The mathematical expression for given condition is [tex]\frac{x}{y} +2[/tex] .
What is Quotient?The Quotient is the answer we get after dividing one number by another. For example, in [tex]\frac{10}{5}[/tex] = 2, the result of the division is 2, so the quotient is 2. The dividend is 10 and the divisor is 5. A division problem's quotient is found by dividing the dividend by the divisor. This can be accomplished by performing repeated subtraction or long division.
It is essentially the result of the division method. In arithmetic division, four main terms are used: divisor, dividend, quotient, and remainder.
Translating the statement, two added to the quotient of a number x and y, into mathematical expression gives us,
[tex]\frac{x}{y} +2[/tex]
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10, 11, 12, 14, 12, 11, 13, 12, 14, 11 find the mean
Answer:
12
Step-by-step explanation:
Add all the numbers up. Then, you divided the answer by the number of values. So, its 120 divided by 10. which equals 12.
the circumference of a circle is 22cm. what is the area of 1/10 of the circular region? use π= 22/7
Answer
(1/10) of Area = 3.85 cm²
Explanation
Circumference of a circle = 2πr
where
π = pi = (22/7)
r = radius of the circle = ?
Circumference = 22 cm
Circumference = 2πr
22 = 2 × (22/7) × r
22 = (44r/7)
(44r/7) = 22
44r = (22)(7)
r = [(22)(7)/44]
r = 3.5 cm
Area of a circle = πr²
We are then asked to find (1/10) of the area of this circle
(1/10) of Area = (1/10) × (22/7) × 3.5²
(1/10) of Area = 3.85 cm²
Hope this Helps!!!
(5x +
6)(-10x² + 9x - 4)
-110x^3 + 99x^2 - 44x
the current in a stream flows at a rate of 4 mph. A boat travels 9 miles upstream and 9 miles downstream in a total time of 3 hours. What is the speed of the boat in still water?
The boat is moving at a speed of 8 miles per hours in still water.
How to find the speed of the boat in still water?
In this problem we find that the absolute speed of a boat (v''), in miles per hour, is the combination of the speed of the boat in still water (v) and the stream speed (v'), in miles per hour. If we assume that the boat travels at constant speed, then we have the following two equations:
Upstream
v - v' = x / t
v - 4 = 9 / t (1)
Downstream
v + v' = x / (3 - t)
v + 4 = 9 / (3 - t) (2)
By (1) and (2):
4 + 9 / t = 9 / (3 - t) - 4
9 / t - 9 / (3 - t) = - 8
9 / (3 - t) - 9 / t = 8
9 · t - 9 · (3 - t) = 8 · t · (3 - t)
9 · t - 27 + 9 · t = 24 · t - 8 · t²
18 · t - 27 = 24 · t - 8 · t²
8 · t² - 6 · t - 27 = 0
By quadratic formula we find that t₁ = 9 / 4 h and t₂ = - 3 / 2 h. Only the first root is physically reasonable. Finally, we find the speed of the boat in still water:
v - 4 = 9 / t
v = 4 + 9 / t
v = 4 + 9 / (9 / 4)
v = 8 mi / h
The speed of the boat in still water is equal to 8 miles per hour.
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There is a rectangular lot in the garden, with 10 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its
four sides, and make the area of the expanded rectangle 72 ft². How long should you expand the original lot in four directions?
You should expand the original lot by blank in four directions. Please type ft to represent feet.
Answer:
You should expand the four sides of the original lot by 2 ft.
Step-by-step explanation:
10 x 4 = 40
72 - 40 = 32
32/4 = 8
10 - 8 = 2
10 + 2 = 12
4 + 2 =6
12 x 6 = 72
what is the answer is it 56, 76, 128, or 100
The sum of the interior angles of any quadrilateral is 360°.
Therefore, we have,
[tex]4n+5n+6+9n+2+8n-12=360[/tex]SOlving for n, we get,
[tex]\begin{gathered} 26n-4=360 \\ 26n=364 \\ n=14 \end{gathered}[/tex]Therefore, the angle m[tex]4n=4\times14=56[/tex]The answer is 56.
(36yx-16y2²-315x)+(-4y³x³)
Answer:
36yx-64y-315x-4y^3x^3
Step-by-step explanation:
Expand and simplify (36yx-16y2²-315x)+(-4y³x³)
to get 36yx-16y x 2^2-315x-4y^3x^3
Simplifying further to get
36yx-64y-315x-4y^3x^3
a ceiling fan makes 1/8 of a full rotation in 2/5 seconds how many rotations per seconds does the fan make?
The Solution:
The question says a ceiling fan makes 1/8 of a full rotation in 2/5 of a second. That is,
[tex]\begin{gathered} \frac{1}{8}r=\frac{2}{5}s \\ where\text{ r=a full rotation} \\ s=\text{ a second} \end{gathered}[/tex]We are asked to find how many rotations per second the fan makes. By making s the subject of the formula in the above equation, we get
[tex]\begin{gathered} \frac{1}{8}r=\frac{2}{5}s \\ \text{Cross multiplying, we get} \\ 16s=5r \end{gathered}[/tex]Dividing both sides by 16, we get
[tex]\begin{gathered} \frac{16s}{16}=\frac{5r}{16} \\ \\ s=\frac{5r}{16} \end{gathered}[/tex]So, the fan makes 5/16 of a full rotation in every second.
Solve the equation.
-x+8+ 3x = x-6
Answer:
x= -14
Step-by-step explanation:
-x + 8 + 3x = x -6
combine -x and 3x to get
8 + 2x = x -6
subtract x from both sides to get
8 + x = -6
subtract 8 from both sides to get
x= -14
se debe de pintar de azuluna barda en forma de romboide la cual mide 4.5metros de base por 2.3 metros de altura si se han pintado 4.50 metros cuadrados cuantos metros cuadrados faltan por terminar
Sabemos que
El área del romboide se obtiene multiplicando la base por altura .
A = b · h
en este problema tenemos que
b=4.5 m
h=2.3 m
A=4.5*2.3=10.35 m^2
Sustrae 4.50 de 10.35
10.35-4.50=5.85 m^2
La respuesta es
Faltan por terminar 5 .85 metros cuadrados
If K is the midpoint of HJ, HK= x + 6, and HJ = 4x - 6, then KJ equals
Consider the figure,
We have,
[tex]\begin{gathered} HK=x+6 \\ \text{HJ}=4x-6 \end{gathered}[/tex]As we can understand from the figure that,
HJ=HK+KJ and HK=KJ
[tex]\begin{gathered} HJ=HK+KJ \\ 4x-6=x+6+KJ \\ 4x-6-x-6=KJ \\ 3x-12=KJ \\ 3x-12=x+6 \\ x=9 \\ \therefore KJ=3\times9-12=15 \end{gathered}[/tex],
The firm Bosox and Yankee has a monopoly on the production of baseball memorabilia. The firm faces the following demand curve for its product:The firm has a fixed cost of $1,000.00 and a constant marginal cost of $14 for producing units of baseball memorabilia.1. Assume the firm cannot price discriminate. How may units will the firm produce in order to maximize theprofits? a. 25 b. 50 c. 100 d. 290
Answer:
Step by step
The equation y = 8z + 50 models the cost y for 2 members of the art club to go to a museum,including the shared cost of hiring a tour guide for $50. Which statement must be true?АIt will cost $240 altogether it 30 members go.BIt will cost $130 altogether it 10 members go.8 members of the art club will go to the museum.D50members of the art club will go to the museum.
According to the information given, the equation allow us to know the cost for x members to go to the museum not how many will go. For that reason option C and D cannot be true unless a fix cost was given too.
Then using the equation we can find the cost for 30 and 10 members and select the statement that is true.
[tex]\begin{gathered} y=8\cdot(30)+50 \\ y=240+50 \\ y=290 \end{gathered}[/tex][tex]\begin{gathered} y=8\cdot(10)+50 \\ y=80+50 \\ y=130 \end{gathered}[/tex]The statement that is true is b, the costr for 10 members is $130.
Graph the point (5, 0) on the coordinate plane.
The point (5, 0) on the coordinate plane is inserted in the graph.
The intersection of "x" and "y" axis forming a two dimensional plane is called coordinate plane.The horizontal axis is called as "x" axis and the vertical axis is called "y" axis . The Cartesian plane is also called as x- y plane .Cartesian plane consists of four coordinates. It is also called co- ordinate plane .
According to the graph attached below the point on "x" axis denotes 5 units and since y axis is 0 i.e. the point is 0 at y axis.
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May u please help me with the 2 last Questions.
omeWe are asked to find the length of the diagonal of a square with side = 7 ft
So, we can use the Pythagoras Theorem to find its length, since we are dealing with a right anhle triangle that the diagonal determines, being the 7 ft sides the "legs" of the triangle, and the diagonal of the square being the hypotenuse:
[tex]\text{hyp}=\sqrt[]{7^2+7^2}=\sqrt[]{49+49}=\sqrt[]{98}\approx9.899[/tex]which can be rounded to about 9.9 feet for this diagonal.
In the second problem, we are given the value of the diagonal, and we are asked to find the value of the square's sides, so we use Pythagoras again:
[tex]\begin{gathered} 12^2=x^2+x^2=2x^2 \\ 144=2x^2 \\ \frac{144}{2}=x^2 \\ 72=x^2 \end{gathered}[/tex]where we have named "x" the length of the unknown sides of the square, and used that 12 is the length of the diagonal.
We solved for x^2, but now to find "x" (the length of the side) we use the square root property:
[tex]\begin{gathered} x^2=72 \\ x=\sqrt[\square]{72} \\ x\approx8.485 \end{gathered}[/tex]Then the sides of the square must be approximately 8.5 ft if we round the answer to one decimal.
the number of seeds found in a sample of 7 different oranges were: 3 3 4 5 7 8 and 12 what range of the number of seeds in the sample of oranges?
SOLUTION
The range = Largest number - smallest number
The largest number is 12 and the smallest is 3.
Therefore, the range = 12 - 3 = 9.
The correct answer is option D. 9
Dianelys accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Dianelys' salary will be $40000, and she will get a raise of $2500 every year. Make a table of values and then write an equation for S,S, in terms of n,n, representing Dianelys' salary after working nn years for the company.
An equation for S in terms of n representing Dianelys' salary after working n years for the company is equal to S = 40000 + 2500(n-1).
As given in the question,
Dianelys' first year salary is equal to $40000.
Raise given to Dianelys' every year is $2500
Table to represent the value for different years
First year = $40000
Second year = 40000 + 2500(1)
= $42500
Third year = 42500 + 2500
= 45000
= 40000 + 2500(2)
Fourth year = 45000 +2500
= $47500
= 40000 +2500(3) .....
An equation for S in terms of n years
S = 40000 + 2500(n -1)
Therefore, an equation for S in terms of n representing Dianelys' salary after working n years for the company is equal to
S = 40000 + 2500(n-1).
The complete question is:
Dianelys accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Dianelys' salary will be $40000, and she will get a raise of $2500 every year. Make a table of values and then write an equation for S, in terms of n, representing Dianelys' salary after working n years for the company.
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part b)what is the slope of the line the rest of the question is provided in the picture
We want to find the slope of the graph. The formula for calculating slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y1 and y2 are the y coordinates of initial and final points on the line.
x1 and x2 are the x coordinates of initial and final points on the line.
Locating initial and final points on the line, we have
when x1 = 1, y1 = 2000
when x2 = 2, y2 = 3500
By substituting these values into the formula, we have
slope = (3500 - 2000)/(2 - 1) = 1500/1
Slope = 1500
The cost increases by $1500 for each ton of sugar being transported
Which measure of spread is least affected by the long tail in the graph vehicle A
The measure of the spread that is least affected by the long tail in the box plot is IQR.
What is the Interquartile Range (IQR)?The range of the rectangular box in a box plot represents the interquartile range (IQR), which is the difference between the highest quartile (Q3) and the lower quartile (Q1).
An evaluation of dispersion is the interquartile range (IQR). According to the box plot shown in the graph, the value of IQR is mostly unaffected by the length of the tail.
As a result, in the box plot, IQR is the measure of the spread that is least impacted by the long tail.
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What is the total number of lines of symmetry for this figure?
A. 0
B. 1
C. 2
D. 4
Answer: C. 2
Step-by-step explanation:
Lines of symmetry are where the shape could be folded over and be a perfect match from one side to the other. This shape can be folded horizontally and vertically from the center.
A table is 2 feet wide and 6 times long as it is wide
Answer:
The table is 12 feet long
Step-by-step explanation:
If the table is 2 feet wide and the length is 6 times the width
we do 6(2) you get 12 which is the length
the difference between 9 thirty-seven and 8 thirty sevens
100 is the difference between 9 thirty-seven and 8 thirty sevens.
Define subtraction.To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches. Wikipedia
Given Data
difference between 9 thirty-seven and 8 thirty sevens
Converting into numerical:
937 and 837
Subtraction:
937 - 837
100
100 is the difference between 9 thirty-seven and 8 thirty sevens.
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Someone please help me answer this and i need the correct answer
Answer: D
Step-by-step explanation:
The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 35 m. Find the height of the building. If necessary, round your answer to the nearest tenth.
Using the length of shadow, the height of the building to the nearest tenth is 23.4 metres.
How to find the height of the building?The length of a shadow of a building is 26 m.
The distance from the top of the building to the tip of the shadow is 35 m.
The height of the building can be found as follows:
This situation forms a right angle triangle.
Therefore, the length of the shadow is the adjacent side and the distance from the top of the building to the tip of the shadow is the hypotenuse side.
Hence, using Pythagoras theorem,
c² = a² + b²
35² - 26² = b²
1225 - 676 = b²
b² = 549
b = √549
b = 23.4307490277
Therefore, the height of the building is 23.4 m.
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Solve the system.
x - 5y = 4
3x - 4y = 12
x=4+5y is the third equation. Note I will solve this by substitution.
⇒In the place of x in the equation 3x-4y=12 plug in 4+5y
[tex]3(4+5y)-4y=12\\12+15y-4y=12\\12-11y=12\\-11y=12-12\\-11y=0\\\frac{-11y}{-11}=\frac{0}{-11} \\ y=0[/tex]
x=4+5y
x=4+5(0)
x=4
Attached is the solution.
Goodluck
graph: q(x)=-2/x+3)+1 Make sure that you are labeling every single part. Take your time. This is the reason why I am assigning one problem as a homework.
Here, we want to plot the graph of the given absolute value equation
As we shall be considering the positive and negative values of the expression inside the lines (x+3), this plot will usually take a v shape, coming out from a certain point
The plot is shown below;
As we can see from the plot, we have two x-intercepts (the points at which the plot touches the x-axis), 1 tip (vertex) and 1 y-intercept (the point at which the graph touches the y-axis)
The labelings are as follows;
x-intercept 1; (-3.5,0)
x-intercept 2; (-2.5,0)
y-intercept; (0,-5)
Vertex; (-3,1)
Jill claims that for positive fractions a/b+a/c= a/b+c because the fractions have a common numerator. How do you respond?
Answer:
Jill is incorrect.
Step-by-step explanation:
To add fractions, you need a common denominator, not a common numerator, so Jill is incorrect and her sum of fractions is incorrect.
The correct addition is:
[tex] \dfrac{a}{b} + \dfrac{a}{c} = \dfrac{ac}{bc} + \dfrac{ab}{bc} = \dfrac{ac + ab}{bc} [/tex]
-16t^2+10t+6= 0.75please help asap !!!!!!
The problem is asking you to find tha height of the ball after 0.75 seconds, and they give you the formula for the height:
[tex]h(t)=-16t^2+10\text{ t + 6}[/tex]So since this a function in terms of the time "t", all you need to do is to replace t with "0.75" in the equation, and thus obtain the height of the object at that moment in time:
[tex]h(0.75)=-16(0.75)^2\text{+10 (0.75)+6=}4.5[/tex]The answer comes in feet, and it is: 4.5 ft
Victoria is purchasing a futonmattress for $223.80,including tax. She gives thesales clerk 2 fifty-dollar bills, 3twenty-dollar bills, and 13five-dollar bills. How muchshould she receive in change?T
According to the given data we have the following:
Victoria is purchasing a futon mattress.
futon mattress price=$223.80
Victoria would pay the futon mattress with 2 fifty-dollar bills, 3 twenty-dollar bills, and 13 five-dollar bills.
So, 2 fifty-dollar bills would be=2*50=$100
Directions: Solve each system of equations algebraically. Verify the solution using the graph of the system. 1. y=-x-4 y = 3x у I o X
Directions: Solve each system of equations algebraically. Verify the solution using the graph of the system.
y=-x-4 (I)
y = 3x (II)
________________________
Using the substitution method
y = 3x
Substituting (II) in (I)
y=-x-4
3x =-x-4
3x +x = -4
4x= -4
x= -1
_____________________
Replacing in one of the equations
y = 3x
y= 3*-2
y= -3
___________
Verify the solution using the graph of the system
_____________________
Answer x= -1, y = -3
