Therefore, unitary method solution is in order to have enough turf to cover the amphitheatre, the city must purchase at least 6 pallets of it.
What is unitary method ?Take the lengths of this minute subsection and split the sum by two to complete a task using a variable unitary technique. The unit technique, in a nutshell, removes a wanted item both from the specific sets and color subsets. For instance, 40 pencils will cost Rs/kg ($1.01). It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality.
Here,
A is equal to (70)2/4, which is 15,386.78 square feet.
We split the area by the area covered by each roll of turf to determine the quantity of rolls necessary to cover this area:
Rolls Equals A / Rolls' surface area
Given that the size per roll is 30 square feet, we have:
15,386.78 rolls divided by 30 equals 512.89 rolls.
Ceil(number of rolls / 100) = minimal number of pallets
the smallest number larger than or equal to x, ceil(x), is. If we replace the value we discovered with the quantity of rolls, we get:
Ceil (512.89 / 100) = Ceil (5.1289) = Minimum number of boxes = 6
Therefore, in order to have enough turf to cover the amphitheatre, the city must purchase at least 6 pallets of it.
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10. An elevator at the 25th floor went down 16 floors and then up 11 floors. How far from the 25th floor was it?
Answer:
5 floors
Step-by-step explanation:
25 - 16 +11 = 20
The elevator is now on the 20th floor. That is 5 floors away from the 25th floor.
Helping in the name of Jesus.
Are -1/3(-3m+6-12+15m) and 2(1-2m) equivalent expression?
Answer:
Yes, -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent expressions. When simplified, both expressions can be written as -5m+4. This can be verified by substituting different values for m in both expressions and then simplifying the expressions. By doing so, the same result of -5m+4 will be obtained for both expressions indicating that they are equivalent
Step-by-step explanation:
Answer: -2and^2*(2m-1)^2
Step-by-step explanation: Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "d2" was replaced by "d^2".
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
((((—•(12m-6))•a)•n)•d2)•(1-2m)
3
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
12m - 6 = 6 • (2m - 1)
Equation at the end of step
3
:
(((2•(2m-1)•a)•n)•d2)•(1-2m)
STEP
4
:
Equation at the end of step 4
((2a • (2m - 1) • n) • d2) • (1 - 2m)
STEP
5
:
Equation at the end of step 5
(2an • (2m - 1) • d2) • (1 - 2m)
STEP
6
:
Equation at the end of step 6
2and2 • (2m - 1) • (1 - 2m)
STEP
7
:
7.1 Rewrite (1-2m) as (-1) • (2m-1)
Multiplying Exponential Expressions:
7.2 Multiply (2m-1) by (2m-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (2m-1) and the exponents are :
1 , as (2m-1) is the same number as (2m-1)1
and 1 , as (2m-1) is the same number as (2m-1)1
The product is therefore, (2m-1)(1+1) = (2m-1)2
Final result :
-2and2 • (2m - 1)2
You pick a card at random
What is P(less than 3)?
Write your answer as a percentage.
Answer:
30% i think
Step-by-step explanation:
Find the number of arrangements that can be made by taking 4 letters from the letters of the word addressee.
Answer: The word "addressee" has 8 letters. To find the number of arrangements that can be made by taking 4 letters from these 8 letters, we can use the formula for combinations, which is:
n C r = n! / (r! * (n-r)!)
where n is the total number of items, r is the number of items to be selected, and ! represents the factorial function.
In this case, we want to select 4 letters from the 8 letters in "addressee", so n = 8 and r = 4. Substituting these values into the formula, we get:
8 C 4 = 8! / (4! * (8-4)!)
= (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (4 * 3 * 2 * 1)]
= 70
Therefore, there are 70 different arrangements that can be made by taking 4 letters from the letters of the word "addressee".
Step-by-step explanation:
how many terms 20 - (4 to the second power divided by 2) has
The number of terms in the expression is 2
How to determine the number of terms in the expressionFrom the question, we have the following:
20 - (4 to the second power divided by 2)
Express properly
so, we have the following representation
20 - (4^2/2)
A term is a mathematical expression that can be added or subtracted to form a larger expression.
For example, in the expression 3x + 2y - 5, each of the three parts (3x, 2y, and -5) is a term.
Using the above definition, we have the terms to be
20 and (4^2/2) i.e. 2 terms
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Which form most quickly reveals the zeros (or "roots") of the function?
All forms are equal.
1.[tex]f(x) = -3x^2+12x+15[/tex]
2.[tex]-3(x+1)(x-5)[/tex]
3. [tex]-3(x-2)^2+27[/tex]
What are the zeros?
By answering the above question, we may infer that Hence, x = -1 and x = equation 5 are the zeros of the function f(x).
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
To apply this technique, the quadratic function must be rewritten in vertex form as follows: f(x) = a(x-h)2 + k, where (h,k) is the vertex of the parabola.
The coefficient -3 from the first two terms is first removed by factoring: [tex]f(x) = -3(x^2 - 4x) + 15.[/tex]
After that, we finish the square enclosed in parenthesis by calculating (4/2)2 = 4:
[tex]F(x) = -3[(x-2)2 - 4] + 15 F(x) = -3(x-2)2 + 27 F(x) = -3[(x-2)2 - 4] + 15[/tex]
The parabola is at (2, 27), and because the squared term's coefficient is negative, the parabola widens downward. Set f(x) = 0 and solve for x to discover the zeros: [tex]0 = -3(x-2)2 + 27 3(x-2)2 = 27 (x-2)2 = 9 x-2 = 9 x = 2 3[/tex]
Hence, x = -1 and x = 5 are the zeros of the function f(x).
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You want to learn Latin salsa dancing at a fitness center. You have two options, option A is to pay a $260 registration fee plus $10 per lesson. Option B is to pay $30 for each lesson you attend. After how many lessons will the total costs of the two options be the same?
Answer:
Step-by-step explanation:
Let's call the number of lessons attended "x".
Option A: Total cost = $260 + $10x
Option B: Total cost = $30x
We want to find when the two options have the same cost:
$260 + $10x = $30x
Subtracting $10x from both sides:
$260 = $20x
Dividing both sides by $20:
x = 13
Therefore, after attending 13 lessons, the total cost for both options will be the same.
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of
cubic feet, HCF). When graphed, the function gives a line with a slope of 1.65. See the figure below.
If the monthly cost for 21 HCF is $49.58, what is the monthly cost for 24 HCF?
Monthly cost 49.58
(in dollars)
21
Water usage
(in HCF)
$0
X
5
INIC
The monthly cost for an HCF of 24 will be $39.13.
What is an expression?In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. An expression can consist of variables, constants, and operators such as addition, subtraction, multiplication, and division.
Since the monthly water bill is a linear function of the amount of water used, we can use the point-slope form of a linear equation to write an equation for the line. Let y be the monthly cost (in dollars) and x be the amount of water used (in HCF). Then the equation of the line is:
y - 49.58 = 1.65(x - 21)
Simplifying this equation, we get:
y = 1.65x - 13.57
This means that the monthly cost (y) is equal to 1.65 times the amount of water used (x) minus a constant term of $13.57.
To find the monthly cost for 24 HCF, we simply substitute x = 24 into the equation we just found:
y = 1.65(24) - 13.57
y = 39.13
Therefore, the monthly cost for 24 HCF is $39.13.
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1. A cone has surface area 360*pi in² and volume 800*pi in³. The cone is dilated, and the surface area of the dilated cone is 2,250*pi in². What
is the dilated cone's volume? Round your answer to the nearest hundredth
The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³
What is dilation?Dilation is the increase or decrease in the size of a figure.
The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.
Hence:
Scale factor² = dilated cone area / cone surface area
scale factor² = 2250π / 360π
Scale factor = 2.5
Volume of dilated cone = 2.5³ × 800π = 12500π in³
The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³
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The question is present in the image
It is the last one ...................
Which of the following sets of numbers could represent the three sides of a right triangle? O {9, 24, 26} O {37, 77,85} O {65, 72, 97} O {32, 56, 65}
From the given data, the only set of numbers that could represent the sides of a right triangle is {9, 24, 26}.
The set of numbers that could represent the three sides of a right triangle is {9, 24, 26}.
To determine if a set of numbers could represent the sides of a right triangle, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. That is,
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
For the set {9, 24, 26}, we have:
26² = 9² + 24²
676 = 81 + 576
Therefore, the set {9, 24, 26} could represent the three sides of a right triangle.
For the other sets:
{37, 77, 85}: 85² ≠ 37² + 77², so this set does not represent the sides of a right triangle.
{65, 72, 97}: 97² ≠ 65² + 72², so this set does not represent the sides of a right triangle.
{32, 56, 65}: 65² ≠ 32² + 56², so this set does not represent the sides of a right triangle.
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Juan made 13 out of 20 free throws. If Botina shoots 25 free thows, what's the minimum number she has to make in order to have a better free-throw percentage than Juan?
Answer:
16 1/4
Step-by-step explanation
THE PIC IS ATTACHED NOW PLS ANSWEE
Answer: C
Step-by-step explanation:
what is the surface area of the cone?
Can someone please tell me what 5.232 divided by 8 is
Answer: .654 not rounded
Step-by-step explanation:
5.232 divided by 8 is 0.654
O is the center of the regular octagon below. Find its area. Round to the nearest tenth if necessary.
The answer of the given question based on regular octagon ,the area of the regular octagon with center O is approximately 232.98 square units.
What is Area?Area is measure of amount of space inside 2-dimensional figure or shape, usually measured in square units like square centimeters or square meters. It is calculated by multiplying length and width of the figure or a shape.
To find the area of a regular octagon, we need to use the following formula:
A = 2(1 + √2) × s²
Since O is the center of the octagon, we can draw lines from O to each vertex of the octagon. This will divide the octagon into 8 congruent isosceles triangles.
Let's call the length of each side of the octagon "s". Then the base of each triangle will also be "s". We can use the Pythagorean theorem to find the length of the other sides of the triangle:
s²+ s² = (2s)²/2
2s² = 4s² - 4s²/2
2s² = 2s²/2
s² = s²/2
s = √2s/2
Now we can substitute this value of s into the formula for the area of the octagon:
A = 2(1 + √2) × s²
A = 2(1 + √2) × (√2s/2)²
A = 2(1 + √2) × 2s²/4
A = (1 + √2) × s²/2
A = (1 + √2) × (17/2)²/2
A ≈ 232.98 square units
Therefore, the area of the regular octagon with centre O is approximately 232.98 square units.
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Apply It 1LFAC is a straight angle and/BAD is a right angle. Find m/FAE Show your work. A B E D (2x + 10) 3x C
Answer:
20x + 6x + 2xc
Step-by-step explanation: the only thing you need to do is simply just use the distribute the 2x t every number
Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 1 black ball. Jar 2 has 2 white balls and 1 black ball. Jar 3 has 1 white ball and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/2, 1/3, and 1/6 respectively. Find the probability the ball was drawn from Jar 3, given that the ball is white.
Given that the ball is white, the probability that it was taken from Jar 3 is 1/5, or 0.2. Given that the ball is white, there is a 20% likelihood that it was selected from Jar 3.
How is probability determined?We must apply Bayes' theorem in order to determine the likelihood that the ball was taken from Jar 3 given that it is white. Let J stand for the scenario in which Jar 3 is chosen, and W for the scenario in which a white ball is drawn. Next, we have:
P(W | J) * P(J) / P = P(J | W) (W)
where P(J) is the prior probability of choosing Jar 3 (1/6), P(W) is the probability of drawing a white ball, and P(W | J) is the probability of drawing a white ball provided that Jar 3 is chosen.
We must apply the law of total probability to determine P(W):
P(W) is equal to P(W | J1) * P(J1), P(W | J2) * P(J2), and P(W | J3) * P. (J3)
where P(W | J1) represents the likelihood that a white ball will be drawn if Jar 1 is chosen (which is 1/2), P(W | J2) represents the likelihood that a white ball will be drawn if Jar 2 is chosen (which is 2/3), and P(W | J3) represents the likelihood that a white ball will be drawn if Jar 3 is chosen (which is 1/2).
Now that the values have been inputted, we can calculate:
P(W) = (1/2 * 1/2) + (2/3 * 1/3) + (1/2 * 1/6) = 5/12
P(J | W) = (1/2 * 1/6) / (5/12) = 1/5
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Find the quotient.
9.9) 80.19
Answer:
8.10
Step-by-step explanation:
You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline. You have 1.5 quarts of gas. How much oil should you add?
You should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.
What is an expression?An expression is a group of symbols and/or numbers used to represent a quantity or a mathematical relationship between two quantities in mathematics. Variables, constants, as well as operators like addition, subtraction, multiplication, and division, can all be found in an expression.
Since there are 4 quarts in a gallon, 1.5 quarts is equal to 1.5/4 = 0.375 gallons of gasoline.
To determine how much oil to add, we need to use the ratio of 2.4 fl. oz. of oil for every gallon of gasoline.
First, we need to convert the amount of gasoline we have from gallons to fluid ounces:
0.375 gallons x 128 fluid ounces per gallon = 48 fluid ounces of gasoline.
Next, we can use the ratio to find how much oil to add:
2.4 fl. oz. oil: 1 gallon gasoline
x fl. oz. oil: 48 fl. oz. gasoline
Cross-multiplying, we get:
2.4 x 48 = 1 x (x)
115.2 = x
So you should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.
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three plus thee equals. what number
Answer:6
Step-by-step explanation:
Answer:
3+3=6
Step-by-step explanation:
Solve this please. 3(-2)(5)(-1)(0)
Answer:
0.
Step-by-step explanation:
Multiplying 3, -2, 5, -1, and 0, we get:
3 x -2 x 5 x -1 x 0 = 0
So, 3(-2)(5)(-1)(0) = 0.
Answer:
Step-by-step explanation:
5x-2=-10x-1=10x3=30x0=0
0 is the very last answer
Each day Chef Mischa wants
to plans to make at least 325 meals. Some are vegetarian and some will have meat. Preparing a vegetarian meal calls costs
with meat costs $2 to make. Chef Mischa's budget is $600.
es to represent these constraints
vegetarian meals. Let y represent the number of meat meals
The constraints of the Chef's objective function are x + y ≥ 325 and
2x + 5y ≤ 600
How to make the constraints of the Chef's objective functionTo represent Chef Mischa's constraints, we can use the following variables
x = Number of vegetarian meals
y = Number of meat meals
Using the above variable definitions and the problem statement, we have the following constraints of linear inequalities:
x + y ≥ 325 (Chef Mischa wants to make at least 325 meals)
2x + 5y ≤ 600 (Chef Mischa's budget is $600)
The above are the constraints
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4.
Which problem situation matches this equation?
74.80 = 8 x
Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.
The cost of a video game is $74.80. Find x, the amount Josh needs to buy the game if he had $8.00.
Eight friends spent $74.80 each to pay for a camping trip. Find x, the total amount they paid.
Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.
Answer:
Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.
Step-by-step explanation:
The yearly growth of a new population of gnats can be modeled by the equation G(t) = 500(1.182)t, where G(t) is the number of gnats, t is the time in years, and 500 is the starting population. Write an equivalent equation using the weekly growth factor. What is the weekly growth rate of these gnats?
The weekly growth rate of these gnats is approximately 1.38%.
What is continuous growth rate?With discrete growth, we may observe change taking place following a particular event. We receive fresh options when we flip a coin. We pay interest once a year. After a successful mating season, young are produced. Change occurs continuously in an economy that is growing. We are unable to remark, "It changed here," in reference to an occurrence. The pattern is always changing (radioactive decay, a bacteria colony, or perfectly compounded interest).
Given that,
G(t) = 500(1.182)t
Using the growth function for 52 weeks = 1 year we have:
= 500(1 + r)⁵²ˣ
where r is the weekly growth rate.
To find the weekly growth rate, we can first rewrite the equation as:
1 + r = (1.182)⁽¹⁾⁵²
1 + r = 1.0138
r = 0.0138
The equivalent equation using the weekly growth factor is:
G(t) = 500(1.0138)⁵²ˣ
The weekly growth rate of these gnats is approximately 1.38%
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Review
Directions: Identify the type of each of the following triangles based on the sides.
Answer:
• Triangle A: Side lengths of 5, 3, and 4. This is an acute triangle, as all three angle measurements are less than 90°.
• Triangle B: Side lengths of 12, 7, and 15. This is an obtuse triangle, as one angle measurement is greater than 90°.
• Triangle C: Side lengths of 8, 8, and 8. This is an equilateral triangle, as all three sides and all three angle measurements are equal
Step-by-step explanation:
Salma and her children went into a bakery and will buy cupcakes and brownies. She must buy no less than 15 cupcakes and brownies altogether.
Write an inequality that would represent the possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b.
The inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:
(c+b) ≥ 15
What is meant by inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.
It is given that the least number of cupcakes and brownies that Salma should buy is 15.
Let the number of cupcakes purchased be c and the number of brownies purchased, b.
Then the total number of cupcakes and brownies is c + b
This sum should be greater than or equal to 15.
Then the inequality is (c+b) ≥ 15
Therefore the inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:
(c+b) ≥ 15
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pls show work i’m struggling
Answer:
Step-by-step explanation:
The Pythagorean Theorem states that: a^2+b^2=c^2.
Therefore 6^2+8^2= c^2
36+64= 100^2
Then square root that. The square root of 100 is 10.
The length of XY is 6. The length of XZ is 10. The difference is 4 units
This scale drawing shows a enlargement in a figure.
What is the value of the missing side, x?
x= 10
x=18
x = 24
x=30
Answer:x=18
Step-by-step explanation:
12/x=16/24
12/x=2/3
x=12*2/3
x=18
Find the volume of a right circular cone that has a height of 15.2 m and a base with a radius of 16.2 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex]\boxed{\mathrm \quad {4177.4 \: cm^3}\quad }[/tex]
Step-by-step explanation:
Volume of a right circular cone with radius r and height =is given by the formula
[tex]V = \dfrac{1}{3} \pi r^2 h\\\\\text {We are given}\\\\r = 16.2 \;cm\\h = 15.2\;cm\\\\V = \dfrac{1}{3} \times \pi \times (16.2)^2 \times 15.2\\\\= \dfrac{1}{3} \times \pi \times 262.44 \times 15.2\\\\= 1329.696 \pi cm^3\\\\= 4177.36318 \;cm^3\\\\= 4177.4 \;cm^3 \text{ when rounded to the nearest tenth}[/tex]