If only the labeled points in the coordinate plane are used, how many lines contain point D

The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answer:

1.1% decrease

Step-by-step explanation:

Use the formula, % change = (difference/original) x 100

Plug in the values:

% change = ((9.69 - 9.58) / 9.69) x 100

= 1.1% decrease

Different arrangements of the display are possible is 2520.

Given:

the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.

Permutation :

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

= \(7_P_5\)

we know that,

\(n_P_r\) = n! / ( n - r ) !

\(7_P_5\) = 7! / ( 7 - 5 ) !

= 7! / ( 2 ) !

= 7! / 2!

= 7 * 6 * 5 * 4 * 3 * 2! / 2!

= 42 * 20 * 3

= 840 * 3

= 2520

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The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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The statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.

Given two functions f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).

We are required to find the statement which is true regarding the functions

f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\).

Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as domain and the values that we get from the function are part of codomain.

The statement which is true about the function f(x) and h(x) is the statement given in third option which is that function h is a reflection and a translation of function f.

Hence the statement which is true regarding f(x)=\(2^{x}\) and h(x)=-3*\(2^{x}\) is that function h is a reflection and a translation of function f.

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Answer:

Don't really know

Step-by-step explanation:

------------------------------

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

The entire amount of money received by an organisation's operations over a predetermined period of time is the basic definition of revenue.

A company's revenue is its total revenue before any expenses are subtracted. According to the definition, revenue is the total sum of money obtained through conducting commercial activities like sales.

Let store charge x $ for each movie.

No.of rented movies per weak = 108-9x(x-z)

Total revenue = x*[108-9(x-2)]

= x*[108-9x+18]

= x*[126-9x]

= 126x-9x^2

Total revenue will be maximised when dT/dx = 0

dT/dx = 126-9*2x

= 126-18x = 0

18x = 126

x = 7$

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

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L = 2*9+5=23

Answer:

920

Step-by-step explanation:

$4.60×6-8

$4.60×2dimes

=920

Answer:

THE ANSWER IS 81/16 OR C

The cost of one keelboat is $7950

Given, A community boating center had $12,500.

It bought 3 surf skis and 1 keelboat and had $265 left over.

The keelboat cost $6,455 more than a surf ski.

Let the cost of one surf ski be x,

According to question,

cost of one keelboat = x + 6455

also, 3x + (x + 6455) + 265 = 12500

4x + 6520 = 12500

4x = 5980

x = 1495

So, the cost of one surf ski is $1495

and the cost of one keelboat is 1495 + 6455

= $7950

Hence, the cost of one keelboat is $7950

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total cost = 6.25 + 0.25 x

15.75 - 6.25 = 0.25 x

9.5 = 0.25 x

x = 38 prints

Answer:

For the second one: NO congruent to MO.

For the third one: angle N congruent to angle O.

:)

Answer:

-x,-y

180

Step-by-step explanation:

ED 2020

The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,

The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).

Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.

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Answer:

yes she has more than enough

Step-by-step explanation:

1 quart = 4 cups

2 quarts = 8 cups

3 quarts = 12 cups

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

The total time for the mass of the element to be 60 grams is 7.5 minutes

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ  for growth rate

x ( t ) = x₀ × ( 1 - r )ⁿ   for decay rate

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units = n

Given data ,

Let the total mass of element be = 520 grams

So , the value of x₀ = 520 grams

Now , the decay rate of element is given by r = 25.1 %

To calculate the time at which the amount of element left is 60 grams = n

where n is the total time = t

So , x ( t ) = 60

The decay rate formula is given by the equation ,

x ( t ) = x₀ × ( 1 - r )ⁿ

Substituting the values in the equation , we get

60 = 520 ( 1 - 25.1/100 )ⁿ

On simplifying the equation , we get

60 = 520 ( 1 - 0.251 )ⁿ

Divide by 520 on both sides of the equation , we get

( 0.749 )ⁿ = 6/52

Taking logarithm on both sides , we get

n × log ( 0.749 ) = log ( 6/52 )

Divide by log ( 0.749 ) on both sides , we get

n = log ( 6/52 ) / log ( 0.749 )

n = -0.9378 / -0.1255

n = 7.47 minutes

Therefore , the value of n time t = 7.5 minutes

Hence ,

The total time for the mass of the element to be 60 grams is 7.5 minutes

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Answer:

45 fish as shown from the guy above

Answer: \(1\dfrac{11}{12}\text{ pounds}\)

Step-by-step explanation:

The complete question is provided in the attachment.

Given, Amount blueberry jelly beans= \(1\dfrac{1}{4}\) pounds

\(=\dfrac{5}{4}\) pounds.

Amount lemon jelly beans = \(2\dfrac{1}{3}\)pounds

\(=\dfrac{7}{2}\) pounds

Total jelly beans she bought = Amount blueberry jelly beans + Amount lemon jelly beans

\(=(\dfrac{5}{4}+\dfrac{7}{3})\) pounds

\(=\frac{15+28}{12}\text{ pounds}\\\\=\dfrac{43}{12}\text{ pounds}\)

Amount of jelly beans she gave away = \(1\dfrac{2}{3}=\dfrac{5}{3}\text{ pounds}\)

Amount of jelly beans she has left= Total jelly beans - Amount of jelly beans she gave away

=\(\dfrac{43}{12}-\dfrac{5}{3}\\\\=\dfrac{43-20}{12}\\\\=\dfrac{23}{12}\\\\=1\dfrac{11}{12}\text{ pounds}\)

She has left \(1\dfrac{11}{12}\text{ pounds}\) of jelly beans.

The correct value of Z for the solution to true system is -2

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

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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Answer:

They should not be exactly the same but they should be close.

Step-by-step explanation:

The first thing that we must take into account is the following:

Experimental probability is the result of an experiment, and theoretical probability is based on the mathematical model developed in probability theory. With the above, we can affirm that the precision of the results of the experiments depends directly on the sample size of the experiment and the precision is greater when the sample size is greater.

This means that the odds are most likely not the same, they must be very close since it has been repeated a considerable number of times and the more times it is done the closer they will be to being the same.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

B

Step-by-step explanation:

In parallelogram the corresponding angles should have the same angle measures

Answer:

The answer is B(40° and 140°)

Step-by-step explanation:

I did the question and got it right

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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