Reflect (-3, -2) over the y-axis.
Then translate the result to the left 1 unit.

The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.

5/8 - 3/8 = x

5/8 = 5 ÷ 8

= 0.625

3/8 = 3 ÷ 8

= 0.375

0.625 - 0.375 = x

= 0.25

Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.

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The complete question is

Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?

power of ten

Step-by-step explanation:

The number of chairs from number 27 to 66 in a row at an auditorium is calculated by using subtraction is 40.

To calculate the number of chairs in the row, we need to subtract the chair number of the first chair from the chair number of the last chair and add 1.

Number of chairs = (last chair number - first chair number) + 1

The first chair number is given as 27, and the last chair number is given as 66.

Substituting these values in the formula, we get:

Number of chairs = (66 - 27) + 1

Number of chairs = 40

Therefore, there are 40 chairs in the row, and the correct answer is option (3) 40.

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____ The given question is incorrect, the correct question is given below:

There are chairs from no, 27 to 66 in a row at an Auditorium. Then

how many chairs are there in the row ?

(1) 38

(2) 39

(3) 40

(4) 48

Answer:

x=10

Step-by-step explanation:

First, add 5 to both sides of the equation, getting rid of the -5 on the left side but still making them equal.

5x=3x+20

Then, do the same with 3x, Subtract from both sides.

2x=20

Lastly, Divide both sides by 2 and you'll get your answer

x=10

Answer:

[tex] \sf \: x = 10[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 5x - 5 = 3x + 15

Then the value of x will be,

→ 5x - 5 = 3x + 15

→ 5x - 3x = 15 + 5

→ 2x = 20

→ x = 20 ÷ 2

→ [ x = 10 ]

Hence, the value of x is 10.

Answer: Is only definable if you can show the table but according to a valid explanation it would be most likely 41

Step-by-step explanation:

Lets say Bob has 17 strawberry, 19 Cola, and 4 blueberry, we can infer there is an equal amount of gumballs of each flavor in the machine; Before bob bought any gumballs there were 180 and if there were only 3 flavors we would divide 180 by 3 and get 60. That means each flavor has 60 of its own flavor and if we take 19 from the 60 cola flavored we can get 41.

In stabilizing selection, option (d) The intermediate phenotype becomes rare.

Stabilizing selection occurs when individuals with extreme phenotypes are at a disadvantage, and individuals with intermediate phenotypes have a greater chance of survival and reproduction.

This means that over time, the population shifts towards the intermediate phenotype. Let's take an example to explain this concept.

Suppose we have a population of rabbits with different fur colors, ranging from white to dark brown. Predators are more likely to spot white rabbits in a snowy environment, while brown rabbits are more likely to be seen in a forest environment. This means that the extreme phenotypes (white and dark brown) are at a disadvantage, while the intermediate phenotype (light brown) is more likely to survive and reproduce. Over time, the population will shift towards the light brown phenotype, as it is the most advantageous trait.

In conclusion, stabilizing selection is a mechanism of natural selection that promotes the preservation of the average characteristics of a population. It occurs when individuals with intermediate phenotypes have a higher chance of survival and reproduction, leading to the shift of the population towards the intermediate phenotype. Mathematically, we can represent this concept using the mean and standard deviation of a population.

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Answer:

About 54 geckos

Answer:

19 miles

Step-by-step explanation:

hope this helps!!

The obtuse angle such that has the same sine as -275° is θ = 95°

We want to find an obtuse angle (with a measure larger than 90°) in the range 0 ≤ θ ≤ 2π (or 0 < θ < 360°, after that we can change the units from degrees to radians) such that sin(θ) = sin(-275°)

First, remember that the sine function has a periodicity of 360°, then:

sin(-275°) = sin(-275° + 360°) = sin(85°)

Now we know that the sine function is symmetric around x = 90°

Then:

sin(90° + x) = sin(90° - x)

if we take x = 5° we will get:

sin(90° + 5°) = sin(90° - 5°)

sin(95°) = sin(85°) = sin(-275°)

Thus we can conclude that θ = 95°

That is the obtuse angle.

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The area of the walkway of the garden is  8x - 15 square units.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The area of the garden is 2(3.5x + 2.5) and the combined area of the garden and the walkway is 2.5(6x + 4).

Therefore, The area of the walkway is,

= 2.5(6x + 4) - 2(3.5x + 2.5).

= 15x - 10 - 7x - 5.

= 15x - 7x - 10 - 5.

= 8x - 15 square units.

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The value of the house when it was purchased was $150,000, before the 38% discount was applied.

A discount is a reduction in price or value, typically given as an incentive to purchase or to compensate for a decline in value.

In this case, we know that the house has decreased in value by 38% since it was purchased. This means that the current value is only 62% of its original value (100% - 38% = 62%).

Now, we can use a proportion to determine the original value of the house. We can set up the equation:

Current value / Original value = 62% / 100%

Substituting the given values, we get:

$93,000 / Original value = 62 / 100

To solve for the original value, we can cross-multiply and simplify:

100 x $93,000 = 62 x Original value

$9,300,000 = 62 x Original value

Dividing both sides by 62, we get:

Original value = $150,000

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Answer:

what system of equations? and ben is a bad name, try and come up with another one

Step-by-step explanation:

The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches is approximately 34.4 inches, found using the Pythagorean theorem.

The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches can be calculated using the Pythagorean theorem, which states that the square of the sum of the squares of the lengths of the legs determines the length of the hypotenuse.

So, if we call the length of the hypotenuse "h", we have [tex]h^{2}[/tex] = [tex]20^2 + 28^2[/tex]

Solving for h:

[tex]h^2 = 20^2 + 28^2[/tex]

[tex]h^2[/tex] = 400 + 784

[tex]h^2[/tex] = 1184

h = [tex]\sqrt{1184}[/tex]

h ≈ 34.4 in.

So, the length of the hypotenuse is approximately 34.4 inches, rounded to the nearest tenth.

The Pythagorean theorem is a fundamental mathematical relationship that states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal tothe squared lengths of the two legs added together. In this case, the two legs have lengths of 20 inches and 28 inches, and the length of the hypotenuse can be found by solving for the square root of the total of the leg squares.

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A polynomial term is an expression composed of constants, variables, and exponents.

A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.

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Todd has done correct calculation its values is equal to 6.79, which is closer to 7.

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number on the top side, it indicates the number of equal parts taken or whole quantity and denominator is on the bottom side, it indicates the equal parts of the whole quantity.

Given that,

Two fraction numbers in the form of addition,

⇒ 3 7/8 + 2 11/12

It can be further solved as

⇒  (24 + 7)/8 + (24 +11)/12

⇒  31/8 + 35/12

Now taking LCM of (8, 12)

LCM(8, 12) = 24

making denominator same in the both terms

⇒ 93/24 + 70/24

⇒ 163/24

⇒ 6.79

Thus, the values is closer to 7

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Answer: (a) To find the position vector of point D, we need to find the midpoint of the line segment AB. We can do this by taking the average of the position vectors of points A and B:

D = (A + B) / 2 = ((2i + 3j - 4k) + (4i - 2j + 3k)) / 2 = (3i + 0.5j - 0.5k)

So, the position vector of point D is (3i + 0.5j - 0.5k).

(b) To find the value of a, we use the fact that the distance between points A and C is 4. We can find the distance between two points by finding the magnitude of the difference between their position vectors. The position vector of point C is (ai + 5j – 2k), so the difference between the position vectors of points A and C is (ai + 5j – 2k) - (2i + 3j - 4k) = (a-2)i + 2j - (-2k).

The magnitude of this difference is given by:

|(ai + 5j - 2k) - (2i + 3j - 4k)| = √((a-2)^2 + 2^2 + 2^2) = 4

So, we have:

√((a-2)^2 + 2^2 + 2^2) = 4

(a-2)^2 + 2^2 + 2^2 = 16

(a-2)^2 = 16 - 4 - 4

(a-2)^2 = 8

a-2 = ±2√2

Since a < 0, we have:

a = 2 - 2√2

So, the value of a is 2 - 2√2.

Step-by-step explanation:

It will take 50 seconds for the person to travel from one end to the other at the current speed.

We know that the person travels 28 feet in 7 seconds, remember that speed is defined as the quotient between distance and time, then the person's speed is:

s = 28ft/7s = 4ft/s

Now we want to find the time T that it takes for the person to travel the 200 feet of the sidewalk, then we need to solve:

(4ft/s)*T = 200ft

T= 200ft/(4 ft/s) = 50s

It takes 50 seconds.

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The value of z   is -1.09.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.

Given: P(Z<z)=0.14

To find the value of z such that 0.14 of the area lies to the left of z.

We will use z-score table to get the value of z here.

IN z-score table, we have

For P(Z<-1.09)=0.14

Hence, the value of z is -1.09.

Its approximate value is -1.09

So the final answer is z=-1.09.

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Answer:

The correct answer is C. Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180° Reason: definition of supplementary angles.

This statement uses the definition of supplementary angles, which states that two angles are supplementary if their measures add up to 180 degrees. Since ∠3 and ∠6 are corresponding angles, and ∠4 and ∠5 are also corresponding angles, their measures must add up to 180 degrees in order for the parallel lines to be cut by the transversal.

Answer:

Option, D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem

Step-by-step explanation:

In this question that you have put:

7 ≅ ∠6 and ∠8 ≅ ∠5 Reason =

Vertical Angles Theorem ( Or in similar terms VAT )

Make sure that you remember the following:

vertical angles are the angles that are opposite each other when the two line " meet together "

Thus, your answer to your questions is.

D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem

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The consecutive even integers are 4,6 and 8.

An even number is a number that can be perfectly divided by 2. An example of an even number is 10. A consecutive even number is an even number that follows each other on the number line.

Let the first even number be represented with x

The second even number : x + 2

The third even number : x + 4

x + 2(x + 4) = 20

x + 2x + 8 = 20

3x = 20 - 8

3x = 12

x = 12 / 3

x = 4

The second even number : 4 + 2 = 6

The third even number : 4 + 4 = 8

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Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.

However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.

Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.

So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.

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The expected value of the policy for the insurance company: $359.38

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The expected value of the policy for the insurance company can be calculated as follows:

Expected value = (Probability of survival) x (Annual payment)

= 0.999057 x $360

= $359.38

So, the expected value of the policy for the insurance company is $359.38.

It's important to note that this is just an estimate based on statistical probabilities and does not guarantee the outcome. The actual value could be higher or lower than this estimate, depending on the actual lifespan of the policyholder.

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The area of the given triangle is 28 squared feet

The area of a triangle is a measure of the amount of space enclosed by the triangle. It is a scalar quantity, meaning that it is a single numerical value with no direction.

The area of a triangle can be calculated using various formulas, depending on the information available about the triangle.

In this problem, we have the value of base and the height of the triangle.

The formula is given as;

A = 1/2 b * h

Substituting the values into the formula;

A = 0.5 * 7 * 8

A = 28 squared feet

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Answer:

69 meters

Step-by-step explanation:

Answer: A, B, F

Step-by-step explanation:

For convenience sake, let's establish early on that 1/2 is equal to 0.5 or 50% in their decimal and percentage forms respectively.

- A as a decimal is 0.25, which is not only smaller than 1/2, but it is exactly half of the value, so A works.

- B is also smaller than the decimal of 0.5, therefore it counts.

- 3/5 as a decimal is 0.5, which is greater, so doesn't count.

- 67% is bigger than 50%, so doesn't count.

- 0.74 is bigger than 0.5, so doesn't count.

- 40% is smaller than 50%, so it counts.

Answer:

A, B, and F

Step-by-step explanation:

A. 1/4 = 25%

B. .26 = 26%

F. 40%