how many times does 28 go into 126

Answer:

I took the test its 1

Step-by-step explanation:

To solve the equation, firstly subtract 7 from both sides, converting the equation into -2b = -20. Then divide both sides by -2 to find the value of b, which is 10.

To use the properties of equality to solve the given equation, -2b + 7 = -13, follow these steps:

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Both B & E; They are both using -225 which represents debt

The expression that shows the given statement will be equal to -225(3). Hence, options B and E are correct.

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 given information in the question,

Gena's food cart business last year = $225 in debt = -225

The dept has tripled this year.

Then, the equation according to the statement will be,

(-225) × 3

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The expected winnings for this game is calculated by multiplying the value of each possible outcome by their probability, providing an overall expected value of $1.33. This indicates that over a long period of repeated games, the average winnings per game would be $1.33.

In this question, we're dealing with calculating the expected value in a game of probability. The game involves rolling a dice with outcomes ranging from 1 to 6 and the associated payoffs for roll outcomes of 4, 5, and 6 are $1, $2, and $5 respectively.

We calculate the expected winnings (value) for a single round of the game by multiplying all possible outcomes by their respective probabilities, then summing these products. In this case, symbols represent the payout (in $) and P represents the probability of each outcome.

Adding up these expected outcomes gives us our overall expected winnings: $0.83 + $0.33 + $0.17 + $0.00 = $1.33 per game

If you play this game repeatedly, over the long term, you'd expect to win around $1.33 on average each game. Note that the exact winnings in a single instance of the game could be $0, $1, $2, or $5, and this value simply provides an average expected outcome over time.

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Answer:

This is a square inscribed in a circle.

Step-by-step explanation:

Answer:

1. 30%

2.46%

Step-by-step explanation:

The probability of Kayla not drawing a yellow or a green bead is  30 %. The probability of Kayla drawing a red or a green bead is  46 %.

Correct for plato! :)

Answer:

Area function : [tex]A(x)=12x-x^2[/tex]

Domain: (0,6)

The area of rectangle is maximum at x=6. The area of a rectangle is maximum if it is a square.

Step-by-step explanation:

It is given that the length of wire is 24 inches. It is to be cut into four pieces to form a rectangle.

Let x be the length of shortest side.

Perimeter of a rectangle is

Perimeter = 2( Shortest side + longest side).

[tex]24 = 2( x + \text{longest side})[/tex]

[tex]12 = x + \text{longest side}[/tex]

[tex]12 - x = \text{longest side}[/tex]

So, length of longest side is (12-x) inches.

Area of a rectangle is

[tex]A=length \times width[/tex]

Area function is

[tex]A(x)=x(12-x)[/tex]

The area of rectangle and dimensions of a rectangle can not be a negative.

[tex]A(x)>0[/tex]

[tex]x(12-x)>0[/tex]

It means,

[tex]x>0[/tex]

[tex]12-x>0\Rightarrow 12>x[/tex]

One side is less that the other side.

[tex]x<12-x[/tex]

[tex]2x<12[/tex]

[tex]x<6[/tex]

It means the domain of the function is (0,6).

The simplified form of the area function is

[tex]A(x)=12x-x^2[/tex]

Differentiate with respect to x.

[tex]A'(x)=12-2x[/tex]

[tex]A'(x)=0[/tex]

[tex]12-2x=0[/tex]

[tex]x=6[/tex]

Differentiate A'(x) with respect to x.

[tex]A''(x)=-2<0[/tex]

Therefore the area of rectangle is maximum at x=6.

[tex](12-x)=12-6=6[/tex]

It means the area of a rectangle is maximum if it is a square.

Final answer:

The expected value of the game to the player is $3.68. If played 1000 times, the player would expect to lose $320.

Explanation:

Expected value for the game:

Expected Loss in 1000 Games:

Therefore, you can expect to lose an average of $210.50 if you play this game 1000 times.

The population density for a country with a population of 307.5 million and an area of 3.79 million square miles is approximately 81.14 people per square mile. This figure is calculated by dividing the population by the area and is rounded to the nearest hundredth.

To calculate the population density of a country for 2009, when the population was reported to be 307.5 million and the total area was 3.79 million square miles, you must divide the population by the total area. The formula for population density is:

Population Density = Population / Area

In this case, the calculation would be:

Population Density = 307,500,000 people / 3,790,000 square miles

When you do the math, you get:

Population Density ≈ 81.14 people per square mile

This result has been rounded to the nearest hundredth as requested. Comparing this with other countries' population densities, such as those of South Asian countries, can provide a remarkable insight into how population distribution and globalization impact living conditions and resource availability.

The population density of a country with a population of more than 307.5 million and an area of 3.79 million square miles, in 2009, was approximately 81.14 people per square mile after rounding to the nearest hundredth.

To calculate the population density of a country for the year 2009 when the population was more than 307.5 million and the total area was 3.79 million square miles, we use the following formula:

Population Density = Population / Area

Now, let's substitute the given values:

Population Density = 307.5 million people / 3.79 million square miles

To proceed with the calculation, we need to convert the population into a number without the word 'million' since 'million' is also part of the area's units. Therefore, 307.5 million people become 307,500,000 people and 3.79 million square miles become 3,790,000 square miles.

Population Density = 307,500,000 people / 3,790,000 square miles

After doing the division, we get:

Population Density ≈ 81.14 people per square mile (rounded to the nearest hundredth)

Therefore, the population density for that country in 2009 was approximately 81.14 people per square mile.

Answer:

two side measures are the same

all angle measures less than 90°

two angle measures are the same

Step-by-step explanation:

The three true statements about an acute isosceles triangle are:

- Two side measures are the same:

- All angle measures are less than 90°:

- Two angle measures are the same:

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

About an acute isosceles triangle are:

- Two side measures are the same:

In an isosceles triangle, two sides have the same length.

In an acute isosceles triangle, all angles are acute, which means they are less than 90°.

Therefore, the two sides that are the same length must be the two sides opposite the acute angles.

- All angle measures are less than 90°:

An acute triangle is a triangle in which all angles are less than 90°.

Since an acute isosceles triangle has two equal acute angles, all three angles in the triangle are less than 90°.

- Two angle measures are the same:

An isosceles triangle is a triangle in which two sides have the same length. In an acute isosceles triangle, the two sides that have the same length are opposite the two equal acute angles.

Therefore, the two angles opposite those sides must also have the same measure.

Thus,

The three true statements about an acute isosceles triangle are:

- Two side measures are the same:

- All angle measures are less than 90°:

- Two angle measures are the same:

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Final answer:

Linear angle pairs are always supplementary and formed by intersecting lines, while supplementary angles can be any two angles that add up to 180 degrees.

Explanation:

In mathematics, linear angle pairs are formed by two adjacent angles that add up to 180 degrees. This is known as supplementary angles. Linear angle pairs always occur when two lines intersect, creating opposite angles or a straight angle, such as in the case of a triangle.

On the other hand, supplementary angles do not have to be linear pairs. Supplementary angles are any two angles that add up to 180 degrees, regardless of their position or relation to each other. They can be adjacent angles, non-adjacent angles, or angles across parallel lines.

For example, two angles measuring 60 degrees and 120 degrees are supplementary angles but not a linear pair, since they are not adjacent to each other or formed by intersecting lines.

The interest earned on a deposit of $1,295 at a 7% annual rate for 180 days is approximately $44.70.

To compute the amount of interest earned we can use the simple interest formula:

Interest = Principal × Rate × Time

Since simple interest does not complicate by itself, and the time is less than a year, we'll adjust the time and rate accordingly.

First, we express the annual interest rate as a decimal by dividing the percentage by 100:

Rate = 7% / 100 = 0.07

Next, we convert the time period of 180 days into years, considering there are 365 days in a year:

Time = 180 days / 365 days/year = 0.49315 years (approximately)

Now, let's plug the values into the simple interest formula:

Interest = $1,295 × 0.07 × 0.49315

Calculating the interest:

Interest = $44.70

Answer:

A = { 3/2 π - 9/4 √ 3 } in^2

Step-by-step explanation:

Hope it helps, sorry for answering late.

The average rate of change of the given function will be 72.

It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

The given function is f(x)=2(3)ˣ and the interval is x ∈ [2,4].

The formula to calculate the average rate of change is (f(b)-f(a))/(b-a).

Here, a = 2 and b = 4

So,f (2) = 2.3² = 18

Now,f (4) = 2.3⁴ = 162

The average rate of change = (162 - 18)/(4 - 2)

The average rate of change = 144/2

The average rate of change = 72

Therefore, the average rate of change of the given function will be 72.

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The average rate of change of the function f(x) = 2(3)ˣ from x = 2 to x = 4 is 72. This means the secant line that intersects the graph of the function at x = 2 and x = 4 has a slope of 72.

Step 1: Formula for Average Rate of Change

The average rate of change of a function f(x) over the interval [a, b] is calculated using the following formula:

Average rate of change = (f(b) - f(a)) / (b - a)

where:

Step 2: Find f(b) and f(a)

We are given the function f(x) = 2(3)ˣ . Let's find the function's values at x = 4 (upper bound) and x = 2 (lower bound):

Step 3: Calculate the Average Rate of Change

Now that we have f(b) and f(a), we can plug them into the formula along with the interval's bounds:

Answer:

3925

Step-by-step explanation:

this  arithmetic  sequence  the first term is : A1 = 3(1)+2=5

and common difference is  r = 3

the sum of the first 50 terms  is : S50 = 50/2(A1  + A50)

A50 = 3(50)+2 = 152

S50 = 50/2(5  + 152)= 3925

Answer:

Hence the values of a and b are given by:

a=240

and b=1.16.

Step-by-step explanation:

It is given that:

A population of 240 birds increases at a rate of 16% annually.

i.e. the initial population of birds is 240.

Also they are increasing at a rate of 16% =0.16.

Hence, it clearly implies that the growth is exponential and the function that represents the population of the birds after x years is given by:

[tex]f(x)=240\times (1+0.16)^x\\\\\\f(x)=240\times (1.16)^x[/tex]

Hence, on comparing our function with the exponential function:

[tex]f(x)=ab^x[/tex]

we have:

a=240

and b=1.16.