Four friends went to Top fold together . The bill for all the games they played was $52 before tax. The tax was 10% of the bill. The friends split the total bill, including tax, evenly . How much did each friend end up paying? Round to the nearest cent to

Answer:

60:61.8 OR 10:10.3

Step-by-step explanation:

Cant be simplified - unless your in advanced classes. If so

10:10.3

Answer:

Step-by-step explanation:

1/3 or 0.3 or 33.333333% or 3^-1 or 3.333333 x 10^-1

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

Step-by-step explanation:

sean has 20 +2 : 2 x 7 = 14 + 20 = 34  

max has 0 + 5: 5 x 7 = 35

so after 7 week max will have more money

We have the next two given lines:

y = 4 / 7x + 17

y = 4 / 7x - 13

looking at both equations, they have the same slope. In this case, 4/7x.

When two lines have the same slope, they are parallel lines.

Hence, the correct answer is option d.

Answer:

The actual height of telescope is 42.85 inches

Step-by-step explanation:

Given that:

Height of model of telescope = 15 inches

Diameter of model of telescope = 3.5 inches

Actual diameter of telescope = 10 inches

Actual height of telescope = x

Ratio of model's diameter to height :: Ratio of actual diameter to height

3.5 : 15 :: 10 : x

Product of extreme = Product of mean

3.5*x = 10*15

3.5x=150

Dividing both sides by 3.5

\(\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85\)

Hence,

The actual height of telescope is 42.85 inches

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

A passenger can travel 6.875 miles for $20 using the given taxi fare function.

To determine how many miles a passenger can travel for $20 using the taxi fare function f(x) = 2.56x + 2.40, we need to set up an equation and solve for x.

The equation we need to solve is:

2.56x + 2.40 = 20

To solve for x, we can start by subtracting 2.40 from both sides of the equation:

2.56x = 17.60

Next, we can divide both sides by 2.56:

x = 6.875

This calculation assumes that the fare is based solely on distance and that there are no additional fees or charges.

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Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%

5/8

64%

0.65

Answer:

B

Step-by-step explanation:

$65×6%=$3.90

$3.90+$65=$68.90

m I right

Answer:

Step-by-step explanation:

3.5x - 10 > -3

3.5x > 7

x > 2

8x - 9 < 39

8x < 48

x < 6

x > 2 and x < 6

Answer:

100

Step-by-step explanation:

its saying 60% of his favorite number is 60

because the numbers are the same that means the number must be 100

Let t represent the number of hours it will take the prices of the two stocks to be the same.

The initial price of stock A was $14.57. Given that the price has been increasing at the rate of $0.12 each hour, it means that after t hours, the amount of increase would be

0.12 * t = 0.12t

The final price of stock A after t hours would be

14.57 + 0.12t

The initial price of stock B was $15.07 Given that the price has been decreasing at the rate of $0.11 each hour, it means that after t hours, the amount of decrease would be

0.11 * t = 0.11t

The final price of stock B after t hours would be

15.07 - 0.11t

For the prices to be the same, it means that

14.57 + 0.12t = 15.07 - 0.11t

0.12t + 0.11t = 15.07 - 14.57

0.23t = 0.5

t = 0.5/0.23

t = 2.17

It will take over 2 hours for the prices to be the same.

Answer:

7

Step-by-step explanation:

30/5 = 6

so 42/6 = x

x = 7

The domain and the range of the function are given as follows:

The function approaches y = 0 as x approaches positive infinity.

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Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation:

You only have wrong the leading coefficient, the quadratic equation is:

y = (x - 2)^2 + 4

For a quadratic equation with a vertex at (h, k) and a leading coefficient a, the equation is written as:

y = a*(x - h)^2 + k

In this case, we know that the vertex is (2, 4), so we can write:

y = a*(x - 2)^2 + 4

To get the value of a, we use the fact that the line passes through (0, 8), then:

8 = a*(0 - 2)^2 + 4

8 = a*4 + 4

8 - 4 = a*4

4/4 = a = 1

The quadratic equation is:

y = (x - 2)^2 + 4

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

  7π/2

Step-by-step explanation:

The period is the value of x that makes the cosine argument be 2π:

  4/7x = 2π

  x = (7/4)(2π) = 7π/2 . . . the period

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Let the number be x

1 2/3% × x = 4.75

5/3% × x = 4.75

(5/3)/100 × x = 4.75

5/3 × 1/100 × x = 4.75

5x/300 = 4.75

5x = 300 × 4.75

x = (300 × 4.75)/5

x = 1425/5

x = 285