The greatest number of flowers in each group is 20.
What is the greatest number number of flowers in each group?In order to determine the greatest number number of flowers in each group, the highest common factor of 100 roses and 60 daises have to be determined.
The factor of a number is a number that divides a number perfectly into whole numbers. The highest common factor is the highest factor that is common to two or more numbers
Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50 and 100.
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.
Common factors of 100 and 60 - 1, 2, 5, 10, 20
Highest common factor = 20
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The monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year. The Bainters want to calculate their monthly rent over time.
What is an appropriate way to calculate the monthly rent over time?
Your answer should include
a specific strategy or model that you could use
an explanation of how you would use that model to solve the problem
The appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
How to calculate the value?From the information, it was stated that the monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year and that the Bainters want to calculate their monthly rent over time.
Therefore, the appropriate expression will be:
= 1190 × (1 + 1.7%)^n
where n = number of years
= 1190 × 1.017^n
Therefore, the appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
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A square rug has an area 77 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
s = √77
it is not rational since 77 not a perfect square
Step-by-step explanation:
area = s^2 = s * s = 77
==> s = √77
The length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
A. Write the perimeter y of the walkway in terms of x.
B. Determine the slope of the graph in part A. For each additional one meter increase in the width of the walkway, determine the increase in its perimeter.
The perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.
The perimeter will be calculated as:-
Perimeter = 2 ( W + L )
Perimeter = 2 [ ( 15 + 2x ) + ( 10 + 2x ) ]
Perimeter = 2 ( 10 + 2x + 15 + 2x )
Perimeter = 2 ( 25 + 4x )
y = 50 + 8x
Compare the equation with the general form of the equation:-
y = 50 + 8x
y = mx + c
Slope = 8
Therefore, the perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.
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Find the value of x.
37%
53°
X°
139°
Answer:
Step-by-step explanation:
x + 139 + 37 + 53 = 360
x + 229 = 360
x = 360-229
x = 131 degrees
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=[tex]\frac{1}{2}[/tex]×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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interval notation, and domain and range
The domain and the range of the graph in interval notation are (-∝, ∝) and [-3, ∝) respectively
What is the domain and the range of a function?The domain of the function is the set of input values of the graph while the range of a function is the set of output values of the graph.
How to determine the domain and the range of the function?The graph represents the given parameter
Based on the definition above, the range of a function is the set of y values of the graph while the domain is the set of x values of the graph
On the graph, we can see that:
The x values extend indefinitely on the graph;
This means that the domain is (-∝, ∝)
While y values start from -3 and increases up
This means that the range is [-3, ∝)
Hence, the domain and the range of the function in interval notation are (-∝, ∝) and [-3, ∝) respectively
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what’s the measure of angle CEB?
Factor completely.
81p^8 - 100
=
Answer:
(9p^4+10)(9p^4−10)
Write 8.977 as a ratio of two integers.
Answer:8977/1000
Step-by-step explanation:
The value of 8.977 as a ratio of two integers would be equal to 8977/1000
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to Write 8.977 as a ratio of two integers.
We know that negative divided by a negative is positive, then;
8.977 can be written as;
8977/1000
Therefore, The value of 8.977 as a ratio of two integers can be written as
8977/1000
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Simplify the expression 10 7/8 - 4.37 by first converting the mixed number to a decimal. Provide the answer in decimal form.
Answer:
6.505
Step-by-step explanation:
[tex]\frac{7}8}[/tex] Put in your calculator 7 ÷ 8 and you will get .875
So, 10 [tex]\frac{7}{8}[/tex] is 10.875 now subtract this from 4.37. You can line up the decimals and then subtract or just have the calculator do this for you, if you are allowed.
10.875 - 4.37 = 6.505
WILL MARK BRAINIEST AND GIVE POINTS PLS SOLVE THESE THREE PROBLEMS
Answer: 1. -4<n<4
2. n<-3 or n>19
3. n<=-36 or n>=44
Step-by-step explanation:
n=number
units from a number is measured using absolute value sign
1. 4 units from 0: |n-0|<4 ==> |n|<4
n<4, n>-4 ==> -4<n<4
2. 11 units from 8: |n-8|>11
n-8>11
n-8+8>11+8
n>19
n-8<-11
n-8+8<-11+8
n<-3
n<-3 or n>19
3. half a number is at 2 units from 20: |n/2-2|>=20
n/2-2>=20
n/2>=22
n>=44
n/2-2<=-20
n/2<=-18
n<=-36
n<=-36 or n>=44
V/3 +3 = v/4 find value of v
The solution to the linear equation is v = -36
How to solve the linear equation?
Here we have a simple linear equation:
v/3 + 3 = v/4
To solve this, we need to isolate the variable v.
First, let's move all the terms with "v" to the left and the terms without to the right side, so we get:
v/3 - v/4 = -3
Now we can solve this:
4v/12 - 3v/12 = -3
v/12 = -3
v = -3*12
v = -36
The solution to the linear equation is v = -36
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If f(x) = 5x + 40, what is f(x) when x = –5?
–9
–8
7
15
The value of f(x) when x equals -5 is 15. Option D
What is a function?A function can be defined as an expression, law or rule that explains the relationship between two variables;
The independent variableThe dependent variableGiven the function;
f(x) = 5x + 40
To determine the value of the function when x = - 5, we have to substitute the value of x as -5 in the function.
With this, we have;
f(-5) = 5(-5) + 40
Now, expand the bracket
f(-5) = -25 + 40
Add the values, we have;
f(-5) = 15
We can see that the value of the function with the input of the variable x as -5 is 15
Thus, the value of f(x) when x equals -5 is 15. Option D
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Solve the system of equations.
y=9x+14
y=6x+35
x=
y=
The solution of the system of equations are x = 7 and y = 77
Given data
y = 9x + 14
y = 6x + 35
How to solve the system of equationssolving using substitution method to solve the simultaneous equation we have
y = 9x + 14 equation 1
y = 6x + 35 equation 2
equating the both equations will give
9x + 14 = 6x + 35
9x - 6x = 35 - 14
3x = 21
x = 7
plugging x = 7 into equation 1
y = 9x + 14
y = 9 * 7 + 14
y = 63 + 14
y = 77
The solution of the system of equations are x = 7 and y = 77
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What is the value of the expression 3xy^(2)-x^(2) when x=2 and y=3
Step-by-step explanation:
3xy² - x²
x = 2, y = 3
well, we simply replace every variable in the expression by the actual value and calculate.
3×2×3² - 2² = 6×9 - 4 = 54 - 4 = 50
Question 3(Multiple Choice Worth 2 points)
(Order of Operations with Radicals LC)
Simplify the expression.
20(6) − 7
113
20
−20
−113
The simplification of the expression 20(6) - 7 using the laws of equation gives 113
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
20(6) - 7
Firstly, solve the equation inside the bracket to get:
120 - 7
Taking the difference of the two terms gives:
113
The simplification of the expression 20(6) - 7 using the laws of equation gives 113
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YOU WILL BE GIVEN 95 POINTS!!! PLEASE AWNSER ASAP!!!
A 150-pound person uses 5.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 170 calories?
Answer:
If it takes one minute to use 5.7 calories, it’ll take 190/5.7 minutes to use 190 calories. This simplifies to 100/3 minutes. So this person must walk for 33 minutes and 20 seconds to use 190 calories (assuming the rate of calorie usage remains constant throughout).
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.7 years, with a standard deviation of 3.2 years. The winner in one recent year was 31 years old.
The transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).
Given:
Population mean,
μ=27.7 years
Population standard deviation,
σ=3.2 years
Winner's age =31 years
According to given question we have
If "x" represents the age of the winner then the z-score for "x":
z=x−μ/σ
a) Transforming the winner's age to a z-score
z=31−27.7/3.2
=1.03
(b) Interpretation of the z-score:
The winner's age of 31 years is 1.03 standard deviation below the mean age of the winners.
Therefore, the transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.
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To find the
a) Transforming the winner's age to a z-score
(b) Interpretation of the z-score
is missing
Which Are the correct answers A B C D?
Answer:
A. You can write the number as a Ratio of two entegers
D. You know what the next number is
How can you solve real world problems involving integers
We use Integers in everyday life when we solve real-world problems.
Let’s understand a real-life problem using integers.
Christian borrowed $1000 to buy a computer. After some time, she has paid back $250. How much does Christian still owe?
First, we will write a simple equation to represent the problem.
Let the amount that Christian still owes = 'x'
1000 = 250 + x
Now, we will rearrange the equation to isolate .
Then, solve for x.
The answer is 750.
Christian still owes = $750.
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I forgot how to do this graph thing with algebra so If you could please explain it to me that would be great :)
Answer: D
Step-by-step explanation: It said the grandparents were less than 89 years old, if it said that the grandparents that were 89 and younger had remembered that's when you would use a solid circle because the 89 would be included. But since 89 isn't included then it's an open circle.
Maya and Praisy are planting corns on a same farm. Maya plants 4 rows and Praisy plants 6 rows. If Mayas corns are ready to be picked in 8 weeks, how many weeks will it take Praisys corn to ready?
It will take 12 weeks for Praisys corn to be ready for picking.
We have been given that,
Maya plants corns In = 4 rows
Praisy plants corns in = 6 rows
Maya corns ready to be picked in = 8 weeks
We have to find the number of weeks will it take Praisys corn to be ready for picking.
To find we will use the unitary method that is,
4 rows = 8weeks
6 rows = 8/4*6 weeks
= 12 weeks
Thus 12 weeks will it take Praisys corn to be ready for picking.
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how to measure the area of a half moon
Answer:
[tex]\frac{\pi r^2}{2}[/tex]
Step-by-step explanation:
The area of a semicircle is half the area of a circle
The area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle, and [tex]\pi[/tex] is a mathematical constant, approximately 3.14. The area of the semicircle is half the area of the circle, or [tex]\frac{\pi r^2}{2}[/tex].
Suppose that Nacho takes a multiple choice test. The test has 4 questions. Each question has 4 choices.
What is the probability that Nacho will get all 4 questions wrong?
The probability that Nacho will get all 4 questions wrong will be 0.3164.
How to illustrate the information?From the information, Nacho takes a multiple choice test, the test has 4 questions and each question has 4 choices.
The probability of getting the correct option is 1 out of 4 which is 0.25 and the incorrect option is 0.75.
Therefore, the probability that Nacho will get all 4 questions wrong will be:
= (0.75)⁴
= 0.3164
Therefore, the probability that Nacho will get all 4 questions wrong will be 0.3164.
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15 feet
The perimeter is
E
Find the perimeter and area of the square pictured above.
The area is
0
feet.
square feet.
Answer:
Step-by-step explanation: You could try to times 15 by each side or add them or turn it into an expression like E*15=0
May I please get some help on my math question
Find all the integer solutions of each system of intequalities. 12a - 37 > 0, 6a ≤ 42. Any right answer is named brainliest !
Answer:
For 12a - 37 > 0 answer is a > 37/12
For 6a ≤ 42 answer is a ≤ 7
Step-by-step explanation:
A pretzel factory has daily fixed costs of $1200. In addition, it costs 40 cents to produce each bag of pretzels. A bag of pretzels sells for $1.80. (a) Find the rule for the cost function c(x) that gives the total daily cost of producing x bags of pretzels. c(x)= enter your response here (Simplify your answer.) Part 2 (b) Find the rule of the revenue function r(x) that gives the daily revenue from selling x bags of pretzels. r(x)= enter your response here (Simplify your answer.) Part 3 (c) Find the rule of the profit function p(x) that gives the daily profit from x bags of pretzels. p(x)= enter your response here (Simplify your answer.)
The rule for the cost function c(x) that gives the total daily cost of producing x bags of pretzels will be 1200 + 0.4x
b. The revenue function will be 1.80x.
c. The profit function p(x) is 1.4x - 1200.
How to illustrate the information?It should be noted that fixed cost = 1200
Also, it costs 40 cents to produce each bag of pretzels. Therefore, the cost function will be:
= 1200 + 0.4(x)
= 1200 + 0.4x
The revenue function will be:
= Price × Quantity
= 1.80 × x
= 1.8x
c. The profit function p(x) will be:
= Revenue - Cost
= 1.8x - 1200 + 0.4x
= 1.4x - 1200
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Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Round your answers to one decimal place. Class limits Frequency 11–13 1 14–16 16 17–19 11 20–22 7 23–25 1 26–28 2
The variance and standard deviation for the given frequency of pupils per teacher in some states of US is
Variance= 4.62 = 4.6
Standard Deviation = 2.14 = 2.1
The frequency distribution shows the average number of pupils per teacher in some states of the United States.
Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data. On the other hand, if data consists of individual data points, it is called ungrouped data. The sample and population variance can be determined for both kinds of data.
The standard deviation(σ) of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means Standard Deviation = √variance.
For the given data the sum of frequencies(ni) = 1+16+11+7+1+2= 38.
Midpoint(mi) is 12,15,18,21,24,27.
ni * mi = 12,240,198,147,24,54.
Sum of ni * mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)^2 is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)^2 = 175.62.
Variance = Sum of (mi - u)^2 / sum of frequencies
=> 175.62/38
=> 4.62 = 4.6.
Standard deviation = √variance.
=> √4.62
=> 2.14 = 2.1.
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Γ(n+2) = (n+1)!
Prove it using Γ(n+1)=n Γ(n)
PLEASE HELP 30 POINTS!!