Franco and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Franco starts with 18 points, and his little brother starts with 20 points. Franco gets 3 points for every successful shot, and his brother, since he is younger, gets 1 point for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have? How many additional shots will each brother have made?

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer:

9000

Step-by-step explanation:

The transformed equation of \(y = x^{3}\) is \(y = -\frac{1}{7} (x + 8)^{3}\).

Given equation ;  \(y = x^{3}\)

Applying the given transformations, we have:

To have a vertical compression by a factor of  \(\frac{1}{7}\), we need to multiply the function by  \(\frac{1}{7}\). So, we have:

\(y =\)  \(\frac{1}{7}\) \(x^{3}\)

To have a horizontal shift by 8 units to the left, we need to add 8 to x. So, we have:

\(y = \frac{1}{7} (x + 8)^{3}\).

Lastly, to have a reflection over the x-axis, we need to multiply the function by −1. So, we have:

\(y = -\frac{1}{7} (x + 8)^{3}\).

Therefore, the transformed equation is  \(y = -\frac{1}{7} (x + 8)^{3}\).

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Answer:

Below

Step-by-step explanation:

1/3 x   = - 2/5      <=====multiply both sides of the equation by 3 to get

x = -6/5   = - 1  1/5

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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If May was three times as old as Ann 12 years ago, and the sum of their ages is now 48, then:

May is 30 years old

Ann is 18 years old

Let the present age of May be represented by y

Let the present age of Ann be represented by x

Sum of their present ages is 48

x   +  y   =  48..........(1)

12 years ago:

Mary's age = y - 12

Ann's age = x - 12

Mary was three times as old as Ann

y  -  12   =  3(x  -  12)

y  -  12   =  3x   -  36

y    =  3x  -  36   +  12

y   =  3x   -  24........(2)

Substitute equation (2) into equation (1)

x   +  (3x  - 24)   =  48

x  +  3x  -  24   =  48

4x    =  48  +  24

4x   =  72

x   =  72/4

x   =  18

Substitute x = 18 into equation (2)

y  =  3(18)  -  24

y  =  30

May is 30 years old

Ann is 18 years old

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The simplified expression is (a - 3) / (a + 2), which is valid for all values of a except a = 4, since in the original expression a - 4 appears in the denominator, and dividing by zero is undefined.

What are quadratic equations?

Having the form  ax² + bx + c = 0, quadratic equations are second-degree algebraic expressions. The name "quadratic," which refers to the fact that the equation's variable x is squared, is derived from the Latin word "quadratus," which means "square." A quadratic equation is a "equation of degree 2," to put it another way.

We can factor the numerator and denominator of the expression as follows:

(a² - 7a + 12) / (a² - 2a - 8) = [(a - 4)(a - 3)] / [(a - 4)(a + 2)]

We can simplify the expression by canceling out the common factor of (a - 4) in the numerator and denominator:

[(a - 4)(a - 3)] / [(a - 4)(a + 2)] = (a - 3) / (a + 2)

Therefore, the simplified expression is (a - 3) / (a + 2), which is valid for all values of a except a = 4, since in the original expression a - 4 appears in the denominator, and dividing by zero is undefined.

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Answer:

1/8

Step-by-step explanation:

Answer:

1/8, 4/32

Step-by-step explanation:

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

1

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

Answer:

C) 3.

Step-by-step explanation:

according to the domain y=3 when x≥2.

f(2)= 3.

When asking for f(2) from a graphic, we are being asked the following: "What value of y the graph shows when x is 2?" Therefore, let's look at the graph and find out (check the attached mage below).

Looking at the image, one could say that the graph has 2 values of y when x is 2, but in reality, the graph is telling you, by presenting the open or empty dot, that the bottom value isn't contained by the function. Therefore, the value of y when x= 2, is 3.

Answer:

70%

Step-by-step explanation:

the formula for percent of change is:

New value - Old value divided by Old value

we can write this algebraically as:

(6-20)/20 which is -14/20

the negative simply implies a 'decrease' from old to new

14/20 equals 70/100 or 70%

Answer:

The answer to your question is 70% decrease

Step-by-step explanation:

I hope this helps and have a wonderful day!

Answer:

The blank is 37.

Step-by-step explanation:

Ok. So 67 + 76 = 143.

Next since all triangles should be 180°

We know that since 180 - 143 = 37 the last angle should be 37.

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- hermionia

The estimated probability of a success is 3/5 or 0.6

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

Integers = 5

Success = 3

The probability of success is then calculated as

Probability = Success/Integrs

Substitute the known values in the above equation, so, we have the following representation

probability = 3/5 = 0.6

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The packet of 25 g of the same coffee costs 2.05 euros is the better value for money.

According to the question, the given homework progress marks is (28/44) in which 12 marks are less.

This problem can be simplified with the help of the simplification method.

As per question, the coffee cost for the 100 grams is written below:

100 g = 8.10 euros

Divide it by 4 to get 25 grams:

⇒ 25 g = 2.05 euros

Hence, the packet of 25 g of the same coffee costs 2.05 euros is the better value for money.

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

Surface area of cube = 6a²

Side of cube = 5/2

Surface area of cube = 6 (5/2)² = 6 (25/4)

= 37.5 unit²

Answer:

Sales budget $     for the 4 quarters is  $ 600,000    $ 720,000            $594000 and $ 825,000  

Production Budget in units for the four quarters i s     7997.6            9000             8900  and  10,350 units

Step-by-step explanation:

Sales Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

Sales Price       $75.00        $75.00           $ 82.50            $82.50

Sales $              600,000     720,000            594000         825,000  

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

Ending Inv.      2400            1800                3500               3850

Less Opening   -----              2400               1800               3500          

Production      7997.6            9000             8900                10,350          

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

Answer:

x=4

Step-by-step explanation:

the sum of 18 and a number x

that's just 18+x

is equal to 22

that means that something=22

=22

put all together

\(18+x=22\\\\18-18+x=22-18\\\\x=4\)

The required value of x is 4.

Assume that the number we're looking for is represented by 'x'. According to the problem,

The sum of 18 and x is equal to 22.

We can write this as an equation: 18 + x = 22.

To solve for x,

Isolate it on one side of the equation.

We can do this by subtracting 18 from both sides:

18 + x - 18 = 22 - 18.

This simplifies to,

x = 4.

Therefore, the value of x that satisfies the equation is 4.

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(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer:

See below.

Step-by-step explanation:

Let “x” be a coach ticket.

Let “y” be a first class ticket.

Let’s set up a system of equations.

120x + 990y = 3210

x + y = 5

120x = 3210 - 990y

x = 26.75 - 8.25y

26.75 - 8.25y + y = 5

- 7.25y = -21.75

y = 3

120x + 990 * 3 = 3210

120x = 240

x = 2

She bought 2 coach tickets and 3 first class tickets.

first class tickets = 3

coach tickets = 2

Step-by-step explanation:

let number of coach tickets = x

and

number of first class tickets = y

coach tickets + first class tickets = total tickets

x + y = 5 -----> equation A

now

total cost of coach tickets = cost per coach tickets * number of coach tickets

= 120 * x

and

total cost of first class tickets = cost per first class ticket * number of first class tickets

= 990 * y

cost of coach tickets + cost of first class tickets = total cost of tickets

120x + 990y = 3210 -----> equation B

equation B - 120 times equation A gives

120x + 990y - 120 (x + y) = 3210 - 120 * 5

120x + 990y - 120x - 120y = 3210 - 600

870y = 2610

y = 3

thus x + 3 = 5

or x = 2

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

n-5

Step-by-step explanation:

Answer:

20 cm = 7.87402 inches

i'm not sure if this is what you were looking for

The angle of depression at which Beatrice sees the boat is given as follows:

x = 6.65º.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle, we have that:

Hence the angle is obtained applying the tangent ratio as follows:

tan(x) = 70/600

x = arctan(70/600)

x = 6.65º.

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The angle of depression at which Beatrice sees the boat is given as follows:

x = 6.65º.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle, we have that:

Hence the angle is obtained applying the tangent ratio as follows:

tan(x) = 70/600

x = arctan(70/600)

x = 6.65º.

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Answer:

12 blue stones

Steps:

40/5 = 8

8 x 2 = 16 red stones

40/10 = 4

4 x 3 = 12 green stones

40 - (12 + 16) = 12 blue stones

hope this helps!

Answer:

Step-by-step explanation:

Answer:

x=h-p

Step-by-step explanation:

bk

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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