A new miniature golf and arcade opened up in town. For convenient ordering, a play package is available to purchase. It includes two rounds of golf and 20 arcade tokens, plus $3.00 off the regular price. Stacey and her six friends are purchasing this package. Let g represent the cost of a round of golf, and let t represent the cost of a token. Write two different expressions that represent the total amount this group spent.

Answer:

I hope this helps:)

Step-by-step explanation:

Answer:

1.5f + 10 = 28.5

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

28.50-10.50=18

18 divided by 1.50= 12

Answer:

This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change

Step-by-step explanation:

$95 x 6.25% = 5.9375

So, 95 + 5.9375 = ($) 100.9375 (Answer)

Or ($) 100.1 (Rounded Answer) (1 decimal place)

Stay safe and Merry Christmas! :)

Answer:

Step-by-step explanation:

The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.  

6^2 + 6^2 = x^2

36 + 36 = x^2

x^2 = 72

sqrt(x^2) = sqrt(72)

x = 6√2

Answer:

Slope= average rate of change = rise over run

Step-by-step explanation:

Answer: A

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer: x=15

Step-by-step explanation: THIS IS THE CORRECT ANSWER

Answer:

[tex]x = 0 \leqslant 0.25[/tex]

Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

d + 4c  just replace the d and c with numbers

c is 8 and d is 7

7+32=39

Answer:

Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.

Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.

Second pic:

Amos was correct

Tash was correct

Both were correct

Step-by-step explanation:

The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x

Given that Karl filled up the tank with 400 liters of fuel initially.

As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.

Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.

It says that the truck consumes 0.8 liters of fuel for each kilometer driven.

Then the linear equation modelling this will be :

y = 400 - 0.8x

The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.

  x        y

 1        399.2

 2       398.4

 3       397.6

 4        396.8  and so on.

The question is incomplete. Find the complete question below:

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.

Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).

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Answer & Step-by-step explanation:

The domain is the x values and the range is the y values.

Domain:

Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:

[tex]domain:x\geq 1[/tex]

x is greater than or equal to 1.

Range:

Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:

[tex]range:y\geq -1[/tex]

the y values are greater than or equal to -1.

:Done

Answer:

454

Step-by-step explanation:

The formula for this arithmetic sequence is: 9n+4

1st term: 9(1)+4 = 13

2nd term: 9(2)+4 = 22

3rd term: 9(3)+4 = 31

4th term: 9(4)+4 = 40

.

.

.

50th term: 9(50)+4 = 450+4

                                = 454

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Rate of change of given points is 3/2.

Given that

The values of x and y,

x values are 2, 4, 6, 8 and

y values are 5, 8, 11, 14.

To find

Rate of change = ...?

So, according to the question

we have,

The values of x =  2, 4, 6, 8

The values of y =  5, 8, 11, 14.

We know that,

Rate of change = (change in y )/(change in x)

 = [tex]\frac{8-5}{4-2}[/tex]

  = [tex]\frac{3}{2}[/tex]

The difference of other points are same, so the rate of change of given coordinates is 3/2.

Rate of change = 3/2

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Here is the completed table:

Tower Prisms Total blocks

A          16              20

B           28          35

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Ratio of prism shaped blocks to pyramid shaped blocks = number of prism shaped blocks : number of pyramid shaped blocks

4 : 1

Number of pyramid blocks when there are 16 prism shaped blocks : 16 / 4 = 4

Total number of blocks : 4 + 16 = 20 blocks

Number of prism blocks when there are 35 blocks : (ratio of prism blocks /sum of ratios) x  total number of blocks

(4/5) x 35 = 28 blocks

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Answer: its simplest form, because 53 is a prime number so is not divisible by anything other than itself and 1, and 38 is smaller than 53.

Answer:

It is already in simplest form

Step-by-step explanation:

38 and 53 cannot be further divided

Answer:

I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix

Answer:4

Step-by-step explanation: 3x+1−2x=2x+5−2x

                                               x + 1 = 5

                                               x+1−1=5−1

                                                x=4

Answer:

Simplifying

3x + -1 = 2x + 5

Reorder the terms:

-1 + 3x = 2x + 5

Reorder the terms:

-1 + 3x = 5 + 2x

Solving

-1 + 3x = 5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-1 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-1 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0

-1 + 1x = 5 + 0

-1 + 1x = 5

Add '1' to each side of the equation.

-1 + 1 + 1x = 5 + 1

Combine like terms: -1 + 1 = 0

0 + 1x = 5 + 1

1x = 5 + 1

Combine like terms: 5 + 1 = 6

1x = 6

Divide each side by '1'.

x = 6

Simplifying

x = 6

Answer is 6

The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n

This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.

For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:

After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)

To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.

We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10

This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,

we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.

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[a] Answer: y = 20x + 50

Step-by-step explanation:

    We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.

    y = 20x + 50

[b] Answer: (3, 110)

Step-by-step explanation:

    Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.

    Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).

[c] Answer: 10 weeks

Step-by-step explanation:

    Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.

    This is at (10, 250), or 10 weeks.

Answer:2,-12

Step-by-step explanation:

Answer:

its divided into sixths