Alexa was out at a restaurant for dinner when the bill came. Her dinner came to $14. After adding in a tip, before tax, she paid $17.78. Find the percent tip.

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

Learn more about Functions here :

https://brainly.com/question/29067911

#SPJ1

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

Answer:

the speed of the wind of the pilots speed in still air is 230 miles per hour ... against wind speed is 200 mph and it takes 1.8 hours to go 360 miles-by-step explanation:

The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).

To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.

Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.

Therefore, the percent that accurately reflects the white section in the circle is 38%.

To know more about percentage:

https://brainly.com/question/29142813

#SPJ4

The annual interest rate on Rafael's account is approximately 3.66%.

a) To calculate how much money Rafael deposited in the account, we need to find the difference between the two amounts.

= Amount after 6 years - Amount after 5 years

= £1752.60 - £1690.50

= £62.10

Therefore, Rafael deposited £62.10 in the account at the start.

b) To work out the annual interest rate on the account, we can use the simple interest formula:

I = Prt

where I is the interest earned, P is the principal amount (i.e., the amount deposited by Rafael), r is the annual interest rate, and t is the time period in years.

We know that Rafael's account pays simple interest, so the annual interest rate remains constant over the years.

Let's represent the annual interest rate by x.

Using the formula, we can write:

£62.10 = P × x × 1, as the interest rate is per annum.

Simplifying the equation:

£62.10 = Px

x = £62.10 / P

The interest rate is equal to £62.10 divided by the amount Rafael deposited.

Substituting the value of P, we get:

x = £62.10 / £1690.50

x ≈ 0.0366 or 3.66%

(to 1 d.p.)

For such more questions on interest;

brainly.com/question/25720319

#SPJ1

The answer is \( 5 \sqrt{3} \)

\( \frac{ {m}^{2} }{15} - 3 = 2\)

\( \frac{ {m}^{2} }{15} = 2 + 3\)

\( \frac{ {m}^{2} }{15} = 5\)

\( {m}^{2} = 5 \times 15\)

\( {m}^{2} = 75\)

\(m = \sqrt{75} \)

\(m = \sqrt{25 \times 3} \)

\(m = \sqrt{25} \times \sqrt{3} \)

\(m = 5 \sqrt{3} \)

CMIIW

The percentage of voters for each condition;

a. 24%

b. 42%

c. 31.43%

d. 47.83%

e.  0.46%

To determine the percentage, we have;

Percent of Independent but not swing voters = Percent of Independent - Percent of Independent and swing voters

= 35% - 11%

= 24%

b. Percent of voters who are neither Independent nor swing voters = 100% - Percent of Independent - Percent of swing voters

= 100% - 35% - 23%

= 42%

(c) Percent of Independent voters who are swing voters = Percent of Independent and swing voters / Percent of Independent

= 11% / 35%

= 31.43%

(d) Percent of swing voters who identify as Independents = Percent of Independent and swing voters / Percent of swing voters

= 11% / 23%

= 47.83%

(e)

Percent of Independent swing voters = Percent of Independent and swing voters / Total sample size

= 11% / 2,373

= 0.46%

The percentage of all swing voters is given as 23%.

Learn more about percentage at: https://brainly.com/question/24877689

#SPJ4

Answer:

x² + y² = 4

Step-by-step explanation:

We need to write the standard equation of circle with , centre (0,0) and radius 2 unit . The Standard equation of the circle ⭕ is ,

=> ( x - h)² + (y -k)² = r²

=> ( x -0)² + (y-0)² = 2²

=> x² + y² = 4 .

Answer:

x = 3 and y = 8

Step-by-step explanation:

The Opposite sides of a parallelogram are equal and parallel. It means,

\(\dfrac{y}{2}=4\\\\y=8\)

Also,

5x - 6 = 3x

Taking like terms together,

5x -3x = 6

2x = 6

x = 3

So, the values of x and y are 3 and 8 respectively.

Answer: 16 meters

Step-by-step explanation:

1 cm         4cm

--------    =  ---------

4m             16m

Hi there!

\(\large\boxed{r\approx 10.6 cm}\)

Solve for the radius using the pythagorean theorem:

a² + b² = c²

We know the lengths of the hypotenuse and one leg, so:

a = 12

b = ?

c = 16

Plug these into the equation:

12² + b² = 16²

Simplify:

144 + b² = 256

Subtract both sides by 144:

b² = 112

Take the square root:

b ≈ 10.6

Thus the radius is about 10.6 cm.

Answer:

y - 5 = 4(x + 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, 5)

Slope m = 4

Step 2: Find Equation

Answer:

6 students choose time to change classes

Answer:

6 students

Step-by-step explanation:

you 12% of 50 students chose time to change classes. you would convert the percent into a decimal do 12% would be 0.12 then multiply that b by 50. 0.12 × 50= 6

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

To know more about integer here

https://brainly.com/question/929808

#SPJ2

Gallons of gas used 40 gallons.

The given equation, m = pace / 40g, represents the distance in miles (m) that a car can travel using a certain number of gallons (g) of gas. The variable "pace" represents the miles per gallon (mpg) of the car. To find the number of gallons used, we need to solve for g in the equation.

Here are the key steps:

Finally, we can solve for g and we get the answer that the car used 40 gallons of gas.

Learn more about equations here:

https://brainly.com/question/2972832

#SPJ4

The graph represents the system of inequalities 2x + 3y ≥ 4 and x + 2y ≤ 3. The test point (0, 1) satisfies both of the inequalities in that system. So, the correct answer is C). 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3.

The graph represents the system of inequalities: 2x + 3y ≥ 4 and x + 2y ≤ 3. To determine the test point that satisfies both of the inequalities in the system, we can pick any point that lies within the shaded region on the graph. One such point is (1, 1).

Plugging this point into both inequalities, we get

2(1) + 3(1) ≥ 4 → 5 ≥ 4 (true)

1 + 2(1) ≤ 3 → 3 ≤ 3 (true)

Since both inequalities are true for the point (1, 1), it satisfies both of the inequalities in the system. So, the correct option is C).

To know more about inequalities:

https://brainly.com/question/30228778

#SPJ4

--The given question is incomplete, the complete question is given

" Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?

The graph represents the system of inequalities__________

A) 2x + 3y is greater than or equal to 4 and x+2y is greater than or equal to 3

B) 2x + 3y is less than or equal to 4 and x + 2y is less than or equal to 3

C) 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3

D) 2x +3y is less than or equal to 4 and x + 2y is greater than or equal to 3

E) 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to to 3"--

Answer: 5,1

Step-by-step explanation:

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

To know more about distance, click on the link

https://brainly.com/question/26550516

#SPJ1

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)

The length of the living room in the blue print is 3.96 inch

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

We have,

1foot = 0.33 inch

The actual length of the living room =12feet.

Therefore,

The length of the living room in the blue print = 12 × 0.33 = 3.96inch

Hence, the length of the living room in the blue print is 3.96 inch.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

The estimated diffusion coefficient of formaldehyde in air at 8.3°C and 150 atm is approximately 3.48 × 10^−4 cm^2/s.

the Fuller-Schettler-Giddings equation is commonly used to estimate the diffusion coefficient. To calculate the diffusion coefficient of formaldehyde (COM; MW = 30.03 g/mol) in air (MW = 28.97 g/mol) at 8.3°C and 150 atm, we can use the following steps:

1. Convert the temperature from Celsius to Kelvin:
  - Add 273.15 to the temperature in Celsius to get the temperature in Kelvin.
  - In this case, 8.3°C + 273.15 = 281.45 K.

2. Use the Fuller-Schettler-Giddings equation, which is given by:

  \(D_AB\)\(= (1.858 × 10^−4) × ((T / P) × (M_B / M_A)^0.5)\)

  - \(D_AB\) represents the diffusion coefficient of A in B.
  - T is the temperature in Kelvin.
  - P is the pressure in atm.
  - \(M_B\)and M_A are the molar masses of B and A, respectively.

3. Plug in the values:
  - T = 281.45 K (from step 1)
  - P = 150 atm (as mentioned in the question)
  - \(M_B\)= 28.97 g/mol (molar mass of air)
  - \(M_A\)= 30.03 g/mol (molar mass of formaldehyde)

4. Calculate the diffusion coefficient:

\(- D_AB = (1.858 × 10^−4) × ((281.45 K / 150 atm) × (28.97 g/mol / 30.03 g/mol)^0.5)\)

Therefore, the estimated diffusion coefficient of formaldehyde in air at 8.3°C and 150 atm is approximately 3.48 × 10^−4 cm^2/s.

Learn more about diffusion with the given link,

https://brainly.com/question/94094

#SPJ11

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

The null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

According to the facts provided, the allegation is that the card was recognized much more frequently than randomness would predict.

The proportion of card selected will be:

= 1/4

= 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

To know more about null hypothesis please visit:

https://brainly.com/question/28920252

#SPJ4

we first generate 10 samples of size 100 from the N(0,1) distribution and store them in a list called `samples`. Then, we iterate over each sample and count the number of variables greater than 1.96 using the `sum()` function. The counts are stored in a vector called `counts`.

(1) Making 10 samples of size 100 from the N(0,1) distribution independently:

# Set the seed for reproducibility

set.seed(123)

# Create an empty list to store the samples

samples <- list()

# Generate 10 samples of size 100 from N(0,1)

for (i in 1:10) {

 sample <- rnorm(100, 0, 1)

 samples[[i]] <- sample

}

# Print the samples

print(samples)

(2) Counting the number of variables greater than 1.96 in each sample:

# Create an empty vector to store the counts

counts <- numeric(10)

# Count the number of variables greater than 1.96 in each sample

for (i in 1:10) {

 count <- sum(samples[[i]] > 1.96)

 counts[i] <- count

}

# Print the counts

print(counts)

In the code above, we first generate 10 samples of size 100 from the N(0,1) distribution and store them in a list called `samples`. Then, we iterate over each sample and count the number of variables greater than 1.96 using the `sum()` function. The counts are stored in a vector called `counts`. Finally, we print the samples and counts.

Learn more about Sample here

https://brainly.com/question/32911129

#SPJ4

Answer:

39

Step-by-step explanation:

-120/-6=20

20+19=39

check our work

39-19=20

20*-6=-120

The length of the base when the height is 6 cm is 21 cm .

In the question ,

it is given that ,

the length of the base(b) of the triangle varies inversely with the height(h) ,

which is represented as

b ∝ 1/h

b = k/h

where k is the constant of variation

given that when b = 18 , h is = 7

18 = k/7

k = 18 × 7

k = 126

Substituting , the value of k = 126  in the equation b = k/h  ,

we get ,

b = 126/h

So, the length of the Base When h = 6,

b = 126/6

b = 21

Therefore, the length of the base when the height is 6 cm is 21 cm .

Learn more about Equations here

https://brainly.com/question/1758955

#SPJ1

Shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

To find the shortest distance between a point and a plane, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane's equation, d is the constant term, and (x, y, z) is the coordinates of the point.

In this case, the plane is x + y + z = 1, so a = 1, b = 1, c = 1, and d = -1. The point is (2, 0, -3), so x = 2, y = 0, and z = -3. Plugging in these values, we get:

distance = |1(2) + 1(0) + 1(-3) - 1| / √(1² + 1² + 1²)

= 3 / √3

= √3

Therefore, the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1 is √3 units.

Learn more about constant term.

brainly.com/question/26099230

#SPJ11

The distance of the comet from the laser rangefinder after x days, denoted as g(x), is given by the equation:

g(x) = 250,000csc(π36x)

where x represents the number of days and g(x) is the distance in kilometers.

In this equation, the function csc represents the cosecant function, which is the reciprocal of the sine function. The π/36 factor in the argument of the csc function ensures that the period of the comet's distance is 36 days.

To find the distance of the comet at a specific number of days, substitute the value of x into the equation g(x). For example, to find the distance after 10 days, substitute x = 10 into the equation:

g(10) = 250,000csc(π36(10))

To calculate the distance, evaluate the cosecant function using the appropriate mathematical tools or software.

The given equation provides a mathematical model for the distance of the comet as it approaches Earth over a period of 36 days.

To know more about equations visit-

brainly.com/question/32073464

#SPJ11

The answer is B

I subtracted the 2 fractions.

Answer:

I think BC= 5¼

Step-by-step explanation:

I subtracted 2¼ from 7½

I insterted a diagram to explain why I did so because I'm not sure how to explain it in words.

You basically subtract AB from AC so that you just have BC.