Answer:
The equation 2n + 1 = 157 represents the situation where the sum of two consecutive numbers is 157.
To find the first number, we can start by subtracting 1 from both sides of the equation:
2n = 156
Then we can divide both sides by 2:
n = 78
So the first number is 78, which corresponds to the answer choice B.
Step-by-step explanation:
Factor the trinomial below
X^2-12x+35
O A. (x - 5)(x - 7)
• B. (x+ 5) (x + 7)
O C.(x+ 5)(X-7)
O D. (x - 5) (x + 7)
Answer:
A
Step-by-step explanation:
x² - 12x + 35
consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
the factors are - 5 and - 7 , since
- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then
x² - 12x + 35 = (x - 5)(x - 7) ← in factored form
I need to turn this in tomorrow please help. Use a ratio box to solve this problem. a. The 1/12 scale model of the rocket stood 48 inches high. What was the height of the actual rocket?
If the 1/12 scale model of the rocket stood 48 inches high. The height of the actual rocket is 576 inches.
What is a ratio box?A ratio box can be defined as a tool that can be used to set up and solve proportion problems.
In order to use a ratio box to solve this problem, we can set up the following proportion:
Scale model height / Actual rocket height = 1/12
48 inches / actual rocket height = 1/12
To solve for the actual rocket height, we can cross-multiply and divide:
48 inches××12 = actual rocket height
Actual rocket height = 576 inches
Therefore the height of the actual rocket is 576 inches.
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a trains travels 80 km per hour calculate the average speed of the train in meters per second
Answer:
0.28 meters per second
Step-by-step explanation:
1 hour = 3600 seconds
1km = 1000 meters
1000 divided by 3600 = 0.28 meters per second
So, the speed of the train is 0.28 meters per second.
Answer:
The speed of the train is 22.22 meters per second.
Step-by-step explanation:
1 hour = 3600 seconds
1km = 1000 meters
80KM=80000
80000/3600 = 22.22
So, the speed of the train is 22.22 meters per second.
Samir i hopping for gift online. He found two coupon code, but he can only ue one of them per purchae. The firt coupon code would give him 5% off and free hipping. The econd coupon code would give him 20% off, but he would have to pay $14. 99 for hipping. Samir want to find p, the price at which the firt coupon code give him a better deal. Which inequality can he ue?
The price p which the first coupon code give him a better deal is less than $99.93. The inequality he can use is the first coupon code will give Samir a better deal.
Inequality for Better DealWe can find the value of "p" by solving the inequality.
Starting with the inequality:(1 - 0.05) * p + 0 < (1 - 0.20) * p + 14.99
This inequality compares the total cost (price minus discount plus shipping) of using the first coupon code on the left-hand side and the total cost of using the second coupon code on the right-hand side. If the left-hand side is less than the right-hand side, then the first coupon code gives a better deal.
Solving for p, Samir can find the minimum price at which the first coupon code is a better deal.
Expanding both sides:0.95 * p + 0 < 0.80 * p + 14.99
Simplifying both sides:0.95 * p < 0.80 * p + 14.99
Subtracting 0.80 * p from both sides:0.15 * p < 14.99
Dividing both sides by 0.15:
p < 99.93
So, if the price "p" is less than 99.93, the first coupon code will give Samir a better deal.
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What is the measure of angle SQR?
Answer: Answer
°
The measure of angle SQR for the given set of supplementary angles is found as 72°.
What is meant by supplementary angles?Two angles are known as supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are deemed to be complimentary angles and together they make a right angle.By the definition of supplementary angles:
6x + 4x = 180
10x = 180
x = 18
measure of angle SQR : 4x
4x = 4*18
measure of angle SQR = 72°
Thus, the measure of angle SQR for the given set of supplementary angles is found as 72°.
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discuss the significance of the intercept and the coefficient of performance rating using a significance levels of .01, .05, .10 and concepts of strict, regular and weak significance where it applies.
The significance of the intercept and the coefficient of performance rating is defined below.
The significance level is used to determine the strength of evidence for the relationship between the variables.
A significance level of .01 means that there is only a 1% chance that the relationship between the variables is due to chance. A significance level of .05 means that there is a 5% chance that the relationship is due to chance, and a significance level of .10 means that there is a 10% chance that the relationship is due to chance.
If the significance level is .01, the relationship between the variables is considered to be strictly significant, meaning that there is a very low probability that the relationship is due to chance.
If the significance level is .05, the relationship is considered to be regularly significant, meaning that there is a moderate probability that the relationship is due to chance.
If the significance level is .10, the relationship is considered to be weakly significant, meaning that there is a relatively high probability that the relationship is due to chance.
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Can someone pls help
Answer: 920?
20 charachters euhfiwudhfiuwefhiuhrieuhwdfiuhriurh
In Exercises 11 to 16 , the draving shows trapesoid ABCD with →AB‖→DC: also, M and N are midpoints of ¯AD and ¯BC, respectively. Given: AB=7x+5, DC=4x−2, and MN=5x+3
In the trapezoid ABCD , when AB || DC and M, N are the midpoint of AD and BC then the value of AB , DC , and MN is equal to 26, 10, and 18 respectively.
In trapezoid ABCD,
AB || DC
AB = 7x + 5
DC = 4x -2
MN = 5x + 3
Using midpoint segment of two parallel lines in a trapezoid we have,
( AB + DC ) / 2 = MN
Substitute the value of AB, DC, and MN we get,
⇒ ( 7x + 5 + 4x -2 )/ 2 = 5x + 3
⇒11x + 3 = 10x + 6
⇒x = 3
⇒ AB = 7(3) + 5
= 26
DC = 4(3) -2
= 10
MN = 5(3) + 3
= 18
Therefore, the value of AB, DC, and MN in the trapezoid ABCD is equal to 26, 10, and 18 respectively.
The above question is incomplete, the complete question is :
The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively. Given: AB=7x+5, DC=4x−2, and MN=5x+3 find the value of AB, DC, and MN for the calculated value of x.
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Evaluate the function when:
x= -1, 0, and four
Equation: y= -2x-4
Answer:
To evaluate the function when x = -1, 0, and 4, we need to substitute those values into the equation and solve for y.
1. When x = -1,
y = -2(-1) - 4
y = 2 - 4
y = -2
2. When x = 0,
y = -2(0) - 4
y = -4
3. When x = 4,
y = -2(4) - 4
y = -8 - 4
y = -12
So, the function has the values of -2, -4, and -12 when x = -1, 0, and 4 respectively.
According to the rational root theorem, which of the following are possible
roots of the polynomial function below? Check all that apply.
x4-6x³-19x2 +84x+180
A. 19
B. 8
C. 10
D. 18
Answer:
C, D
Step-by-step explanation:
You want to know possible rational roots of x⁴-6x³-19x² +84x+180.
Rational root theoremThe rational root theorem tells you any rational roots will be fractions of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
ApplicationHere, the coefficient of x⁴, the leading coefficient, is 1. So any rational roots will be divisors of ±180. Those divisors are (plus or minus) ...
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The highlighted values are ones that are answer choices.
__
Additional comment
An estimate of the upper bound of the magnitude of the roots would be ...
[tex]2\max(\sqrt[4]{180},\sqrt[3]{84},\sqrt{19},6)=12[/tex]
The rational root theorem allows roots larger than this.
The roots of this polynomial are actually {-3, -2, 5, 6}.
what is Y=4x^2-4x+3
In parabola
The vertex form of the parabola y = 4 · x² - 4 · x + 3 is the equation y - 2 = 4 · (x - 1 / 2)².
How to determine the equation of the parabola in vertex form
In this problem we find the case of the equation of a parabola in standard form, whose vertex form has to be found. These forms are described below:
Standard form
y = a · x² + b · x + c
Vertex form
y - k = C · (x - h)²
Where:
a, b, c - Real coefficientsC - Vertex formh, k - Coordinates of the vertex.This can be done by completing the square, an application by algebra properties. First, write the equation of a parabola in standard form:
y = 4 · x² - 4 · x + 3
Second, use algebra properties until vertex form is found:
y - 3 = 4 · (x² - x)
y - 3 + 4 · (1 / 4) = 4 · (x² - x + 1 / 4)
y - 2 = 4 · (x - 1 / 2)²
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what will the sequence be after the first iteration of a radix sort? arr = [26,03,10,15,32,53,47,20] radixgoxt (arr) [03,10,15,26,20,32,47,53][03,10,15,26,20,32,53,47][03,10,15,20,26,32,47,53][10,20,32,03,53,15,26,47]
The sequence after the first iteration of a radix sort is radixgoxt (arr) [03,10,15,20,26,32,47,53].
The sequence will not be one of the given sequences after the first iteration of a radix sort.
In radix sort, the elements are sorted based on the digits in their least significant position and then moving towards the most significant position. After each iteration, the elements will be rearranged based on the current significant position being considered.
For example, in the first iteration, the elements could be sorted based on the unit's place (i.e., the least significant position) in the following order: [03,10,15,20,26,32,47,53].
In the next iteration, the elements could be sorted based on the tens placed in the following order: [03,10,15,20,26,32,47,53].
And so on, until all the significant positions have been considered and the elements have been rearranged into their final sorted order.
Therefore, the sequence after the first iteration of a radix sort will depend on the sorting method used and the specific implementation of the algorithm
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A sports committee consisting of four rowers, three basketballers and two cricketers sits at a circular table. a. How many different arrangements of the committee are possible if the rowers and basketballers both sit together in groups, but no rower sits next to a basketballer? b. One rower and one cricketer are related. If the conditions in a apply, what is the probability that these two members of the committee will sit next to one another?
(a) Total 288 different arrangements of the committee are possible if the rowers and basketballers both sit together in groups, but no rower sits next to a basketballer.
(b) If the conditions in a apply, 1/24 is the probability that these two members of the committee will sit next to one another.
(a) Considering the four rowers as a single person, the three basketball players as a single person, and the cricketers as two unique people (So, a total of 4 persons).
Number of configurations for a round table of n people = (n-1)!
Number of configurations for a round table of n people = (4-1)!
Number of configurations for a round table of n people = 6 ways
Let's leave out the number of arrangements that the basketball players and rowers will have.
Assuming that a basketball player and a rower are one person, they will sit together = (3-1)! × 2!
Assuming that a basketball player and a rower are one person, they will sit together = 4
There are therefore numerous arrangements for the groups where basketball players and rowers sit together = 2
No. of ways to arrange basketball players in a group = 3!
No. of ways to arrange basketball players in a group = 6
There are numerous number of methods to arrange rowers within a group = 4!
There are numerous number of methods to arrange rowers within a group = 24
Hence, total number of ways = 2×6×24
Total number of ways = 288
No. of ways are 288
b) The definition of an event's probability is as follows:
Probability = No. of Successful Outcomes / Total no. of Outcomes
Number of ways a cricketer can take a seat = 2! = 2 ways
Number of arrangements for the remaining rowers when he is seated next to the cricket player = 3!
Number of arrangements for the remaining rowers when he is seated next to the cricket player = 6 ways
Total number of possible ways = 6×2
Total number of possible ways = 12 ways
Probability = 12/288
Probability = 1/24
Hence, the required probability is 1/24.
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Could you help me for a second?
There is no relation between the number of people living and the number of pets. The correct option is D.
What is a scatter plot?Scatter plots are used to visually observe and plot relationships between two numerical variables. The values of each individual data point are represented by the dots in a scatter plot.
The scatter plot is showing the data between the number of people living and the number of pets.
In the scatter plot, there is not any perfect relation between the number of people living in a room and the number of pets.
The correct option is D.
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Your favorite chips cost $1.20 for 15 ounces. What is the unit rate? Enter your answer in the box. The units will be $/oz. Do not type the units
To find the unit rate, we need to divide the price of the chips by the number of ounces: for every ounce of chips, it cost $0.08
How do I determine unit rate?The denominator of a unit rate is always 1. Divide the denominator by the numerator such that the denominator equals one in order to calculate the unit rate.
For instance, the unit rate is 50 km/5.5 = 9.09 km/hour if 50 km are traveled in 5.5 hours. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.
Unit rate = Price / Number of ounces
Unit rate = $1.20 / 15 ounces = $0.08 per ounce
So the unit rate is $0.08 per ounce. This means that for every ounce of chips, it cost $0.08
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true or false: a positive correlation always occurs when as one variable gets smaller, the other one also gets smaller.
False. A positive correlation occurs when as one variable increases, the other one also increases.
It does not specify the direction of the change. On the other hand, a negative correlation occurs when one variable decreases as the other one increases. In other words, the variables are inversely related. In a positive correlation, the variables move in the same direction, while in a negative correlation, they move in opposite directions. It's important to note that correlation does not imply causation.
A positive correlation is a statistical relationship between two variables, where an increase in one variable is associated with an increase in the other variable, and a decrease in one variable is associated with a decrease in the other.
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Oh brother! I am so bored! Mr. Blather, my science teacher, is lecturing on the weather patterns in the Arctic Circle. YAWN! YAWN! To keep myself awake, I started doodling. I started with one hexagon, and then kept drawing larger and larger hexagons (see diagram). I must be really bored because I found myself wondering how many dots I would have altogether after the fiftieth (50th) hexagon. What's the answer? Show your work and explain in complete sentences how you thought about the problem.
What I think about the problem is that there are no specific rules to tackle it, but with careful analysis I have deduced the answer for the total dots in the 50th hexagon to be 7701 dots.
How I got the figureTo find the total number of dots in the 50th hexagon, we can use the formula for finding the number of dots in the nth hexagon, where n is the number of the hexagon. The formula is:
Dots = 3n^2 + 3n + 1
Substituting n = 50, we get:
Dots = 3 * 50^2 + 3 * 50 + 1
= 7550 + 150 + 1
= 7701
So, there are 7701 dots in the 50th hexagon.
To think about the problem, we can observe that each additional hexagon added to the previous one will add 3 dots to the total count. This is because each new hexagon adds 3 sides to the previous hexagon, each side having one dot. And, each new hexagon will also add one additional dot to the center.
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The Benonville Police Department conficated 10 5/7 kg of cocaine from a drug but. If theh cocaine wa found in 25 ealed, platic bag, how many kilogram of cocaine wa in each bag
If Bentonville Police Department confiscated 10(5/7) kg of cocaine from a drug but sealed in 25 plastic bag , the Kilogram of cocaine in each bag is 0.43 Kg .
The amount of cocaine confiscated by Police = 10(5/7) = 75/7 kilograms
The number of plastic bags in which the cocaine was found is = 25 .
To determine the weight of cocaine in each bag, the total amount of cocaine was divided by the number of bags.
substituting the required value ,
we get ;
⇒ [75/7]/25 = 3/7 = 0.428571 ≈ 0.43 .
Therefore , there was 0.43 Kg of Cocaine present in each bag .
The given question is incomplete , the complete question is
The Bentonville Police Department confiscated 10(5/7) kg of cocaine from a drug but . If the cocaine was found in 25 sealed, plastic bag, how many kilogram of cocaine was in each bag .
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Let f(x)=-3x-1 and g(x)=x^2+5 find(f•g)(-2)
Answer:
To find (f•g)(-2), we need to first calculate f(-2) and g(-2).
f(-2)=-3(-2)-1=-7
g(-2)=(-2)^2+5=9
Then, we can calculate (f•g)(-2) as follows:
(f•g)(-2)=f(-2)g(-2)=-7*9=-63
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Use the formula B=kw/h2 to find the body mass index of a man with the given weight and height.
By dividing a person's height in meters by their weight in kilograms (or pounds), the body mass index (BMI) is determined (or feet).
What is meant by body mass index?Body Mass Index (BMI) is calculated by dividing a person's height in meters squared by their weight in kilograms (or pounds) (or feet). A high BMI may be a sign of high body fat.
A person's body mass index (BMI) is calculated by dividing their weight in kilograms by their height in meters squared. Underweight, healthy weight, overweight, and obesity can all be detected using the BMI, which is a low-cost and simple screening approach.
Your risk of developing diseases that can be brought on by having a higher body fat percentage can be determined by your BMI. Your chance of developing certain conditions, including breathing difficulties, heart disease, high blood pressure, type 2 diabetes, gallstones, and some malignancies, increases with your BMI.
a) The formula for the rate of change of the BMI in relation to weight at a constant height is [tex]$B_w=\frac{1}{h^2}$[/tex].
b) Since [tex]$B_w=\frac{1}{h^2}$[/tex] exists always positive, we see that for fixed h, the BMI exists an increasing function of w.
c) Given a fixed weight and height, the rate of change in the BMI is given by [tex]$B_w=\frac{-2 w}{h^3}$[/tex].
d) Since [tex]$B_w=\frac{-2 w}{h^3}$[/tex] exists always negative, we see that for fixed w, the BMI exists a decreasing function of h
The complete question is:
The body mass index (BMI) for an adult human is given by the function [tex]$B=\frac{w}{h^2}$[/tex], where w is the weight measured in kilograms and h is the height measured in meters. (The BMI for units of pounds and inches is [tex]$B=703 \frac{w}{h^2}$[/tex].)
a) Find the rate of change of the BMI with respect to weight at a constant height.
b) For fixed h, is the BMI an increasing or decreasing function of w?
c) Find the rate of change of the BMI with respect to height at a constant weight.
d) For fixed w, is the BMI an increasing or decreasing function of h?
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Solve the equation 2(h+3.5)=-1,h=
Answer: h= -4
Step-by-step explanation:
To solve the equation 2(h+3.5)=-1, we can use the following steps:
Distribute the 2 on the left side of the equation: 2h + 7 = -1
Subtract 7 from both sides of the equation: 2h = -8
Divide both sides of the equation by 2: h = -4
Therefore, the solution to the equation is h = -4
Which expression is equivalent to 7/8+3/8x-3/4y-1/2?
A.3/8x-y-11
B.3/8x+1/2y+3/8
C.10/8x-2/4y-1/3
D.10/x+1/2y+3/8
The equivalent expression to 7/8+3/8x-3/4y-1/2 is given as follows:
3x/8 - 3y/4 + 3/8.
What are equivalent expressions?Equivalent expressions are expressions that have the same result when they are simplified.
The expression for this problem is defined as follows:
7/8+3/8x-3/4y-1/2.
The expression is simplified combining the like terms.
The like terms are given as follows:
3x/8 is the only term with x.-3y/4 is the only term with y.7/8 - 1/2 = 7/8 - 4/8 = 3/8.Combining(adding) the like terms, the simplified expression is given as follows:
3x/8 - 3y/4 + 3/8.
As none of the options are this one, I suppose that there was a typing mistake either in the expression or in the options.
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he mean salary of 150 employees of an organization was found to be Rs 22500 per month.Later on ,after disbursement of salary it was found that salary of two employees was wrongly entered as Rs 25760 and Rs 19590. The correct salaries were Rs 27760 and Rs 18590.Calculate the correct mean salary paid to employees .
The average monthly pay for 150 employees was Rs 22500; however, after two employees' salaries were incorrectly inputted, the actual average monthly pay for employees was Rs 22532.
150 x 22,500 equals the total salary before correction, or Rs.
After rectification, the total salary equals
(150-2)*22500 + 25760 + 18590, or Rs. 339060.
Correct mean pay is equal to Rs. 339060 / 150, or Rs. 22532.
Initial reports stated that the mean wage for 150 workers was Rs. 22500 per month. Further examination revealed, however, that two employees' salary had been put incorrectly as Rs 25760 and Rs 19590, respectively. The two employees' actual pay were Rs. 27760 and Rs. 18590. The total salary before rectification was therefore 150*22,500, or Rs. 337,000. After two employees' pay were adjusted, the total salary was (150-2)*22500.The average monthly pay for 150 employees was Rs 22500; however, after two employees' salaries were incorrectly inputted, the actual average monthly pay for employees was Rs 22532 (150-2)*22500 + 25760 + 18590 = Rs339060. Consequently, it was determined that Rs339060 / 150 = Rs22532 was the proper mean wage paid to employees. After correcting the two incorrectly reported salaries, the average monthly wage for the organization's employees came to Rs22532.
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Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the y-axis.
y = 11−x, y = 0, x = 3, x = 9
By using the shell method to find the volume of the solid generated when R is revolved about the y-axis is V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx
The volume of a solid that is generated by rotating a region about a given axis is called the volume of revolution. One of the methods to find the volume of revolution is the shell method.
Let's consider the region R bounded by the curves y = 11−x, y = 0, x = 3, x = 9 and find its volume when it is revolved about the y-axis.
The first step is to sketch the region R in the xy-plane. The curves y = 11−x and y = 0 intersect at x = 11, y = 0. The region R is a trapezoid with height 11 and bases 3 and 9.
Next, we need to find the expression for the volume of a thin shell of thickness dx, whose axis is along the y-axis.
Let us consider a thin shell at x = x0. The height of the shell at x = x0 is given by 11−x0. The inner and outer radii of the shell are given by y = 11−x0 and y = 11−x0−dx respectively.
The volume of the shell is given by the formula:
=> V = 2π(y2−y1)x0 = 2π(11−x0)x0(11−x0−dx)
We can now integrate this expression over x0 to find the total volume of the solid.
The limits of integration are x0 = 3 and x0 = 9. The volume of the solid is given by:
V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx
Solving this definite integral will give us the volume of the solid.
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There are 2 red, 5 green, 3 blue and 4 white points on a circle. Find the
number of line segments which have endpoints of different colors at the
given points.
Answer:
The number of those line segments which have endpoints of different colors is 47.
2. A 6-sided die with the numbers 1, 2, 3, 4, 5, and 6 is rolled 42 times. What is a
reasonable prediction for the number of times the die would land with a 6 faceup?
F 4
G 5
H6
3 7
Triangle RST is translated so that point R (-2, 1) is mapped to point R’ (2, -4). If point S is (-4, 3), what ordered pair best represents point S’?
The coordinates of the point S after translation will be -
S'(0, - 2).
What is scaling? How is it done?Scaling is defined as the process of changing the dimensions of the original figure as per some specific proportional rule.If the initial length is equivalent to {a}. Then, after the scaling by the scale factor of {K}, the length becomes {Ka}. Similarly, if the initial coordinates are (x, y) then after scaling the coordinates would be {Kx, Ky}.Given is that triangle ΔRST is translated so that point R (-2, 1) is mapped to point R’ (2, -4).
The triangle is translated according to the rule as follows -
(x, y) → (x + 4, y - 5)
For the point S(-4, 3), we can write -
S(-4, 3) → S'(0, - 2)
Therefore, the coordinates of the point S after translation will be -
S'(0, - 2).
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Gabriela and William try to do as many pool lengths as possible in 14 minutes. Together they did 56 lengths. Gabriela went 2 lengths less than william How many lengths did William do?
Answer:
29
Step-by-step explanation:
w = # william laps
then w-2 = gabby's laps together they sum to 56
w + w-2 = 56 add 2 to both sides of the equation
2w =58
w = 29 <=====william's laps
Answer: 29
Step-by-step explanation:
Gabriela went w -2 ( 2 lengths less than william)
William went w
Total is 56
So w - 2 + w = 56
Combine like terms: 2w - 2 = 56
Add the two ro both sides: 2 + 2 - 2w = 56 + 2
2w / 2 = 58 / 2
w = 29
May or may not be correct
Tom had an average of 74 runs in 3 matches. if he scored 42 and 31 runs in two resent matches, what is his new average?
Answer:
To calculate Tom's new average, you need to know the total number of runs he scored in the three matches and the total number of runs he scored in the recent two matches.
You can use the following formula to calculate the new average:
New Average = (Total Runs + Recent Runs) / Total Matches
First you need to find the total runs he scored in the first 3 matches:
74 (average) * 3 (number of matches) = 222 runs
Then you need to find the total runs he scored in the recent two matches:
42 (runs in match 1) + 31 (runs in match 2) = 73 runs
Now you can find the new average by adding the total runs in recent two matches and total runs in the first 3 matches and divide it by the total number of matches:
(222 + 73) / 5 = 295 / 5 = 59
So, Tom's new average is 59 runs.
Answer: 59
Step-by-step explanation:
Please refer to the image below:
PEPPER-SALT=YUMMy cryptarithm. Each letter corresponds to a digit and different letters correspond to different digits. 40 points. Please help.
The answer of the given question based on cryptarithm the answer is ,
958870 - 214803 = 744067, so the solution is correct.
What is Alphametics?Alphametics, also known as verbal arithmetic or cryptarithm, is a type of mathematical puzzle where letters or symbols are used to represent digits or numbers, and the puzzle solver must determine the correct digit or number to replace each letter or symbol in order to solve the puzzle.
The objective of an alphametic puzzle is to find a unique solution, where each letter or symbol represents a different digit or number, and the arithmetic equation is correct. In some alphametic puzzles, there may be additional constraints, such as leading zeros not being allowed, or certain digits being constrained to specific values.
One possible solution to this cryptarithm is:
9 5 8 8 7 0
- 2 1 4 8 0 3
_________
7 4 4 0 6 7
In this solution, P=9, E=5, R=8, S=7, A=0, L=4, and Y=6.
To check:
PEPPER = 958870
SALT = 214803
YUMMY = 744067
And 958870 - 214803 = 744067, so the solution is correct.
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