The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an algebraic equation to determine the dimensions of the television.
how can you identify a linear nonproportional relationship from a table, a graph, and an equation?
Final answer:
A linear nonproportional relationship can be identified from a table by a consistent change in the dependent variable with a non-zero y-intercept, in a graph as a straight line with a constant slope that does not pass through the origin, and in an equation by the form y = mx + b or y = a + bx with a non-zero y-intercept.
Explanation:
To identify a linear nonproportional relationship from a table, a graph, and an equation, one must understand the characteristics of such a relationship. A linear nonproportional relationship is defined as a relationship where the rate of change between the variables is constant, but the ratio of the dependent variable to the independent variable is not constant.
From a table, a linear nonproportional relationship is identified by a consistent change in the dependent variable as the independent variable changes, but the starting value is not through the origin (0,0); there is a non-zero y-intercept.
In terms of a graph, it would appear as a straight line that does not pass through the origin but has a consistent slope. The slope of the line represents the rate of change, while the point where the line crosses the y-axis represents the y-intercept, which is not zero.
A linear nonproportional equation typically takes the form y = mx + b or y = a + bx, where m or b is the slope and b or a is the y-intercept. To recognize nonproportionality, check if the y-intercept (b or a) is not zero.
a machine makes 70 springs each hour. How many springs will the machine make in 8 hours?
The machine makes 560 springs in 8 hours if it makes 70 springs each hour.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Springs made by the machine in 1 hour = 70.
To find the number of springs made by machine in 8 hours,
Use ratio property,
In 1 hour machine makes = 70 springs
In 8 hours machine makes = 70 x 8 = 560 springs
Machine makes 560 springs in 8 hours.
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Jaime put 3 oranges on each tray how many oranges does he put on 5 trays
One number is 4 less than eleven times another. The sum of the two numbers is 92. Find the numbers.
The problem is an algebraic one involving two linear equations. By setting up correct equations, solving them step-by-step, we find that the two numbers are 8 and 84.
Explanation:This problem falls under algebra and specifically it involves solving linear equations. Let's denote the two unknown numbers as x and y. Given that 'One number is 4 less than eleven times another' we can formulate the first equation like this: y = 11x - 4. The second piece of information given is 'The sum of the two numbers is 92', so the second equation is x + y = 92.
We can substitute y from the first equation to the second equation which gives us: x + 11x - 4 = 92. Simplifying this gives us: 12x - 4 = 92. Solving for x we add 4 to both sides to get 12x = 96, and then divide both sides by 12 to find that x = 8.
Now that we have found x, we can substitute it back to one of the initial equations to find y. Substiting x = 8 into the equation y = 11x - 4 we find that y = 84. So the two numbers we are looking for are 8 and 84.
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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
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:
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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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
Cecily picked 219 apples and she divides them equally into 3 baskets how many apples are in each basket
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.
24.2 / 0.2 can someone explain please?
To calculate 24.2 divided by 0.2, convert the division into a multiplication by recognizing that dividing by 0.2 is the same as multiplying by 5. Thus, 24.2 times 5 gives the result of 121.
To calculate the quotient of 24.2 divided by 0.2, you can follow these steps:
First, recognize that dividing by 0.2 is the same as multiplying by 5. This is because 1 divided by 0.2 equals 5 (since 0.2 is the same as 1/5).Therefore, you can convert the division problem into a multiplication one: 24.2 × 5.Finally, when you multiply 24.2 by 5, you get 121. This is your answer.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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A number decreased by 23 is 44. Find the number. Which equation can be used to solve this problem?
A) x - 23 = 44
B) 23 - x = 44
C) x - 44 = 23
D) 44 - x = 23
Estimate the product of 204 and 0.46 Explain what method of estimation you used and why it works.
For sake of convenience, you can multiply them by 10,
then it will become, 2040 * 46 =93840
Now, you should divide that by 100, = 93840/100 = 93.84
Did you like that idea??
If not, you can approach for basic one...but then you have to be careful about decimal..ok
the product of a number and the difference of the number and 5
Mai bought a television for $330. The tax rate is 8%. What is the total amount Mai paid for the television? Enter your answer in the box.
Answer:
356.4 is the correct Answer
Step-by-step explanation:
I took a quiz
A laser printer prints 360 pages in 30 minutes. What is the printing rate in pages per minute
The family members going are 4 mothers, 4 grand-mothers and 4 daughters. What will be the minimum number of tickets required?
The minimum number of tickets required for the family members is four because the individuals can be counted in multiple categories—each person can be a daughter, mother, and grandmother.
Explanation:The question is asking for the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters. To solve this problem, we need to consider how these individuals could be related to each other and overlap in these categories. In a possible scenario, each grandmother is also a mother, and each mother is also a daughter. Therefore, the minimum number of individuals who could cover all these roles is four: one individual who is a daughter, her mother (who is also a daughter to the next in line), her grandmother (who is the mother of the previous person), and her great-grandmother (who fills the role of the fourth grandmother).
To determine the minimum number of tickets required for a group consisting of 4 mothers, 4 grandmothers, and 4 daughters, we have to identify overlapping roles within a three-generation family structure. By recognizing that each person can hold multiple roles, we find that a minimum of 3 tickets is required for this group.
Explanation:The question asks to calculate the minimum number of tickets required for a group including 4 mothers, 4 grandmothers, and 4 daughters. We need to figure out the possible relationships and overlaps in this family structure.
Let's consider a scenario where each grandmother is also a mother, and each mother is also a daughter. This is possible if we are speaking about a family consisting of three generations: the oldest generation (the grandmothers who are also mothers to the middle generation), the middle generation (the mothers who are also daughters to the oldest generation and mothers to the youngest generation), and the youngest generation (the daughters). If we set it up this way, we can have the smallest number of individuals who meet all the necessary conditions.
Here is the step-by-step explanation of the generational setup:
First generation: 1 grandmother who is also a mother.Second generation: Her daughter, who is also a mother.Third generation: Her daughter, who is not a mother.Thus, the three women in this family structure account for all 4 grandmothers, 4 mothers, and 4 daughters. Therefore, the minimum number of tickets required for this group would be 3.
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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if I used 23.8 liters over 28 days how many milliliters did i use each day
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?
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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what is 49.32 x 10 to the third power
can someone please help me I'm stuck!
A spider traveled 20 feet in 12 minutes. At this rate, how far could it travel in 3 minutes Distance ( ft ) 20 | | | Time (min) 12 | | 3|
The spider's average speed is 5/3 feet per minute, so in 3 minutes it could travel 5 feet.
To solve how far a spider could travel in 3 minutes based on its rate of 20 feet in 12 minutes, we use the concept of proportional relationships. The average speed of the spider can be calculated first.
The average speed is found by dividing the total distance by the total time. So, the spider's average speed is:
20 feet / 12 minutes = 5/3 feet per minute.
To find out how far the spider could travel in 3 minutes at this speed, we multiply the average speed by the time:
(5/3 feet per minute) x 3 minutes = 5 feet.
Thus, the spider could travel 5 feet in 3 minutes at the same rate.
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.
Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend?
Julie: $5.62
Micah:
Jeremy:
Explain how you can use a quick picture to find 3 × 2.7
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs?
Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?
Bart practice his trumpet 1 1/4 hours each day how many hours will be practice in 6 days?
what the equivalent name for 96
Which operations are the most efficient to use to solve the problem and what is the solution? The Jackson neighborhood has a community garden that has an area of 672 square yards. The width of the garden is 21 yards. The length of the Nguyen neighborhood garden is 15 yards longer than the length of the Jackson garden. What is the length of the Nguyen neighborhood garden? Choose exactly two answers that are correct.
A. Division and Addition
B. Multiplication and Addition
C. 330 yds
D. 47 yds