Answer:
ax - by = k
Step-by-step explanation:
A literal equation is an equation made up of variables representing numbers that can be changed
ax - by = k is a literal equation because there are no numbers
Letters stand for each item
63.5+2.25÷0.75−6 • 1881 Heeeeeeeeeeeeeelp please
Answer: 750,519
Step-by-step explanation:
1st: multiply terms
2nd: divide terms
3rd: add terms
4th: subtract your last two terms
I hope this helps!
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax + b < cx + d.
The requried, possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
To describe the possible solution sets of the inequality ax + b < cx + d, we need to isolate the variable x on one side of the inequality and simplify.
ax + b < cx + d
ax - cx < d - b
x(a-c) < d - b
x < (d - b)/(a-c)
So the solution set for the inequality is all values of x that are less than the quotient of (d - b) divided by (a-c).
Therefore, the possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
Learn more about inequality here:
brainly.com/question/14098842
#SPJ9
A shopkeeper bought a table for 250.50 he sold it for 300.50 find his profit and loss
Answer:
Profit = selling price - buying price
Profit = 300.50 - 250.50
Profit = 50
He sold the table at a Profit of 50, hence he has no loss.
He has a profit of 50 and no loss.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that shopkeeper bought a table for 250.50 he sold it for 300.50
Profit = selling price - buying price
Profit = 300.50 - 250.50
Profit = 50
He sold the table at a Profit of 50, Therefore, he has no loss.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
1⁄3 · n = 10 is the equation I can't figure out
Answer:
30
Step-by-step explanation:
1/3*30=30/3
30/3=10
Hope this helps! =D
1 2/3 - (-5 2/3) plsssssssssssssss helppppppppppppppppp
Answer:
\(7\frac{1}{3}\)
Step-by-step explanation:
Answer:
i think its 7 1/3 but i may be wrong check that befoer u answer- i did this stuff like 2 years ago
Step-by-step explanation:
I don't understand plz help
Answer:
The equation that represent x, the height of the sign is;
\(2a = 3x\)
Step-by-step explanation:
Given that the area of the triangular yield is A square feet
and it has a base length of 3 feet.
also the height is represented by x;
\(b = 3ft \\ h = x\)
Recall that the area of a triangle can be written as;
\(a = \frac{1}{2} bh\)
substituting the given;
\(a = \frac{1}{2} \times 3 \times x \\ a = \frac{3}{2} x \\ 2a = 3x\)
Therefore, the equation that represent x, the height of the sign is;
\(2a = 3x\)
What is the percent of change from 74 to 35?
Round to the nearest percent.
Answer:
Step-by-step explanation:
52%
The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False
The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.
Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.
Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.
Learn more about nullspace visit:
brainly.com/question/31745967
#SPJ11
Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5
Sophia throws a dart at this square-shaped target:
part a: is the probability of hitting the black circle inside the target closer to 0 or 1? explain your answer.
part b: is the probability of hitting the white portion of the target closer to 0 or 1? explain your answer.
Part a: The probability of hitting the black circle inside the target is closer to 0.
The black circle appears to be a relatively small area within the larger square-shaped target. Assuming Sophia's dart can hit any point within the target with equal probability, the probability of hitting the small black circle is lower compared to hitting any other point within the larger target area. Therefore, the probability of hitting the black circle is closer to 0 than to 1.
Part b: The probability of hitting the white portion of the target is closer to 1.
The white portion of the target comprises the majority of the square-shaped target area, excluding the black circle. Assuming Sophia's dart can hit any point within the target with equal probability, the probability of hitting the white portion is higher compared to hitting the small black circle. Therefore, the probability of hitting the white portion is closer to 1 than to 0.
To learn more about probability, click here: brainly.com/question/14210034
#SPJ11
If 4x2-x-4=0, then find the value of (x-1/x).
In both cases, (x-1/x) will amount to 0.
How to solveTo discover the value of (x-1/x), first resolve the prescribed quadratic equation: \(4x^2 - x - 4 = 0.\)
Using the classic quadratic formula, x = \((-b ± \sqrt{(b^2 - 4ac)) / 2a}\), we acquire two probable solutions for x: x1 = 1 and x2 = -1.
Now, compute (x-1/x) for each value:
For x1 = 1: (1-1/1) = 0
For x2 = -1: (-1 - 1/(-1)) = 0
It follows that, in both cases, (x-1/x) will amount to 0.
Read more about algebra here:
https://brainly.com/question/432678
#SPJ1
SQUARES AND SQ
1. Which of the following is a true statement? 2.
a
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c.To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number. cimal in the
Only the third statement (c)"To square a number multiply the number by itself" is true.
The square of any number is defined as the product of the number and itself .
Let us consider a number a , then the square of a is denoted by a² and a² = a × a .
Let us take each statement and verify if they are true or false.
a)"To square a number, multiply the number by 2"
this is false as to square we have to multiply the number with itself.
example: 3²=9 but 3 × 2 = 6
b)The second statement is also false because square-root of a number is different than dividing a number by 2.
Example: √16=4 but 16÷2=8
c) "To square a number, multiply the number by itself."
This statement is true .
d) a perfect square is defined as a number whose square-root is an integer (both odd and even)
9 is a perfect square and √9=3 which is odd
Therefore the fourth statement is also false.
Hence only statement (c) is correct .
To learn more about the square of a number visit:
https://brainly.com/question/17749819
#SPJ9
Help with this question
Find the value of x
(3x + 2)
(6x - 118)
Answer:
+ x = 116/9
- x = 40
* x = -2/3 and x = 59/3
/ x = -2/3
Step-by-step explanation:
Since it's unclear what operations here are all of them, plus, minus, multiply and divide. If you need Steps, let me know.
ricardo runs 10 miles on saturday. if he doubles his uusual speed, he can run 10 miles in an hour less than his usual time. What is his usual speed
If he runs at his usual speed for 10 miles, it would take him 10/x hours. Ricardo's usual speed is 5 miles per hour.
Let's assume Ricardo's usual speed is "x" miles per hour.
If he runs at his usual speed for 10 miles, it would take him 10/x hours.
If he doubles his usual speed, his new speed would be 2x miles per hour. Running at this speed for 10 miles, he can complete the distance in (10/2x) = (5/x) hours.
According to the given information, he can run 10 miles in an hour less than his usual time. So, we can set up the equation:
10/x = 5/x + 1
To solve this equation, we can multiply both sides by x to eliminate the denominators:
10 = 5 + x
Subtracting 5 from both sides:
x = 5
Therefore, Ricardo's usual speed is 5 miles per hour.
To learn more about speed visit:
brainly.com/question/26046491
#SPJ11
Nancy and seven of her friends shared the $101.20 dinner bill equally. How much did each person pay?
which of the following expression represents the perimeter of the figure below
Answer:
No picture is displayed
Find the solution of the initial value problem.
y ′= 3x/y ; y(1) = −2
Given the initial value problem:
y′=3x/y;
y(1)=−2 We need to find the solution to this problem using the initial value provided. Initial Value Problem:
An initial value problem is a differential equation along with an initial condition.
Initial conditions:
An initial condition is a condition that is required to be satisfied by the solution to a differential equation.
In the given problem, we are given an initial value of y(1)=−2. Differential Equation:
dy/dx = 3x/y Separate the variables and solve for y:
dy/y = 3x dxv Integrating both sides, we get;
\(∫dy/y = ∫3x dxln|y|\)
\(= (3/2)x^2 + C\1\) (where C1 is the constant of integration) Putting the initial condition
y(1)=−2;
\(ln|−2| = (3/2)(1)^2 + C1ln(2)\)
\(= (3/2) + C1C1
= (2ln2 - 3)/2\)
To know more about solution visit:
https://brainly.com/question/1616939
#SPJ11
Assume the probabilities of a child being allergic to the following foods are as follows:
.014 for nuts
.043 for dairy
.031 for gluten
Calculate the probability that a child is NOT allergic to nuts.
The probability that a child is not allergic to nuts is 0.986, or 98.6%.
The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.
Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.
The probability of being allergic to nuts is given as 0.014.
To find the probability that a child is not allergic to nuts, we subtract this value from 1.
P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986
Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.
This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.
Learn more about Probability here:
brainly.com/question/15052059
#SPJ11
There are 58 students enrolled in an art class. The day before the class begins 10.3% of the students cancel. How many students actually attend the art class
The total number of students which attend the art class is 52 which is 89.75 of the total enrolled students that is 58.
Explain about the percentage of number?A Latin word with the meaning "out of one hundred" is percentage.
Working with parts of 100 is much easier than working with thirds, twelfths, and other fractions, especially since many fractions lack a consistent (non-recurring) decimal equivalent.
Significantly, this also makes comparing percentages more simpler than comparing fractions with various denominators. This contributes to the widespread usage of the metric measuring system and decimal currencies.
Total students enrolled for art class = 58
Percentage of cancelled students = 10.3%
Then, Percentage of non-cancelled students = 100 - 10.3 = 89.7%
So,
Attended students = 89.7% of 58.
= 89.7*58 / 100
= 52.06
= 52 (approx)
Thus, the total number of students which attend the art class is 52 which is 89.75 of the total enrolled students that is 58.
Know more about the percentage of number
https://brainly.com/question/26511030
#SPJ1
solve for x, find the simplified radical & decimal
Answer:
x = 6\(\sqrt{2}\) = 8.485
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is \(\sqrt{2}\) times the length of a leg.
So, if you are given the hypotenuse, then divide its length by \(\sqrt{2}\)
x = 12/\(\sqrt{2}\) = 12\(\sqrt{2}\)/2 = 6\(\sqrt{2}\) = 8.485
See Picture below. Thanks
Answer:
The angle of DGC is 90 degrees
the value of x is positive 8
Step-by-step explanation:
xoxo brooke
A ceiling fan has 13-centimeter blades (so the radius of the circular fan is 13 centimeters). Suppose the fan turns at a rate of 58 revolutions per minute.
(a) Find the angular speed of the fan in radians per minute.
(b) Find the linear speed of the tip of a blade in centimeters per minute,
Do not round any intermediate computations, and round your answer to the nearest whole number
Answer:
A ceiling fan has 13-inch blades (so the radius of the circular fan is 13 inches). Suppose the linear speed of the tip of a blade is 8 feet per second
Solve for a .
-23= -4a+1
Answer:
a=6
Step-by-step explanation:
-23=-4a+1
-1 -1
-24=-4a
divide both sides by -4
so 6
If the spinner is spun another 1000 times about how many times would you expect it to land on blue? Frequency of blue is 45
Answer:
450 considering Blue appears 45 times in 100 spins.
Step-by-step explanation:
Let us assume that frequency of Blue is 45 times in 100 spins.
So we have to calculate the number of times the spinner lands on blue in 1000 spins.
It simply can be calculated as
Expected number of landing on blue:
Expected frequency = probability × number of trials
= (45/100)×1000
= 450 times
So, Expected number of landing on blue = 450
Answer:450
Step-by-step explanation:
Gretta is having a birthday party and is buying pizza for everyone. She buys 32 pizza for 8.00 dollars. What is the unit rate?
Answer
= 4 pizzas per dollar
Step-by-st:ep explanation:
This is a fraction equal to
32 pizza ÷ 8 dollars
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 8
32 pizza ÷ 8
8 dollars ÷ 8
=
4 pizza
1 dollar
=
4 pizza
dollar
= 4 pizzas per dollar
Hope this helps!
Sara's mom takes the parkway to work. It takes her 30 minutes to travel from mile marker 88 where she enters to her exit at mile marker 121. What is her average speed
Sara's mom average speed is 66mph. The next step is to divide the distance by the time: 33/0.5 = 66 mph.
What is average speed ?You may estimate the average pace at which an object will go a distance by looking at its average speed. Average speed is calculated by dividing a quantity by the time required to obtain that quantity.
Finding the distance and the time is necessary to calculate speed.
In this situation, you must deduct mile marker 88 from 121 to determine the distance.
121 - 88 = 33mile
Even though the time is 30 minutes, you're probably interested in miles per hour. 30 minutes must be converted to 0.5 hours.
The next step is to divide the distance by the time: 33/0.5 = 66 mph.
To know more about average speed visit:-
brainly.com/question/12322912
#SPJ4
what is 5/9 rounded to
A. 1 B. 1/2 C. 0 (i need an answer today pls)
In fraction, 1/2 is rounded to 5/9 .
What does a fraction mean mathematically?
An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
Given:
The fraction = 5/9.
Now, rounded to the nearest half is 1/2
we know 9 halved value is 4.5 which is much closer to 5.
So, we can write it as 5/10 = 1/2.
Learn more about fraction
brainly.com/question/10354322
#SPJ1
A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.
Therefore, the state government should consider investing in new affordable housing initiatives.
a) To compute the 90% confidence interval, we can use the formula:
CI = p ± z*(√(p(1-p))/n)
where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.
Plugging in the values, we get:
CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)
CI = 0.505 to 0.529 (rounded to three decimal places)
b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.
c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.
To know more about confidence interval,
https://brainly.com/question/27375978
#SPJ11
Evaluate the integral ff(V x F)-ds, where S is the portion of the surface of a sphere defined by - x² + y² + z² = 1 and x + y + z ≥ 1, and where F=rx (i+j+ k), r = xi+yj + zk.
To evaluate the integral, we need to parameterize the surface, calculate the cross product, and integrate over the given portion of the sphere.
To evaluate the integral, we will use the surface integral formula:
∬_S (F × ds) = ∬_S (F × (∂r/∂u × ∂r/∂v)) dA
where F is the given vector field, ds is the differential surface area, ∂r/∂u and ∂r/∂v are the partial derivatives of the position vector r with respect to the surface parameters u and v, and dA is the differential area element on the surface S.
In this case, the surface S is a portion of the sphere, defined by -x² + y² + z² = 1, and x + y + z ≥ 1. To simplify the calculations, we can parameterize the surface using spherical coordinates:
x = sinθcosϕ
y = sinθsinϕ
z = cosθ
where θ ∈ [0, π/2] and ϕ ∈ [0, 2π]. The normal vector to the surface is given by:
n = (∂r/∂θ × ∂r/∂ϕ)
After calculating the cross product and evaluating the integral, the final result will depend on the bounds of integration. Please provide the specific limits of integration for θ and ϕ to proceed with the evaluation.
To learn more about integral click here
brainly.com/question/31059545
#SPJ11