Answer: 5:1
Step-by-step explanation: 10:2 can be simplified by dividing both by 2, making it 5:1
17a^3+19a^3-25a^3-(-17a^3+19a^3-25a^3). PLEASE HELP!!!!!!!
Answer:
34a^3
Step-by-step explanation:
Since every term is alike we can add and subtract freely
(I wont be writing a^3 on every term to make this less confusing)
17 + 19 - 25 - (-17 + 19 - 25)
first the parenthesis do what is inside the parenthesis
17 + 19 - 25 - (-23)
now add everything
11 - (-23)
simplify
11 + 23
34
everything of course has a^3 at the end so
34a^3 is the answer
In a town, 100 people need 600 liters of water to drink everyday. At a festival time how many liters of water do they need to drink with their 50 guests?
The amount of water needed to drink with their 50 guests is 900 liters.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
In a town, 100 people need 600 liters of water to drink every day.
This can be written as,
100 people = 600 liters of water
50 guests are added.
The number of people = 100 + 50 = 150 people.
Now,
100 people = 600 liters of water
Multiply 150/100 on both sides.
150 people = 150/100 x 600 litres of water
150 people = 900 liters of water
Thus,
The amount of water needed to drink with their 50 guests is 900 liters.
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Use the relationship among the three angles of any triangle to solve.
Two angles of a triangle have the same measure and the third angle is 66° greater than the measure of the other two.
Find the measure of each angle.
1. Measure of the top angle is (?)
2. Measure of the bottom left angle is (?)
3. Measure of the bottom right angle is (?)
Answer:
1. 104
2. 38
3. 38
Step-by-step explanation:
3x + 66 = 180
3x = 114
x = 38
selecting a counter displays information about that counter's collected data as a chart type. which chart type displays the current value of each performance counter in decimal format? group of answer choices line histogram bar report stacked area
The Bar graph, Line graph and Report displays the counter in decimal format.
Selecting a counter displays information about that counter's collected data as a chart type. The bar graph, line graph and report displays the current value of each performance counter in decimal format.
Line graph: - Line graph, also known as a line chart or line plot, is commonly drawn to show how something changes over a period of time. scientists and engineers use these graphs to understand and derive meaning from large chunks of data.
Bar graph: - This are the pictorial representation of data, in the form of vertical or horizontal rectangular bars, where the length of bars are proportional to the measure of data. They are mostly used in business and finance, but they can also be found in other contexts. This can be used to show the distribution of different heights of students in a class.
Report: - A report is a document that presents information in an organized format for a specific audience and purpose. All the skills and the knowledge of the professionals are communicated through reports. Reports help the top line in decision making. A rule and balanced report also helps in problem solving.
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Which of the following is a figure consisting of two rays with the same endpoint? (1 point)
O Angle
O Circle
O Line
O Vertex
Answer would be Angle as it has 2 rays and the same endpoint
Point n is located at (3, 5). If point n is translated 3 units right and 2 units down, the new coordinates will be.
The revised coordinates for the indicated site are (6, 3).
Given information;
Location of Point n (3, 5). The new coordinates will be if point n is moved 2 units down and 3 units right.
To get new coordinates we have to transform given points;
Transformation of the coordinate system:
Defining new coordinate systems on the plane frequently involves coordinate transformations. The transformation's u- curves are representations of vertical lines with the form u- constant, while the v- curves are representations of horizontal lines with the form v- constant.
∴ (3, 5) ⇒ (3 + 3, 5 - 2)
⇒ (6, 3)
Hence, (6, 3) are the new coordinates of the given point.
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What is 54 divided by 6,539 equal
Answer:
0.00825814344701024621501758678697
Step-by-step explanation:
Use a calculator please<3
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
[tex]y \ \textgreater \ x^{2} -1[/tex]
[tex]y\leq -x^{2} +4[/tex]
The solution set of the inequalities can be identified by investigating the coefficient of x^2
How to interpret graph of a parabolaThe graph of a parabola is represented by a curve as used in the graphs attached in the equation
Parabolic graphs are also called graph of quadratic equation
The equation is usually in this form
y = ax^2 + bx + c
when it is "y =" it is a vertical parabola the graph will either opens up or down
The coefficient of "x^2" which is "a" says if the curve opens upwards or downwards. when a is:
positive the parabola opens upwards andnegative means the parabola opens downwardsy > x^2 - 1 "a" is positive hence opens upwards
y ≤ -x^2 + 4 "a" is negative hence opens downwards
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differentiate 2x-3/2x+1
Differentiation of [tex]\frac{2x-3}{2x+1}[/tex] is [tex]\frac{8}{4x^{2}+4x+1}[/tex] .
Differentiation formula for [tex]\frac{d}{dx}(\frac{u}{v}) = \frac{v\frac{d}{dx} - v\frac{d}{dx}}{v^{2} }[/tex]
Here, u = 2x - 3
v = 2x + 1
[tex]\frac{d}{dx}u[/tex] = 2
[tex]\frac{d}{dx}v[/tex] = 2
[tex]v^{2} = (2x+1)^{2}[/tex]
[tex]= 4x^{2}+4x+1[/tex]
Putting the values,
[tex]\frac{d}{dx}(\frac{2x-3}{2x+1}) = \frac{(2x+1)(2)-(2x-3)(2)}{4x^{2}+4x+1}[/tex]
[tex]=\frac{4x+2-(4x-6)}{4x^{2}+4x+1}[/tex]
[tex]=\frac{4x+2-4x+6}{4x^{2}+4x+1}[/tex]
[tex]=\frac{8}{4x^{2}+4x+1}[/tex]
Hence, Differentiation of [tex]\frac{2x-3}{2x+1}[/tex] is [tex]\frac{8}{4x^{2}+4x+1}[/tex] .
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6
If 12 grams of coffee costs x dollars and each
gram makes y cups of coffee, what is the cost
of one cup of coffee in terms of x and y?
A)
B)
C)
D)
12y
12x
12x
y
12y
The cost of one cup of coffee in terms of x and y is x/12y.
Given in question,
Cost of 12 grams coffee = x dollars
Cost of 1 gram coffee = x/12 dollars
1 gram coffee make cups = y
Cost of 1 cup = (x/12)/y
= x/12y
Hence, the cost of one cup of coffee in terms of x and y is x/12y.
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1. Which equation below is n = 2 a solution for?
3n = 6
n-1=2
9+n=12
3+n=8
The equation 3n = 6 has a solution n = 2.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have to find that which equation below is n = 2 a solution.
Then substitute n = 2;
3n = 6
3(2) = 6
This equation has a solution n = 2.
2. n-1=2
Then substitute n = 2;
2 - 1 = 1
The solution of the equation is not n = 2
3. 9+n=12
Then substitute n = 2;
9 + 2 = 11
The solution of the equation is not n = 2
4. 3+n=8
Then substitute n = 2;
3 + 2 = 5
The solution of the equation is not n = 2
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the cost of using a parcel service is r dollars for the first 3 pounds and s dollars for each additional pound. which of the following expressions represents the cost, in dollars, of sending a parcel that weighs 9 pounds?
a) r+3s
b) r+6s
c) 3r+6s
d) 3r+9s
e) 9r+9s
Answer:
The correct answer is: c) 3r + 6s
Step-by-step explanation:
the first 3 pounds are always going to be r dollars, then every additional pound will be s dollars.
Since we have a package that weighs 9 pounds; 3 pounds will cost r dollars and 6 pounds wills cost s dollars.
example:
lets say that r = 10 and s = 5
the first 3 pounds will cost 10 dollars and then every pound after would be 5 dollars
so:
3(10) + 6(5)
This is just an example, since we don't know the actual values of r and s, we just use those variables.
find the quadratic function
For the quadratic function y = ax² + bx + c , for which graph passes through the points (2, 31), (3 , 45) , (1, 19) is given by y = x² + 9x + 9.
As given in the question,
Standard form of quadratic function,
y = ax² + bx + c
Graph of the quadratic function passes through the points (2, 31),
(3 , 45) , (1, 19) .
When passes through (2, 31)
31 = 4a + 2b + c __(1)
Passes through (3,45)
45 = 9a + 3b + c __(2)
Passes through (1, 19)
19 = a + b + c __(3)
Multiply 9 to (3) and subtract (2) from it,
9a + 9b + 9c =171
9a +3b + c = 45
6b + 8c = 126 ____(4)
Now, Multiply 4 to (3) and subtract (1) from it,
4a + 4b + 4c =76
4a +2b + c = 31
2b + 3c = 45____(5)
Multiply 3 to (5) and subtract (4) from it,
6b + 9c = 135
6b + 8c =126
c = 9
Substitute c= 9 in (5) we get,
2b + 3(9) = 45
⇒ b = 9
Now , substitute b = 9, c = 9 in (3) we get,
a + 9 + 9 = 19
⇒ a = 1
Required quadratic function is :
y = x² + 9x + 9
Therefore, for the quadratic function y = ax² + bx + c , for which graph passes through the points (2, 31), (3 , 45) ,(1, 19) is given by y =x² + 9x + 9.
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer:
Below
Step-by-step explanation:
3 6 and 7 = 82 °
1 4 5 8 = 180 - 82 = 98 °
question is on image
The equation of the line that passes through the point (-6, 6) and (-3, 7) is y = 1 / 3 x + 8
How to find equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + c
where
m = slope of the linec = y-interceptHence, the line passes through the point (-6, 6) and (-3, 7)
m = slope = 7 - 6 / -3 + 6
m = 1 / 3
Therefore, the y-intercept of the line can be found using (-6, 6)
y = 1 /3 x + b
6 = 1 / 3 (-6) + b
6 = -2 + b
b = 6 + 2
b = 8
Therefore, the equation of the line is y = 1 / 3 x + 8
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view picture please!!!
Answer:
70/3
Step-by-step explanation:
[tex]f(0)=\frac{140}{1+5e^{-2(0)}} \\ \\ =\frac{140}{1+5(1)} \\ \\ =\frac{140}{6} \\ \\ =\frac{70}{3}[/tex]
v- 15
------- = 2
2
What is the answerrr :D
Answer:
Can you tell me what i'm supposed to be finding
Step-by-step explanation:
HElp if your good whit money
According to the concept of card payment, the true statement is "If you purchase an item using debit card, the money will deducted from your bank account".
Card payment:
Card payment refers any transaction whereby the Card is used to settle bills or to pay for certain goods and/or services at a Post Office branch.
Given,
Here we need to find the true statement according to the purchase.
While we looking into the given options,
The first option is incorrect because it says there is no interest for credit card purchase. This one is wrong because we have to pay interest for credit card purchase.
The second option is wrong because it tells that the money will be deducted from your account. If anyone can purchase using the credit card the money will only be deducted at the end of the month with some interest on it.
The third option is incorrect because debit card transaction are truly based on the amount within you account so it is not a borrowed one.
Therefore, the final statement is the correct one.
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james can go 144 miles with 12 gallons of gas in his truck.how far can he go on 17 gallons?
Answer: 204 miles
Step-by-step explanation:
Simplify 4√20- 3√45. Show your work.
Answer:
Answer:
- [tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
simplifying radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
and
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
4[tex]\sqrt{20}[/tex] - 3[tex]\sqrt{45}[/tex]
= 4(2[tex]\sqrt{5}[/tex] ) - 3(3[tex]\sqrt{5}[/tex] )
= 8[tex]\sqrt{5}[/tex] - 9[tex]\sqrt{5}[/tex]
= - [tex]\sqrt{5}[/tex]
The rectangular floor of a classroom is 24 feet in length and 30 feet in width. A scale drawing of the floor has a length of 4 inches. What is the area, in square inches, of the floor in the scale drawing?.
The area of the floor in the scale drawing is 20 square inches.
Firstly calculating the width of scale drawing. For this we will equate the two fractions.
Length/width (rectangle) = length/width (scale drawing)
Let the width of scale drawing be x
24/30 = 4/x
x = 4×30/24
Performing multiplication on Right Hand Side of the equation
x = 120/24
Performing division on Right Hand Side of the equation
x = 5
So, the area of scale drawing = length × breadth
Area of scale drawing = 4 × 5
Performing multiplication on Right Hand Side of the equation
Area of scale drawing = 20 square inches
Hence, the area is 20 square inches.
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Kelly is knitting a scarf for her brother. It took her 13 hour to knit 38 foot of the scarf. How fast is Kelly's knitting speed, in feet per hour?
Kelly's knitting speed is 2.92 feet per hour
How to determine how fast is Kelly's knitting speedFrom the question, the given parameters are:
Length of knot = 38 foot
Time to cover this length = 13 hours
The speed of the knitting the scarf is calculated as
Speed = Length of knot /Time to cover this length
Substitute the known values in the above equation
So, we have the following equation
Speed = 38/13
Evaluating the quotient in the above equation, we have
Speed = 2.92
Hence, the speed of knotting the scarf is 2.92 feet per hour
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marko has 45 comic books in his collection and tamara has 61 comic books marko buys 4 new comic books each month and tamara buys 2 comic books each month after how many months will marko and tamara have the same number of comic books
Answer: 8 months
Step-by-step explanation:
2.3.PS-17 Julio says, "If you subtract 14 from my number and multiply the difference by -4, the result is -48." What is Julio's number?
Answer:
12
Step-by-step explanation:
y it equal to 12 is
-48÷-4=12
how do I put 8x=26+14y in standard form
The standard form of the equation of the given straight line is 4x + (-7)y = 13.
We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation is given below.
8x = 26 + 14y
We need to convert this equation to standard form. The standard form of an equation for a straight line is given below.
Ax + By = C
We need to rearrange the given equation so that it matches the correct format. The equation is written below.
8x - 14y = 26
We can simplify the equation further by dividing the whole equation by two.
4x + (-7)y = 13
Hence, the standard form of the equation is 4x + (-7)y = 13.
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I need help with this please
Answer:
No they are not
Step-by-step explanation:
6.23x10^2=623
62,300/10^3=62.3
623>62.3
-Hope this helped
May someone please help me!!!!!!!!!!
Answer:
below
Step-by-step explanation:
The angle dimensions given for each triangle sum to 180 °
so
(x+10) + y+15 + 70 = 180 Simplifies to
x +y = 85
and
x + 20 + 50 + 60 = 180 ° simplifies to
x = 50° use this value in the underlined equation to find y = 35°
Identify which sequence of transformations could map pentagon ABCDE onto pentagon A”B”C”D”E”
For the given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by Line reflection followed by a translation.
As given in the question,
Given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by :
a. dilation followed by a rotation :
Here dilation means enlarge or reduced the original shape which is not true for the given pentagon ABCDE.
b. translation followed by a rotation :
Translation means moves around a fixed point by certain degrees that is horizontal or vertical shift.
Not true.
c. Line reflection followed by a translation:
In this case preimage is flipped across the line or get reflected.
True.
d. Line reflection followed by a line reflection:
Here fixed line is or a line is used as mirror . You get a image of the original.
Not true.
Therefore, for the given sequence of transformation mapping of pentagon ABCDE onto pentagon A"B"C"D"E" is given by Line reflection followed by a translation.
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A fish 12 m below the surface of the ocean swims down 3 m. Then it swims
up 9m. What is the fish's new position? Show your work.
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
x > 5 represents a line with an open circle at 5 and going indefinitely toward infinity.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given inequality is - 3(2x - 5) < 5(2 - x).
- 6x + 15 < 10 - 5x.
- x < - 5.
x > 5 (think of moving x to make it positive).
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