The 3 consecutive odd integers are -3, -5 and -7
Linear functionLet the 3 consecutive odd integers be 2x-1, 2x+1 and 2x+3
If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;
2(2x-1)+2x+3 = 5(2x+1)
Expand
4x-2 + 2x +3 = 10x+5
6x +1 = 10x + 5
6x - 10x = 5 - 1
-4x = 4
x = -1
Determine the numbers
First number = 2(-1) - 1 = -3
Second number = -5
Third number = -7
Hence the 3 consecutive odd integers are -3, -5 and -7
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Without dividing, choose <, >, or = to make each statement true.
We can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the inequality signs as : >, < and =.
An inequality is used to make unequal comparisons between two numbers or expressions.
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.Therefore, we can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.To solve more questions on inequalities, visit the link below -
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A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
find the surface area of the regular hexgonal prism.
Check the picture below.
so the hexagonal prism is really just a hexagon with six 8x27 rectangles, let's simply get the area of all and sum them up.
\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} p=perimeter\\ a=apothem\\[-0.5em] \hrulefill\\ p=\stackrel{8\times 6}{48}\\ a=6.9 \end{cases}\implies A=\cfrac{1}{2}(6.9)(48)\implies A=165.6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{six rectangles} }{(6)(8)(27)}~~ + ~~\stackrel{ \textit{hexgonal face} }{165.6}}\implies 1296+165.6\implies \text{\LARGE 1461.6}~in^2\)
Karen runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
x = 4.363636...
Step-by-step explanation:
Set up a ratio
6 miles : 55 minutes
x miles : 40 minutes
Cross Multiply
55x = 40*6
55x = 240
55x / 55 = 240 / 55
x = 4.363636...
what digit is in the
Given the expression;
\(\frac{17}{33}.\frac{3}{5}\)This is a multiplication. The dot (or period) is used to denote multiplication in math. Hence, we would have;
\(\begin{gathered} \frac{17}{33}\times\frac{3}{5}\Rightarrow\frac{17}{11}\times\frac{1}{5} \\ \text{This can also be re-written as;} \\ \frac{17\times1}{11\times5}\Rightarrow\frac{17}{55} \end{gathered}\)The answer therefore is 17/55
\(\frac{17}{55}\)**Note that, while solving the fraction at the first step, the number 3 cancels out itself while at the same time reduces 33 to 11 (that is 3 goes into 33 eleven times)**
Def rotates 90 degrees clockwise about point a
Answer:
whut
i dont get it my man.
EnWAP
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements are always true regarding the diagram are m∠5+m∠6=180°, m∠2+m∠3=m∠6 , m∠2+m∠3+m∠5=180°
How to find the measure of angles?The given parameters are
m∠5+m∠3=m∠4 ----> equation A
The m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
Substitute equation B in equation A
m∠5+m∠3=180°-m∠3
m∠5+m∠3+m∠3=180°
This equation is true when m∠2=m∠3
Therefore Is not always true case B) we have
m∠3+m∠4+m∠5=180° ----> equation A
We know that m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
Substitute equation B in equation A
m∠3+(180°-m∠3)+m∠5=180°
m∠5=0°
This option is not true case C) we have
m∠5+m∠6=180° we know that m∠5 and +m∠6 are supplementary angles so
Their sum is always 180 degrees
therefore this option is always true case D) we have
m∠2+m∠3=m∠6 -----> equation A
We know that m∠5+m∠6=180° ----> by supplementary angles
m∠6=180°-m∠5 ----> equation B substitute equation B in equation A
m∠2+m∠3=180°-m∠5
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
Therefore this option is always true case E) we have
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
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A stock price will rise if:
Supply of stock is greater than demand
The price-earnings ratio is 10 or greater
Stock yield is greater than 8%
Demand for stock is greater than supply
None of these
A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).
What is Stock price ?The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.
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Complete question:
A Stock Price Will Rise If:
a) Supply Of Stock Is Greater Than Demand
b)The Price-Earnings Ratio Is 10 Or Greater
c)Stock Yield Is Greater Than 8%
d) Demand For Stock is Greater Than Supply
e) None Of These.
Simplify –2(x + 4) + 5x + 10 completely.
Answer:
Step-by-step explanation:
We can simplify -2(x + 4) + 5x + 10 using the distributive property of multiplication over addition/subtraction and then combining like terms.
-2(x + 4) + 5x + 10
= -2x - 8 + 5x + 10 (distribute the -2)
= 3x + 2 (combine like terms)
Therefore, -2(x + 4) + 5x + 10 simplifies to 3x + 2.
The price of a phone is decreased by 19% and now is $319.14. Find the original price
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.
Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.
The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.
For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.
we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.
The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.
We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
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Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.
Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:
\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)
Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)
Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)
Calculating the proportion:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)
Calculating the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)
Simplifying the equation:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)
Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)
Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Question content area top Part 1 Think About the Process Use the algebra tiles to help you solve the equation 2x - 4 = 10. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
The solution to the equation is x = 7.
What is the linear equation in one variable?
A linear equation in one variable is an equation of the form ax + b = 0, where a and b are constants and x is the variable. The general form of a linear equation in one variable is ax + b = 0, where a and b are constants and x is the variable. The graph of a linear equation in one variable is a straight line.
The first step in solving the equation 2x - 4 = 10 using algebra tiles would be to add 4 to both sides of the equation to get 2x = 14. The next step would be to divide both sides of the equation by 2 to get x = 7.
Hence, the solution to the equation is x = 7.
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D.
A
B.
A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.
108 ft²
T
6 ft
162 ft²
144 ft²
180 ft²
11
6 ft
What is the area of the sidewalk in square feet?
11
18 ft
30 ft
The area of the sidewalk is 388 square feet.
How to find the area of the sidewalkTo find the area of the sidewalk you can find the area of each individual shape and add them together.
Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.
Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.
Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.
Area of the square = 11 ft x 11 ft = 121 sq. ft.
Therefore, the total area of the sidewalk is:
33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.
So, the area of the sidewalk is 388 square feet.
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What is most liklely gonna be correct by guessing A B C or D
Answer:
I think B
Step-by-step explanation:
It woks for me more than the others.
please help answer these two i beggg
Answer:
i can only answer 1 but the first one is c
Step-by-step explanation:
In the diagram, <4 and <5 are what type of angles?
A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles
Answer:
B. Alternate interior angles
Step-by-step explanation:
9 ft
4.7 ft
6.5 ft
6.5 ft
Find the area of the triangle.
Answer: 21.15 ft²
Step-by-step explanation:
We can use the formula for the area of a triangle:
(b×h)/2
In this case, the base is 9 and the height is 4.7.
So, we substitute the variables with the numbers in this problem.
(9 × 4.7)/2
9 × 4.7 = 42.3
42.3/2 = 21.15
So, our final answer is 21.15 ft²
Substitute x=-2y into the expression 6x-7 and simplify
Answer:-12y -7
Step-by-step explanation: I think
Answer:
-12y - 7
Step-by-step explanation:
x = -2y
6x - 7 or 6(-2y) - 7
-12y - 7
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
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Graph y = 3x + 2. due today!
Answer:
Refer to picture.
How to:
Put a dot at (0,2) for the +2 in the equation.
Go three spaces up and one to the right. Repeat this until you can make a line.
SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D
The area of the figure is 51.4 unit²
The complete questionFigure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
See attachment for the figure
The area of the figureThe figure can be divided into the following shapes:
Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4The area of the trapezoid is:
Area = 0.5 * (Sum of opposite sides) * height
So, we have:
Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5
Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8
The area of the triangle is:
Area = 0.5 * Base * Height
This gives
Triangle = 0.5 * 4.8 * 4 = 9.6
Add the individual areas
Area = 32 + 9.8 + 9.6
Evaluate the sum
Area = 51.4
Hence, the area of the figure is 51.4 unit²
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I need help with this please help me
Answer: A
Step-by-step explanation:
The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).
Which of the following graphs is NOT a function?
Answer:
Step-by-step explanation:
The ellipse (the top one). Check out the y axis. It hits the ellipse in two places when x = 0
That makes it a non function.
Definition: a function has only 1 y value associated with a corresponding x value.
A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?
Answer:
slope= -1
y-intercept is 6
Step-by-step explanation:
slope = y2-y1/ x2-x1
slope = 6-8/ 0-(-2) = -1
y-intercept is 6 because of (0,6), where the points cross y-axis
What are the positive and negative square roots of 3,600?
Answer:
60 and -60
Hope this helps! :)
URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION
Answer:
a) x=0, x=1
b)x=0, x=4/3
Step-by-step explanation:
I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.
A)
3x²-3x+2=2
3x²-3x+0
x(3x-3)=0
For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.
Therefore..
x=0
or 3x-3=0, ∴x=1
b)
3x²-3x-1 = x-1
3x²-4x=0
x(3x-4)=0
∴x=0, x=4/3
Answer:
I checked it over twice the first guy is correct make him brainliest
Step-by-step explanation:
Please answer correctly and no links, 3 only
Answer:
the last one
Step-by-step explanation:
he made 8 and a half cups, each serving is a quarter cup. so we have to divide what he made by the serving size to determine how many servings he made
How to solve 17.1 - 8.2y = -7.02
the answer is
\(y = 2.941463\)
which is closest to 3.
The company Save My Data offers data
storage in different packages for other
companies. 14 cloud accounts and 1 hard
drive have a total capacity of 18
terabytes. 3 hard drives and 4 cloud
accounts have a total capacity of 22
terabytes. Find the capacity of I cloud
account and the capacity of 1 hard drive.
the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.
Let's assume that the capacity of 1 cloud account is "C" terabytes and the capacity of 1 hard drive is "H" terabytes.
We can then set up a system of two equations to represent the given information:
14C + H = 18 (equation 1)
4C + 3H = 22 (equation 2)
We can use either substitution or elimination method to solve for C and H. Let's use elimination method by multiplying equation 1 by 3 and equation 2 by -1:
42C + 3H = 54 (equation 1 multiplied by 3)
-4C - 3H = -22 (equation 2 multiplied by -1)
Adding the two equations together, we get:
38C = 32
Dividing both sides by 38, we get:
C = 0.8421...
Now we can substitute this value of C into either equation 1 or equation 2 to solve for H. Let's use equation 1:
14C + H = 18
14(0.8421...) + H = 18
H = 5.7895...
Therefore, the capacity of 1 cloud account is approximately 0.8421 terabytes, and the capacity of 1 hard drive is approximately 5.7895 terabytes.
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