In the case of a 24-pack for $5. 49, the cost of the unit is the lowest.
The cost per item is nothing to the amount of money invested in buying one item.
As we have 3 different scenarios:
Case A. 6- pack for $2. 49
As here. cost of 6 packs is $2.49, so for determining the cost of one pack we will divide $2.49 by 6.
So, the cost of 1 pack will be = 2.49/6 = 0.415 $/pack
B. 12-pack for $3. 99
As here. cost of 12 packs is $3.99, so for determining the cost of one pack we will divide $3.99 by 12.
So, the cost of 1 pack will be = 3.99/12 = 0.3325 $/pack
C. 24-pack for $5. 49
As here. cost of 24 packs is $4.49, so for determining the cost of one pack we will divide $5.49 by 24.
So, the cost of 1 pack will be = 5.49/6 = 0.22875 $/pack
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For the function
[tex]f(x)=x^2-2x-8\\[/tex]
Find the equation of the line of symmetry.
no links please and thank you! Please help ASAP! Will give Brainliest!
Answer:
x = 1
Step-by-step explanation:
For a quadratic function [tex]f(x)=ax^2+bx+c[/tex], the axis of symmetry is
[tex]x=-\frac{b}{2a}[/tex].
This comes from using part of the Quadratic Formula for finding zeros of the function:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}[/tex]
See the -b/(2a) in the first term? That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function. The axis of symmetry goes through the vertex.
WILL GIVE BRIANLIST
:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.
What was the average temperature for the day?
Responses
−3°F
negative 3 degrees F
−1°F
negative 1 degrees F
1°F
3°
Answer:
Step by step explanation:
To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).
This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.
Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.
So, your final answer is:
The average temperature for the day was 1°F
Multiple Choice: Choose the best answer for each question.
6 cm
4. Find the area of the kite at the right.
11 cm
1 cm
a. 72 cm
c. 144 cm
b. 396 cm
d. 33 cm
Answer:
The area of the kite at the right is 72
For each expression, write an equivalent expression in standard form. Show your reasoning. (x-2) (x+2)
please help!
Answer: x^2-4
Step-by-step explanation:
(x-2)(x+2)
x^2-2^2
x^2-4
What is the measure of arc FH?
Answer:
140
Step-by-step explanation:
The measure of arc of FH is 140.
What is Arc?The arc of a circle between two distinct locations is known as a circular arc.
One of these arcs, the minor arc, subtends an angle at the circle's center that is less than radians (180 degrees), and the other arc, the major arc, subtends an angle higher than radians if the two points are not exactly opposite one another.
A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that joins the two ends of the arc. A semicircular arc is one whose length is exactly half that of a circle.
Therefore, The measure of arc of FH is 140.
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Zeke drove 143miles in 3 hours. What is his average rate of speed (m
please help i need to get a good grade but i’m stuck
Answer:
47.6667 mph
Step-by-step explanation:
143 divided by 3=147.6667
- if you want to round it then use 47.7 mph
Answer:
47.7 mph
Step-by-step explanation:
His average rate (speed) is
143 miles
s = -------------------- = 47.7 mph
3 hours
If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results
Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .
What do you mean by probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.
What do you mean by false positive results?A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.
p=probability of occurrence
q=1-p
P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)
P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)
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if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds
Time taken to cross the field will be 3.36 seconds.
What does physics mean by speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.
Solution,
Given,
speed=60 mph
length of football field=0.056 miles
time taken to cross it = distance/speed
time=0.056/60=0.00093 hour = 3.36 seconds.
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Reuben bought 6 boxes of chocolates. Each box cost $7.36. How much did he spend?
Answer:
$44.16 he spent on chocolate
Ivan is a software salesman. His base salary is $2400, and he makes an additional $110 for every copy of History is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of coples of History is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 24 coples of History is Fun.
The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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Geometry questionnn! Please help
Answer:
d
Step-by-step explanation:
you need to match up the sides, heres a drawing it doesnt have work on it but I just looked at the sides while reading the choices and the ones that matched up to the correct sides was D
Answer:
D when you draw the triangles, those sides would be similar.
constant rate of change = 4
Y -intercept = 7
Answer:
You would write it like -
y = 7 + 4x
or y = 4x + 7
(2.3x104)x(1.5x10-2)
Answer:
(2.3x104)x(1.5x10-2) = 3109.6
What does an inverse function look like?
Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.
The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.
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A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. How many cups of white paint will it be for 1 cup of red paint?
Which of the following is a net?
Answer:
C.
Step-by-step explanation:
why?
a net spreads the actual look when it's open
HOPE IT HELPS
(FROM CROSS)
if the graph of the equation equals y=3^x is reflected on the x-axis, the equation of the reflection is
Someome please help me
Answer:
Step-by-step explanation:
Tell your teacher thet you need more helpp and pay attention to math
simplify the equation b^5•b^8
Find the measure of the indicated angle to the nearest degree.
Answer:
57⁰
Step-by-step explanation:
To get the indicated angle we need to use the knowledge of trigonometry.
Since the required angle has both opposite and adjacent sides we use Tangent
Tan ? = opposite/adjacent
= 37/24
= 1.5412
To get the angle we now need to to find the tan inverse of the value we found
Tan inverse of 1.5412
= 57.03⁰
to the nearest degree it will be 57⁰
please also show the steps to get the answer
Answer:
95 degrees
Step-by-step explanation:
Angle S is 95 so arc QR = 95×2 = 190
Total arc is 360 degree
Now to find arc QS
arc QS + arc SR + arc QR =360
arc QR + 75 + 190 =360
arc QR = 360- 265
arc QR = 95 degrees
Uh please answer correctly I’ll mark you brainlist after I see if it’s correct!
Answer:
The equation for the volume of a rectangular prism is V=whl or width x height x length. The width is 7/2, the height is 7/5, and the length is 5. Multiply all of these numbers to get 49/2 or 24.5.
Answer:
24.5 cm cubed
(3.5 (7/2) times 1.4 (7/5) times 5)
Step-by-step explanation:
7/2cm multiplied by 7/5cm multiplied by 5cm
(3.5 times 1.4 times 5 = 24.5)
If you start with 1 marble in a jar and double the amount of marbles in a jar every minute, you will fill the jar in 60 minutes. How many minutes will it take for the jar to be half full?
Answer: 59min
Step-by-step explanation:
Write an equation for this situation: The cost of renting a car is $30 per day.
The coordinates of triangle DEF are D(4,3) E(8,3 and F(6,8). If you tendkwte triangle DEF 3 units right and 3 units down what are the coordinates of F
Answer:
(9,5)
Step-by-step explanation:
How is rotation and dilation similar?
Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.
The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.
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please help!!!!
Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0
By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.
What do you meant by Systems of Linear Equations by Elimination ?Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888
Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.
[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]
Let's figure out what x is, 2.2 x-1.8 y-1.6=0.
First, multiply both sides by 1.8 y.
[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]
Add 1.6 to both sides in step two.
[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]
3. Multiply both sides by 2.2.
[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]
x=0.818182 y+0.727273
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Help me on this one too please
Answer:
12. False True True False
13. Table A: f(x)=9 x=-1
Step-by-step explanation:
for table B and C the data is blurry so I cannot tell. try using math.way
Answer:
12. False, True, True, True
13. Table A, Table C, Table B
The graph shows a line and two similar triangles.
What is the equation of the line?
A. y=3/2x
B. y=2/3x
C. y=3x
D. y=2x
Answer:
y=3/2×
Step-by-step explanation:
the one line is the 3cm and the another line is 2cm
The equation of the line is y = 3/2 x
What is equation of line ?"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.
The equation of line is a linear equation with a degree of one."
The two points are origin and (6,4).
Using 2 point form we have
y - y1 = (y2 - y1/x2-x1) * x - x1
y - 0 = ( 6 - 0 / 4 - 0 ) * x
y = 3/2 x
Hence, A is the correct option.
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Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?
The total number of coins Piper has in her collection is 100 coins.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.
Let, The total number f coins in the box be 'x'.
Therefore, 2% of 'x' is 12 which can be numerically expressed as,
(2/100)×x = 12.
0.02x = 12.
x = 2/0.02.
x = 100.
So, She has 100 coins in her box.
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