Answer:
There are exactly 42 generators of U(49), one for each power of g (g^0, g^1, g^2, ..., g^41).
Step-by-step explanation:
We know that the group U(49) is cyclic, so it has at least one generator. Let's call this generator g. Since U(49) has 42 elements, we know that g^42 = 1 (where 1 is the identity element of the group).
This is because the order of g must divide the order of the group, so the order of g can be 1, 2, 7, 14, 21, or 42.
Now, suppose there exists another generator h. This means that h has order 42 (since it generates the entire group).
However, since U(49) is cyclic, there exists an integer k such that h = g^k. Therefore, (g^k)^42 = g^(42k) = 1, which implies that 42 divides k. In other words, k must be a multiple of 42.
Conversely, if we let k be a multiple of 42, then (g^k)^42 = g^(42k) = 1. Therefore, the element g^k has order 42, and since it generates the entire group, it is also a generator of U(49).
So we have shown that if g is a generator of U(49), then any generator h can be written as h = g^k for some multiple k of 42.
To Know more about generator refer here.
#https://brainly.com/question/30696739
#SPJ11
Expand & simplify 6 ( f + 5 ) − 4 ( f − 6 )
After simplification, the value of the expression is,
⇒ 2f + 54
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.
Given that;
The expression is,
⇒ 6 ( f + 5 ) - 4 ( f - 6 )
Now, Simplify the expression as;
⇒ 6 ( f + 5 ) - 4 ( f - 6 )
⇒ 6f + 30 - 4f + 24
⇒ 2f + 54
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
What is a 3 2 scale factor?
Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.
How do you dilate by scale factor?We locate the dilation's centre point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.The new shape is three times as large as the original if the scale factor is 3.The fundamental equation to determine the scale factor of a figure is written as, Dimensions of the original shape minus the dimensions of the new shape equals the scale factor.Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement / larger measurement equals a scale-down operation.To learn more about scale refer to:
https://brainly.com/question/30241004
#SPJ4
Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.
How do you dilate by scale factor?We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.
The new shape is three times as large as the original if the scale factor is 3.
The fundamental equation to determine the scale factor of a figure is written as, Dimensions of the original shape minus the dimensions of the new shape equals the scale factor.
Scale Up = larger measurement / smaller measurement (smaller to larger).
Smaller measurement / larger measurement equals a scale-down operation.
To learn more about scale factor visit:
https://brainly.com/question/30215119
#SPJ4
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
Answer:
(d) The IQR is the best measure of variability, and it equals 18.5.
Step-by-step explanation:
You want to know the best measure of variability for the data in the given stem-and-leaf plot.
0 | 51 | 0, 3, 72 | 4, 6, 83 | 24 |5 | 8StatisticsThe attachment shows the values of interest are ...
Range = 58 -5 = 53
IQR = 30 -11.5 = 18.5
Measure of variabilityYou can see from the shape of the stem-and-leaf plot that the mean and median are near 24, and most of the data is clustered in that neighborhood. The outlier at 58 skews the distribution to the right.
Since the data has an outlier, we choose the IQR as a better measure of the variability than the range is.
The IQR is the best measure of variability, and it equals 18.5.
__
Additional comment
Neither the IQR nor the range is 45. The range is definitely not 18.5. This means the answer choice we have selected is the only true statement about the data set. (It will often be the case that the only answer that is a true statement is the correct answer.)
<95141404393>
How much will you pay for a hat that costs $24.99 if tax is 7.5%?
Answer:
The cost of the hat with 7.5% tax would be $26.87
Step-by-step explanation:
($24.99 * 0.075) = $26.87.
What does 1 2 scale mean?
If the scale factor is a fraction, the shape will be smaller. This is called reduction. Therefore, a 1/2 scaling factor means that the new shape is half of the original shape.
What is 1 2 scale?Half scale is 1:2. It is helpful to think of this as one unit on the drawing equals two units on the object. A small object can be enlarged on the paper and drawn in 2:1 scale. This means the drawing of the object is twice as large as the object itself.This means that one unit on the page represents one unit in 'real life'. If a drawing is drawn HALF the actual size of the object, the scale is 1:2. This means that one unit on the page is equal to two units in real life.They are a reference to the original drawing size. For example, if a drawing file is currently sized at 24″x36″, then a full size print of that file would be 24″x36″. A half size print, or 50% reduction, of the same 24″x36″ original would be 12″x18To learn more about 1 2 scale refers to:
brainly.com/question/28339205
#SPJ4
If the scale factor is a fraction, the shape will be smaller. This is the so-called recovery. So a scale factor of 1/2 means that the new shape is half the original shape.
What is Scale 1 2?Half scale is 1.
2. It is convenient to imagine that 1 unit on the drawing is equal to 2 units on the object. You can enlarge small objects and draw them on paper 2:
1 scale. This means that the drawing of the object is twice the size of the object itself.
This means that the units on the page represent "real life" units. If the drawing is drawn at half the actual size of the object, the scale is 1.
2. This means that 1 unit on the page is equivalent to 2 actual units.
These are references to the original drawing sizes. For example, if your drawing file is currently 24" x 36", it will be 24" x 36" when printed at full size. A print half the size of the same 24" x 36" original or a 50% reduction will be 12" x 18".
To learn more about 1 2 scale refers to:
brainly.com/question/28339205
#SPJ4
t = 3p/r + s
make r the subject of the formula
Answer:
\frac{3t}{t-1}[/tex]Step-by-step explanation:[tex]t = \frac{r}{r - 3}[/tex]Cross multiply,t(r - 3) = rtr - 3t = r tr = r + 3t tr - r = 3t r(t -1) = 3t
Step-by-step explanation:
Making the r as subject of the formula for the given expression t = 30p/r + s is given by, r = 30p/(t - s).
Given the expression is,
t = 30p/r + s, where p, r, s and t are mathematical variables.
We have to make the r the subject of the formula that is we have to express the variable ' r ' in terms of the other variables in the given expression.
t = 30p/r + s
t - s = 30p/r
r/30p = 1/(t - s)
r = 30p/(t - s)
Hence the rearranged form of the given expression is r = 30p/(t - s).
To know more about mathematical expression here
https://brainly.com/question/15317583
#SPJ2
Which of the following are statistics?
a. X
b. µ
c. α
d. s
e. α^2/n
Answer:
Letter B is the statistic.
can someone pls do this i'm lazy
Answer:
Here ya go lazy one
Step-by-step explanation:
1 - 0.62 x 2 = 1.24
2 - 0.5 x 9 = 4.5
3 - 3.6 x 8 = 28.8
4 - 5.1 x 7 = 35.7
5- 4 x 2.3 = 9.2
Mark me brainliest lazy one <3
Which correctly describes how to determine the measure of angle 1? 2 parallel lines are crossed by a transversal to form 8 angles. clockwise from top left, the angles are 105 degrees, blank, blank, blank; blank, blank, 2, 1. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°. the 105° angle and angle 2 are corresponding angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 75°. angles 1 and 2 are supplementary angles so angle 1 must measure 105°. the 105° angle and angle 2 are corresponding angles so angle 2 must measure 75°. angles 1 and 2 are supplementary angles so angle 1 must measure 105°.
Option A is the correct answer. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
Two angles are called supplementary when their measures add up to 180° degrees. These angles form a straight angle when they are put together.
Angle 1 and angle 2 are supplementary if Angle1+Angle2= 180°.Thus, Angle 1 and Angle 2 are called "supplements" of each other.
Two angles that lie on opposite sides of the transversal and are placed on two different lines are called alternate exterior angles. These pairs of angles are always equal if the two given lines are parallel.
Two exterior angles that lie on two different lines cut by a transversal and are placed on opposite sides of the transversal are called alternate exterior angles.
Here,105 and ∠2 are alternate exterior angles, ∠2=105 degrees.
Angles 1 and 2 and supplementary
so 180 - ∠2 = ∠1
180-105=75.
∠1 =75 degrees.
To know more about supplementary:
https://brainly.com/question/12919120
#SPJ4
Answer:
A
Step-by-step explanation:
What is ed? enter your answer in the box. units two segments a d and b c intersect at point e to form two triangles a b e and d c e. side a b is parallel to side d c. a e is labeled 2 x plus 4. e d is labeled x plus 4. c d is 6. a b is 9.
The total area of the two triangles is 3 sq units + (-1 sq units) = 2 sq units.
The equation of line a b is y = 2x + 4
and the equation of line d c is y = x + 4
Substituting the y-coordinate of point E, (6) in the equations of line a b and d c, we get:
2x + 4 = 6
x + 4 = 6
Solving the above equations, we get x = 1 and y = 6.
Therefore, the coordinates of point E are (1,6).
The length of side a b is 9 - (2x + 4) = 9 - (2(1) + 4) = 3
The length of side d c is x + 4 - 6 = 1 + 4 - 6 = -1
The length of side a e is 2x + 4 - 6 = 2(1) + 4 - 6 = 2
The length of side d e is x + 4 - 6 = 1 + 4 - 6 = -1
Therefore, the area of triangle a b e is 1/2 (base x height) = 1/2 (3 x 2) = 3 sq units
The area of triangle d c e is 1/2 (base x height) = 1/2 (-1 x 2) = -1 sq units
Therefore, the total area of the two triangles is 3 sq units + (-1 sq units) = 2 sq units.
Learn more about area of triangle here:
https://brainly.com/question/19305981
#SPJ4
Answer:
I am pretty sure it is 8 units.
Step-by-step explanation:
Help fast help I need help quick
On solving the provided question, we can say that the linear function that can be formed is x + 4y= 16 and rate of change in linear function is 13
What is linear function ?Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.
the linear function that can be formed is
x + 4y= 16
also, 2x = 26y
rate of change in linear function is 13
To know more about linear function visit:
https://brainly.com/question/29205018
#SPJ1
The table below shows Lamonte's earnings on the job.
Based on the constant rate of change, it will take Lamonte 4.5 hours to earn $107.55.
What is the constant rate of change?The constant rate of change refers to the ratio of an output value to an input which remains constant in all variables.
The constant rate of change is called a slope in a linear function or the unit rate.
The constant rate of change implies that the dependent variable changes (increasing or decreasing) as the other comparable or independent variable changes similarly.
Time (hours) Earnings (dollars) Unit Rate
3 $71.70 $23.90 ($71.70/3)
11 $262.90 $23.90 ($262.90/11)
28 $669.20 $23.90 ($669.20/28)
Total earnings = $107.55
Unit rate her hour = $23.90
The number of hours required = 4.5 hours ($107.55/$23.90)
Thus, using the constant rate of change or unit rate, Lamonte must work 4.5 hours to have total earnings of $107.55.
Learn more about the constant rate of change at https://brainly.com/question/23299538
#SPJ1
When you write a number greater than or equal to 1 in scientific notation the exponent of the power of 10 will be?
When writing a number greater than or equal to 1 in scientific notation, the exponent of the power of 10 will be positive.
In scientific notation, a number is represented as a coefficient multiplied by a power of 10. For example, the number 12,000 can be written as 1.2 x 10⁴ in scientific notation.
When the number is greater than or equal to 1, the coefficient will be greater than or equal to 1 and less than 10. The exponent of the power of 10 will indicate the number of places the decimal point must be moved to the right to get the original number.
Since the number is greater than or equal to 1, the decimal point must be moved to the right, resulting in a positive exponent. So, when writing a number greater than or equal to 1 in scientific notation, the exponent of the power of 10 will always be positive.
To learn more about scientific notation visit: https://brainly.com/question/3112062
#SPJ4
Which communicable diseases are known for targeting the human respiratory system? I. Influenza II. Tuberculosis III. Coronavirus infections Group of answer choices II and III I only I, II, and III II only
The communicable diseases that are known for targeting the human respiratory system are C. I, II, and III.
Which disease target human respiratory system ?There are several diseases that target the human respiratory system and a lot of them are communicable . One of the most popular of these is the Coronavirus infection which forced the world into various lockdowns to prevent its spread.
Then there is Influenza II which is one of the most communicable diseases in existence. It also attacks the human respiratory system much like Tuberculosis III.
Find out more on the human respiratory system at https://brainly.com/question/15436597
#SPJ1
Please help? This assignment is due in 23 minutes and is still have 7 more questions :(
The average person in a slum in a developing region uses 1.32 gallons (5 liters) of water every day. If the average shower in the US uses 7.5 gallons of water a minute how long of a shower would it be to use 1.32 gallons?
One gallon equals 16 eight ounce glasses of water.
A one-minute shower consumes how many gallons?According to the EPA, conventional shower heads utilize 2.5 gallons of water each minute. For the normal shower, that’s 20 gallons of water! To help lower your water impact, try trimming three minutes off your shower time. Delivering, purifying, and boiling hot water for your shower also consumes a lot of energy.
To determine the average shower water use, multiply the average flow rate of 2.1 gallons per minute by the average shower time of 8.2 minutes. So, 17.2 gallons is the average amount of water utilized. A 10-minute shower will consume 21 gallons of water. The amount of water consumed in the shower may quickly add up.
To know more about gallons calculation visit:
brainly.com/question/28005717
#SPJ1
How do you enlarge a shape by scale factor 3 center?
To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.
What is Centre of enlargement?By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.E.g.
In this instance, scale factor 1 has been used to increase triangle ABC.A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.The lengths of the new shape's sides are one-third that of the sides of the original shape.Parallel lines connect the groups of corresponding sides.The angles are the same in both shapes, and the triangles resemble one another.Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.To Learn more About Centre of enlargement, refer To:
https://brainly.com/question/22361131
#SPJ4
To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.
What is Centre of enlargement?By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.
To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.
E.g.
In this instance, scale factor 1 has been used to increase triangle ABC.
A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.
The lengths of the new shape's sides are one-third that of the sides of the original shape.
Parallel lines connect the groups of corresponding sides.
The angles are the same in both shapes, and the triangles resemble one another.
Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.
An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.
To Learn more about Centre of enlargement, refer To:
https://brainly.com/question/16446634
#SPJ4
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 29 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile?
The shorter side of the tile is 12.5 inches and the longer side is 15 inches.
Lin ran 2 3/4 miles in 2/5 of an hour.
Noah ran 8 2/3 miles in 4/3 of an hour.
b. How long would it take Lin and Noah to run 1 mile at that rate? Show work on the sketch.
The time it would take Lin to run 1 mile is 8/55 hour
The time it would take Noah to run 1 mile is 2/13 hour
Calculating how long it would take to run 1 mileFrom the question, we are to calculate how long it would take Lin and Noah to run 1 mile
From the given information,
Lin ran 2 3/4 miles in 2/5 of an hour
Thus,
Lin's speed = (2 3/4) ÷ 2/5
Lin's speed = 11/4 ÷ 2/5
Lin's speed = 11/4 × 5/2
Lin's speed = 55/8 miles/hour
Now, to determine how long it would take Lin to run 1 mile
Using the formula,
Time = Distance / Speed
Time = 1 / (55/8)
Time = 8/55 hour
Also,
Noah ran 8 2/3 miles in 4/3 of an hour
Thus,
Noah's speed = (8 2/3) ÷ 4/3
Noah's speed = 26/3 ÷ 4/3
Noah's speed = 26/3 × 3/4
Noah's speed = 26/4
Noah's speed = 13/2 miles/hour
Now, to determine how long it would take Noah to run 1 mile
Using the formula,
Time = Distance / Speed
Time = 1 / (13/2)
Time = 2/13 hour
Hence, it will take 2/13 hour
Learn more on Calculating time here: https://brainly.com/question/18183321
#SPJ1
A rectangle has a length of 5x+2 and a width of 3x-1. Write an Expression for the perimeter of the rectangle
Answer:
16x+6
Step-by-step explanation:
5x+2+3x+1+5x+2+3x+1 =
16x+6
Answer:
16x + 2
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]
Given expressions:
[tex]\textsf{Length} = 5x + 2[/tex][tex]\textsf{Width} = 3x - 1[/tex]To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:
[tex]\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}[/tex]
If you pay $12.80 for 8 extra large bags of cheetos, how much will 1 bag cost you?
Answer:
12.80/8=1.6
$1.60 for one bag of cheetos
Step-by-step explanation:
Answer: $1.6 for 1 bag
Step-by-step explanation:
We can divide 12.80 by 8 = 1.6 to find the answer to your question
2. The diagram shows some steps.
Find the volume in cm^3 and surface area in cm^2.
The volume of the step and the surface area of the steps are 120000 cm³ and 26,400 cm² respectively.
What is a Rectangular Prism?
A rectangular prism is a three-dimensional shape that consists of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
The given steps can be divided into 3 rectangular boxes each with length, l = 1 m = 100 cm, width, w = 20 cm, and height, h = 20 cm.
The volume of a rectangular box = l × w × h
= 100 × 20 × 20
= 40000 cm³
Volume of 3 rectangular boxes = 3 × 40000 cm³
= 120000 cm³
Surface area of a rectangular box = 2 (lw + lh + wh)
= 2 [(100 × 20) + (100 × 20) + (20 × 20)]
= 2 [2000 + 2000 + 400]
= 2 [4400]
= 8800 cm²
The surface area of 3 rectangular boxes = 3 × 8800
= 26,400 cm²
Hence, the volume of the steps is 120000 cm³ and the surface area of the steps is 26,400 cm².
To learn more about Rectangular Prisms visit,
brainly.com/question/21308574
#SPJ1
Help Please! I need to find the value of x in the quadrilateral
I know the sum of the exterior angles and interior angles is 360 and I know I need to do something with substitution but I have no idea where to start. Please explain it step by step so I understand.
The value of x in the quadrilateral is 23°
How to find the value of x in the quadrilateral?
Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life
The interior angles of the quadrilateral are :
180 - (x+16)° (sum of angles on a straight line)
180 - (3x-1)° (sum of angles on a straight line)
180 - 6x° (sum of angles on a straight line)
180 - 5x° (sum of angles on a straight line)
Since the sum of the interior angles of a quadrilateral is 360°. We have:
180-(x+16)° + 180-(3x-1)° + 180-6x° + 180-5x° = 360°
180 - x - 16 + 180 - 3x + 1 + 180 - 6x + 180 -5x = 360
705 - 15x = 360
15x = 705 - 360
15x = 345
x = 345/15
x = 23°
Learn more about geometry on:
brainly.com/question/24375372
#SPJ1
find the area and peremiter of the parallelgram .
The area and perimeter of the parallelogram can be found to be :
Area Perimeter How to find the area and perimter of a Parallelogram ?The area of a Parallelogram can be found by the formula :
= Base of Parallelogram x Height of Parallelogram
= 54 in x 50 in
= 2, 700 in ²
The perimeter is simply the distance around the Parallelogram which is:
= 54 + 55 + 54 + 55
= 218 in
Find out more on the area of a Parallelogram at https://brainly.com/question/11464682
#SPJ1What does it mean that stocks and bonds are relatively liquid? a. They are easier to buy and sell than other forms of investment. b. They tend to go up and down in value. c. The amount of income they can bring changes frequently. d. There are more of them to choose from than other forms of investment. Please select the best answer from the choices provided Group of answer choices A B C D
The correct option a. They are easier to buy and sell than other forms of investment, describes the relatively liquid.
Define the term relatively liquid bonds?A type of debt fund known as "liquid funds" mostly invests in higher financing instruments with 91-day maturities.
Liquid money are allocated to bank deposits, t - bills, bills of exchange, and other assets.Compared to other investment options, they are simpler to buy and sell. When an asset is described as liquid, it simply indicates that it can be quickly changed into cash. Because there will always be a buyer and a seller willing to exchange money for the stock or bond, liquid bonds and stocks are simpler to sell and buy.Thus,
Liquid assets are those that are challenging to buy, sell, or convert into cash.
To know more about the relatively liquid bonds, here
https://brainly.com/question/14922095
#SPJ1
Is section formula and midpoint formula same?
So on solving the provided question, we can say that A line segment's midpoint is the location where it is divided into two equally sized halves.
what is midpoint?The midpoint of a line segment is known as the midpoint in geometry. The centroid of all segments and ends, it is equally spaced from each of them. Add the two figures together and divide by two to determine the middle of any range. Look at this illustration to see how to determine the intersection of two points on a 1D axis. Consider the numbers 5 and 9 as the two points on a number line. Calculating the midpoint is as follows: (5 + 9)/2 = 14/2 = 7. As a result, 7 lies halfway between 5 and 9. There are instances when you need to locate a precise spot between two other points. The term "midpoint" refers to this center. The point on a line segment that divides the line is considered to be the midway of the segment.
A line segment's midpoint is the location where it is divided into two equally sized halves. The point splitting the line segment in any desired ratio can be found using the more potent section formula, which builds on the previous method.
To know more about midpoint visit:
https://brainly.com/question/28667736
#SPJ4
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons :
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal?
Hideki should use coupon 2 to get a better deal.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Hideki buys 2 sweaters for $18 each.
Coupon 1: Buy one, get one 40% off
Here, 40% of 18
= 40/100 ×18
= 0.4×18
= $7.2
So, cost of entire purchase 2(18)-7.2
= 36-7.2
= $28.8
Coupon 2: 25% off entire purchase
25% of 2(18)
= 25/100 ×36
= 0.25×36
= $9
Now, 36-9 =$27
Therefore, Hideki should use coupon 2 to get a better deal.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
Taylor splits 5 pounds of ham equally to make 10 sandwiches. He thinks each sandwich will recieve 2 pounds of ham. Is he correct? explain
Answer: No
Step-by-step explanation: 5 pounds of ham would mean that 5 people get 1 pound, and 10 people would get 1/2 pound or 0.5 pounds of ham each.
Answer: No
Step-by-step explanation: Step 1: Calculate the total amount of ham needed for 10 sandwiches. This is 10 x 2 = 20 pounds.
Taylor is not correct, as he does not have enough ham to make 10 sandwiches with 2 pounds of ham in each.
Where can you buy a ruler that is 3 feet long worksheet answer key?
Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.
What does expression actually mean?An analytical formula must be verified by replacing each parameter with a number or performing mathematical operations. Since 79 + 8 = 87, the response variable in the prior case is the same as 6. We can substitute values for the variables that we are familiar with in order to evaluate the expression.
Here,
Given : a ruler that is 3 feet long
where to buy
thus,
We can find the ruler which is 3 feet long can be bought from yard sale.
Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ4
Find the values of a and b such that
X^2 + 2x - 7 = (x + a)^2 + b
The values of a and b are 1 and -8 respectively.
What are the values of a and b?[tex]x^{2} + 2x- 7 = (x+a)^{2}+b[/tex]
Let us consider the Right Hand Side of the given equation.
[tex](x+a)^{2}+b = x^{2} +2ax+a^{2} +b\\[/tex]
So,
[tex]x^{2} + 2x- 7 = x^{2}+2ax+a^{2}+b\\\\= x^{2}+2x(1)+1^{2}-8\\\\= (x+1)^{2} -8\\\\[/tex]
Here, a = 1 and b = -8
What is an equation?Equation is also known as a statement of equivalence between two expressions with variable and/or number-based components. Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity. Numerous physics laws are expressed using them. likewise see equation system. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship.To learn more about equation, refer:
https://brainly.com/question/2972832
#SPJ1
A line of best fit was drawn to the plotted points in a data set below. Based on the line of best fit, for what x-value does y=14y=14?
When Y=14 then x will be 20 for the given linear line (Linear equation).
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
As we can see from the graph that for values of y and x
y increase 3 points when x increase 5 points
e.g. (5,5) and (10,8)
Following the same trend when y=14 then x will be 20.
To know more about linear equations visit the link
https://brainly.com/question/29739212?referrer=searchResults
#SPJ1