4 Amanda and Blake played a board game. In the game, Amanda had
$2,740 in play money and Blake had $3,560. Amanda had to give some
money Amanda had. How much play money did Blake have in the end?

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

  (41, 43, 45)

Step-by-step explanation:

You want three consecutive odd integers such that the sum of the first and third is 43 more than the second.

Let n represent the middle (second) of the integers. Then the first is (n-2) and the third is (n+2). The given relation can be written as the equation ...

  (n -2) +(n +2) = n +43

Simplifying gives ...

  2n = n +43

  n = 43

  n-2 = 41

  n+2 = 45

The three integers are (41, 43, 45).

__

Additional comment

When working consecutive integer problems, it often works well to let a variable represent the middle one, or their average value.

The total commission earned by Paun is $14,000.

For the given question.

The total sales done by Paun is $50,000.

There is commission of 25% on first $2000.

There is commission of 30% on remaining that is 48,000.

The total commission will be 25% of $2,000 and 30% of 48,000.

25% of $2,000 = 25 × 2000/100

25% of $2,000 = $500

30% of 48,000 = 30 × 48,000/100

30% of 48,000 = $14,400

Total commission = $500 + $14,400 = $14,900.

Thus, the total commission earned by Paun is $14,000.

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Answer:

fineis un draw that thing

Step-by-step explanation:

ferd

Answer:

7x+3

Step-by-step explanation:

Combine like terms:

(4x+3x)+(5-2)

7x+3

Answer:

2x−12

Step-by-step explanation:

Answer:

2x−12

Step-by-step explanation:

Problem to solve:  

(x−6)2

Solve the product 2(x−6)

2x+2⋅−6

Multiply 22 times -6−6

2x-12

Final Answer

2x-12

2x−12

An Edge of a polyhedron is the intersection of the Vertex of the polyhedron.

A polyhedron  can be described as the 3-dimensional solid that is been formed through the combination of more than one polygons and they usually have different faces which is been used in knowing them as well as their classification.

It should be noted that this polyhedrons  can be categorized based on the  number of faces that can be found on them, however in this case we can conclude that the Vertex serves as the point of intersection that the edges of  polyhedron has.

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Answer:

edge, vertex

Step-by-step explanation:

An exponential function can be described as a function that grows or shrinks at a constant percent growth rate. It can be modeled using the formula:

where a is the initial or starting value and b is the growth factor or growth multiplier.

An exponential function can either model growth or decay. If it models growth b > 1 and a decay if 0 < b < 1.

The question, on the basis of the explanation above, represents an exponential growth model. The growth of the function is based on the growth multiplier, b. A higher value of b means that the graph becomes steeper.

Note that regardless of the value of b, the starting point of the graph, if it remains the same, will be unchanged, meaning that the y-intercept will not change with a change in the growth multiplier.

Consider the function below:

In the function, the growth multiplier is 3. We can increase this value by one unit to get 2 other functions such that:

The graphs of the 3 functions are shown below:

We can see that the graph becomes steeper with an increase in b while the y-intercept remains the same.

ANSWER

The graph will rise quicker with an increase in the value of b, while the y-intercept will remain unchanged.

Answer:

92

Step-by-step explanation:

(23)4 just means 23×4

which equal 92

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The solution of the given linear equation when

1. there is no solution, is x=-7.

2.one solution, is x=0.

What is a linear equation, exactly?

A linear equation is an equation which can be written in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope represents the rate of change of y with respect to x, and the y-intercept is the point where the line crosses the y-axis.

Now,

If there is no solution, then the equation must be contradictory, meaning that it simplifies to a statement that is always false.

5x - 2x + 7 - x = 0

2x + 7 = x

1. x = -7, which leads to a contradiction.

Therefore,

                 there is no solution to the equation when x=-7.

If there are infinitely many solutions, then the equation must be an identity, meaning that it simplifies to a statement that is always true.

5x - 2x + 7 - x = 2x + 7 - x

2x + 7 = 2x + 7

This simplifies to 0 = 0, which is true for all values of x.

2. Therefore, there are infinitely many solutions to the equation.

If there is one solution, then the equation must be consistent, meaning that it simplifies to a statement that is true for only one value of x.

5x - 2x + 7 - x = 3x + 7

2x + 7 = 3x + 7

-x = 0

x = 0

Therefore,

3.              the equation has one solution, x = 0.

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The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:aw dawd

Step-by-step explanation:awd awdkakwd

Step-by-step explanation:

Factor out two from the expression. The answer should be 2(2*(-2, 3)-(6, -7))

When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

a (-3,6)

b (6,9)

c (9,3)

Step-by-step explanation:

Answer: Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)

J′(6, 2); M′(−5, 1)

J′(2, 6); M′(−1, 5)

J′(6, −2); M′(5, 1)

Step-by-step explanation:

Answer:

A. \( y = \frac{1}{4}x + 2 \).

Step-by-step explanation:

Equation of a line in slope-intercept form, is given as \( y = mx + b \).

Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into \( y = mx + b \).

Thus, the equation of the line would be:

\( y = \frac{1}{4}x + 2 \).

The solution is 9x - 36u + 27.

What is the linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b.

We have given

-9(-×+4u-3)

When you multiply a negative number by another negative number, the result is positive.

So, to solve this problem, we can use the distributive property and simplify:

-9(-x + 4u - 3) = -9(-x) + -9(4u) + -9(-3)

= 9x - 36u + 27

Hence, the solution is 9x - 36u + 27.

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Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Using Venn probabilities, it is found that there is a 0.65 = 65% probability that a fan item selected at random will have at least one defect.

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

In this problem, the given probabilities are \(P(A) = 0.4, P(B) = 0.5, P(A \cap B) = 0.25\), hence, the "or probability", also called the "at least one" probability, is given by:

\(P(A \cup B) = 0.4 + 0.5 - 0.25 = 0.65\)

0.65 = 65% probability that a fan item selected at random will have at least one defect.

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Answer:

$46.99

Step-by-step explanation:

Since both dresses that cost the same add up to a total price of $93.98, all you have to do is divide the total price by 2.

93.98/2=46.99

Answer:

Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

Step-by-step explanation:

The simple interest rate​ is 8% if the Jackie decided to open a restaurant. She borrowed 25000 for 5 years. After 5 years, she had paid back 35000.

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We have:

Jackie decided to open a restaurant. She borrowed 25000 for 5 years. After 5 years, she had paid back 35000.

We know the formula for simple interest is:

A = p(1 + rt)

We have A(final amount) = 35000

P(initial amount0 = 25000

t(time)  = 5 years

35000 = 25000(1 + 5r)

1.4 = 1 + 5r

0.4 = 5r

r = 0.08 or

r = 8%

Thus, the simple interest rate​ is 8% if the Jackie decided to open a restaurant. She borrowed 25000 for 5 years. After 5 years, she had paid back 35000.

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Answer:

a = -bc

Step-by-step explanation:

We are given the equation:

c = -a/b

Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)

so you can make it look like this:

b*c = -a

Or:

-a = b*c

Then, do isolate a, we will have to divide by -1 on both sides

a = -b*c

To check this, we can plug in numbers

-8 = -16/2

-16 = -8*2

16 = 8 * 2

Let me know if you have any questions

Answer: The number of freshman who chose education as their major is greater than the number of freshman who chose science or other as their major ANSWER- D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The increase in height (rise) of the balloon is \(35.53 feet\)

What is Pythagorean Theorem?

Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

According to the given information:

Given that,

Initial angle of elevation = \(19.3^{0}\).

Final angle of elevation = \(32.3^{0}\).

Distance = \(126 feet\).

How to calculate the height (rise).

In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:

tan∅ = \(\frac{height}{adj}\)

height = adjacent \(*\) tan∅

At an initial angle of elevation:

height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)

At a final angle of elevation:

height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)

For the change in height:

Δh \(= 79.64-44.11\\=35.53 feet\)

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Answer:

The third statement: "A square has all the properties of a rectangle."