What is 55/99 Rounded to the nearest half

The inequality for the  the price, p jasmine could charge for each cupcake is; 60p + 30 ≥ 90

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

WE have been given that Jasmine spent 30 dollars on supplies to make 60 cupcakes for a bake sale. she wants to have a profit of more than 90$.

Let the price,p jasmine could charge for each cupcake.

Then the price for 60 cupcakes for a bake sale = 60p

Therefore, the inequality for the given condition would be;

60p + 30 ≥ 90

Hence, The inequality for the  the price, p jasmine could charge for each cupcake is; 60p + 30 ≥ 90

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Answer:

100

Step-by-step explanation:

If 4 Cups = 50Lbs, then there will be 200 cups in 40Lbs.

Then if it takes 2 cups of flour to make a cake, 200 / 2 = 100.

The answer is (NOT LISTED): 100

The measure of each exterior angles of rectangle is 90°

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

Step-by-step explanation:

\(3y=2x+15 \: \)

\(y = \frac{2x + 15}{3} \)

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(3 y = 2 x + 15\)

The equation is in standard form. So now, divide both sides by 3.

\(\frac{3y}{3}=\frac{2x+15}{3} \\ \)

Dividing by 3 undoes the multiplication by 3.

\(y=\frac{2x+15}{3} \\ \)

Divide 2x + 15 by 3.

\( \huge \boxed{ \boxed{\bf \: y=\frac{2x}{3}+5 }}\)

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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We know that the volume of a cube is one of the sides raise to the third power.

In this case, we have that we need to raise, both, 3 and 5 to the third power to obtain the volume in cubic centimeters. Then, we have:

For s = 3:

For s = 5:

Then, to find the surface area, we know that the area of one side of the cube is the side to the second power. Since the cube has 6 sides, then, we need to multiply this side by 6. Thus:

That is the given value: 54 cm^2.

The other side is:

Therefore, the answers are:

For the first row:

27 cm^3, 54 cm^2.

Second row:

125 cm^3, 150 cm^2.

Answer: A. myNumber = randomNumbers.nextInt(10) + 1; the expression to generate a random number in the range of 1 through 10 is myNumber = randomNumbers.nextInt(10) + 1;

Step-by-step explanation:

How can we generate a random number in the range of 5 through 15 using the nextInt(int n) method?

We can use the formula:

randomNumbers.nextInt(n) + min

Where n is the number of possible values (in this case, 11), and min is the minimum value in the range (in this case, 5). Therefore, the expression to generate a random number in the range of 5 through 15 is:

myNumber = randomNumbers.nextInt(11) + 5;

The method nextInt(int n) in the Random class generates a random integer in the range of 0 (inclusive) to n (exclusive). Therefore, to generate a random number in the range of 1 through 10, we need to use the formula:

Random Numbers.nextInt(n) + min

Where n is the number of possible values (in this case, 10), and min is the minimum value in the range (in this case, 1). This formula ensures that the generated random number will be in the desired range.

Therefore, the correct expression to generate a random number in the range of 1 through 10 is:

myNumber = randomNumbers.nextInt(10) + 1;

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The random number myNumber = randomNumbers.nextInt(10) + 1; is the correct option.

What is random number?

Random numbers are numbers that are generated randomly. They are often used in statistical analysis and simulations. Random numbers can be generated by a variety of methods, including mathematical algorithms, hardware-based random number generators, and software-based random number generators. Random numbers are typically used in Monte Carlo simulations and other forms of analysis where a statistically random sample is needed. Random numbers can also be used in games and gambling, as well as cryptography and security.

nextInt(10) will generate a random number between 0 and 9. Adding 1 will ensure the number is between 1 and 10.

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Answer:

r = 6

Step-by-step explanation:

(12-r) / ((-3-(-1)) = -3/1

\(\frac{12-r}{-2}\) = -3

cross-multiply:  

12 - r = 6

subtract 12 from each side:

-r = -6

divide each side by -1:

r = 6

Answer:

BC = 24 (D)

Step-by-step explanation:

Special Right Triangles (30-60-90 triangle)

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

do 4x3, than add the 5 on top of that 4x3

Step-by-step explanation:

Answer:

A and C are true

Step-by-step explanation:

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

the two possible amounts of change are £3.01 and 39p.

Step-by-step explanation:

Let's start by finding the possible prices for the pie after the 24% tip has been added. We know that the total price must be an exact number of pence, which means that the price before the tip must have been a multiple of 25 (since there are 100 pence in a pound).

The possible prices before the tip, between £1.30 and £2.99, are:

£1.30 = 130p

£1.31 = 131p

...

£2.98 = 298p

£2.99 = 299p

To find the prices after the 24% tip, we multiply each of these values by 1.24:

130p * 1.24 = 161.2p = £1.612 = £1.61 (rounded to 2 decimal places)

131p * 1.24 = 162.44p = £1.6244 = £1.62

...

298p * 1.24 = 369.52p = £3.6952 = £3.70

299p * 1.24 = 370.76p = £3.7076 = £3.71

So the possible prices for the pie after the 24% tip are between £1.61 and £3.71.

Next, we need to find the possible amounts of change that would result from paying with a £5 note and receiving the fewest possible coins. We can do this by subtracting the total cost of the pie from £5 and seeing which combinations of coins add up to that amount.

Let's start with the lowest possible price for the pie, £1.61. If we add 24% to that, the total cost is £1.99 (rounded to 2 decimal places), which means our change is £3.01. The fewest possible coins we could receive for that amount are:

£2 coin

£1 coin

1p coin

So the first possible combination of change is:

£2 + £1 + 1p = £3.01

Now let's try the highest possible price for the pie, £3.71. If we add 24% to that, the total cost is £4.61, which means our change is 39p. The fewest possible coins we could receive for that amount are:

20p coin

10p coin

5p coin

2p coin

2p coin

So the second possible combination of change is:

20p + 10p + 5p + 2p + 2p = 39p

Therefore, the two possible amounts of change are £3.01 and 39p.

Answer:

b . all of the other ones look the same and that one is the different one

Answer:

B

Step-by-step explanation:

A proportional relationship graph should be a straight line, no curves.

Answer:

Hope this helps you understand

Step-by-step explanation:

-2m-6=-6m+8

Add 6 on both sides

-2m=-6m+14

subtract 14 from both sides.

-2m -14=-6m

Add 2m on both sides

-14=-6m

Do the rest on your own

The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of dog treats in the shop = 6157

Number of treats per bag = 7

Extra treats will be given to the groomer.

Then, the number of bags will be,

6157/7 = 879.57

This means that a total of 879 bags are there, with 7 pieces of treats per bag.

So, the total number of treats in 879 bags will be,

879 × 7 = 6153

So, the amount of treats left for the groomer is,

6157 - 6153 = 4 treats.

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The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

We're given:

These pieces of information are ratios. We can write them in the following format:

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}\) and \(\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by \(\dfrac{2}2\):

\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Yes, there is a proportional relationship.

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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The example of negative exponent in the real world is the world's smallest bat, the bumblebee bat weighs of 7 × 10^-2 ounces

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite.

The multiplicative inverse of the base raised to a power with the opposite sign of the provided power is referred to as a negative exponent. In plain English, we write the number's reciprocal and solve it just like positive exponents. The bat has a negative exponent.

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Answer:

c )  y = –1∕4 (x – 3)2 + 2

Step-by-step explanation:

Answer:

directrix is; y= {-5}

Step-by-step explanation:

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

7

Step-by-step explanation:

(a^3 - b^3) / 5

Let a=2 and b = -3

Do the exponents inside the parentheses

(2^3 -  (-3)^3) / 5

Then add

(8 - (-27))/5

Subtracting a negative is like adding

(8+27)/5

( 35)/5

7

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

If 58% = 58÷100 of the people have been vaccinated, then;

1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.

Now:

Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;

P( > 1 ) = 1 - P(0)                 -----------(1)

Where;

P(0) = probability that all of the four have not been vaccinated.

P(0) = P(1) x P(2) x P(3) x P(4)×p(5)

Where;

P(1) = Probability that the first out of the four has not been vaccinated

P(2) = Probability that the second out of the four has not been vaccinated

P(3) = Probability that the third out of the four has not been vaccinated

P(4) = Probability that the fourth out of the four has not been vaccinated

P(5)=Probability that the fifth out of the five has not been vaccinated

Remember that 42÷100 of the population has not been vaccinated. Therefore,

P(1) = 42÷100    

P(2) = 42÷100

P(3) = 42÷100

P(4) = 42÷100

P(5)=42÷100

P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)

P(0) = (42÷100)⁵

P(0) = (0.42)⁵

P(0) = 0.013067

Therefore, from equation (1);

P( > 1 ) = 1 -0.013067

P( > 1 ) = 0.98693

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

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Answer:

7 5/6

Step-by-step explanation:

1 1/2= 1 3/6

6 1/3= 6 2/6

 1 3/6

+6 2/6

————-

7 5/6

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

The Area of the shaded region is 20.86 in²

The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.

We know,
Area of Rectangle = l × w,      where l = length and w = width
Area of Circle = \(\pi r^{2}\),                where r = radius.

find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²

Here given the circle radius is 1 inch, and we use π as 3.14

Area of Circle = \(\pi r^{2}\)
Area of Circle = 3.14 × 1² = 3.14 in²  

The area of the shaded region as per figure below is:

Area of the shaded region = Area of Rectangle - Area of Circle

Area of the shaded region = 24 - 3.14 = 20.86 in²

Therefore, the answer is D.  20.86 square inches.

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