The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.
Which of the following best encapsulates the problem's three potential solutions?A) x = 4, y = 0; x = 3, y = 1; x = 2, y = 2B) x = 5, y = 2; x = 4, y = 2; x = 3, y = 3C) x = 4, y = 3; x = 3, y = 4; x = 2, y = 5D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.To meet the manager's target, the store must make at least $360.00 a day on sales from televisions and computers.To do this, the store must sell at least 5 televisions or 3 computers, or a combination of the two, to make $360.00.The store also has to make sure that the total profit from sales of televisions and computers adds up to $360.00.The solutions that satisfy this requirement are x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.This means that the store must sell 5 televisions, 4 computers, or a combination of 3 televisions and 3 computers.By selling this combination of products, the store will make a total profit of $360.00, thus meeting the manager's target.To learn more about the algebraic concept of linear equations and inequalities refer to:
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Which best explains whether or not solving a system of linear equations by graphing will result in the same solution as solving by substitution?
1.Sometimes the result will not be the same because a solution obtained by graphing may not be exact.
2.The result will always be the same because a solution obtained by graphing is always located on a grid line.
3.Sometimes the result will not be the same because a solution obtained by graphing is always just an estimate.
The best explanation is, 2.The result will always be the same because a solution obtained by graphing is always located on a grid line
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Solving a system of linear equations by graphing will result in the same solution as solving by substitution as graphing answer is always found on a grid line, hence the outcome will always be the same.
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The point of intersection of concurrent lines is called the?
The point of intersection of concurrent lines is called the point of concurrency.
Concurrent lines are lines that intersect at a single common point. This point of intersection is also known as the point of concurrency.
It can also be said that concurrent lines are lines that pass through a common point and this point is known as the point of intersection or point of concurrency.
In geometric figures, there are some special point of concurrency. For example, in a triangle, there are three special point of concurrency: the incenter, the circumcenter, and the orthocenter. The incenter is the center of the inscribed circle, the circumcenter is the center of the circumcircle and orthocenter is the point where the three altitudes of the triangle intersect.
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What are the 3 trigonometric ratios?
What do u times or multiply the 8 by?
Answer: 9
6/8 = 9/12
How to find slope intercept form with one point and parallel?
If two parallel lines have slopes of m(1) and m(2), and if it is known that both lines are perpendicular, then we get m(1) = m(2).
The slope of parallel lines is the same. Since all of the parallel lines are similarly inclined with respect to the positive x-axis, their slopes are also identical. When two parallel lines' slopes are written as m(1), m(2), we get m(1) = m(2).
Equal coefficients for x and y are present in the equations that represent parallel lines. ax + by + c(2) = 0 is the line parallel to ax + by + c(1) = 0. According to observation, the coefficients of x and y in both equations are equivalent.
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A survey of 169 law firms in a country found that the average hourly billing rate for partners was $607 what is the population and the sample?
The population in this case would be all of the law firms in the country.
The sample is the group of law firms that were surveyed, which is 169 firms.
The average hourly billing rate of $607 is the sample statistic.
In statistics, a population is the entire group of individuals or objects that we are interested in studying. In this case, the population would be all of the law firms in the country. The population can include all possible values, characteristics, and attributes of interest.
A sample, on the other hand, is a subset of the population that we actually collect data from. In this case, the sample is the group of 169 law firms that were surveyed. The sample is used to represent the population and to make inferences about the population.
Also, the sample statistics such as the average hourly billing rate of $607, is an estimate of the population parameters such as population mean, which is the average hourly billing rate of all law firms in the country.
In summary, population represents the entire group of law firms in the country, and the sample is a subset of law firms surveyed and the sample statistic such as the average hourly billing rate of $607 is an estimate of the population parameter such as population mean.
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In circle F, m/GFH = 140° and the area of the shaded sector = 14π. Find the length of FG.
The length of FG = (7/18) x 2π(√(28π))/(√140).
What is length?Length is a measurement of a distance, size, or quantity. It is usually measured in units such as meters, feet, or miles, but can also refer to an amount of time. Length is a fundamental concept in mathematics and is used for a variety of purposes in the natural and social sciences. In physics, length is related to energy, momentum, and the speed of light. In geometry, length is a measure of the distance between two points on a line or plane. Length also plays an important role in everyday life, from measuring the size of a room to calculating the time it takes to get from one place to another.
Let G be the center of the circle and the radius be ‘r’.
The arc length FG = (140/360) x 2πr = (7/18) x 2πr
Area of sector = (1/2) x r² x θ = 14π
Therefore, r² θ = 28π
Therefore, r² = (28π)/θ
Substituting the value of θ = 140° in the above equation,
r² = (28π)/140
Therefore, radius, r = (√(28π))/(√140)
Therefore, length of FG = (7/18) x 2πr = (7/18) x 2π(√(28π))/(√140)
Hence, the length of FG = (7/18) x 2π(√(28π))/(√140).
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LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN=4x+17 and MP=8x-7
The value of x is 6 and the length of each diagonals is 41 units.
In the given question, we have to find the value of x and the length of each diagonal.
The given length of rectangle LMNP is:
LN=4x+17...............(1)
MP=8x-7...............(2)
As given the question,
MP = LN
8x-7 = 4x+17
Add 7 on both side. we get
8x = 4x + 24
Subtract 4x on both side, we get
4x = 24
Divide by 4 on both side, we get
x = 6
Now putting the value of x in the value of LN and MP
LN = 4(6) + 17
LN = 24 + 17
LN = 41 units
MP = 8(6) - 7
MP = 48 - 7
MP = 41 units
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15x divide 5xy what is it
Answer: 3/y
Step-by-step explanation:
Answer:
3/
Step-by-step explanation:
15x/15xy
cancel x on the numerator with x in denominator then divide 15 by 5 to get 3 as numerator and y as denominator.
Erin and Frannie entered a rug design contest. The rules stated that the rug’s dimensions must be 32 inches × 45 inches and that they must be rectangular. They drew the following for their entries.
Draw the rug, find each partial product. (use the area model)
The area of the rug is 1,440 square inches and the sum of partial product is always equal to the area, 1440 square inches.
The area of the rug using the formula:
length x width = area.
The area of the rug is:
32 inches x 45 inches = 1440 square inches.
Refer figure for Erin and Frannie's design. Consider Erin's design
green = 30×5 = 150
red = 2×5 = 10
blue = 2×40 = 80
yellow = 30×40 = 1200
total area = green + red + blue + yellow
= 150 + 10 + 80 + 1200
= 1,440
Now consider Frannie's design
red = 5×1 = 5
blue = 35×1 = 35
green = 5×30 = 150
yellow = 35×30 = 1050
total area = 4red + 2blue + 2green + yellow
= 4×5 + 2×35 + 2×150 + 1050
= 20 + 70 + 300 + 1050
= 1,440
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a buyer for a specialty clothing manufacturer must buy at least 2000 bales of cotton that weigh at least 420 kilograms per bale. a cotton broker has a shipment of 100,000 bales with weights that are normally distributed with a mean of 376 kilograms and a standard deviation of 22 kilograms. how many bales should the buyer purchase to ensure that he has at least 2000 bales that weigh 420 kilograms each?
The buyer should purchase 87913 bales to ensure that he has at least 2000 bales that weigh 420 kilograms each.
For having a bale of 420 and above,
we calculate standard deviation using below information
(420 - 376 /22) = 0.02275 = 2.275% chance of having a bale of 420+ kg
To find out the number of bales to pe precise,
2000/0.02275 = 87912.1 so you'll need at the very least 87913 bales to be reasonably certain.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
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consider the more realistic case where students choose how much time to spend in a preparation course, and you can only randomly sample sat and hours from the population. write the population model as sat
In this scenario, the population model would be written as:
SAT = β0 + β1 * Hours + ε
where:
SAT represents the SAT score of the studentsHours represents the number of hours the students spend in the preparation courseβ0 is the intercept termβ1 is the slope coefficient representing the relationship between the number of hours spent in the preparation course and the SAT scoreε is the error term, representing the unpredictable factors that affect SAT scores and are not explained by the number of hours spent in the preparation course.This model represents the underlying relationship between SAT scores and the number of hours spent in the preparation course for the entire population. By randomly sampling data from this population, you can use this model to make inferences about the population parameters (β0, β1) and make predictions about SAT scores based on the number of hours spent in the preparation course.
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What is a quotient example?
Answer: A quotient is an answer to a division problem
Step-by-step explanation: Exaple: 2/3=0.6666666666666.... in this problem 0.66666666666666666666666666666666666 is the quotient
Help me ;-;
Enter a number in each box so that the expressions are equivalent.
(A) 0.8 (2x + x) + 3(7 - 4.1x) = x + 21
(B) 12
1
2
(6x + 22y) = x + y
(C) (3x - ) - (6x + 1) = -3x - 2
(D) 112
1
2
x + 27y = (12
1
2
x + 9y)
Therefore , the solution of the given problem of linear equation is x's coefficient is -9.9,x's coefficient is 75 and y's coefficient is 275.
How a linear equation is defined ?A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Ignoring the fact that while both y and y are distinct components, the previous sentence is frequently referred as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases.
Here,
Given :
=>0.8 (2x + x) + 3(7 - 4.1x) = __x + 21
=>0.8(3x) + 21 - 12.3x = __x + 21
=>2.4x + 21 - 12.3x = __x + 21
=>-9.9x + 21 = __x + 21
=> -9.9
=> 12 1/2 (6x + 22y) = x + y
=> 75x + 275y = x + y
Therefore , the solution of the given problem of linear equation is x's coefficient is -9.9,x's coefficient is 75 and y's coefficient is 275.
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Over the next 17 months you have to read more than 102 books. You have to read x books per month. The inequality 17x > 102 represents this situation. Solve the inequality to find the number of books you have to read per month.
how many books do you have to read more than per month
Hello! I won't be putting the answer to this question, not sure what format this is (test/homework.) Just want to be clear! So I'll be explaining what to do but the answer is for you to find. ;)
Step-by-step explanation: 17x > 102, divide both sides by 17 to isolate the x.
17x/17 > 102/17
I'll leave you with that! ;D
Answer:
More than 6 books per month.
Step-by-step explanation:
Given variable:
Let x be the number of books you have to read per month.Given information:
Over the next 17 months you have to read more than 102 books.Therefore, the inequality to represent the given information is:
17x > 102To solve the inequality, divide both sides by 17:
⇒ 17x ÷ 17 > 102 ÷ 17
⇒ x > 6
Therefore, you have to read more than 6 books per month.
The prism below is made of cubes that measure 1/2 of a centimeter on one side. What is the volume?
The volume of the prism attached in the figure is calculated to be
A. 9/4 cubic cm
How to solve for the volume of the prismThe prism is formed by cubes having a dimension of 1/2 of a centimeter
Using this dimension it can be deduced from the figure that the
the width has 2 units = 2 * 1/2 = 1 cm
the length has 3 units = 3 * 1/2 = 1.5 cm
the height has 3 units = 3 * 1/2 = 1.5 cm
volume of a prism is solved by the formula
= length * width * height
= 1.5 * 1 * 1.5
= 9/4 cubic cm
the volume of the prism is 9/4 cubic units
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0.5 divided 1.5 step by step
Answer: 0.33
Step-by-step explanation:
You get 0.33 repeating
Answer:
1/3
Step-by-step explanation:
0.5 divided by 1.5 can also be written as 1/2 divided by 3/2.
So lets rewrite it like this:
(1/2)/(3/2)
From here there are two ways we can solve this. One is to multiply by the reciprocal:
(1/2) × (2/3)= 2/6
which simplifies to 1/3 as your final answer.
The other method is to "oreja"
you multiply the top most number and the bottom most number together and then the two middle ones like so:
(1/2)/(3/2) -> (1×2)/(2×3)
which is 2/6 once again and simplifies to 1/3 the final answer.
HURRY WILL GIVE BRAINLEST TO THE 1ST PERSON TO ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The dimensions of a rectangular prism are given in the net shown.
Surface Area of Prisms and Cylinders | Measurements
What is the total surface area of the rectangular prism in square centimeters?
Responses
100 cm squared
80 cm squared
160 cm squared
200 cm squared
The total surface area of the rectangular prism in square centimeters is c) 160 cm².
What is the total surface area of prism?The surface area of a cuboid is the total area of all of the faces of a prism.
If, the length (l), width (w), and height (h) of the prism
then, use the formula: surface area (SA)=2lw+2lh+2hw.
here, we have,
The formula for the Surface Area of a rectangular prism is,
A=2(wl + hl + hw)
given that,
Length = 10cm
Width = 5cm
Height = 2cm
Hence:
Area =2× (5 × 10 + 2 × 10 + 2 × 5) cm²
= 2 × ( 50 + 20 + 10) cm²
= 2 × (80) cm²
= 160 cm²
The total surface area of the rectangular prism in square centimeters is 160.
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What is 871.816 divided by 7618.882 ?
Answer:
-0,8777 the answer is at least it seems
Step-by-step explanation:
0.1144283374 is its answer..
4x³ - 7x + 3; x-1
Enter the Zeros of the functions in Numerical Order
Answer:
Step-by-step explanation:
145
Are vertical lines negative?
Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.
Now, According to the question :
What is Vertical line?
A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.
Is a vertical line positive or negative?
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.
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how do you add algebraic expressions?
The process of gathering similar phrases and adding them is known as addition of algebraic expressions. To determine the final expression for the above problems, locate, add, and sum the coefficients of similar terms.
What is the sum of algebraic expressions?The process of gathering similar phrases and adding them is known as addition of algebraic expressions. To determine the final expression for the above problems, locate, add, and sum the coefficients of similar terms. Our explanations on how to add algebraic expressions are simple and straightforward. To solve the addition of algebraic expressions, we even provide various examples for various approaches. In order to solve algebraic expressions, it is therefore best to check the practice problems, answers, and explanations for each problem.Incorporate 5a + 7b - 6c, b + 2c - 3a, and 2a - 5b - 3c.The given phrases are 5a + 7b - 6c, 2a - 5b - 3c, and b + 2c - 3.There are three accessible variables when using the horizontal method.Finding the total of all terms' numerical coefficients requires noting similar terms first and then summing them all.3a + 2a - 5b - 3c, 5a + 7b - 6c + b + 2c, and 2c + b.
Combine phrases that are similar.6c + 2c - 3c. 5a - 3a + 2a + 7b + b.
Next, total up all terms' numerical coefficients.4a + 3b – 7c.
It is 4a + 3b - 7c that must be expressed.The given expressions should be written in rows using the column method, with the same order. Add similar terms in a column after noting them down below one another.Put the expressions in a different order.5a + 7b – 6c, - 3a + b + 2c, 2a - 5b - 3c
Similar terms should be written down below one another and added in columns.+ 5a + 7b - 6c - 3a + b + 2c + 2a - 5b - 3c
4a + 3b – 7c
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Mackenzie is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 29 meters from the building.
The angle of elevation from her eyes to the roof (point A) is 24° and the
angle of elevation from her eyes to the top of the antenna (point B) is 32°. If
her eyes are 1.71 meters from the ground, find the height of the antenna (the
distance from point A to point B). Round your answer to the nearest meter if
necessary.
The antenna Is[tex]$4.6 \mathrm{~m}$[/tex] high
Steps on how to determine the radio antennas' height?Height of the base station antenna (h1) is 30.48 metres (100 ft) At the antenna, base-station power is 10 watts (40 dBm) Gt = 6 dB more than the dipole gain for the base-station antenna (6 dBd). The FM band can be operated more effectively with short antennas that are coiled or have a coil at the base. The AM broadcast band requires long and growing antennas. Basically, they are lengthy conductors—the longer, the better.To find the distance H, we make use of the relationship
[tex]& \frac{H}{33 m}=\tan 33^{\circ} \\[/tex]
[tex]& \Longrightarrow H=33 m \cdot \tan 33^{\circ}[/tex]
To find the distance h, we make use of the relationship
[tex]& \frac{h}{33 m}=\tan 27^{\circ} \\[/tex]
[tex]& \Longrightarrow h=33 m \cdot \tan 27^{\circ}[/tex]
Thus, the distance H - h, or the height of the radio antenna, can be found as follows
[tex]& H-h=33 m \cdot \tan 33^{\circ}-33 m \cdot \tan 27^{\circ} \\[/tex]
[tex]& =33 m \cdot\left(\tan 33^{\circ}-\tan 27^{\circ}\right) \\[/tex]
[tex]& =33 m \cdot(0.6494-0.5095) \\[/tex]
[tex]& =33 m \cdot 0.1399 \\[/tex]
[tex]& =4.6167 m \approx 4.6 m[/tex]
The antenna Is[tex]$4.6 \mathrm{~m}$[/tex] high
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What is the nature of the roots of the quadratic equation â 3x² 10x 7 â 3 0?
The roots of the equation √3x²+10x +7√3 = 0 are -7/√3 or -3.
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The general form of the quadratic equation is: ax² + bx + c = 0,
where x is an unknown variable and a, b, c are numerical coefficients.
The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.
Given that,
√3x²+10x +7√3 = 0
=> √3x²+3x+7x +7√3 = 0
=> √3(x+√3) +7(x+√3) = 0
=> √3 +7 = 0 or x+√3 = 0
x = -7/√3 or -3 are the two roots of the equation.
Thus, The roots of the equation √3x²+10x +7√3 = 0 are -7/√3 or -3.
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What is the domain of the function below?
a) x < 2
b) x ≤ 3
c) x ≤ 2
d) All real numbers
The domain of the graphed function is:
D: x ≥ 2
What is the domain of the graphed function?For a function y = f(x), we define the domain as the possible inputs, this is, the possible values of x.
To find the domain, we need to look at the horizontal axis, we can see that the minimum is the leftmost value, which is (2, 3), and it is marked with a colored dot, so the value x = 2 belongs to the domain.
Then, the line extends to the right side, so the domain is the set of all real values larger than x = 2
The domain is:
D: x ≥ 2
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Round 20282.93 to the nearest thousand
The number after rounding off the given decimal number is
20283.
What is rounding of a number?Rounding means making a number simpler but keeping its value close to what it's original value. The result is less accurate, but easier to use.
Given is the decimal number as -
20282.93
The given number is -
20282.93
20282.9 {3 < 5}
20283 {9 > 5}
Therefore, the number after rounding off the given decimal number is
20283.
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4. 4c - 3
c = -2
please show the work also giving 20 points for this please help need it in 20 mins
Answer: C = - 2
Step-by-step explanation: Subtract 3c from 4c.
Question 3 of 10
What is the factorization of the trinomial below?
x³-2x²-35x
OA. x(x-7)(x-5)
O B. (x²-7)(x+5)
O C. x(x-7)(x+5)
D. (x-7)(x+5)
Answer:
C. x(x-7)(x+5)
Step-by-step explanation:
#11: Looking at the rectangle below, find the area.
Find m
please help!!!
Check the picture below.