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To write the height of Debbie as a fraction of the height of Leo in its simplest form is this: 17/18.

Writing one figure as a fraction of another can be done by representing the figures as numerators and denominators. In this case, what we will have is 85/90. That is the height of Debbie divided by the height of Leo.

To express this fraction in its simplest form will mean dividing the figures until they can no longer be divided. Using 5 as a common factor for dividing, we can conclude that the simplest form of the answer is 17/18.

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Answer:3 8 10

Step-by-step explanation:

4 terms.

1) Terms of an expression denotes the constant terms, and the constant ones (numbers).

2) As we can see all the variables are different so we can tell these terms can't combine with any other one.

3) And therefore, we can tell that this expression has 4 terms.

The revenue is at a maximum after x = 9

The maximum is $ 261

9 hearing aids are produced and sold.

The revenue, R(x), of producing and selling 'x' Awesome Hearing Aids is modeled by the function,

R(x) = -3x² + 56x

We need to find the number of hearing aids produced and sold in order to maximize the revenue.

We use the differentiation method to find the maximum of the function R(x).

Differentiate R(x) with respect to x and equate it with 0,

R'(x) = -6x + 56

Then, -6x + 56 = 0

⇒ 6x = 56

⇒ x = 56/6 = 9.33 ≈ 9  [since x is the number of hearing aids]

Now we find the second derivative of R(x) at x = 9.

R''(x) = -6

⇒ R''(9) = -6 < 0

Since R''(9) < 0, the revenue R(x) is maximum at x = 9.

So the maximum revenue is obtained after x = 9.

Therefore maximum revenue = R(9) = -3 x 9²+56 x 9 = $ 261

Hearing aids produced and sold in order to maximize the revenue = 9

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Answer: 26/33

Step-by-step explanation:

Step-by-step explanation:

app called maple calculator

You have the figurew ABC with the following vertices:

A(-2,-4)

B(0,-1)

C(2,-4)

First, multiply all points by 2 (this is the first transformation)

A => A'(-4,-8)

B => B'(0,-2)

C => C'(4,-8)

Next, translate the previous points 6 units upward (which means add 6 units to each y-coordinate).

A' => X(-4,-2)

B' => Y(0,4)

C' => Z(4,-2)

as you can notice, with the previous transformation you obtain the vertices X, Y, and Z and form the figure XYZ.

Answer: a dilation by  and a translation 

Step-by-step explanation: just did on edge

The most appropriate form of midpoint of line segment will be given by-

Coordinate of midpoint of AB =  ([tex]\frac{1}{2}, -\frac{5}{2}[/tex])

What is midpoint of a line segment?

At first, it is important to know about section formula. Let the coordinate of end point of a line segment is ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]) respectively. Let another line intersects the line in the ratio m : n. Coordinate of point of intersection =[tex](\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m + n})[/tex].

If m = n =1, we get the coordinate of midpoint.

Coordinate of midpoint = [tex](\frac{x_1+y_1}{2}, \frac{x_2, y_2}{2})[/tex]

Midpoint of a line segment is that point which is equidistant from both the end points.

Here,

Coordinate of A = (-1, -9)

Coordinate of B = (2, 4)

Coordinate of midpoint of AB = ( [tex]\frac{-1 + 2}{2}, \frac{-9 + 4}{2}[/tex])

                                                 = ([tex]\frac{1}{2}, -\frac{5}{2}[/tex])

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1. Tha rate of return is 11.12%

2. The investor will not be happy in case the market interest rates fall

n is NPER 5 (called back in 5yrs)

Coupon payment / PMT = 1000 * 10% = 100,

Purchase price PV (PV is entered as a negative value) -1000

Called for value is FV Call premium is 7% hence FV = 107% * 1000 = 1070

You can use the RATE function in excel

Rate(nper, PMT, PV,FV, Type)

RATE(5,100,-1000,1070)

= 11.12%

The investor was promised a fixed return rate of 10%, but since the bond was called after 5 years, the actual return was 11.12%, so the investor had good reason to be pleased.

In the event that market interest rates decline, the investor will not be pleased because, had the bond not been called, he would have continued to receive his fixed 10% coupon payments of $100 per year.

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ANSWER

EXPLANATION

e have a 32 ounce bottle of weed killer concerntrate.

The directions say to mix 2 1/2 ounces of weed killer to water to make a gallon.

To find out how many gallons we will b able to make, we have to divide the total amount of the weed killer by the amount it takes to make one gallon.

That is:

They can make 12.8 (approximately 13) gallons of the weed killer.

Step-by-step explanation:

I assume the hours are also in units of 2.

that means in D the distance is -20 miles in 10 hours or

-20 miles / 10 hours = -2 miles / hour

An inequality that represents all possible combinations of x shirts and y pants is (12.99x + 15.99y) ≤ 125.

Given:

Cost of each shirt = $12.99

Cost of each pant = $15.99

Let's assume the number of shirts is x and the number of pants is y.

Total cost of x shirts = $12.99x

Total cost of y pants = $15.99y

Total cost = $(12.99x+15.99y).

Now, she does not want to spend more than $125 which means she can spend equal to or less than 125 dollars.

An inequality that represents all possible combinations of x shirts and y pants is,

(12.99x + 15.99y) ≤ 125

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Based on the given quantities, the quantity that is directly proportional is B) speed and time if the distance traveled is 110 miles.

Two quantities are said to be proportional if the increase or decrease between the two quantities is constant. For instance, if a single unit in one will always lead to the same increase in the other quantity.

When people are travelling at a constant 77 mph then it means that for every hour(time) that passes, the distance would increase by 77 miles. The distance and time here are therefore proportional.

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According to the given data we have the following:

Length of side a=100 ft

Lenght of side b=140 ft

Height of side h=40 ft

In order to calculate the area of this trapezoid we would have to make the following calculation:

area of this trapezoid=(a + b)/2)h

area of this trapezoid=(100+140)/2)40

area of this trapezoid=120*40

area of this trapezoid=4,800

The value of x= 1.2 and the value of y = -1.6

Given two equations

[tex]4x-2y=8[/tex]

[tex]3x+y=2[/tex]

Since there are two equations and two unknowns we can solve the equations by arithmetical methods.

Initially multiply second equation by 2 and add it it to first equation.

[tex]3x+2y=2[/tex] × 2

[tex]6x+2y=4[/tex]

Now adding this to equation 1

[tex]4x-2y=8 + 6x+2y=4[/tex]

[tex]10x=12[/tex]

[tex]x=1.2[/tex]

To get y value substitute x value in any of the equation

[tex]4(1.2)-2y=8[/tex]

[tex]-2y = 3.2[/tex]

[tex]y = -1.6[/tex]

Therefore x and y values are 1.2 and [tex]-1.6[/tex] respectively.

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Answer:

With the restrictions that 0 or 8 cannot be the leading digit, the leading digit can be one of [1, 2, 3, 4, 5, 6, 7, 9] = 8 choices.

The other six digits can be one of [1, 2, 3, 4, 5, 6, 7, 8, 9, 0] = 10 choices each.

Therefore, there are:

8*10*10*10*10*10*10 = 8*10^6 = 8,000,000 7-digit numbers under the given restrictions.

Step-by-step explanation:

hope this helps

P(A) =Probability of heads

P(B) = Probability of tails

P(B)= 1 - P(A) = 1 - 58 = 42%

The events are independent, so, let's assume that we flip the coin and the first two results are heads, so:

P(A) =0.58

Now, let's assume the last two results are tails so:

P(B) = 0.42

Therefore:

Answer:

-7ab-4a+4

Step-by-step explanation:

simplify the expression

hope this helped

have a great day ^^

Answer first evening she received 130 second evening she received 520 third evening she received 1300  

Step-by-step explanation: that's the right one for shure i worked it out

For value 4x³- 6x² + 4 is

If para x = -2

4x³ - 6x² + 4

=4(-2)³ - 6(-2)² + 4

=4(-8) - 6(4) + 4

=-32 - 24 + 4

=-52

If para x = 3

=4x³ - 6x² + 4

=4(3)³ - 6(3)² + 4

=4(27) - 6(9) + 4

=108 - 54 + 4

=58

If para x = 1

4x³ - 6x² + 4

=4(1)³ - 6(1)² + 4

=4 - 6 + 4

=2

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Todd sold 26 bunches of flowers on a street corner on Friday afternoon

The selling price of each flower bunch = $2.75

Total money made by Todd on Friday = $71.50

Arithmetic: The foundational subject in mathematics is arithmetic, which covers operations with numbers. These include multiplication, division, addition, and subtraction. One of the crucial branches of mathematics, arithmetic serves as the cornerstone of the field of mathematics.

Finding the number of flower bunches sold by Todd:

Number of bunches sold by Todd = Total money made by Todd/Selling price of each flower bunch

= 71.50/2.75

= 26

Number of bunches sold = 26

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The area of ​​a triangle is given by the formula:

From the information given you know that the measure of the height of the triangle EFG is 16 cm but the measure of the base of the triangle is unknown.

To find the measure of the base, you can first find the measure of the middle of the segment EG using the Pythagorean theorem, since the triangle formed by the vertices F, G, and EG/2 form a right triangle. Graphically,

The formula of the Pythagorean Theorem is

So, you have

Then, the measure of the segment EG, that is, the measure of the base of the triangle EFG is

Finally, the area of triangle EFG will be

Therefore, the area of the triangle EFG is 192 square centimeters.

Answer: 7

Step-by-step explanation:

y = 180 - (17x+13) = 167 - 17x

As sum of the angles of a triangle is 180, we get that (4x+7) + 97 + 167 - 17x = 180

-13x + 271 = 180

-13x = -91

x = 7

The solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

The inequalities are 3(x + 3)–2 < 4 or 1– x ≤ –1

The inequality shows the relationship between two values in an algebraic expression, the relationship are greater than or equal to, greater than, less than and less than or equal to.

The first inequality 3(x + 3) – 2 < 4

3(x + 3)–2 < 4

3x+9-2 < 4

3x+7 < 4

3x < 4-7

3x < -3

x < -1

The second inequality 1-x ≤ -1

-x ≤ -2

x ≥ 2

Plot the inequalities on the number line

Hence, the solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

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Given:

Required:

To find the inverse of the given function.

Explanation:

Consider

Rewrite f(x) as y,

Swap x and y,

Solve for y, we get

Final Answer:

The inverse of the given function is

The sales in 1995 were approximately 1.8 millions.

Explanation:

Since x = 0 is 1995, x = 1 is 1991 and so on, if we want to find the approximate amount of sales, we need to evaluate the expression for x = 5:

To the nearest tenth, the sales of SUV were approximately 1.8 millions

Answer:

Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions

For the coordinates and their weights, the weight average is 5

The given parameters are:

Coordinate 3 has a weight of 1

Coordinate 6 has a weight of 2

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

Substitute the known values in the above equation

So, we have the following equation

Weight average = (3 * 1 + 6 * 2)/(1 + 2)

Evaluate the product in the above equation

So, we have the following equation

Weight average = (3 + 12)/(1 + 2)

Evaluate the sum in the above equation

So, we have the following equation

Weight average = (15)/(3)

Evaluate the quotient in the above equation

So, we have the following equation

Weight average = 5

Hence, the weight average of the coordinates is 5

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Complete question

The coordinate 3 has a weight of 1 , and the coordinate 6 has a weight of 2 .

Find the weighted average.

The probability is 6/70.

What is probability ?

probability is concerning about numerical description  is how likely is an event is occur or how likely it is true.

Sol-

way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the

Thus,

probability is 6/70 which is equal toe open toe eight 57.

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By using basic algebra we get x = 0 and x =[tex]\frac{-26}{9}[/tex]

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants.

2x(3x-4)-3x(5x+6)

[tex]6x^{2} -8 -15x^{2} -18x\\-9x^{2} -26x = 0\\9x^{2} +26x = 0\\x(9x +26)=0\\x = 0\\ x = \frac{-26}{9}[/tex]

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