hey i need help a sap
Answers
Answer:
1. f(x)=1-1/2
4. y=10x
5. yes
Step-by-step explanation:
1)
f(x) = 4(2 + 3x) + 3 is a linear function.
2)
The slope of the function is 6.
3)
The linear function is (1/2)x - 4.
4)
y = x² + 2 is not a linear function.
5)
No, it is not a linear function.
6)
Graph D does not represent a linear function.
7)
Graph B does not represent a linear function.
8)
Table D is a linear function.
9)
Table B is not a linear function.
10)
3x + 2y = 6 is a linear function.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
1)
f(x) = 4(2 + 3x) + 3
f(x) = (1/2)x² - 5
f(x)= 5 - x²
f(x) = 1 - 1/x
The graph of each function is given below.
The red line in the graph represents f(x) = 4(2 + 3x) + 3.
This is a straight line which means it is a linear function.
2)
f(x) = 2(3x - 7)
f(x) = 6x - 14
It is in the form of y = mx + c where m is the slope.
So,
m = 6
3)
f(x) = (1/2)x - 4
f(x) = x³ - 2
The graph is given below.
The red line represents f(x) = (1/2)x - 4.
This is a linear function.
4)
y = 3x + 12
y = x² + 2
y = 10x
y = 9
The graph is shown below.
The green curve is y = x² + 2.
This is not a linear function.
5)
y = 2x² - 6
This is not a linear function because we have x².
The graph is given below.
6)
Graph D represents a non-linear function.
7)
Graph B represents a non-linear function.
8)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table D has the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
= (4 - 7) / (-1 + 2)
= -3/1
= -3
Table D is a linear function.
9)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table B does not have the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
Table B is not a linear function.
10)
The green line on the graph represents a straight line.
The green line is a linear function.
The green line is 3x + 2y = 6.
Thus,
The answers are given above.
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Related Questions
What is line segment Theorem?
Answers
Line segment theorem states that if a line segment is bisected by another line, then the two parts of the line segment are equal.
This theorem is also known as the Midpoint Theorem. The formula for the Line Segment Theorem is A/B = C/D, where A and C are the two halves of the line segment, and B and D are the distances from the midpoint to the two endpoints of the line segment.
For example, consider a line segment AB with endpoints at A(-3, 2) and B(3, 2). The midpoint of the line segment is at (0,2). To calculate the length of each half of the line segment, we would use the distance formula and plug in the coordinates of the two endpoints and the midpoint.
For half A, the distance is d(A, M) = sqrt[(-3 - 0)^2 + (2 -2)^2] = 3.
For half C, the distance is d(M, B) = sqrt[(3 - 0)^2 + (2 -2)^2] = 3.
Therefore, A/B = 3/3 = 1 and C/D = 3/3 = 1. This confirms that the two halves of the line segment are equal in length.
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Can you help me with this
Answers
3 -(-9) =12
6-(8) =-2
12/-2=
the slope = -6/1
Explain how the quotient was determined.
Answers
convert 11.011 to a base 10 number
Answers
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
How to covert binary number to decimal number?Once the bits of the binary number have been multiplied by the corresponding positional weights, the binary number can then be converted into its corresponding decimal number by adding the resulting products.
To convert a number in base 2 (binary), base 8 (octal) or base 16 (hexadecimal) to a base 10 (decimal) number, you can use the following method:
Write the number in base 2, 8, or 16 and the corresponding base 10 place values.
Multiply each digit by its corresponding place value and add the results.
For example, to convert the base 10 number 11.011 to a base 10 number:
Write the number and the corresponding base 10 place values: 11.011
Multiply each digit by its corresponding place value and add the results: 11 + 0.011
11.011 = 11 + 0.011 = 11.011
As the number is already in base 10, it does not need to be converted. The value is 11.011
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What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal
Answers
There is a 0.0001 percent chance that the average amount of cereal in these boxes is less than 9.65 ounces.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The probability is a metric for determining how likely an event is to occur. It gauges the event's degree of certainty. The probability formula is presented as follows: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.Given that,
Mean µ = 9.70
Sample size = n = 5
standard deviation = σ = 0.03
Its distribution is normal, therefore
σx = σ/
σx = 0.03
σx = 0.0134
We must now determine the z value in order to use the table.
z = (x - µ) ÷ σ
z = (9.65 - 9,70) ÷ 0.0134
z = -3.73
Now
From the probability index tables
So P (z ≤ - 3.73) = 0.0001
Hence, the correct option is e) 0.0001
The complete question is:
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
a. 0.4525
b. 0.9522
c. 0.9999
d. 0.0478
e. 0.0001
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Alana and Petra go to a ued book ale , where every book i the ame price. Alana buy 4 book and Petra buy 2 book. They run into their friend angu, who really love to read, and dicover that he ha bought 16 book. Angu received a $15 dicount, but he till pent $5 more than Alana and Petra combined. How much doe one book cot?
Answers
A book cost $2.00.
What are variables in maths?In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.
What are the 2 basic types of variables?Variables may be classified into two main categories: categorical and numeric. Each category is then classified in two subcategories: nominal or ordinal for categorical variables, discrete or continuous for numeric variables.
Given the no of books purchased by
Alana =4
Petra =2
Angus = 16
So, the total price of 4 books of Alana =$4
Total price for Petra = $2
Total price of Alana and Petra =4x+2x
=6x
Total price for Angus = 16x
But given Angus received a discount of $15
So price post discount = 16x- 15
According to the question
16x-15 = 6x +5
Adding 15 both sides
16x +15-15 = 6x + 5+15
16x= 6x+20
Subtracting 6x both sides
16x - 6x = 6x - 6x + 20
10x = 20
i.e x=2
Cost of one book = $2
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Which triangles are congruent by ASA?
ABC and TUV
VTU and ABC
VTU and HGF
none of the above
Answers
what value of x would prove that the following triangle is a right angle? Answers x=7 x=2 x= 14 x= 10
Answers
Step-by-step explanation:
Pythagoras' TheoremFor Pythagoras' Theorem to be valid, the triangle must be a right-angled one.
The formula is:
c^2 = a^2 + b^2
Where c is the longest side. While a,b are the side lengths.
SolutionUsing the above formula and the measurements given in the question, we can find the value of x.
By Pythagoras' Theorem,
26^2 = (5x)^2 + (12x)^2
676 = 25x^2 + 144x^2
169x^2 = 676
x^2 = 676 ÷ 169
x^2 = 4
x = 2
solve the following equations for values of theta between 0 degrees and 360 degrees. 1. 2tan^2 theta - 7 sec theta + 8 = 0
Answers
The angles associated to the trigonometric equation 2 · tan² θ - 7 · sec θ + 8 = 0 are θ₁₁ ≈ 131.810°, θ₁₂ ≈ 228.190°, θ₂₁ ≈ 120° and θ₂₂ ≈ 240°.
How to solve a trigonometric equation
In this question we find a trigonometric equation, that is, an equation involving trigonometric functions, that must be solved for the interval between angles of 0° and 360°. This can be done by algebra properties and trigonometric formulas.
First, write the complete expression:
2 · tan² θ - 7 · sec θ + 8 = 0
Second, use trigonometric formulas and algebra properties to reduce the number of trigonometric functions within the equation:
2 · sin² θ / cos² θ - 7 / cos θ + 8 = 0
2 · sin² θ - 7 · cos θ + 8 · cos² θ = 0
2 - 2 · cos² θ - 7 · cos θ + 8 · cos² θ = 0
6 · cos² θ - 7 · cos θ + 2 = 0
Third, use algebraic subtitution and quadratic formula to determine the roots of the quadratic-like equation:
6 · u² - 7 · u + 2 = 0
u = - 7 / (2 · 6) ± [1 / (2 · 6)] · √[(- 7)² - 4 · 6 · 2]
u = - 7 / 12 ± (1 / 12) · 1
u = - 7 / 12 ± 1 / 12
There are two possibilities:
u₁ = - 2 / 3, u₂ = - 1 / 2
Fourth, find the angles associated to roots by inverse trigonometric functions:
u₁ = - 2 / 3
θ₁₁ ≈ 131.810°, θ₁₂ ≈ 228.190°
u₂ = - 1 / 2
θ₂₁ ≈ 120°, θ₂₂ ≈ 240°
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How to graph 4x-6y=36
What’s the x intercept
What’s the y intercept
Answers
Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).
Clarify the equationA depiction of two equal variables, one on either side of a "equals" sign, is what constitutes an equation in mathematics. To solve common issues, one can use equations. We frequently look for help with pre algebra to overcome obstacles in real life. Basic mathematical concepts are covered in pre-algebra lessons.
Here,
the x-intercepts,
In order to determine the x-intercept(s), put in for y and calculate 4x6y=36.
Make the equation work.
x=9 point form x-intercepts.
x-intercept(s): \s(9,0) (9,0)
the y-intercepts, please.
In order to determine the y-intercept(s), replace with and solve for y=.4(0-)6y=36.
Make the equation work.
To continue, tap.
Point shape y=6 y-intercept(s).
The y-intercept is (0, 6).
Write down the junctions.
x-intercept(s): (9,0)
The y-intercept is (0, 6).
Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).
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Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%. Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.
Answers
The range of the amount Tyrese makes each hour if he can only work a total of 8 hours is 20 ≤ x ≤ 24.80
What is a range?The range is the space between the highest and lowest numbers.
Given: Tyrese works every day and gets paid more per hour the more time he puts in. Create a function to represent a starting wage of $20 that rises by 3% each hour.
To find: Establish the range of Tyrese's hourly pay if he can only work a total of 8 hours.
The beginning wage is $20.
Suppose x hours are in a day.
A $20 salary is offered, with a 3% hourly raise.
e.g., increment = (3/100)*20*x = (3/5)x
A function's maximum possible earnings are
y = 20 + (3/5)x
He is only allowed to work a total of 8 hours, per our instructions.
Therefore, the most money she can make in 8 hours is
y = 20 + (3/5)*8
y = 20 + 4.8
y = 24*8
$20 is the first sum.
As a result, if Tyrese can only work a total of 8 hours every day, the range of his hourly wage is .
Therefore, the correct answer is option B) 20 ≤ x ≤ 24.80.
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What is the mole of H2?
Answers
One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
What is mole?A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.
The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
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How do you write an x-intercept as a point?
Answers
The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.
The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
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A student-athlete can run 10 yards in 6 seconds. Which equation shows the number of yards that can be run in s seconds
Answers
The equation for the maximum number of yards per second that can be run is y = 5/3 s.
Define the term Direct Variation?Two quantities are said to be fluctuating directly if they are coupled in a way that an increase for one quantity suggests an increase in the other and a drop in one implies a decrease in the other. The direct variation equation, which connects the two values y and x, looks like this: y=kx, where k is the variational constant.A direct variation measurement between distance covered and time taken can be composed as:
y=kx,
where,
y stands for the number of yards, s stands for the number of seconds, and k is really the constant of variation.This is because the athlete's distance travelled directly varies with the amount of time it takes.
Find k using the given values:
y=kx,
10 = k(6)
k = 10/6
k = 5/3
As a result, the equation for the maximum number of yards per second is y = 5/3 s.
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simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
Answers
The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
What is simplification?Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Given that, simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
1) 2(y-1) / 3 - 3(y-2) / 4 = 1
Multiplying by 12 to both sides,
8(y-1) - 9(y-2) = 12
8y-8 - 9y+18 = 12
-y + 10 = 12
y = -2
2) 3x = 44 / 5 = 2x+6
3x = 44 / 5
Multiplying by 5 to both sides,
15x = 44
x = 44 / 15
or,
44 / 5 = 2x + 6
Multiplying by 5 to both sides,
44 = 10x + 30
14 = 10x
x = 7 / 5
Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
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Solve for x: -24 = 6x
Answers
Answer:
x = -4
Step-by-step explanation:
Solve for x: -24 = 6x
-24 = 6x
x = -24 : 6
x = -4
---------------------
check
-24 = 6(-4)
-24 = -24
the answer is good3+ T/2 = 35  (Solve for T)
Answers
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
Define a linear equation.Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : 3+ T/2 = 35
thus,
=> 3+ T/2 = 35
=> T/2 = 35-3
=> T/2 = 32 *2
=> T= 64
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
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How do you find the slope of two points on a graph?
Answers
To find the slope of two points on a graph, use the formula:
[tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
Substitute the coordinates of the two points into the formula and solve for the slope.
Finding the Slope of Two Points on a GraphThe slope of two points on a graph is a measure of how steep the line connecting the two points is. To find the slope, you can use the slope formula: [tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
This formula requires the coordinates of the two points, which can be found on the graph. Once you have the coordinates, you can substitute them into the formula and solve for the slope. This will give you the slope of the line connecting the two points.
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what's 1/2r+3<6 two step inequalities
Answers
Answer:
r < 6
Step-by-step explanation:
[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]
[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]
[tex] \implies \dfrac{r}{2} < 3[/tex]
[tex] \implies r < 3 \: \cdot \: 2[/tex]
[tex] \implies \underline{ r < 6}[/tex]
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Answers
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
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The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?
Answers
Answer:
If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.
Step-by-step explanation:
Please hurry it's timed i need help
Answers
The solution of the given function cosx - √(3 - 3cos³x) = 0 is C. 30° + 360° n, 330° + 360°n
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are given the function as;
cosx - √(3 - 3cos³x) = 0
cosx = √(3 - 3cos³x)
Taking square root on both sides.
cos ²x = √(3 - 3cos³x) ²
cos ²x = (3 - 3cos³x)
For solving for x in
cos ²x = (3 - 3cos³x)
cos ²x = 3 (1 - cos³x)
(1 - cos³x) = cos ²x/3
x= π/6 + 2πn
or
x=11π/6 + 2πn
where n is an integer.
30° + 360° n, 330° + 360°n
The correct answer is C.
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The sum of three segments measures 82 cm. The first is 4/9 of the second and the third exceeds the second by 16cm. Calculate the size of each segment.
Please help it’s for tmr
Answers
Answer:
12 cm27 cm43 cmStep-by-step explanation:
You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.
EquationsWe can describe the relationship by the equations ...
a + b + c = 82
a = 4/9b
c = b +16
SolutionThe equations give each segment in terms of the second one, so we can substitute those relations into the sum:
(4/9b) +b +(b +16) = 82
22/9b = 66
b = 66(9/22) = 27
a = (4/9)(27) = 12
c = 27 +16 = 43
The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.
__
Additional comment
We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:
a +b +c = 829a -4b = 0-b +c = 16The solution is shown in the attachment: a=12, b=27, c=43.
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.
Answers
The height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3
We can start by using the formulas for the surface area of a sphere and the curved surface area of a cone. The surface area of a sphere is given by 4 * pi * r^2, where r is the radius of the sphere. The curved surface area of a cone is given by pi * r * l, where r is the radius of the base of the cone and l is the slant height of the cone.
Given that the surface area of the sphere is five times the area of the curved surface of the cone, we can write the following equation:
4 * pi * (5^2) = 5 * pi * r * l
We can then solve for the slant height l of the cone:
l = (4*5^2) / r
Given that the radius of the cone is 4 cm, we can substitute this into the equation and solve for l:
l = 100/4 = 25cm
The volume of the cone is 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.
As we know the slant height and radius of the cone, we can use the Pythagorean theorem to find the height of the cone:
h = sqrt(l^2 - r^2) = sqrt(25^2 - 4^2) = sqrt(625 - 16) = sqrt(609) = 24.6cm
Therefore, the height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3
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I want to know how to get the GCF and LCM of 8,24,48
Answers
Answer:
GCF = 8
LCM = 48
Step-by-step explanation:
What’s the formula to find principal please tell me please
Answers
Answer:
Step-by-step explanation:
(100xInterest)(RatexTime)
hope this helps
Step-by-step explanation:
The formula for calculating Principal amount would be P = 100I / (RT) where Interest is Interest Amount, R is Rate of Interest and T is Time Period.
Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point
Answers
Shortest distance between start and end point is 55.9 miles
According to given statement,
Terry had to travel south 50 miles and then west 25 miles.
We are taking X as a start point and Z is end point.
In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]
XY = 50 miles
YZ= 25 miles
XZ^2 = XY^2 + YZ ^2
XZ^2 = (50) ^2 + (25) ^2 = 3125
XZ = 55.9
Shortest distance between start and end point is 55.9 miles
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Dalis' employer pays $2,150 in health insurance and $86
in life insurance per year. She also gets $3,520 in paid time
off per year. Her monthly gross pay is $4,370. What are
Dalis' total job benefits?
Answers
Answer: chiki
Step-by-step explanation:
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanteho purchase as many DVDs as possible, which values of x and y could represent the number of new
release and classie movies bought?
O x= 8, y = 45
O x= 10, y = 22
O x = 16. Y = 22
Ox= 18, y=18
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Answers
The Correct answer is option (C) x = 16. Y = 22 . number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .
What is linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
Given,
To find the values of X and Y,
Let x = number of new releases
Let y = number of classics.
The equation to solve the question is ,
20x + 8y = 500
When x= 16 and y = 22
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is x= 16, y = 22
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Mario has 3/4 cups of chocolate chips needs 1/3 cup to make a batch of cookies how many batches can Mario make if he uses all of his chocolate chips
Answers
In the given equation, Mario can make 2.25 batches of cookies using all of his chocolate chips.
How to find the given equation?First, you can find out how many total cups of chocolate chips Mario has by multiplying the number of cups per unit (3/4) by the number of units (1).
[tex]3/4 cups * 1 = 3/4 cups\\[/tex]
Then you can divide the total amount of chocolate chips Mario has by the amount of chocolate chips needed per batch:
[tex]3/4 cups / 1/3 cup/batch = 3/4 cups * 3/1 cup/batch = 9/4 cups/batch[/tex]
Finally, you can convert this to a whole number by dividing both the numerator and denominator by their greatest common factor, which is 1:
[tex]9/4 cups/batch = (9/1) / (4/1) = 9/4 = 2.25 batches[/tex]
Mario can make 2.25 batches of cookies using all of his chocolate chips.
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