20 is 50%
Answers
When 40 changes to 20, it is being decreased by 20, which in percent is only 50% of the starting number. This leaves 50% of the original number left. This is the same thing as dividing by two, and 50% is 1/2!
Hope this helps!
Convert 3/5 to a percent
Answers
Hope this helped!!
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\
Answers
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
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.
Answers
5 times 5 equal 25.
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.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2