The table show piszzas (P) on the left column and the slices of Pepperonin (S) on the right column.
To determine the equation models first check the ratio S/P to determine whether they are proportinal or not.
\(\begin{gathered} \frac{36}{3}=12 \\ \frac{96}{8}=12 \\ \frac{228}{19}=12 \end{gathered}\)Now as the ratios are constant it mean the variation is linear and the relationship is proportional.
Thus the model equation can be determine as,
\(\begin{gathered} \frac{S}{P}=12 \\ S=12P \end{gathered}\)Thus, the above equation gives the required model equation.
Both numbers are prime in which of the following pairs of numbers?
O A 5 and 9
B. 7 and 9
O c. 5 and 6
O D. 5 and 7
O E. 7 and 8
Answer:
\( \huge{ \boxed{ \sf{5 \: and \: 7}}}\)
☪ Question :
☇ Both numbers are prime in which of the following pairs of numbers ?
☐ 5 and 9
☐ 7 and 9
☐ 5 and 6
☑ 5 and 7 ---- Answer !!
☐ 7 and 8
-----------------------------------------------------------------
☥ Let's explore about prime numbers and composite numbers !!
A prime number is a whole number that only has two factors which are one and itself.A composite number is a whole number with 3 or more factors.\( \underline{ \text{Still \: confused ?}}\)
Alright , Let's check all the options :
☐ 5 and 9
⤿ 5 is a prime number as it can only be divided by 1 and itself but 9 is not a prime number as it can be divided by more than two numbers ( i.e 1 , 3 and 9 )
☐ 7 and 9
⤿ 7 is a prime number as it can only be divided by 1 and itself but 9 is a composite number as it can be divided by 1 , 3 and 9.
☐ 5 and 6
⤿ 5 is a prime number as it can only be divided by 1 and itself but 6 is a composite number as it can be divided by more than two numbers ( i.e 1 , 3 and 6 )
☑ 5 and 7
⤿ Yeah ! 5 and 7 are prime numbers as they only have two factors which are one and itself.
☐ 7 and 8
⤿ 7 is a prime number as it can only be divided by 1 and itself but 8 is a composite number as it can be divided by more than two numbers ( i.e 1 , 2 , 4 and 8 )
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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Here we just need to identify the pair of prime numbers, we will see that the correct option is D: 5 and 7.
Prime numbers.
Prime numbers are the numbers that can only be divided by themselves and 1.
So we just need to test each one of the given numbers to see if these are primes or not, for example for 6 we have:
6/3 = 2
6/2 = 3
So 6 is not a prime.
Similarly for 8 we have:
8/2 = 4
8/4 = 2
So 8 is not a prime.
In the other hand, 5 and 7 can only be divided by themselves, thus 5 and 7 are primes.
Then the correct option is D, 5 and 7.
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What is
x + 9 = 18 + -2x
Answer:
The solution to the equation x + 9 = 18 + -2x is x = 3.
Step-by-step explanation:
To solve this equation for x, you can first simplify both sides of the equation by combining like terms.
x + 9 = 18 + -2x
Add 2x to both sides:
x + 2x + 9 = 18
Combine like terms:
3x + 9 = 18
Subtract 9 from both sides:
3x = 9
Finally, divide both sides by 3 to solve for x:
x = 3
Therefore, the solution to the equation x + 9 = 18 + -2x is x = 3.
HOPE THIS HELPED:)))
Answer:
3
Step-by-step explanation:
replace the + with - signs
x+9=18−2x
add the 2x to both equations and x becomes a 1 since we dont know its value.
3x+9=18
then you got to subtract 9 by 18 and that equals to 9 then
3x=9 3 divided by 9 is 3 and when simplified
and the answer is 3
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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Help please my assignment is due at 7❗️You get brainleist and points if u help just the numbers 10 11 and 12
Answer:
the answer for 12 would be 63
Step-by-step explanation:
7 x 9 x 1
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Years in which U.S. presidents were inaugurated
Answer:
Interval Level of Measurement
Step-by-step explanation:
The Interval level of measurement highlights the distances between two measurements. These distances are meaningful and could be rated as low intervals or high intervals. Intervals also indicate class and order between measurements. The inauguration of the United States President is an event that occurs 72 to 78 days after the presidential election. It is usually done as a private and public oath-taking ceremony on January 20, four years after the last presidential election. So, even if the president is on a second term, this event must be held.
The last U.S presidential election occurred on January 20, 2017, and the next one will be held on January 21, 2021. So there is an interval of four years between the last and next U.S presidential inauguration ceremony.
what fraction of the number are prime numbers from 2 to 14
Answer:
i hope you got it.
plz mark brainliest.
Which of the students found the correct value of their expression? Select all that are true. None of the students Student 2 Student 1 Student 3 I will give you TEN BIG POINTS PLZ HELP.
Answer:
Step-by-step explanation:
Student 2 and student 1
A random sample of fully-grown lobsters has a mean weight of 16 ounces. A researcher
wants to estimate the average weight of all fully-grown lobsters. He finds the margin of
error to be 2.7 ounces for a 90% confidence interval
Answer:
16.79
yes eys yes yes yes .............
on a 25 square grid how many squares need to be shaded to make 60% shaded
Answer:
15 squares
Step-by-step explanation:
60/100 * 25 = 15
The function of X equals 2X is transformed to G X equals 2X -3 what type of transformation has occurred
The transformation that has occurred is a vertical shift by 3 units down when the function of X = 2X is transformed to X = 2X -3
What is meant by linear equations?Function that have the form ax + b = 0—where a and b are constants and x is a variable—are known as linear equations. Because they plot as a single direction, these equations are referred to as "linear which is equals to The slope of this line is dictated by the value of a, and the y-intercept (where the line crosses the y-axis) is determined by the value of b. Solving a linear equation entails determining the value of x that makes the equation true. Algebraic strategies like graphing, substitution, or elimination can be used for this. In a number of disciplines, such as engineering, physics, and finance, linear equations are often utilized.
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Will mark as brainlist
Which of the following best represents R= A - B ?
Please help, it’s due soon!
A.
Step-by-step explanation:This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.
Hence, the answer that better represent the resulting vector is answer A.
A.
Step-by-step explanation:This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.
Hence, the answer that better represent the resulting vector is answer A.
14 boys and 16 girls in class
What is the ratio of girls to the total number of students in class? Write ratio in 3 ways
Answer:
1) 16 : 30
2) 8 : 15
3) \(\displaystyle \frac{8}{15}\)
Step-by-step explanation:
Boys = 14
Girls = 16
Total students:
= 14 + 16
= 30
Ratio of Girls to total number of students in class:
= 16 : 30
÷2 ÷2
= 8 : 15
= \(\displaystyle \frac{8}{15}\)
\(\rule[225]{225}{2}\)
The graph shows the relationship between the
cups of water and pounds of beef needed for a
beef casserole.
Poop
Answer:
Step-by-step explanation:
a shopping center form 300000 square feet to an excess of 1 million square feer that consists mostly of large national chain stores is called a
Answer: Honeymoon2871
Step-by-step explanation:
O POLYNOMIAL AND RATIONAL FUNCTIONSFinding a polynomial of a given degree with given zeros: Real.
Explanation:
For these numbers
1,-6,3,8 and -4
to be zeros of that polynomial, those values should make the function zero, then each factor corresponds to the additive inverse, in this case:
\(f(x)=(x-1)(x+6)(x-3)(x-8)(x+4)\)That is the factored form of the polynomial.
Answer:
\(f(x)=(x-1)(x+6)(x-3)(x-8)(x+4)\)Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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The main printer in the Ivy Tech library can produce an average of 360copies every hour. For every 48 pages, it costs the college $0.3 forelectricity and supplies. If the library is open from 9AM to 9PM, howmuch money does the college use on printing each day?
Answer:
The college uses $27 on printing each day
Explanation:
Given that the library is open form 9AM to 9PM, this is 12 hours
Since the printer in the library can produce an average of 360 copies per hour, it can produce 12 * 360 = 4,320 copies in 12 hours.
Again, every 48 pages costs $0.3
4,320 = 48 * 90
So, 4,320 pages costs 90 * $0.3
= $27
¿De qué número 64 es el 80%?
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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For each step, choose the reason that best justifies it.
3(4u - 2) = -30: Given equation
Step 1:
12u - 6 = -30: Distributive property
Explanation:
\(\begin{gathered} 3(4u-2)=-30 \\ 3\cdot4u-3\cdot2=-30 \\ 12u-6=-30 \end{gathered}\)Step 2:
12u -6 + 6 = -30 + 6: Addition property of Equality
Explanation: This step is required to eliminate the term -6 from the left side.
Step 3:
12u = -24: Simplifying
Explanation: Here we just solved the arithmetic operations -6 + 6, on the left side, and -30 + 6, on the right side.
Step 4:
12u/12 = -24/12: Division property of the Equality
Explanation: This step is required to isolat the term u on the left side.
Step 5:
u = -2: Simplifying
Explanation: Here, we just sulvet the arithmetic operations 12/12, on the left side, and -24/12, on the right side.
Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing through (5, 2) and (-4, -16) is:
y - 2 = [(-16-2)/(-4-5)](x - 5)
y - 2 = 2(x - 5)
y = 2x - 8
y + 16 = 2(x + 4)
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find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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If 2 is subtracted from a number, the result is 4
Answer:
6Step-by-step explanation:
Let the unknown number be x
\(x - 2 = 4\)
Collect like terms and simplify
\(x = 4 + 2 \\ x = 6\)
If 2 is subtracted from 6, then the result will be 4.
What is Subtraction?In math, subtraction is the method of calculating the difference between two or more numbers. For example, the difference between 10 and 4 is equal to (10 - 4) = 6
Given is the statement → If 2 is subtracted from a number the result is 4.
Assume that the number is x.
If 2 is subtracted from this number, we get →
x - 2
From the question -
x - 2 = 4
On solving for x, we get -
x - 2 = 4
x = 4 + 2
x = 6
Therefore, if 2 is subtracted from 6, then the result will be 4.
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Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
At a restaurant levys total bill is 46 bucks, if he wants to tip 15 percent how much should he leave as a tip?
Is this pattern a net for the three-dimensional figure?
PLEASE HELP LOL I WILL MAKE BRAINLIEST!!
Answer:
Yes
Step-by-step explanation:
The dimensions are 4x2x2
You can just tell if you fold it up, lol.
But I like to say a rectangular prism reminds me of a cross(please don't call me a Jesus Freak). This one if you rotate 90* right, it looks like a cross.
a. Is either student correct? Explain.
Copy
Cut
Paste
yes -4.3<-2.91<5.7 this one is true
How is it true
Answer:
i don't really know your answer needs to be more simple ad a picture
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?
Answer:
$1000
Step-by-step explanation:
Inverse operation
2100-100=2000
2000/2=1000
Sorry if its wrong but hope this helpssss
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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