a) The sum of two natural numbers is x + y < 22.
b) The total number of tablets and personal computers manufactured is t + c ≤ 180.
c) The spending limit on seeding costs for tomatoes and potatoes is 100t + 200p ≤ 9,000.
d) The minimum number of cats and dogs Wei wants to buy from the breeder is c ≥ 8, d ≥ 10, and the total cost is 35c + 150d ≤ 1,700.
a) Let x and y be natural numbers. The inequality representing the sum of two natural numbers being less than 22 is x + y < 22.
b) Let t represent the number of tablets and c represent the number of personal computers manufactured in one day. The inequality representing the plant equipment limitation is t + c ≤ 180.
c) Let t represent the number of acres planted with tomatoes and p represent the number of acres planted with potatoes. The inequality representing the seeding cost limitation is 100t + 200p ≤ 9,000.
d) Let c represent the number of cats and d represent the number of dogs bought from the breeder. The inequalities representing the number of pets and cost limitations are c ≥ 8, d ≥ 10, and 35c + 150d ≤ 1,700.
To learn more about inequality visit : https://brainly.com/question/30238989
#SPJ11
Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
Know more about the difference of number, here
https://brainly.com/question/18591813
#SPJ4
I need this answer please tell me the answer
Answer:
less than
\(1 \frac{1}{2} \)
I believe
Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
Know more about sophomore here:
https://brainly.com/question/23382435
#SPJ4
The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
which one ?
it says i need 20 characters so i’m just typing this
Reflect shape A in the line y = -x
Answer:
Step-by-step explanation:
convert the polar equation to rectangular coordinates. (use variables x and y as needed.) r = 2 csc()
In this conversion, we assume that θ is not equal to 0 or any multiple of π, as csc(θ) is undefined for those values.
In rectangular coordinates, the equation r = 2csc(θ) can be expressed as:
x = 2cos(θ)
y = 2sin(θ)
To convert the polar equation r = 2csc(θ) to rectangular coordinates, we need to express the equation in terms of x and y.
In polar coordinates, r represents the distance from the origin (0,0) to a point (x, y), and θ represents the angle between the positive x-axis and the line segment connecting the origin to the point.
To convert r = 2csc(θ) to rectangular coordinates, we can use the following relationships:
x = r * cos(θ)
y = r * sin(θ)
First, let's express csc(θ) in terms of sin(θ):
csc(θ) = 1 / sin(θ)
Now, substitute r = 2csc(θ) into the equations for x and y:
x = (2csc(θ)) * cos(θ)
y = (2csc(θ)) * sin(θ)
Using the relationship between csc(θ) and sin(θ), we can rewrite the equations as:
x = (2/sin(θ)) * cos(θ)
y = (2/sin(θ)) * sin(θ)
Simplifying further:
x = 2cos(θ)
y = 2sin(θ)
Therefore, in rectangular coordinates, the equation r = 2csc(θ) can be expressed as:
x = 2cos(θ)
y = 2sin(θ)
Note: In this conversion, we assume that θ is not equal to 0 or any multiple of π, as csc(θ) is undefined for those values.
To learn more about polar equation
https://brainly.com/question/27814316
#SPJ11
Correct question- How do you convert the polar equation r = 8cscθ into rectangular form?
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.
Answer: it will take 5 hours to reach -1 °F.
Step-by-step explanation:
The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(the starting point)
d represents the common difference.
n = x = the number of terms in the sequence(number of hours)
From the information given,
a = 0(at 1 pm, number of hours is 0)
d = - 4 degrees (it is decreasing)
Tn = -1 °F.
We want to determine the number of hours, x when Tn = -1 °F
Therefore,
- 1 = 0 + (x - 1)- 4
- 1 = - x + 4
x = 4 + 1
x = 5 hours
Pls help and actually answer the question pls
Answer:
y = |x - 1|
Step-by-step explanation:
This is an absolute value function in the form g(x) = |x - h| + k, where
(h, k) is the vertex, (1, 0). Substitute these values into the function to get the equation of the graph:
y = |x - 1| + 0 = |x - 1|
Need help asap work due in under 40 minutes
Answer:
m∠FAL = 119°
Step-by-step explanation:
math help please and thank you
for what? :) .
...................
Insert 5 arithmetic means between 18 and -12.
The 5 arithmetic means between 18 and -12 are; -7, -2, 3, 8, 13
What is the Arithmetic Mean?Arithmetic Means is defined as the branch of mathematics that deals with the properties as well as the manipulation of numbers.
The formula for the nth term of an arithmetic mean is;
an = a + (n - 1)d
where;
a is first term
d is common difference
n is position of term
In this case, we want 5 terms between 18 and -12 and this means we have a total of 7 terms. Thus;
a = -12
a₇ = 18
18 = -12 + (7 - 1)d
18 + 12 = 6d
30 = 6d
d = 5
a₂ = -12 + (2 - 1)5
a₂ = -12 + 5
a₂ = -7
a₃ = -12 + (3 - 1)5
a₃ = -12 + 10
a₃ = -2
a₄ = -12 + (4 - 1)5
a₄ = 3
Thus;
a₅ = 8
a₆ = 13
Read more about arithmetic mean at; https://brainly.com/question/20118982
#SPJ1
Which expression is equivalent to 6x2/3??
A. 3 x 1/3
B. 4 x 1/3
C. 8 x 1/3
D. 12 x 1/3
Please help ASAP!!
Answer:
D. 12 x 1 / 3
Step-by-step explanation:
6 x 2 / 3
= ( 6 x 2 ) / 3
= 12 / 3
= 12 x 1 / 3
solve the following
2(X+3)=X-4
Answer:
2(x+3)=x-4
2x+6=x-4
2x-x=-4-6
x=-10
A(n) _______ design is used when the researcher wants to test a relationship between existing variables, and a(n) _______ design is used when a research wants to test a causal link between variables.
A(n) "correlational" design is used when the researcher wants to test a relationship between existing variables. This design aims to determine the degree to which two variables are related or associated with each other. In a correlational design, the researcher measures the variables of interest and examines the statistical relationship between them, typically using correlation coefficients.
On the other hand, a(n) "experimental" design is used when a researcher wants to test a causal link between variables. In an experimental design, the researcher manipulates one or more independent variables and measures the effect on a dependent variable. By controlling for confounding variables and using random assignment, an experimental design allows for causal inferences to be made.
It's important to note that while correlational designs can provide valuable insights into the relationships between variables, they do not establish causality. Experimental designs, on the other hand, provide stronger evidence for causal relationships by systematically manipulating variables.
A(n) \(\textbf{correlational}\) design is used when the researcher wants to test a relationship between existing variables.
A(n) \(\textbf{experimental}\) design is used when a researcher wants to test a causal link between variables.
To know more about Evidence visit-
brainly.com/question/30780436
#SPJ11
What is the slope of a line perpendicular to the given line plz
Answer:
it should be the negative repirocal of -2 so 1/2
Answer:
mPerpendicular= 1/2
Step-by-step explanation:
What is the area of the figure?
(NEED THE ANSWER ASAP. PLEASE DONT PUT ANYTHING NONSENSE OR I'LL REPORT U. THANK U FOR UR HELP)
The area of the given figure is 12 square meters
The given figure is a parallelogram
Parallelogram is a geometric figure that has both pair of opposites parallel sides and opposite sides are equal . Number of vertices and edges are four
The height of the parallelogram = 2 meters
The base length of the parallelogram = 6 meters
The area of the parallelogram = The height of the parallelogram × The base length of the parallelogram
Substitute the values in the equation
The area of the parallelogram = 2 × 6
Multiply the numbers
= 12 square meters
Therefore, the area is 12 square meters
Learn more about parallelogram here
brainly.com/question/29147156
#SPJ4
I have solved the question in general , as the given question is incomplete
The complete question is :
What is the area of the figure ?
Times for the three parts of a journey are 20 minutes 40 minutes 1 hour and 30 minutes work out the total time for the journey give your answer in hours
Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.
What is a fraction?
The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.
Main Body:
total time = 20 minutes + 40 minutes + 1 hour 30 minutes
= 2.5 hours or 5/2 hours.
Hence total time for journey is 2.5 hours.
to learn more about fraction click on the link below.
https://brainly.com/question/17220365
#SPJ4
an interior design working with a computer program decreases the radius of a circular rug by 10%. By what percent does the area of the circular rug decrease?
Please give an explanation on how to solve this problem, thanks!
Answer:
The decrease is 21%
Step-by-step explanation:
So lets say the Original area is Pi X (Radius^2)
Lets call Radius as R
For the new radius, it would be: R + 0.1R which is 1.1R
The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.
The Original area is: Pi X Radius^2
To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%
I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)
Answer:
19%
Step-by-step explanation:
I got it correct in the rsm
Factor the expression.
12x+10
Work Shown:
12x+10
2*6x+2*5
2(6x+5)
Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.
The distributive property in general is a*(b+c) = a*b+a*c
1) Find the Greatest Common Factor (GCF).
1 What is the largest number that divides evenly into 12 and 10?
It is 2.
2 What is the highest degree of that divides evenly into 12and 10?
It is 1, since x is not in every term.
3 Multiplying the results above,
The GCF is 22.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\(2(\frac{12x}{2}+\frac{10}{2})\)
3) Simplify each term in parentheses.
2(6x+5)
Pls answer ASAP it is almost due TYSMMM
There are 357 people attending a school play.
Assuming that all but one row of seats in the
theatre is completely full and that each row fits
24 people, how many rows of seats are there in
the theatre?
There are 15 rows of seats in the theater
How to determine the number of rows?The given parameters are:
Total number of people = 357People per row = 24The number of rows is calculated as:
Rows = Total number of people/People per row
This gives
Rows = 357/24
Evaluate the quotient
Rows = 14.875
Round up the number
Rows = 15
Hence, there are 15 rows of seats in the theater
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ1
$131,701. 32 is what percent of $790,207. 91?
To find the percentage, we can use the following formula:
Percentage = (Part / Whole) * 100
So, $131,701.32 is approximately 16.67% of $790,207.91.
In this case, the part is $131,701.32 and the whole is $790,207.91.
Percentage = ($131,701.32 / $790,207.91) * 100
Calculating the value:
Percentage ≈ 0.1667 * 100
Percentage ≈ 16.67%
Therefore, $131,701.32 is approximately 16.67% of $790,207.91.
Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:
Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%
So, $131,701.32 is approximately 16.67% of $790,207.91.
If you have any further questions, feel free to ask!
Learn more about Percentage here
https://brainly.com/question/24877689
#SPJ11
Uva vez. Cuando esto sucede y se tiene un número intermina
ble o infinite de cifras en la parte decimal del numero, a este se le conoce como numero
decimal periódico; es decir, son números decimales que corresponden a las tracciones
que no son equivalentes a una fracción decimal
preguntas y desous
Lata de explicarle to
que entendiste.
s para obte-
Ejemplo: El número decimal 01, donde la Unea sobre la cifra indica que el número se
repite En la conversion
Residuo
-010-010 5 - 01m, et simbolo – significa "apro-
ximadamente iguala", pues 01,010 on son aproximaciones de
3
e residuo?
4. Escriban las fracciones como número decimal y determinen si se trata de un núme-
ro decimal finito o periódico.
.
.
= 0.2
.
12 = 1.75
sel divi-
0.0>
13
2 름
a) ¿Las fracciones cuya expresión en número decimal es periódica tienen una
fracción decimal equivalente? Justifiquen su respuesta. S.
durerador
b) Expliquen cuándo una fracción se puede representar como número decimal fini-
to y cuándo como número decimal infinito periódico y viceversa.
lenominadores
bo?
SANTANA
Expresas fracciones no decimales mediante aproximaciones con numeros
decimales finitos y mediante números decimales periodicos.
Answer:
can you translate please and i well answer your question!
Step-by-step explanation:
1. a medical researcher needs 10 people to test the effectiveness of an experimental drug. if 20 people have volunteered for the test, in how many ways can 10 people be selected?
The number of the ways in which the 10 people will be selected is 92378.
What are permutations and combinations?Permutations and combinations are the numerous methods by which objects from a set can be picked to form subsets, often without replacement.
It is given that a medical researcher needs 10 people to test the effectiveness of an experimental drug. if 20 people have volunteered for the test.
The number of ways in which 10 people will be selected for the test are,
Number of the ways = ²⁰C₁₀
Number of the ways = (20!)/(10!(20-10)!)
Number of the ways = ( 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 ) / ( 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2x 1 )
Number of the ways = 32378
Therefore, the number of the ways in which the 10 people will be selected is 92378.
To know more about permutation and combination follow
https://brainly.com/question/4658834
#SPJ1
every year rob reads 12 less books than his friend.
let t represent the number of books that rob reads and let b represent the number of books that his friend reads.
write an equation to represent the relationship between t and b
What is -7(1-4m)=13(2m-3)
Answer:
It is m = -16.
Step-by-step explanation:
-7 (1 - 4m) = 13 (2m - 3)
-7 + 28m = 26m -39
2m - 7 = -39
2m = - 32
m = -16
Answer:
m = -16
Step-by-step explanation:
-7(1 - 4m) = 13(2m - 3)
Distribute -7 into (1 - 4m), and distribute 13 into (2m - 3):
-7(1 - 4m) = 13(2m - 3)
-7 + 28m = 26m - 39
Add 7 to both sides of the equation:
-7 + 28m + 7 = 26m - 39 + 7
28m = 26m - 32
Subtract 26m from both sides of the equation:
28m - 26m = 26m - 32 - 26m
2m = -32
Divide both sides by 2 to solve for m:
\(\frac{2m}{2} = \frac{-32}{2}\)
m = -16
a researcher records the average age for a group of 25 preschool children selected to participate in a research study. the average age is an example of a statistic.
Statistics is the branch of mathematics that deals with collecting, analyzing, and interpreting data. A statistic is a numerical value that represents a property of a sample of data. A statistic is used to estimate an unknown parameter in a population.
An example of a statistic is the average age of a group of preschool children selected to participate in a research study. The average age is calculated by summing the ages of all the children in the group and dividing by the total number of children. The result is a single number that represents the average age of the group. The use of statistics is essential in research studies, as it helps to make sense of the data collected.
The population from a sample of data. Statistics also helps to identify patterns, trends, and relationships in the data. The average age of a group of 25 preschool children selected to participate in a research study is an example of a statistic.
To know more about Statistics visit:
https://brainly.com/question/31538429
#SPJ11
how do you write 36.87 in scientific notation
the graph of g(x) = x³ -9x² + 3x -1 is translated up 5 units to produce the graph of the function h(x). what would be the new equation of h(x)
Answer:
h(x) = x^3 - 9x^2 + 3x + 4
Step-by-step explanation:
To write the new equation, we have to understand what the translation is about
What it means is that we are going to add the 5 units to the total value of the equation
we have this as:
h(x) = x^3-9x^2 + 3x-1 + 5
h(x) = x^3 - 9x^2 + 3x + 4
The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?
Answer:
\(s = \sqrt{2a} \)
Step-by-step explanation:
A = 0.5S^2
2A = S^2
Therefore,
\(s = \sqrt{2a} \)
To express the length in terms of the area, is an illustration of change of subject of formula.
The equation that express S in terms of the area is: \(S =\sqrt{2A}\)
Given that:
\(A = \frac 12S^2\)
First, multiply both sides by 2
\(2 \times A = \frac 12S^2 \times 2\)
\(2 \times A = S^2\)
\(2A = S^2\)
Take positive square roots of both sides
\(\sqrt{2A} = \sqrt{S^2\)
\(\sqrt{2A} = S\)
Rewrite the equation as:
\(S =\sqrt{2A}\)
Hence, the equation that express S in terms of the area is: \(S =\sqrt{2A}\)
Read more about subject of formula at:
https://brainly.com/question/21866313
Evaluate (18)^2-(15)^2
Please show working.
Answer:
99
Step-by-step explanation:
You can solve it by Squaring/multiply 18 by itself and 15 by itself then subtract them both:
(18 × 18) - (15 × 15)
324 - 225
99
You could also do difference of two squares:
(x² - y²)
= (x + y) (x - y)
= (18 + 15) (18 - 15)
= (33) (3)
= 99
Answer:
99Step-by-step explanation:
Evaluate
= (18)^2-(15)^2
= 324 - 225
= 99