The number of bottles of mustard they went through is given by the equation A = 1/6 of the bottle
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of bottles of mustard be represented as A
Now , the equation will be
The amount of ketchup used by Camille's Snack Shack = ( 1/4 ) of the bottle
Now , the amount of bottle of mustard used = ( 2/3 ) of the bottle of ketchup
Substituting the values in the equation , we get
The number of bottles of mustard used A = ( 2/3 ) of ( 1/4 ) of the bottle
On simplifying the equation , we get
The number of bottles of mustard used A = ( 2/3 ) x ( 1/4 )
The number of bottles of mustard used A = ( 1/6 ) of the bottle
Therefore , the value of A is 1/6
Hence , the number of bottles is 1/6
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5. Katie has 15/20 of a dollar in her pocket. Lisa has the same amount of money in
her pocket. What fraction of a dollar does Lisa have in her pocket?
A. 5/10 B. 3/4
C. 4/5 D. 2/10
Answer:
Step-by-step explanation:
it B.
just put in the calculator and it gives you the reduced fraction
Answer:
B. 3/4
Step-by-step explanation:
Find the GCD (or HCF) of the numerator and denominator
GCD of 15 and 20 is 5
Next, divide both the numerator and denominator by the GCD
15 ÷ 5 = 3
20 ÷ 5 = 4
Finally, put them back into a fraction
[tex]\frac{3}{4}[/tex]
Therefore, 15/20 simplified to the lowest terms is 3/4.
45 POINTS -Find the perpendicular line. Don’t explain
By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)
How to find the equation of a line perpendicular to another line
According to analytical geometry, lines are described by polynomials of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:
m · m' = - 1
Where:
m - Slope of original line.m' - Slope of perpendicular line.First, determine the slope and intercept of the original line:
(x, y) = (0, 1)
1 = m · 0 + b
b = 1
(x, y) = (2, 0)
0 = m · 2 + b
2 · m + b = 0
m = - b / 2
m = - 1 / 2
Second, calculate the slope of the perpendicular line:
m' = 1 / (- 1 / 2)
m' = - 2
Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.
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Help!! Stuff about triangles
Answer:
3
Step-by-step explanation:
Since [tex]\angle A \cong \angle A[/tex] by the reflexive property and [tex]\angle ABC \cong \angle ADE[/tex] since they are both right angles, [tex]\triangle ABC \sim \triangle ADE[/tex] by AA.
It follows that:
[tex]\frac{x}{9}=\frac{5}{9+6} \implies x=3[/tex]
How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3
It takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
In Math's or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
It is also said to be a regular hexahedron.
We will convert the dimensions of the given box into simple fractions for easy calculations.
The dimensions of the given box:
Length = 3 + 1/3 inches = 10/3 inches
Breadth = 2 + 2/3 inches = 8/3 inches
Height = 2 + 1/3 inches = 7/3 inches
The side of each cube = 1/3 inches
Therefore,
The no. of cubes required to fill the box is,
= (volume of the box) / (volume of each 1/3 inch cube)
= ( 10/3 * 8/3 * 7/3 ) / (1/3)^2
= 10 * 8 * 7
= 560
Thus, it takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
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What is seed calculator?
Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.
Step-by-step explanation:
Figure ABCD is a parallelogram if point C lies on the line y=-1 what is the x vale of point C
The value of x of point C is 4. The coordinate of C is (4,-1).
What is the coordinate of a point?
The coordinates represent the location of a point in the 2D coordinate plane with respect to the origin. A point's x-coordinate is its perpendicular distance from the y-axis as measured along the x-axis. A point's y-coordinate is the perpendicular distance from the x-axis measured along the y-axis.
The distance between points A and B is 4 units.
The opposite sides of a parallelogram are equal and parallel.
To make parallelogram, the point C lies on the left side of point D.
The distance between point C and D must be 4 unit.
The coordinates of C is (4,-1).
The x value of point C is 4.
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27/3 TO A WHOLE
NUMBER
Answer:
9, after being converted to a mixed number
Step-by-step explanation:
Just divide 27 by 3, it’ll equal 9
yw :)
hope i helped, reach out if it’s wrong (it’s not lol)
Have a great day :3
Answer: 9
Step-by-step explanation:
since fraction means we divide the numerator by denominator, we divide 27 by 3
⇒27/3
⇒27 ÷ 3
⇒9 answer
hope that helps ...
The quotient of 25 and 5 increased by 3
Answer: 8
Step-by-step explanation: Based on the given conditions, formulate 25/5+3 Reduce the sum or difference: to 8 therefore the answer is 8
Answer:
down below
Step-by-step explanation:
The quotient means the total amount that comes from dividing two things. In this case, the problem is asking for 25 and 5 to be divided. 25 divided by 5 is 5. You can check this by multiplying 5 and 5 to get 25. So, you know it's right. Now, take 5 and add 3 to it. 5 + 3 = 8. So, the answer is 8.
Hope this helps! :)
how to get the Y intercept when you don't have a 0 X coordinate?
Answer: You plug in y as 0 into your equation.
Step-by-step explanation:
Do the above thing OK.
Please help me really fast
Answer:
Step-by-step explanation:
(0,-7) is the correct one. How I got this answer is cheese.
What do the stage directions in this example most clearly show about the
character Darius?
DARIUS. [Hunched over, his gaze darting around the room, and
shouting into his phone] You better give me my money back or else.
[Indistinct sounds from the phone]
DARIUS. [Trembling and wiping sweat from his forehead That's right.
I'm your worst nightmare.
[Indistinct sounds from the phone]
A. Darius fakes being tough but is actually nervous.
B. Darius is somebody who demands what he wants.
C. Darius can't understand the person he's talking to.
D. Darius has plans but is too lazy to achieve them.
In addition to describing a character's appearance and movement on stage, stage directions also describe the sound and visual effects of the surroundings.
What is the meaning of stage direction?Stage directions may include phrases like "Katy enters the room" and "The man deals a deck of cards." They describe what the characters in the scene are doing.
Stage direction is also evident in statements about the setting, like "the early sunlight floods the space." The stage directions specify how a character will look, where they will move on the stage, and how the surroundings will sound and seem.
The links between things, characters, and locations in a book are made clear to the reader by stage directions, which also provide important details about the action. Stage directions are given by actors on the stage. "Stage right" is the area to the audience's left.
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Stage directions include things like "The man deals a deck of cards" and "Katy enters the room."
What is stage direction?Examples of stage instructions include "The man deals a deck of cards" or "Katy enters the room." In the scene, they describe how the characters move. Stage direction can also be demonstrated by describing the environment, such as "the early sunlight floods the space."
What a character looks like, where they go in the stage, and how the setting sounds and appears are all revealed in the stage instructions. The relationships between persons, things, and places in a text are described in great detail in stage directions.
To this day, the connotation remains unchanged. The three zones Upstage (in the back of the stage), Centerstage (in the middle), and Downstage are present in every theatre (front of the stage).
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Write two equations that can be solved using the double 7+7
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
What is Doubles plus ?When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one
A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
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Kourtney and Kayla are sisters who are taking the same classes this semester: MAT 003, CHM 131/3131A, and ACA 122. If kourtney earns a pee a P in MAT 003, a B in CHM 131A, and an A in ACA, then what will her GPA be?
A. 3. 5
B. 3. 2
C. 2. 58
D. 3. 8
the GPA for the current semester will be 3.5.
What is GPA?
A metric used to assess your performance throughout the course of your complete degree program is your grade point average.
The average grade point average (GPA) is a figure that represents your typical performance in classes over the course of a semester, term, or year. In line with how much you raise your overall grade point average over your time at the university, your typical GPA score will fluctuate (or, in some cases, how much you fall behind).
A pass grade is a P, an A is a grade of excellent performance worth 4 points per credit, and a B is a grade of good performance worth 3 points per credit. The grade averages do not take P grade into account.
MAT 003, CHM 131a, and ACA 122 each have three, one, and two credits. Thus, the final score is 3 + 1 + 1 = 5. P in MAT 003, B in CHM 131a, and A in ACA 122 are the grades she receives.
GPA can be calculated by
GPA = ( 3 × 1 + 4 × 1)/ 5
GPA = ( 3 + 4)/ 5
GPA = 3.5
Hence the GPA for the current semester will be 3.5.
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how do i solve this problem 5.50h=44
Answer:
h = 8
Step-by-step explanation:
5.50h=44
Divided both sides by 5.50
h = 8
Let's check
5.50(8) = 44
44 = 44
So, h = 8 is the correct answer!
The equations represent the heights, y, of the flowers, in inches, after x days. Which ordered pair (1,2.2)(1 ,2.5) or (0 ,1) is a solution to the system? Will the flowers ever be the same height? Explain. The 2 equations are y= 1.5x+1 and y= 1.2x+1
Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same height at x = 0. And (0,1) is the solution to the system of equation
How to Know Solution to a System of EquationTo know the solution of a system of equation, the two equation can be solved simultaneously.
Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1
Equate the two equations to get x
1.5x + 1 = 1.2x + 1
collect the like terms
1.5x - 1.2x = 1 - 1
0.3x = 0
x = 0
Substitute x in any of the equation.
y = 1.5(0) + 1
y = 1
Yes! The flower will be of the same height at x = 0.
Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.
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The regular polygon below is to be rotated about its center. Which angle of rotation
would carry the figure onto itself?
Answer choices:
324°
150°
225°
300°
The shape of a decagon will remain the same when it is rotated through
its angle of rotational symmetry.
How to find the rotation?
The rotation about the center will carry a regular decagon back to itself is 36°.
Note the following
The angle of rotational symmetry of a decagon is the smallest angle that a decagon can be rotated by such that the image formed by the rotation coincide with the preimage;
A decagon has 10 sides, the interior angle of a regular decagon is given as follows;
Each interior angle = (n-2)*180/10 = 144⁰
A decagon has a reflective symmetry, therefore, the lines of symmetry joining opposite vertices are straight lines.
The number of diagonals in a decagon = 5
Rotating through the vertex and opposite vertex of the diagonals gives the number of image of the rotation that is similar to the preimage of a decagon as ten.
Therefore, a rotation of (360/10) = 36⁰, about the center will carry a regular decagon back to itself.
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Is Y 0 a horizontal line?
As per the following graph, if y = 0,then it makes the horizontal line on graph.
The term graph in math is defined as the visual representation of data or equation.
Here we have given that the value of y = 0.
Here we know that the slope of a horizontal line is zero while the slope of a vertical line is undefined.
Here the following Slopes represent a line's ratio of vertical change to horizontal change.
Whereas horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines.
Here we have also know that the Horizontal lines have no steepness at all.
Therefore if y=0 is the linear equation to denote the x - axis, then all the points on the x- axis, have their y co-ordinate as 0.
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Using a number line, find both the intersection and the union of the following
intervals:
[1, 5] and (0,8]
pls help !
Answer:
The union of the intervals is (0,8]
The intersection of the intervals is [1,5]
Hope this helped!
What is a 120 angle called?
An angle that measures 120 degrees is called an obtuse angle.
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.
An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.
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Determine which branch of statistics was used to make the following statement. In an online survey of 500 Virginia Tech students between spring 2010 and spring 2011, 3190 said that they had missed class because of alcohol consumption. A) differential statistics C) inferential statistics B) time series statistics D) descriptive statistics
The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.
Which are the different branches of statistics?
The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.
The process of gathering data is what data collection is all about.The area of statistics known as descriptive statistics deals with how we present the data we have. Basically, this can be done in one of two ways: either visually (using graphs, charts, etc.) or quantitatively (via averages and so on).The part of statistics that deals with drawing inferences from the data is called inferential statistics.For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.
Therefore the branch of statistics that was used to make the above statement is descriptive statistics.
Hence Option(d) is correct.
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Olivia tries to cut a piece of metal 45 inches long the piece of metal ends up being 43. 5 inches long what is the approximate orecent error in this situation
When Olivia tries to cut a piece of metal 45 inches long, the piece of metal ends up being 43.5 inches long, then there is an approximate percent error of 3.33% in this situation.
Therefore the answer is 3.33%.
To calculate the approximate percent error in this situation, we can use the formula:
Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) x 100
In this case, the experimental value is 43.5 inches and the theoretical value is 45 inches. Plugging these values into the formula, we get:
Percent Error = (|43.5 - 45| / 45) x 100
= (1.5 / 45) x 100
= 0.033 x 100
= 3.33%
So the approximate percent error in this situation is 3.33%.
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Write 4.2 as a mixed number and as an improper fraction.
Write your answers in simplest form.
0
improper fraction: 0
mixed number:
믐
8 0.8
X
As a mixed number, 4.2 can be written as 4 + 2/10.
As an improper fraction, 4.2 can be written as 21/5.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
What is a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Since 4 + 2/10=4.2 so as a mixed number, 4.2 can be written as 4 + 2/10.
Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.
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Annie bought a brand new car for $32,000. The car is now worth $21,000.
(This is percent over change!!)
Using percentages we know that the value of a car decreases by 34% on average.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.
A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
The symbol "%" is frequently written after the number to indicate percentages.
So, we know that:
Annie brought a car at: $32000
Current price of the car: $21000
The decline in car percentage:
21000/32000 * 100
65.625%
⇒ 100 - 65.625 = 34.375%
Rounding off: 34%
Therefore, using percentages we know that the value of a car decreases by 34% on average.
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Complete question:
Annie bought a brand-new car for $32,000. The car is now worth $21,000.
By what percentage does the car's worth decrease?
To the nearest pound, Tim has £8
To the nearest 50p, Sue has £4. 50
Work out the maximum possible total amount of money.
Give your answer in pounds (£).
The maximum possible total amount of money would be = 13.23 £
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
To the nearest pound, tim has £8
To the nearest 50p, sue has £4.50
so, to the nearest pound, tim has £8
=> 7.5 ≤ Tim has < 8.5
sue has £4.50
to the nearest 50 p
=> 4.25 ≤ Sue < 4.75
=> possible total amount of money
= 7. 5 + 4.25 ≤ Amount < 8.5 + 4.75
=> 11.75 ≤ Amount < 13.25
maximum possible total amount of money would be less than 13.25
and in term of paisa maximum < 4.75 = 4.74
and maximum less than < 8.5 = 8.49
Hence maximum possible total amount of money would be = 13.23 £
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Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 112.
x+4
The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x< 26.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
perimeter of a rectangle = length + length + width + width
length + length + width + width = perimeter of a rectangle
(x +4) + (x+4) + x + x < 112
x + 4 + x + 4 + x + x < 112
4x + 8 < 112
4x < 104
x < 26
So ,The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x< 26.
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Pepito bought 2 t-shirt at 149.95 each and a pair of pants for php 30.75, if her money was a 200 pesos bill. How much was her change?
If pesos had it would be so pesos have 169.25 dollars left 200-30.75=169.25
how many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 1/3 inches, and height 1 2/3 inches?
The number of 1/3 inch cubes that will fill the box is 26.
Volume of an object.The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.
Given a cube of length 1/3 inch. The volume of the cube can be determined as;
volume of a cube = length x width x height
The volume of the cube = 1/3 * 1/4 * 1/3
= 1/9 cube inches
The volume of the box can be determined as;
Volume of the box = length x width x height
= 1 1/3 * 1 1/3 * 1 2/3
= 2.963 cubic inches
Volume of the box = 2.963 cubic inches
The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)
= 26.667
The number of 1/3 inch cubes that will fill the box is 26.
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A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter
Answer:
y=4x+12
Step-by-step explanation:
if a line is parallel to another they have the same slope ,,
y=mx+c
where m represents the slope
and c represents the intercepted part of y axis
so the slope equals 4 from y=4x+11
to find the intercepted part c ,, substitute by the given point in the equation y=mx+c
(-2,4),, and slope is 4
4= 4×-2+c
4= -8+c
c= 12
so the equation is
y=4x+12
Answer:
y =4x-18
Step-by-step explanation:
y +2 = 4(x - 4)
y +2 =4x-16
y = 4x-18
3) Breanna thought of a number, subtracted 4 from it, and then multiplied her answer by 3. She got
a final number of 24. What was her starting number?
Q 23
Regina writes the expression y + 9
Which expression is equivalent to the one Regina writes?
A) (9. 3 • 4) + y
B 9+ y (3 = 4)
© (y + 9)(3 = 4)
None of these
The expression written by Regina is y + 9, which means adding nine to some number y. None of the given expressions are equivalent to this expression.
The expression written by Regina is y + 9, which means adding nine to some number y. None of the given expressions are equivalent to this expression. In order for two expressions to be equivalent, they must have the same value when the same values are plugged into them. For example, if y is equal to 5, then y + 9 would be equal to
14, while (9. 3 • 4) + y
would be equal to
27, (9+ y (3 = 4))
would be equal to 17, and
(y + 9)(3 = 4)
would be equal to 21. As these values are not equal, the given expressions are not equivalent to the one written by Regina.
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