The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of equations is given below.
3x + 5y = 13 ...1
6x + 7y = 20 ...2
Multiply the equation 1 by -2, then we have
6x + 7y = 20 ...2
- 6x - 10y = - 26 ...3
Add both equations, then we have
- 3y = - 6
y = 2
Then the value of the variable 'x' will be given as,
3x + 5(2) = 13
3x = 3
x = 1
The value of the expression y / x will be given as,
y / x = 2 / 1
y / x = 2
The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
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Tony is putting 42 oranges into 4 boxes. Each box holds 12 oranges.
How many more oranges are needed to fill all the boxes?
Please help with this question thank you!
Given 7x + 11y = N, what is the highest number N can be to produce an answer of No solution. (X,y) must be positive.
Will a polynomial times a polynomial always equal a polynomial?
Answer:
yes, it will always be a polynomial but depending on how many terms it has, the answer may change
Step-by-step explanat
A guy is standing 112 m from a building. the angle of elevation from where hes standing on the ground to the top of the building is 62 degrees
how tall is the building
what is 875/1000 simplified
How old is Kristaps Porzingis
Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he is 27 years old. For the latest information, current sources should be consulted as his age changes annually.
Explanation:The age of Kristaps Porzingis, a professional basketball player, can be determined by knowing his date of birth. Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he would be 27 years old. It is always advised to check current sources for the most up-to-date information as the age of a living person changes every year.
As of my last knowledge update in January 2022, Kristaps Porzingis was born on August 2, 1995. To determine his current age, you can subtract his birth year from the current year. However, please note that I do not have real-time information, and his age might have changed since my last update. I recommend checking the latest sources, such as news articles, the official NBA website, or Porzingis' official social media accounts, for the most up-to-date information on his age.
a regular polygon must have ___ sides if each interior angle measure is four times the measure of each exterior angle
The sum of the interior angles of the polygon is 1440° and the number of sides of the polygon is 10 sides
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of the interior angles of the polygon be S
Now , the number of sides = n
The sum of the exterior angles of a polygon = 360°
And , each interior angle measure is four times the measure of each exterior angle
Substituting the values in the equation , we get
180 ( n - 2 ) = 4 ( 360 )
On simplifying the equation , we get
180n - 360 = 1440
Adding 360 on both sides of the equation , we get
180n = 1800
Divide by 180 on both sides of the equation , we get
n = 10 sides
Hence , the number of sides of the polygon is 10 and it is a decagon
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P(x) = x2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)?
Answer: The required expression is [tex]x^2-5x+4.[/tex]
Step-by-step explanation: We are given that
[tex]p(x)=x^2-1,\\\\q(x)=5(x-1).[/tex]
We are to find the expression that is equivalent to (p-q)(x).
We know that for any two functions f(x) and g(x), we have
[tex](f-g)(x)=f(x)-g(x).[/tex]
Therefore we get
[tex](p-q)(x)\\\\=p(x)-q(x)\\\\=(x^2-1)-(5(x-1))\\\\=x^2-1-5x+5\\\\=x^2-5x+4.[/tex]
Thus, the required expression is [tex]x^2-5x+4.[/tex]
PLEASE PLEASE HELP ME QUICK!!!!
Will give brainiest to first answer!
Which of the following inequalities is graphed on the coordinate plane?
A. y > x
B. y is less than or equal to x
C. y is greater than or equal to x
D. y < x
Answer:
u have a solid line...means there is an equal sign in the problem...so that eliminates 2 of them right away...so A and D are incorrectit is shaded below the line....this means it is less then...that eliminates option C leaving u with only one answer choiceso ur answer is : B. y is less then or equal to x
Step-by-step explanation:
Could someone please help me. Thanks!!! 12 points!
A car is traveling at a constant velocity. After two hours the car has traveled 90 miles. After five hours the car has traveled 225 miles. Assuming a linear equation fits this situation, what are the ordered pairs that you would use to find the linear equation
Any large random sample from a group of people will be representative of the entire group.
a. True
b. False
Samantha bought a shirt for $14.98. She gave the cashier a $20 bill. Which operation(s) finds the amount of change Samantha received?
subtract the cost of the shirt from the amount she gave the cashier
20.00 - 14.98 = 5.02
using subtraction she would get $5.02 back in change
Point R is located at (3,2) and point S is located at (8,15)
What are to coordinates of the point that partitions The directed line segment RS in a 1:4 ratio?
Answer:
was this right
Step-by-step explanation:
The length of a rectangle is 6 cm longer than its width. if the perimeter of the rectangle is 36 cm , find its area.
You purchase a pair of jeans for $24.99 and a t-shirt for $12.49. Assume sales tax is 7.5%
What is your subtotal? $
What is the tax? $
What is your total? $
Two airplanes leave chicago's midway airport at the same time, traveling in opposite directions. one travels at 25 miles per hour faster than the other. after 2 hours they are 490 miles apart. find the speed of each airplane.
Final answer:
The first airplane travels at 110 miles per hour, and the second airplane travels at 135 miles per hour.
Explanation:
The question deals with two airplanes leaving Chicago's Midway Airport at the same time and heading in opposite directions.
One travels at a speed that is 25 miles per hour faster than the other.
After 2 hours, they are 490 miles apart, and we need to find the speed of each airplane.
Let's define the speed of the slower airplane as x miles per hour.
Then, the faster airplane's speed would be x + 25 miles per hour.
Since they are traveling in opposite directions for 2 hours, we can set up the equation:
2x + 2(x + 25) = 490
Solving for x will give us the speed of the slower airplane, and x + 25 will give us the speed of the faster airplane.
2x + 2x + 50 = 490
4x + 50 = 490
4x = 440
x = 110
Thus, the speed of the slower airplane is 110 mph, and the faster airplane is 135 mph (110 mph + 25 mph).
Write an equation for a rational function with: vertical asymptotes at x = -4 and x = 4 x-intercepts at x = -6 and x = 5 horizontal asymptote at y = 8
A rational function with the required characteristics is f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4), considering vertical asymptotes, x-intercepts, and a horizontal asymptote.
Explanation:To write an equation for a rational function with given characteristics, we need to incorporate the vertical asymptotes, x-intercepts, and horizontal asymptote into our function.
Firstly, vertical asymptotes at x = -4 and x = 4 suggest that the denominator of our function will be in the form (x + 4)(x - 4), as setting x to -4 or 4 will make the denominator zero, which creates the asymptotes.
Secondly, x-intercepts at x = -6 and x = 5 indicate that the numerator will have factors that become zero at these x-values. Hence, the numerator should be(x + 6)(x - 5).
Finally, for the function to have a horizontal asymptote at y = 8, the degree of the numerator and denominator must be the same, and the leading coefficients of the numerator and denominator must have a ratio that equals 8. To achieve the horizontal asymptote, we multiply the numerator by 8, thus the leading coefficients of the numerator and denominator are in the ratio 8:1.
Combining all these elements gives us our rational function: f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4)
Can someone please help me?
John Made a rectangle pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what is the length and width of the pen?
The length of the pen is
A) 6 feet
B) 7 feet
C) 8 feet
What was the one item that was left out of the repeal.?
Write a two proof column
Given: 4y=2x-10 ; y=6
Prove: x=17
As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second. Convert this rate to miles per minute. At this rate, how many miles will Mercury travel in 4 minutes?
The number of miles that Mercury travels in 4 minutes will be 7,200 miles.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second.
Convert the rate into miles per minute. Then we have
Rate = 30 x 60
Rate = 1,800 miles per minute
At this rate, the number of miles that Mercury travels in 4 minutes will be given as,
D = 1,800 x 4
D = 7,200 miles
The number of miles that Mercury travels in 4 minutes will be 7,200 miles.
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If you pop 3 bags of popcorn in 15 minutes how many bags did you pop per minute
A palm reader gets paid $80 for each palm she reads, and her goal is to earn $2240 reading palms this month. If she has already read 4 palms this month, how many more palms must she read in order to reach her goal?
A.24
B.28
C.20
D.32
Given △ABC≅△JKL , m∠B=55° , and m∠L=25° , what is the measure of ∠J ? Enter your answer in the box.
Answer:
m∠J = 100° is the answer.
Step-by-step explanation:
Given : ΔABC ≅ ΔJKL,
m∠B = 55°
m∠L = 25°
To find : ∠J
Since in both the triangles ABC and JKL
m∠A ≅ m∠J
m∠B ≅ m∠K = 55°
m∠C ≅ m∠L = 25°
Since measure of ∠K and ∠L are known then we can calculate the third angle j
m∠J + m∠K + m∠L = 180°
55° + 25° + m∠J = 180°
80° + m∠J = 180°
m∠J = 180 - 80
= 100°
Therefore, m∠J = 100° is the answer.
Is y=4x-1 and 12x=3y+7 parallel, perpendicular, or neither
Answer:
Neither is the answer.
Step-by-step explanation:
If a line y = m₁x + c₁ and y = m₂x + c₂ are perpendicular to each other then m₁ × m₂ = -1
If both the lines are parallel to each other then m₁ = m₂
Now two lines have been given as
y = 4x - 1 ----------(1)
12x = 3y + 7
3y = -12x + 7
y = -4x + [tex]\frac{7}{3}[/tex]------(2)
Now from equation (1) and equation (2),
m₁ = 4 and m₂ = -4
Since m₁ ≠ m₂
Therefore, these lines are not parallel
m₁ × m₂ = 4 × (-4) = -16
Therefore, both the lines are neither parallel nor perpendicular.
In a sale there is 10% of all prices.a chair costs £63 in the sale.hoow mutch was it before the sale?
Help please geometry
Is 0.54 a rational number? Why or why not?