What is the solution to the system of equations 2x-5y=-5 and x+2y=11?
order the set of numbers from least to greatest
11/20, 1/2, 0.51
a. 0.51, 11/20, 1/2
b. 1/2, 0.51/, 11/20
c. 1/2, 11/20, 0.51
d. 0.51, 1/2, 11/20
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
[tex]\frac{11}{20},\frac{1}{2},0.51[/tex]
Now, we have to arrange the set of numbers from least to greatest.
So, for this we have to make the denominator same ,
[tex]\frac{11\times 5}{20\times 5}=\frac{55}{100}[/tex]
Similarly,
[tex]\frac{1\times 50}{2\times 50}=\frac{50}{100}[/tex]
Similarly,
[tex]\frac{51}{100}[/tex]
Numbers In increasing order :
[tex]\frac{50}{100},\frac{51}{100},\frac{55}{100}\\\\\frac{1}{2},0.51,\frac{11}{20}[/tex]
Hence, Option 'b' is correct.
True or false. If (7x+4) is a factor of some polynomial function F, then 4/7 is a zero of F. Please help!
False, If (7x+4) is a factor of some polynomial function F, then - 4/7 is a zero
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zer then it is confirmed that x - a = 0 is a factor.
Given (7x + 4) is a factor of a polynomial function F.
Then, 7x + 4 = 0.
7x = -4.
x = - 4/7 is a root of the polynomial F or a zero of the polynomial F.
learn more about the factors of a polynomial here :
https://brainly.com/question/26354419
#SPJ2
Let x be a random variable that takes values from 0 to 9 with equal probability 1=10. find the pmf of the random variable y = x mod (3).
The pmf of the random variable y = x mod (3) is: P(y=0) = 0.4, P(y=1) = 0.3, and P(y=2) = 0.3.
Explanation:The random variable y can take on the values 0, 1, and 2, since those are the possible remainder values when x is divided by 3. We need to find the probability mass function (pmf) of y, which represents the probabilities of each possible value of y. The pmf of y can be calculated by finding the probability of each possible value of y based on the probability distribution of x and dividing it by the total number of possible values of x. Since x takes values from 0 to 9 with equal probability, the pmf of y is:
P(y=0) = P(x=0) + P(x=3) + P(x=6) + P(x=9) = 1/10 + 1/10 + 1/10 + 1/10 = 4/10 = 0.4
P(y=1) = P(x=1) + P(x=4) + P(x=7) = 1/10 + 1/10 + 1/10 = 3/10 = 0.3
P(y=2) = P(x=2) + P(x=5) + P(x=8) = 1/10 + 1/10 + 1/10 = 3/10 = 0.3
Learn more about Probability Distribution Function (PDF) here:https://brainly.com/question/32620731
#SPJ2
The ruby- throated hummingbird has a wing beat of about 200 beats per second. About how many wings beats would a huming bird have in 3 minutes
write an algebraic expression for the word phrase 9 less than half a number
The algebraic expression for the word phrase '9 less than half a number' is x/2 - 9.
Explanation:To write an algebraic expression for the word phrase '9 less than half a number,' we first need to define a variable to represent the number. Let's say the number is 'x.' Half of 'x' can be written as 'x/2.' Then, we subtract 9 from 'x/2,' which gives us the algebraic expression: x/2 - 9.
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
#SPJ2
The algebraic expression for '9 less than half a number' is written as 1/2n - 9, where 'n' stands for the number.
To write an algebraic expression for the word phrase '9 less than half a number', you need to break down the phrase into mathematical terms. Firstly, consider 'half a number'; this can be represented as 1/2n where 'n' is the variable representing the number. The phrase '9 less than' indicates a subtraction of '9' from 'half a number'. Therefore, the algebraic expression would be 1/2n - 9.
Write the expression as the sine, cosine, or tangent of an angle. cos 8x cos 2x - sin 8x sin 2x
Answer:
cos (A - B) = cos 6 x
Step-by-step explanation:
given equation,
= cos 8 x . cos 2 x - sin 8 x . sin 2 x
using identity
cos (A - B) = cos (A) . cos(B) - sin (A) . sin(B)...................(1)
cos 8 x . cos 2 x - sin 8 x . sin 2 x......................................(2)
comparing both the equation (1) and (2)
we get ,
A = 8 x B = 2 x
hence, from the above identity we can see that
cos (A - B) = cos (8 x - 2 x)
cos (A - B) = cos 6 x
Find the minimum and maximum of f(x, y, z) = y + 4z subject to two constraints, 2x + z = 4 and x2 + y2 = 1. g
Danny charges 35 dollars for 3 hours of swimming lessons. Martin charges 24 dollars for 2 hours of swimming lessons. Who offers a better deals?
a child is to receive a dose of 0.5 teaspoon of cough medicine every 4 hours. if the bottle contains 60 doses, how many days will the medicine last?
Kelly read 30 pages of her 300 page book on 6 hours at this rate how long will it take her to read the entire book
the circle graph shows the result of a survey conducted on 700 people . how many of them liked apple pie the best
which of these is the absolute value parent function?
A. f(x) = |x| – 2
B. f(x) = |x|
C. f(x) = |2x|
D. f(x) = |x| + 1
Answer:
The correct option is B. The absolute value parent function is f(x) = |x|.
Step-by-step explanation:
The absolute parent function is a function where
[tex]f(x)=x[/tex] and [tex]f(-x)=x[/tex]
The graph of absolute function is v-shaped and vertex of the function is (0,0).
According to these conditions the absolute value parent function is
f(x) = |x|
The function f(x) = |x| – 2 shifts 2 units down.
The function f(x) = |2x| stretch by factor 2.
The function f(x) = |x| + 1 shifts 1 units up.
Therefore the correct option is B.
which is another way to write this number? (3 x 1,000) + (3 x 10) (3 x 1/100) + (3 x 1/1000)
The equivalent expression to (3 x 1,000) + (3 x 10) + (3 x 1/100) + (3 x 1/1000) is 3030.033. This result doesn't require simplification through Exponential or Scientific notation since it's not an especially large or small value.
Explanation:The student's question is asking for an alternative way to write the number produced by the mathematical operation: (3 x 1,000) + (3 x 10) + (3 x 1/100) + (3 x 1/1000). This is a combination of addition and multiplication involving decimal places. It can also be expressed in exponential notation:
First simplify and solve the individual operations: (3 x 1,000) = 3000, (3 x 10) = 30, (3 x 1/100) = 0.03, and (3 x 1/1000) = 0.003.Next, add your results: 3000 + 30 + 0.03 + 0.003 = 3030.033.So, another way to write the stated combination of multiplication and addition operations is 3030.033. The Exponential notation might not be an ideal replacement in this specific case since the result is not a large or small number which normally requires this notation. Scientific notation, (which uses powers of ten to express larger or smaller numbers), could most effectively be implemented if our final result was a very large or very small number.
Learn more about Number Simplification here:https://brainly.com/question/37891518
#SPJ12
Joan can type 50 letters in three hours. When Jill helps, they can do the job in one hour. How long would it have taken Jill to do the job alone?
Answer:50 in 1.5 hours.
Step-by-step explanation:
If Joan can do 50 in 3 hours, then in 1 hour, that’s 50/3.
Jill completes the rest of the 50, so 50-(50/3) is how many letters Jill can type in an hour.
50-(50/3)=(150/3)-(50/3)=100/3 letters in an hour. If Jill can write 100 letters in 3 hours, then she can write 50 in 1.5 hours.
Evaluate the expression shown for x=12 -5/6×+7
Answer:
-3
Step-by-step explanation:
The given expression is
[tex]-\frac{5}{6}x+7[/tex]
We need to find the value of given expression for x=12.
Substitute x=12 in the given expression.
[tex]-\frac{5}{6}(12)+7[/tex]
Cancel out the common factors.
[tex]-5\times 2+7[/tex]
After multiplication, we get
[tex]-10+7[/tex]
After subtraction, we get
[tex]-3[/tex]
Therefore, the value of given expression for x=12 is -3.
A triangle has the side lengths 5, 7, and 11. Which term best describes the triangle? A) acute B) equiangular C) equilateral D) obtuse
Answer:
D) Obtuse
Step-by-step explanation:
Samir works 15 hours for every 19 hours that Mitul works. If x represents the number of hours that Mitul works and y represents the hours that Samir works, which equation correctly models this relationship?
Answer:
[tex]y=\frac{15}{19}x[/tex]
Step-by-step explanation:
Let
x-----> the number of hours that Mitul works
y-----> the hours that Samir works
by proportion
[tex]\frac{x}{y}=\frac{19}{15}\\ \\19y=15x\\ \\y=\frac{15}{19}x[/tex]
Red and grey bricks were used to build a decorative wall. There were 140 bricks used in all. How many red bricks were used?
To find the number of red bricks used to build the decorative wall, we can set up a system of equations. By solving the equations, we find that all 140 bricks used were red bricks.
Explanation:To find the number of red bricks used, we can set up a system of equations.
Let r represent the number of red bricks and g represent the number of grey bricks.
We know that there were 140 bricks used in total, so we can write the equation: r + g = 140.
Since we specifically want to find the number of red bricks, we can write the equation: r = 140 - g.
By substituting this expression for r in the first equation, we get: 140 - g + g = 140.
Simplifying the equation, we find that 140 - g + g = 140 - g + g = 140.
Therefore, 140 - g = 140, and solving for g, we find that g = 0.
This means that no grey bricks were used and all 140 bricks used were red bricks.
how much should Tabatha budget monthly for insurance that costs $956.89 for the entire year?
Simplify.
9y+11z+7y−4z
What is the answer?
A. 23yz
B. 2y + 7z
C. 16y + 7z
D. 16y + 15z
Answer:
C. (16y + 7z)
Step-by-step explanation:
9y + 11z + 7y - 4z
1. Simplify the y's: 9y + 7y = 16y
16y + 11z - 4z
2. Simplify the x's: 11z - 4z = 7z
16y + 7z
Answer:
16y+7z
Step-by-step explanation: no thanks im good
When finding the length of the hypotenuse of a right triangle why might you approximate the answer
Sample Response:: If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.
A farmer owns 42 acres of land, of the 42 acres, only 85% can be farmed. How many acres are available for farming?
what is the prime factorization of 2^3x3x5^2
Marty's cat weighs 10.4 pounds. This is 24.4 pounds less than the weight of his dog. Write and solve a subtraction equation to find the weight of Marty's dog
Anna is shopping for a new backpack. The probability that the backpack is pink is 0.7, and the probability that it is canvas is 0.7. The probability that it is pink and canvas is 0.5. What is the probability that it is pink or canvas.
Answer: The required probability is 0.9.
Step-by-step explanation: Given that Anna is shopping for a new backpack. The probability that the backpack is pink is 0.7, the probability that it is canvas is 0.7 and the probability that it is pink and canvas is 0.5.
We are to find the probability that the backpack is either pink or canvas.
Let, 'A' and 'B' be the events that the backpack is pink and canvas respectively.
Then, according to the given information, we have
[tex]P(A)=0.7,~~P(B)=0.7,~~P(A\cap B)=0.5,~~~P(A\cup B)=?[/tex]
From the law of probability, we have
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow P(A\cap B)=0.7+0.7-0.5\\\\\Rightarrow P(A\cap B)=1.4-0.5\\\\\Rightarrow P(A\cap B)=0.9.[/tex]
Therefore, the required probability that the backpack is either pink or canvas is 0.9.
compare the decimals <, >, or = 0.73 ___ 0.7300
0.73 = 0.7300 is our answer.
Given,
0.73 and 0.7300
We have to compare these decimal numbers.
What is the inequality used to compare two numbers?< = less than
> = greater than
= means equal
≤ = less than or equal to
≥ = greater than or equal to
We have,
0.73 = 73 / 100
There are two numbers after the decimal point.
We divide it by 100.
0.7300 = 7300/1000 = 73/100
There are four numbers after the decimal point.
We divide it by 10000.
We see that both the decimal numbers are equal.
Thus 0.73 = 0.7300
Learn more about comparing decimal numbers with whole numbers here:
https://brainly.com/question/123818
#SPJ2
Mitchell found a job listed in the classified ads that pays a yearly salary of $57.300. what is the weekly salary based on this annual salary?
The weekly salary based on this annual salary will be $1.102.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Mitchell found a job listed in the classified ads that pays a yearly salary of $57.300.
Now,
Since, Mitchell found a job listed in the classified ads that pays a yearly salary of $57.300.
We know that;
In 1 yea, The number of weeks = 52
Hence, The weekly salary based on this annual salary = $57.300 ÷ 52
= $1.102
Thus, The weekly salary based on this annual salary will be $1.102.
Learn more about the divide visit:
https://brainly.com/question/15330585
#SPJ2
Texasxhic101.
I am adding you to help me
Which statement is modeled by the expression?
A) 100/p The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100/p tokens.
B) One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100/p.
C) After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are p players in the league, 100/p is the number of uniforms the league had originally.
D) Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100/p
Answer:
Option A is correct
Step-by-step explanation:
I know this because I am in k12 online school and it said it was: The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens. I hope this helps! Have a fantastic day!