The total number of athletes, the football club has is 180.
Given, In the football club, 36 footballers are Latvian, while there are 4 times the footballers of other nationalities.
as, footballers that are Latvian = 36
now, footballers of other nationalities = 4×36
footballers of other nationalities = 144
so the total number of footballers = 144 + 36 = 180
Therefore, the total number of athletes, the football club has is 180.
Hence, the total number of athletes, the football club has is 180.
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an experiment involves selecting a random sample of 256 middle managers for study. one item of interest is their annual incomes. the sample mean is computed to be $35,420.00. if the population standard deviation is $1,650.00, what is the standard error of the mean?
Answer:
Step-by-step explanation:
mu = 35,420 sigma = 2,050 n = 256 s...
Complete the table below.
The missing values that completes the table is shown in the attachment below.
How to Complete a Table?To complete the table that is given in the table above, plug in the value of x into the equation and solve accordingly.
For x = 1, substitute the value of x into y = 3x² and y = 3^x:
y = 3(1)²
y = 3(1)
y = 3
y = 3^(1)
y = 3
For x = 2, substitute the value of x into y = 3x² and y = 3^x:
y = 3(2)²
y = 3(4)
y = 12
y = 3^(2)
y = 9
The complete table is shown below.
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Which of the following sets of numbers can be the lengths of the sides of a triangle?
2.6, 8.1, 10.2
6, 7, 13
1.2, 10.5, 2.1
6, 6, 12
Answer:6, 6, 12
Step-by-step explanation
2 sides must be equal which means 6 and 6 points are moving towards each other and 12 is the length
The length of a rectangle is the sum of the width and 1. the area of the rectangle is 30 units. what is the width,in units, of the rectangle
The width is 5 units.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
length = width + 1
let the width be x
length= x+ 1
So, area of rectangle= l x w
30 = x( x+ 1)
x² + x - 30=0
x² + 6x - 5x - 30=0
x( x+ 6) - 5(x +6)= 0
(x+ 6)( x- 5)= 0
x= -6 or 5
Hence, the width is 5 units.
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-
Find the equation of a line parallel to x - 4y = 36 that passes through the point
(-4,-5).
The equation of a line parallel to x - 4y = 36 is x - 4y = 16.
If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.
Now, writing the given equation in slope-intercept form,
x - 4y = 36
4y = x - 36
[tex]y=\frac{1}{4}x-9[/tex]
By comparing it with slope-intercept form, we get
[tex]m=\frac{1}{4}[/tex]
c = -9
Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],
[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]
The equation of parallel line is x - 4y = 16.
Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.
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Pls Help BrainliestBegging u PlsPLS!!!!!!!!!!!!
How many positive three-digit integers have at least one digit that is a 5 or a 7?
Answer:
452 integers------------------------
Three-digit integer in the form of abc.
Possible numbers for each digit
a - 1 to 9, nine options,b and c - 0 to 9, ten optionsLet a = 5 or 7, then for a we have 2, for b and c 10 options:
5bc or 7bc2*10*10 = 200Let b = 5 or 7, then for a we have 9 - 2 = 7, for b 2 and for c 10 options
a5c or a7c7*2*10 = 140Let c = 5 or 7, then for a we have 9 - 2 = 7, for b 10 - 2 = 8 and for c 2 options
ab5 or ab77*8*2 = 112Total options200 + 140 + 112 = 452Question 4 (10 points)
(02. 07 MC)
The figure shows triangle ABC and line segment PQ, which is parallel to BC:
Triangle ABC has a point P on side AB and point Q on side AC. The line PQ is parallel to the line BC.
Part A: Is triangle ABC similar to triangle APQ? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle APQ corresponds to line segment BC? Explain your answer. (3 points)
Part C: Which angle on triangle APQ corresponds to angle B? Explain your answer. (2 points)
Part a: ΔABC≈ΔAPQ
Part b: The line segment PQ corresponds to the line segment BC.
Part c: Angle P in APQ triangle angle equates to angle B.
Define the term similarity rule of triangles?If two triangles have a similar ratio of adjacent angles and an equal proportion of corresponding sides, they are comparable. When two or more objects share the same shape but differ in size, they are referred to as comparable figures.Part a: line segment PQ parallel to BC; PQ||BC
Thus, ∠ABC =∠APQ AND, ∠ACB=∠AQP
So, by (AA similarity rule)
ΔABC≈ΔAPQ
Part b: The line segment APQ on the triangle corresponds to the line segment BC:
By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).
Part c: APQ triangle angle equates to angle B:
Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).
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Enrique predicts that he can make additional money from sales of accessories and service for computer products sold by his store. The table at the right shows predicted percent returns for such sales. For example, if the store makes x dollars selling computer products, Enrique predicts the store with make 0.05x dollars from selling accessories. Part A In January and February of this year, the store made $2,500 from sales of accesories and services. Let x represent the amount the store with make from sales of computer products from March through December. Write an equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year. If Enrique predicts sales from accessories and services for the entire year will be $5,000, about how much money must be made from computer product sales from March through December? Explain.
The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).
Given that:
Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store.
The store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars ($0.05) from selling accessories.
The following steps can be used in order to determine the equation that represents the predicted amount y:
Step 1 - According to the given data, the store makes x dollars selling computer products.
Step 2 - It is also given that, in January and February of this year, the store made $2,500 from sales of accessories and services.
Step 3 - So, the linear equation that represents the given situation is:
y = 0.05x + 2500
Hence the answer is The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).
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15 POINTS HELP!
A liquid used to unclog sinks has a pH value of 14. This liquid is _____.
neutral
an acid
a base
Answer:
A base
Step-by-step explanation:
its not an acid bc a ph level of 14 means is has a strong base.
A garden designer designed a square decorative pool. The pool is surrounded by a walkway. On two opposite sides of the pool, the walkway is 8 feet. On the other two opposite sides, the walkway is 10 feet. The final design for the pool and walkway covers a total area of 1,440 square feet. ---------- a. The side length of the square pool is x. Write an expression that represents: 1. The total length of the rectangle (including the pool and walkway) 2. The total width of the rectangle (including the pool and walkway) 3. The total area of the pool and walkway b. Write an equation of the form: your expression = 1,440. What does a solution to the equation mean in this situation?
Part 1: The total length of the rectangle; 20 + x (Expression).
Part 2: The total width of the rectangle; 16 + x (Expression).
Part 3: The total area of the pool along with walkway; (20 + x)(16 + x).
Define the term area of the rectangle?The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.The data for the question is given as-
The boardwalk around the pool is 8 feet long and on two different sides. The walkway is 10 feet wide on either two opposite sides. The pool and walkway's final design takes up a total of 1,440 square feet.The side length of the square pool is x.The expressions for the given cases are-
Part 1: The total length of the rectangle;
The total length of the rectangle = 10 + 10 + x
The total length of the rectangle = 20 + x (Expression)
Considering; 10 + 10 > 8 + 8
Part 2: The total width of the rectangle;
The total width of the rectangle = 8 + 8 + x
The total width of the rectangle = 16 + x (Expression)
Part 3: The total area of the pool along with walkway.
Area = length x breadth
Area = (20 + x)(16 + x).
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Megan bought 60 donuts for study club. She told the worker at the donut
shop that she wanted 60% of the donuts to be chocolate glazed. How
many of the donuts should be chocolate-glazed? (hint - simplify)
Out of 60 donuts there are 36 chocolate-glazed donuts.
What is donuts?
A leavened, fried dough product is known as a doughnut or donut. It is a common sweet snack that can be made at home or bought in bakeries, supermarkets, food stands, and franchised specialty retailers. It is produced in a variety of ways.
Given: Megan bought 60 donuts for study club.
She told the worker at the donut shop that she wanted 60% of the donuts to be chocolate glazed.
Let the total donuts are 60.
And the 60% of 60 are,
60 x 0.6 = 36
Therefore, 36 donuts are chocolate - glazed.
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HELPPPPPPPPPP
A) 2
B) 3
C) 4
D)5
Answer:
it's b extra words. extra words. extra words. extra words
Step-by-step explanation:
I took the test
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x= 0 1 2 3 4 5, P(x)= 0.1666 0.3275 0.2875 0.1489 0.0382 0.0313. The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Compute the theoretical mean of the random variable X for the given probability distribution. (Round to three decimal places as needed.)
For a single game, the mean and the standard deviation of the number of hits is given as follows:
Mean: 1.659 hits.Standard deviation: 1.209 hits.For 25 games, the mean and the standard deviation are:
Mean: 1.659 hits.Standard deviation: 0.242 hits.For 50 games, the mean and the standard deviation are:
Mean: 1.659 hits.Standard deviation: 0.171 hits.This shows that as the number of trials increase, the standard error reduces.
How to obtain the mean and the standard deviation of a discrete distribution?The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 0 x 0.1666 + 1 x 0.3275 + 2 x 0.2875 + 3 x 0.1489 + 4 x 0.0382 + 5 x 0.0313 = 1.659 hits.
The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values, hence:
S(X) = sqrt((0-1.659)² x 0.1666 + (1-1.659)² x 0.3275 + (2-1.659)² x 0.2875 + (3-1.659)² x 0.1489 + (4-1.659)² x 0.0382 + (5-1.659)² x 0.0313) = 1.209.
Central Limit TheoremFor the repetition of n experiments, we have that the mean remains constant, while the standard deviation is given as follows:
s = S(X)/sqrt(n).
Meaning that it is divided by the square root of the sample size.
Hence, for 25 games, the standard deviation is:
S(X) = 1.209/sqrt(25) = 0.242.
For 50 games, the standard deviation is:
S(X) = 1.209/sqrt(50) = 0.171.
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Casey's Mail Manufacturing is a company that produces chain mail. Their most popular product is saw-cut metal links that hobbyists can use to make their own creations. The company recently spent $100 on advertising, which they hope to make back quickly. The wire used to produce one gram of links costs $2, but the finished links sell for $3 per gram. Eventually, the company will make back its investment and break even. How many grams of links must be sold?
In order to a breakpoint or the total cost = total investment company must need to sell 100 grams of links.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the number of links that are needed to solve for a breakpoint is x.
Cost of x number of links with the rate of $2/gram = 2x
Total cost = total selling
100 + 2x = 3x
3x - 2x = 100
x = $100
Hence "In order to break even point or the total cost = total investment company must need to sell 100 grams of links".
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the student council at westford high school is making t-shirts to sell for a fundraiser, at a price of $10 apiece. the costs, meanwhile, are $6 per shirt, plus a setup fee of $72. selling a certain number of shirts will allow the student council to cover their costs. what will the costs be? how many shirts must be sold?
Cost will be $180 and so will be the revenue.
What is linear equation ?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
CalculationCost: C=72+6s, where s is the number of shirts sold
Revenue: R=10s
Break-even is where they are equal
72 + 6s = 10s
72/4 = s
s = 18 shirt s
Cost will be $180 and so will be the revenue.
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The length of a rectangle is the sum of the width and 2. The area of the rectangle is 63 units. What is the width, in units, of the rectangle?
Answer:
WITDTH=7
Step-by-step explanation:
width = w
length = w + 2.
w(w + 2) = 63 (area)
quadratic equation in w:
w2 + 2w = 63
w2 + 2w - 63 = 0
FACTOR:
(w + 9)(w - 7) = 0
9-7=2
9x(-7) = -63
Two possible solutions:
w + 9 = 0 (solution w = -9) or
w - 7 = 0 (solution w = 7)
The width must be positive, the answer is 7 units.
length = w+2
length = 9
An object is traveling at a steady speed of 10 and 1 tenth mi/h. How long will it take the object to travel 1 and 9 tenth mi? First round to the nearest integer to find the estimated answer. Then find the exact answer. (First Person To Answer Gets A Surpise!!)
Estimated Answer=1/2 hour
Exact Answer= 49/101 hour
Step-by-step explanation:
Steady speed of the object =10 and one tenth km/h = 10 1/10 km
Distance to be Covered=4 and nine tenths km = 4 9/10 km
To the nearest integer,
Steady speed of the object = 10 km/hr
Distance=5km
= 5/10 =1/2 hr
The estimated answer is 1/2 hr.
The exact time taken is 49/101 hours
30 POINTS AND BRAINIEST PLEASE HELP ASAP!!!!
Part A: Given the function g(x) = |x − 5|, describe the graph of the function, including the vertex, domain, and range. (5 points)
Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 3, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answer:
Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)
Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2
The pitch at Old Trafford in Manchester,
England is 105 meters long and 68 meters
wide. What is the distance from one corner of
the field to the opposite corner, as denoted by
the dashed line in the picture to the left
The distance from one corner of the field to the opposite corner, using the Pythagorean Theorem, is of:
125 meters.
What is the Pythagorean Theorem?The Pythagorean Theorem is a geometry axiom relating the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:
[tex]h^2 = l_1^2 + l_2^2[/tex]
From the situation described in this problem, we have that:
The legs are the length and the width of the field, of 105 meters and 68 meters, respectively.The hypotenuse is the length from one corner to the opposite corner.Hence the distance from one corner of the field to the opposite corner is obtained as follows:
d² = 68² + 105²
d = sqrt(68² + 105²)
d = 125 meters.
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Given the linear function f(x) = -4x+8, what is the value of x if f(x) = 24?
Answer:
[tex]f(x) = - 4x + 8 = 24 \\ \\ = > - 4x + 8 = 24 \\ \\ => - 4x = 24 - 8 = 16 \\ = > - 4x = 16 \\ = > x = \frac{ - 16}{4} = - 4 \\ \\ [/tex]Step-by-step explanation:
Sᴏ ᴛʜᴇ value of x= -4
x = -4
Step-by-step explanation:
Solution:-
[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]
In order to find the value of x, put 24 in the place of f(x) (given) then,
[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]
[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]
[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]
We should find the value of x. So divide bith the sides by -4. then,
[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]
[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]
A floral shop earns an average yearly revenue of $195,280. Which compound inequality correctly shows the amount of money, m, the floral shop needs each month to pay for rent if the monthly budget for rent is between 10% and 15%? $375.54 sm≤ $563.31 $751.08 sm≤ $1,126.62 $1,627.33 sm ≤ $2,441.00 $1,502.15 sm s $2,523.23
The monthly budget for rent is $1,627.33 ≤ m ≤ $2,441.00
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let m represent the monthly rent of the shop.
The average yearly revenue is $195,280. Hence:
Monthly revenue = $195,280 / 12 = $16273.33
If the monthly budget for rent is 10%, hence:
m = 10% of $16273.33 = 0.1 * $16273.33 = $1627.33
If the monthly budget for rent is 15%, hence:
m = 15% of $16273.33 = 0.15 * $16273.33 = $2441.00
$1,627.33 ≤ m ≤ $2,441.00
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Helen draws a random circle.
She then measures
its diameter and circumference.
She gets a
circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm
correct to 2 significant figures.
Helen wants to find the value of rt using the formula
T= G
Calculate the upper bound for Helen's value of TC.
Give your answer correct to 3 decimal places.
If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.
How to find upper and lower bound?Upper bound
405 = 405.999
130 =130.99
Lower bound
405 = 405.001
130 =130.01
Now let find the upper and lower bound
Upper bound = 405.999/130.01
Upper bound =3.123
Lower bound = 405.001 /130.99
Lower bound = 3.092
Therefore the upper bound is 3.123.
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Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?
Answer:
140
Step-by-step explanation:
140
Can you please help me in this question.
Answer:
Don't know if i did it right but i think it is:
a=14
b=6
c=5
A radar tends to overestimate the distance of an aircraft, and the error is a normal random variable with a mean of 50 meters and a standard deviation 100 meters. What is the probability that the measured distance will be smaller than the true distance?.
Check answer below in the image.
graph the solution of the inequality x ≤ 3
The solution of x ≤ 3 depicts that all the value of x is either less than 3 or equal to 3, so option C is correct.
What is number line?In mathematics, numbers are shown visually as a straight line on a number line. The numerals on a number line are positioned in a specific order and spaced out equally throughout its length. Since it can go on forever in any direction, it is frequently presented horizontally.
The expression x ≤ 3 depicts that the value of x is less than 3 or equal to 3, this can be represented in the image attached below.
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25) If a number, n, divided by 8 equals 2.5, what is n?
26) The sum of a number, n, and 6.05 is 12.4. What is n?
27) Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
28) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The solutions for the equations in each of the questions given are as follows;
25). The number, n in which case equals 2.5 when divided by 8 is; n = 20.26). The number n which sums up with 6.05 to equal 12.4 is; n = 6.35.27). Stacy's age as required is; 9 years.28). The entire job takes 72 hours.What is the solution for the given equations?It follows from the task content that the solution for all of the given word problems are to be determined.
25. If a number, n, divided by 8 equals 2.5, what is n?
The algebraic representation is; n/8 = 2.5.
Hence, the value of n is; n = 8 × 2.5 = 20.
26. The sum of a number, n, and 6.05 is 12.4. What is n?
The algebraic representation is; n + 6.05 = 12.4.
Hence, the value of n is; n = 12.4 - 6.05 = 6.35.
27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
The algebraic representation is; 36/4 = n.
Hence, Stacy's age, n is; n = 9.
28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The algebraic representation is; n/3 = 24.
Hence, the value of n is; n = 3 × 24 = 72 hours.
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What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
x = -3
x = 3
x = 6
The solution of quadratic equation 8x² = 6 + 22x is x = 3 and x = -1/4
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
Given expression is,
8x² = 6 + 22x
Rewrite this expression as,
8x² - 6 - 22x = 0
8x² - 22x - 6 = 0
Now, we get the form quadratic equation i.e, ax² + bx + c = 0
Solve the equation and find roots
8x² - 22x - 6 = 0
2(4x² - 11x - 3) = 0
4x² - 11x - 3 = 0
4x² - 12x + x - 3 = 0
Take common terms out,
4x(x - 3) + 1(x - 3) = 0
we get the brackets same that means we're on right way,
(4x + 1) (x - 3) = 0
split the values into two,
4x + 1 = 0 and x - 3 = 0
4x = -1 x = 3
x = -1/4
Therefore, the solution of quadratic equation 8x² = 6 + 22x is x = 3 and x = -1/4
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In a candy box, there are 3 times as many candies with nuts as candies without nuts. There are 12 candies in the box. How many candies with nuts are in the box?
Step-by-step explanation:
In a candy box, there are 3 times as many candies with nuts as candies without nuts. There are 12 candies in the box. How many candies with nuts are in the box?
let:
without nuts = x
with nuts = 3x
so:
x + 3x = 12
4x = 12
x = 3, so there are 3 candies without nuts.
Because there are three times more candies with nuts than without:
3 * 3 = 9 candies with nuts
Answer:
9 candies with nuts
Step-by-step explanation:
Suppose the number of candies is x
there three times as many candies with nuts as candies without nuts, so 3x
there are 12 candies in total
3x+x=12
4x=12
x=3
3x=9
Triangle DEF with coordinates D(0, 0), E(3, 1), and F(3, 0) is similar to triangle EGH. If G has
coordinates (9, 3), what are the coordinates for H?
The coordinates for H are (9,2)
What are the coordinates?
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
Here, we have
D(0, 0), E(3, 1), and F(3, 0) is similar to triangle EGH.
coordinates are (x,y) = (x+6,y+2)
F's coordinate is (3,0)
using the coordinates we get (9,2)
Hence, the coordinates of H are (9,2)
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