Answer: The value of f/5 is 4.
Step-by-step explanation: This question can be solved by using substituting the value of f( which is 20) in the earlier given expression ( which is f/5).
Here are the steps to solve this question:-
Step 1. Expression = f/5 ( according to the question)
Step 2. Value of f=20 ( according to the question)
Step 3. Using the value of f in step 2 in the equation given in step 1,
f/5=20/5
f/5=4
Thus, the value of expression f/5 is 4.
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An inequality is shown below. 4x + 2 < 2x + 9 Which graph shows the solution to the inequality?
Answer:
The graphs are not shown, but I can tell you that x < 3.5
Step-by-step explanation:
[tex]4x + 2 < 2x + 9[/tex]
[tex]2x + 2 < 9[/tex]
[tex]2x < 7[/tex]
[tex]x < 3.5[/tex]
The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3. What is the first term of this series
The first term of the series such that the sum of the first three terms of the geometric series is 171 is equal to 81.
What is the first term of a geometric series?
In this problem we find the sum of three consecutive elements of a geometric series. A geometric series is a set of elements generated by a discrete exponential expression of the form:
y = a · rⁿ ⁻ ¹
Where:
a - First term of the series.r - Common ration - Index fo the element.According to the statement, we find the following expression:
a · (2 / 3)² + a · (2 / 3)¹ + a · (2 / 3)⁰ = 171
(4 / 9) · a + (2 / 3) · a + a = 171
(19 / 9) · a = 171
a = 81
Then, the first term of the series is:
y = 81 · (2 / 3)¹ ⁻ ¹
y = 81
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5. A man's taxable income is $35 200. He pays income tax at the rate of 25%. The amount of income tax payable is
If a man's taxable income is $35200 and he pays income tax rate of 25%, the amount of income tax payable is $8800
The man's taxable income = $35200
The income tax rate = 25%
The percentage is the hundredth part of any number.
The amount of income tax payable = The man's taxable income ×(The income tax rate/100)
Substitute the values in the equation
The amount of income tax payable = 35200×(25/100)
= 35200×0.25
= $8800
Hence, if a man's taxable income is $35200 and he pays income tax at the rate of 25%, the amount of income tax payable is $8800
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Katherine bought 12 bananas for $2. What was the cost of the bananas in bananas
per dollar?
Ver en español
Using her garden hose, Camilla filled up a 4-gallon bucket in just
1
6
of a minute. At what rate does water flow through the hose?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per minute
If Camila filled up a 4-gallon in just 1/6 of a minute, then the rate of water flow through the hose is 24 gallons/minute
Camila filled up a 4-gallon bucket in just 1/6 of a minute
Here we have to use the unitary method to find the rate of water flow through the hose
The quantity of water filled in 1/6 of a minute= 4 gallon
The quantity water filled in one minutes = The quantity of water filled in 1/6 of a minute ÷ (1/6)
Substitute the values in the equation
= 4÷(1/6)
= 4×6
= 24
The rate of water flow through the hose = 24 gallons/ minute
Hence, if Camila filled up a 4-gallon in just 1/6 of a minute, then the rate of water flow through the hose is 24 gallons/ minute
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6s-3/4 simplified
very hard
The simplified form is 3/4( 2s-1).
The problem we dealing with here is related to factors of linear polynomial, where a linear polynomial is characterized as any polynomial expressed in the form of a condition of p(x) = ax + b, where a and b are real numbers and a ≠ 0. In a linear polynomial, the degree of the variable is rise to 1 i.e, the highest type of the variable is one, whereas a factor of polynomial P(x) is any polynomial that divides equitably into P(x). The factorization of a polynomial is its representation as a product of its variables.
The problem that is given to us is 6s-3/4 ,we just need to find common factor it to convert it into a simpler form.
We can see 3/4 is the common factor out here so it wil be
=3/4 (2s-1)
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Put these numbers in order from greatest to least.
0.25
5 3/12
-5 18/40
Answer:
Step-by-step explanation:
5 3/12
0.25
-5 18/40
Which interval describes where the graph of the function is negative?
The interval that describes where the graph of this function is negative is: C. 2 < x < ∞
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
Generally speaking, a function is typically used for mapping an input variable to an output variable. In Mathematics, the value of y on the y-axis of a graph must be less than 0 (x < 0) for the graph of any function to be negative.
By critically observing the graph of this function, we can logically deduce that at point x = 2 is where the value of y becomes less than 0 (x < 0) and continues to infinity. Therefore, the graph of this function is negative is at an interval of 2 < x < ∞.
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I need help answering this math equation?
PLEASE HELP !!What is the slope of a line parallel to the line whose equation is 8x+10y=60.
Answer:
In slope intercept form -5y = -4 - 30
Step-by-step explanation:
Slope intercept form is y=mx + b
Rewrite your equation in this form
-10y = -8x - 60
Find GCF (Greatest Common Factor) in this case it is 2
Divide all by 2
-5y = -4x - 30
divide both sides by -5
y = 4/5x + 6
slope = 4/5
Answer:
8
Step-by-step explanation:
so we know the formula of a line is y=mx+b
1. arrange 8x+10y=60 into y=mx+b format
2. 10y=8x+6
3. we see that 8 = m
4. parallel line NEVER intersect so therefore they have the same slope (whereas perpendicular lines intersect so the slope for a perpendicular line would be -1/8)
a 2000l tank containing 550l of water is being filled wiwter at the rate of 75l per min from full 1600l tank how long will it be before the two tanks have the same amount of water
By using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equation that will help to find the answer:
550+75x = 1600-75xSo, now solve for x as follows:
550+75x = 1600-75x150s = 1600-550150x = 1050x = 1050/150x = 7Therefore, by using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.
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where w is the width of the rectangle. Assume that w is a whole number. Use this function to answer Items 17-20. 17. Make a table of values and a graph of the function. 18. Attend to precision. Give a reasonable domain for the function in the context. Explain your answers 19. Identify the y-intercept of the function. What does the y- insert represent within this context? 20. What is the absolute maximum of the function? What is the absolute minimum?
Answer: I would use the max as 25
Step-by-step explanation: You use the variables of y, for the numbers os the maximum. so i would be high
i need help please , like really fast !
nvm i left
Step-by-step explanation:
cuanto es 1500x830 +321
The given expression 1500 x 830 + 321 can be solved as 12,45,321 using arithmetic operations.
What is multiplication and addition?Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.
Addition is the process of combining two or more items (or numbers) to create a new sum.
Given the expression: 1500 x 830 + 321
Using BODMAS, first we do the multiplication.
So, 1500x 830 = 12,45,000
Now, continuing with the addition, we get
12,45,000 + 321 = 12,45,321
Therefore, the given expression can be solved as 12,45,321.
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"The given question is:
Calculate 1500 x 830 + 321"
Using proportios (ratios) find the valure of x.
The value of x is 7.82
How to get values using proportions?Following these procedures will help us use proportions to solve challenges in the real world:
1. Set up two ratios comparing the identical quantities using the information from the problem.
2. Create a proportion by setting the ratios equal.
3. To find the proportional unknown, use cross multiplication.
[tex]AB/ AD = TS/ UT[/tex]
[tex]7/ 14.8= 3.7/ x[/tex]
On cross multiplying we get
7x= 54.76
x= 7.822
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Please help me please please
ok so at first if u have fractions like the first follow my instruction:
1st: u have 2/3---1/2, u will multiply 3 by 1 and 2 by 2 so u will get 6 and 4
but remember that 2/3 and 1/2 u cris cross it the left one comes first like 6 then 4 so it could balance and do the rest of the fractions like that.
2nd: if u have decimal u will check the number after the decimal but if the are the same u will compare the numbers before the decimal.
I hope it's usefull
What mistake did Richard make? Explain what he needs to do to fix it.
Given:-
[tex]x^2-6x+8=0[/tex]To find the simplified form and the mistake.
So now we use the formula,
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]So now we substitute the value. so we get,
[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{6\pm\sqrt[]{6^2-4\times1\times8}}{2\times1} \\ x=\frac{6\pm\sqrt[]{36-32}}{2\times1} \\ x=\frac{6\pm\sqrt[]{4}}{2\times1} \\ x=\frac{6\pm2}{2} \end{gathered}[/tex]So now we get,
[tex]\begin{gathered} x=\frac{6\pm2}{2} \\ x=\frac{6+2}{2},x=\frac{6-2}{2} \\ x=\frac{8}{2},x=\frac{4}{2} \\ x=4.x=2 \end{gathered}[/tex]So the value of x is,
[tex]4,2[/tex]So the mistake is in step 5.
Four liters of water are mixed with 6 juices lemons to make lemonade. How many liters of water should be mixed with 10 juiced lemons to obtain the same result? (show work)
F.) 4 2/3
G.) 5 1/3
H.) 6 1/3
J.) 6 2/3
K.) 8 1/3
6 2/3 liters of water should be mixed with 10 juiced lemons to obtain the same result as Four liters of water are mixed with 6 juices lemons to make lemonade.
What is unitary method?A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel.
What is proportion?A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).
By using unitary method, 4 liters was water has 6 lemons
1 lemon will have 4/6 liter of water.
So 10 lemon will have
(4/6)*10=40/6
=20/3
=6 2/3 liters
Mix 10 freshly squeezed lemons with 6 2/3 liters of water to make lemonade as needed to combine the juice of six lemons with four liters of water.
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Write the linear equation that gives the rule for this table X 2,3,4,5 Y 1,2,3,4
Answer: [tex]Y=X-1[/tex]
Step-by-step explanation:
The standard linear equation for the table is expressed as y = mx + b with
m as the slope of the line and b as the y-intercept.
We will use coordinates (2,1) and (3,2) from the table to calculate the slope, m.
[tex]\begin{equation}\begin{aligned}m &=\frac{Y 2-Y 1}{X 2-X 1} \\m &=\frac{2-1}{3-2} \\m &=\frac{1}{1} \\m &=1\end{aligned}\end{equation}[/tex]
We can find the formula using the point-slope formula.
[tex](Y -Y 1)=\ m (X -X1)\\Y-1=1(X-2)\\Y-1=X-2\\Y=X-1[/tex]
Solve the equation +−=.4 plus . fraction 3 x minus 1 , over 2 end fraction . equals 9 . Explain the reasons why you chose your solution method.
The value of x based on the equation illustrated as 0.4 + (3x - 1) = 9 will be 3.2.
How to compute the equation?It should be noted that an equation is important in Mathematics to show the relationship between the expressions that are given. This will be illustrated as:
0.4 + (3x - 1) = 9
Collect the like terms
0.4 + 3x - 1 = 9
3x = 9 - 0.4 + 1
3x = 9.6
Divide through by 3
3x / 3 = 9.6 / 3
x = 3.2
Therefore, x is 3.2.
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how many cars are needed to take 53 girls to match if each car can take only 5
11 cars needed to take 53 girls to mach if each car can take only 5 girls .
Answer:
10 cars carry 5 girls (10 x 5 = 50) and one car carries 3, so you need 11 carsStep-by-step explanation:
53 : 5 = 10.6
53:5=10,6
5
3 (rest)
0
30
30
0
10 cars carry 5 girls (10 x 5 = 50) and one car carries 3, so you need 11 cars
Is [tex]\sqrt{72}[/tex] irrational or rational , and why?
(please help im like a month late with this assignment)
Answer:Irrational
Step-by-step explanation:The answer does not end and is infinite.
Answer:
it is irrational number
Step-by-step explanation:
it just is irrational number
-3k+4=-2-6k please help me with this equation
Answer:
k=2
Step-by-step explanation:
[tex]-3k+4=-2-6k \\ \\ 3k+4=-2 \\ \\ 3k=6 \\ \\ k=2[/tex]
if y = x^2 - 2 what is the value of y when x=3
Answer: y = 7
Step-by-step explanation: 3^2 is 9 and 9 - 2 is 7.
A landscape designer drew a blueprint for a gardenhe was planning. the scale was 1 inch : 2.5 feet. the path through the garden is 5 inches long and 1.5 inches wide on the blueprint. the designer plans to cover 80% of the area of the path with crushed rocks. how many square feet of the actual path should be covered in crushed rocks
Given,
1 inch = 2.5 feet
∴ Area of garden = ( 5 x 2.5) x ( 1.5 x 2.5) feet
Since, 80% area will be used as path with crashed rock,
therefore, 12.5 x (1.5 x 2.5)/ 100 x 100 x 10 feet
= 37.5 sq. feet
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If the letter n represents a positive integer {1,2,3,4…} the next consecutive is?
Consecutive integer is 5.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common mathematical symbol for the set of integers. An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
Given Data
the letter n represents a positive integer {1,2,3,4…}
Consecutive = x +1
Here.
x = 4
Consecutive integer = x + 1
Consecutive integer = 4 + 1
Consecutive integer = 5
Consecutive integer is 5.
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Which inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
Since the line is dotted, we can guarantee that it is either >/< and not <=/>=.
Since the shaded part takes up the higher values of y, we can guarantee that it is > and not </<=/>=.
Therefore, the answer is C.
A cylinder has a base diameter of 20 feet and a height of 8 feet what is the cubic volume
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. How many games had he rented?
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. he played games had he rented 82 games.
What are mathematical operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
A set of numbers and operations make up a mathematical expression. The components of a mathematical expression that performs an operation are:
Operands: Operands are the numerical values that are employed in an operation. Different words are given to the operands depending on the type of operation.
Operator: An operator is the symbol used to represent a mathematical operation.
+ for the addition− for the subtraction× for the multiplication÷ for the division = for the equal to, indicates the equivalence, that is the left hand side value is equal to the right hand side value.Solving the above;
Membership costs him= $50
Per game rented= $3
Amount he spent = $296
Therefore, Number of games he rented=[tex]\frac{296-50}{3}[/tex]
= 82
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Looking at this proof of the Pythagorean Theorem, which statement would be true?
Answer: a
Step-by-step explanation:
We know that [tex]a^2 +b^2 =c^2[/tex]. The left hand side is the same as the sum of the areas of the two green squares, and the right hand side is the same as the area of the one large green square.