if S is 150% of T, then T is what percent of S+T​

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]

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

Answer:

8.10

Step-by-step explanation:

The constraints of the Chef's objective function are x + y ≥ 325 and

2x + 5y ≤ 600

To 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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It is the last one ...................

Answer:6

Step-by-step explanation:

Answer:

3+3=6

Step-by-step explanation:

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

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

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:

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

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.

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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Answer: .654 not rounded

Step-by-step explanation:

5.232 divided by 8 is 0.654

Answer:

30% i think

Step-by-step explanation:

You should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.

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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The number of terms in the expression is 2

From 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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Answer: C

Step-by-step explanation:

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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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.

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:

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:

Answer:

16 1/4

Step-by-step explanation

The weekly growth rate of these gnats is approximately 1.38%.

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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The monthly cost for an HCF of 24 will be $39.13.

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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The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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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By answering the above question, we may infer that Hence, x = -1 and x = equation  5 are the zeros of the function f(x).

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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The inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:

             (c+b) ≥ 15

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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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.

Answer:x=18

Step-by-step explanation:

12/x=16/24

12/x=2/3

x=12*2/3

x=18

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.

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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