The total number of water stations is 30.
Given:
A race is 36.9 miles long. There is a water station every 1 23/100 miles along the race route.
Total number of water stations = 36.9/1 23/100.
= 36.9/100+23/100
= 36.9/123/100
= 36.9/1.23
= 369/10/123/100
= 369*100/123*10
= 369*10/123
= 3*10
= 30.
Therefore the total number of water stations is 30.
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Suppose a charity received a donation of 12.7 million. If this represents 29% of the charity's donated funds, what is the total amount of its donated funds?
The total amount of its donated funds is 43[tex]\frac{23}{29}[/tex].
Given,
In the question:
A charity received a donation of 12.7 million.
If this represents 29% of the charity's donated funds.
To find the total amount of its donated funds.
Now, According to the question:
Based on the given conditions:
Received donation is = 12.7 million
Charity Funds = 29%
Formulate;
12.7 ÷ 29%
12.7/29%
= 12.7/0.29
Multiply both the numerator and denominator with the same integer
= 1270/29
= 43[tex]\frac{23}{29}[/tex]
Hence, The total amount of its donated funds is 43[tex]\frac{23}{29}[/tex].
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2 Una empleada gana 1200 € mensuales, de los
que aparta 180 € para una cuenta de ahorro. ¿Qué
fracción de su sueldo ahorra
Answer:
15%
Step-by-step explanation:
180/1200 × 100% = 15%
Write 0.7 as a fraction.
Answer: 7/10
Step-by-step explanation:
Answer:
7/10 or 70/100
Step-by-step explanation:
The 7 is in the tens place!
-x+6y= -2
4x-24y = 8
Step-by-step explanation:
this has infinitely many solutions.
why, because both equations are actually representing the same function.
-x + 6y = -2
let's multiply both sides by -4, and the result is
4x - 24y = 8
exactly the same as the second equation.
as both are the same function, their curves are covering each other perfectly, so that every point on the curves is an intersection and therefore solution.
so : infinitely many solutions.
Find the total cost to the nearest cent.
$25 backpack with 7% tax
What is the nearest cent?
The total cost to the nearest cent = 2675 cents.
Given that:
The cost of backpack = $25
Tax = 7%
To calculate the total cost, we can also approach the problem in two ways:
1). Multiply the amount by 7% ($25 x 0.07 = $1.75, rounded up to the nearest cent at 175 cents or $1.75). This will tell us how much tax we will have to pay. Add this to the cost to get the total amount one has to pay (25 + 1.75 = $26.75 or 2675 cents).
2). Multiply the amount by 107%. This includes both steps from 1 in one step. ($25 x 1.07 = $26.75; $26.75 rounded to dollars).
We know that,
1 dollar ($) = 100 cents
Multiply both sides by 26.75
$ 26.75 = 2675 cents.
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Evaluate the triple integral. 4x dv, where e is bounded by the paraboloid x = 2y2 + 2z2 and the plane x = 2. E.
The integral Value is [tex]\pi[/tex] or 22/7 or 3.14
Integral Value: It is a value which is obtained after integrating.
Triple Integral: Integral function of a three variable over a region in R³ ( real number 3D space) are called triple integral.
For x = 2,
x = 2y² + 2z²
equating those two functions, we get,
1 = y² + z²
that gives -1≤ y≤ 1 and -(√x/2 -y²) ≤ z≤ (√x/2 - z²) and 2y²≤ x ≤ 2
so after the integration, the form is quite complicated to solve so use the following form instead letting x = 2 and x = 2y² + 2x², so that the integral became
∫∫∫ 2y² + 2z² dx dA which becomes
ff (2 - 2y² - 2z²) da now use polar coordinate where y= 1 cos Ф and z = 1 sinФ
now, integral becomes
2 ∫¹₀ (1- r²) r dr dФ
= 4[tex]\pi[/tex] ( r²/2 - r⁴ /4)¹ ₀
= 4[tex]\pi[/tex] ( 1/2 - 1/4)
= 4[tex]\pi[/tex] × 2 - 1/4
= [tex]\pi[/tex]
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what does -2 x -3x + 1 = ?
The equation is -2 x -3x + 1 and value of x is 1/5
Given,
In the question:
The equation is :
-2x -3x +1 =?
To solve the above equation:
Now, According to the question:
For finding the value of x
-2x -3x +1
Calculate sum or difference
-5x + 1
-5x = -1
x = 1/5
Hence, The equation is -2 x -3x + 1 and value of x is 1/5
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Solve the word problem. Be sure to use the six steps!
The city of Harris recycles 5,800 pounds of plastic per week. Each resident recycles 4 pounds per week. How many residents live in Harris?
Answer:
1450 residents
Step-by-step explanation:
Number of residents who live in Harris
= 5800 pounds ÷ 4 pounds
= 1450 residents
Empirical statements describe how the world should be. Normative statements describe how the world is.
A descriptive statement (also known as a positive statement) is meant to describe the world as it is a Normative Statement is meant to talk about the world as it should be.
Normative Statement: It expresses a value judgmental about the disability of a situation. For example: samples of normative economic statements including " women should be provided higher school loan than men", etc.
Empirical Statement: It describes what is in the social world, without evaluating it. They are statements that can be measured empirically. Example of Empirical would be : it will rain tomorrow.
Normative statements are judgmental. They are ought statements and they poses question, they device and explicitly say how things should be. They are generalized and subjective in nature, they act as the necessary channels for out of the box thinking.
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please help!!!!!!!!!!!!!!!!!
Answer:
h
Step-by-step explanation:
p depends on h
h won't change according to p
p will change according to h
Answer:
Step-by-step explanation:
should be h
You are a computer technician for Data Control. You earn a regular hourly rate of $15.40. You earn time and a half for overtime work on Saturdays and double time on Sundays. This week you worked 38 hours from Monday through Friday, 8 hours on Saturday, and 5 hours on Sunday. What is your total pay for the week?
Answer:
$693.80
Step-by-step explanation:
The graph of an arithmetic sequence is shown to the right. Write a recursive formula for the arithmetic sequence.
2:9
16-
12-
8-
4-
●
•
The value of slope is 5 .
How to calculate arithmetic sequence ?Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is
Fn+1 = 6+5n
n= 0,1,2......
The straight line equation with n as the independent variable and f as the dependent variable is shown here.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is Fn+1 = 6+5n ,n= 0,1,2......
The slope is 5.
The complete question is : A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown in the table. Write an explicit formula that represents the sequence using function notation. Find the slope of the line that passes through the points given in the table. The slope is
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What is 5.73 divided by 3 I know it equals 1.91 explain how you got the answer get a piece of paper put 5.73 at the top and 3 at the bottom then solve it and explain how you got your answer
The result is 1.91 and the technique used is the decimal shifting.
What is the result of the quotient of 5.73 and 3?It follows from the task content that the quotient of 5.73 and 3 is to be determined and the method of solving be explained according to the given task.
Therefore, since the given quotient is;
5.73 / 3
However, for ease of computation, the decimal in the numerator may be shifted two spaces right so that we have;
= 573 / 3. (which is a lot easier to evaluate)
= 191
However, the initial decimal shift needs to be reversed by shifting two spaces left so that we have;
= 1.91
Consequently, the quotient of 5.73 and 3 is; 1.91.
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In 1950, Town A had a population of 2000 people and the population increased by 200 people each year. In 1950, Town B had a population of 200 people and the population increased by 10% each year. Which town will eventually have the greater population? Which town had a greater population in 1990?
Hence in 1990 town a will have a population of 90518 and town B will have a population of 9051.85.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
To calculate the size of town A in 1990, multiply the current population by 2000 + (200x40) and add 40 years to account for population growth.
To work out how big town B will be in 1990
We have to use the equation 2000 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years
So 2000* 45.259 = 90518. for 2000people of A Town
And 200* 45.259 = 9051.8 for 200people of B Town
Hence in 1990 town, a will have a population of 90518 and town B will have a population of 9051.85
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Graph ABC and its image after a dilation centered at the given point using the given scale factor.
A(1, 2), B( - 1, − 1), C(2, — 1); dilation centered at point B with a scale factor of 2
The graph △ABC and its image is A′(2, 4), B′(-2, -2), C′(4, −2).
What is the coordinate rule?
Rules for the coordinate plane: (x, y) Where h and k are the horizontal and vertical shifts, respectively, we have (x ± h, y ± k).
Here, we have
The coordinate rule for dilation with k = 2 to find the coordinates of the vertices of the image.
(x, y) → (2x, 2y)
A(2, 1) → A′(2, 4)
B(4, 1) → B′(-2, -2)
C(4, −1) → C′(4, −2)
Each side length of △A′B′C′ is longer than its corresponding side by the scale factor. The corresponding sides are parallel because their slopes are the same.
Hence, after a dilation centered at the given point using the given scale factor the image is A′(2, 4), B′(-2, -2), C′(4, −2).
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Find the distance between the two points in simplest radical form.
(7,1) and (4,5)
The distance between the two points in simplest radical form is 5.
What is meant by distance between two points?The length of the line segment connecting two points in a plane is the distance between them. The formula for calculating the distance between two places is typically d=((x₂ - x₁)² + (y₂ - y₁)²). This formula is used to calculate the distance between two locations on a coordinate plane or the x-y plane.
In geometry, distances are usually positive unless the points coincide. Consider two points A(a, b) and B to obtain the formula for the distance between two points in the plane (c, d).
The linear distance between two points is equal to the square root of the sum of the squared x-axis and y-axis distances. To continue with the example, the distance between (3,2) and (7,8) is sqrt (52), or 7.21 units.
Given,
The two points are (7,1), (4,5)
Distance between two points
AB=√(x₂-x₁)²+(y₂-y₁)²
AB=√(4-7)²+(5-1)²
=√3²+4²
=√9+16
=√25
=5
Distance between two points=5
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Polynomial long divisio
Divide.
(10x³-23x² +15x-2)+(5x+1)
Your answer should give the quotient and the remainder.
Quotient:
type 2
Remainder:
X
S
The long polynomial division of the given equation is [tex]\ 2x^2-5x+4-\frac{6}{5x+1}[/tex].
What is long polynomial division?
Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.
We have,
[tex]10x^{3} -23\pi x^{2} +15x - 2[/tex] £ [tex]5x+1[/tex]
By taking long division
[tex]= \:\frac{10x^3-23x^2+15x-2}{5x+1} \[/tex]
[tex]= \quad 2x^2-5x+4-\frac{6}{5x+1}[/tex]
[tex]= \ 2x^2-5x+\frac{20x-2}{5x+1}[/tex]
[tex]= \ 2x^2-5x+4+\frac{-6}{5x+1}[/tex]
By simplifying we get,
[tex]= \ 2x^2-5x+4-\frac{6}{5x+1}[/tex]
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Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 cm^2
Calculate the size of angle x.
The measure of the angle x in the right triangle ABD is 38.06 degrees.
Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 [tex]cm^{2}[/tex]
To Calculate the size of angle x.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.
area of a triangle = 1 / 2 bh
where
b = base of triangle
h = height of triangle
Hence,
area of a triangle = 1 / 2 × 4 × h
24 = 2h
h = 24 / 2
h = 12 cm
DC = 24 - 4 = 20 cm
AC = 12 cm
tan x = opposite / adjacent
tan x = 12 / 20
x = tan ⁻¹ 0.6
x = 38.06
x = 38.06 degrees.
Hence the answer is the measure of the angle x in the right triangle ABD is 38.06 degrees.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph of the function is graph (a) and the table of values of the function f(x) = (3/4)ˣ is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
How to make the table of values of the functionFrom the question, we have the following equation that can be used in our computation:
f(x) = (3/4)ˣ
The x values on the table of values are
x = -2, -1, 0, 1 and 2
So, we replace x in the function f(x) = (3/4)ˣ with x = -2, -1, 0, 1 and 2
So, we have
f(-2) = (3/4)⁻² = 16/9
f(-1) = (3/4)⁻¹ = 4/3
f(0) = (3/4)⁰ = 1
f(1) = (3/4)¹ = 3/4
f(2) = (3/4)² = 9/16
This implies that
The table of values is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
When this is represented on a graph, it crosses the y-axis at (0, 1)
This is represented by graph (a)
Hence, the graph of the function is graph (a)
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Adam, Barry and Charlie each buy some stamps.
Adam buys x stamps.
Charlie buys 5 more stamps than Adam.
(c) Write down an expression, in terms of x , for the number of stamps Charlie buys.
Please help me i need it now
If Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
The number of stamps that Adam buys = x
The expression is the mathematical statement that consist of different variable, numbers and arithmetic operators. The arithmetic operators are addition, subtraction, division and multiplication. The expression does not contains any equal signs or inequality signs
Charlie buys 5 more stamps than Adam.
Then the expression will be
The number of stamps that Charlie buys = x + 5
Hence, if Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
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800 kenyan shillings to U.S. Dollars
(Money conversion)
Answer:
hope this helps
Step-by-step explanation:
800 Kenyan Shilling equals
6,57 United States Dollar
23 Nov, 02:01 UTC · Disclaimer
800
Kenyan Shilling
Kenyan Shilling
6.57
United States Dollar
United States Dollar
Answer:
800 Kenyan shillings = 6.57 U.S. Dollars.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
△DNS∼△ARH what is the value of x?
Answer:
Step-by-step explanation:
Where is the figure
What’s 6 x 10 (just for fun)
Answer:
Easy its answer is 60. OK
Answer:
6 x 10 = 60 / sixty
Step-by-step explanation:
There are 18 table at the venue. Total of 145 guests wil be attending the wedding. Are there enough tables?
Answer:
if there are at least 9 chairs at each table then yes
Step-by-step explanation:
this question might be something
so lets divide 145 by 18 to see how many seats at each table is required for everyone to fit
145/18
8.05555
and since we cant have 0.555 of a chair or person we round up to the nearest whole chair which is 9
hopes this helps please mark brainliest
Kayla went deep sea fishing. She cast her line 15 feet underneath the water. Which number best represents this integer?
-4.5720m is the best number to represent this integer.
What is integer?
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.
What is Fractional number?
A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.
Given that;
Kayla want deep sea fishing,
So, she cast her line = 15 feet under water
First, we change feet into meter,
1 ft = 0.3048m
so, in 15feet there is ;
15 x 0.3048 = 4.5720 m
∴ Kayla goes underneath values are consider into negative integer.
∵ the correct answer is -4.5720m under the sea
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4x-y=5 slope n y intercept
Step-by-step explanation:
4x - y = 5
You need to convert this equation to point intercept form: y = mx + b where m = slope and b = y-intercept.
4x - y = 5
subtract 4x from both sides:
4x - y - 4x = 5 - 4x
-y = 5 - 4x
divide both sides by -1:
(-y)/-1 = (5 - 4x)/-1
y = -5 + 4x
rearrange right side:
y = 4x - 5
Remembering that: y = mx + b where m = slope and b = y-intercept
slope = 4
y-intercept = -5 or (0 , -5)
your teacher asks the class to evaluate the expression (2^3)^1. your classmate gives an incorrect answer of 16. What was the likely error?
A: Your classmate divided the exponents
B. Your classmate multiplied the exponents
C. Your classmate added the exponents
D. Your classmate subtracted the exponents.
The likely error was that B. Your classmate multiplied the exponents
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, your teacher asks the class to evaluate the expression (2^3)^1. This will be:
= 2³
= 8
The fact that the person got 16 means the person multiplied it and then joined 1.
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how do i solve this? I need proper assistance
Answer:
25
Step-by-step explanation:
(33 + 2z)^2 when z = -19
substitute in -19 in place of z:
(33 + 2(-19))^2
(33 + (-38))^2
(33 -38)^2
(-5)^2
= 25
-2(v + 1) + 5v = 3(v + 1) - 2
Answer: no solution
Step-by-step explanation:
distributing we have
(-2v-2) + 5v = (3v+3)-2
which will be equal to
3v -2 = 3v + 1
subtracting 3v we have
-2 = 1 which is false so no solution
I need help now!!!!!!
Answer:
6 weeks = 42 days
Step-by-step explanation:
6 weeks = 42 days Formula: multiply the value in weeks by the conversion factor '7'. So, 6 weeks = 6 × 7 = 42 days.
