Suzanne and her father paid $28 to attend a movie. An adult ticket was 3 times the cost of a child's ticket. How much was the adult ticket?

Answer:

Step-by-step explanation:

1,2,3,3,3,3,5,6,7,10,10,10,11,11,12,12,13,13,

14,15

The linear relationship between the number of shirts, n ,it can sell and the price, p is p = (-1/250)x + 79

The linear equation is

y = mx + b

Where m is the slope of the line

b is the y intercept

Here p is the total price

n is the number of shirts

The equation will be

p = mn + b

The price of 6000 shirts = $55

The price of 8000 shirts = $47

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line = (47-55) / (8000-6000)

= -8/2000

= - 1/250

Substitute the point (6000, 55) in the equation

55 = (-1/250)(6000) +  b

55 = -24 + b

b = 55 + 24

b = 79

Substitute the values in the equation

p = (-1/250)x + 79

Therefore, the linear relation in the form of p is p = (-1/250)x + 79

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Answer:

  6

Step-by-step explanation:

You want to know how many chairs are usually around the table if 1 chair must be added to accommodate Mr. and Mrs. DiNapoli and their two sons and three daughters.

The number present for a family dinner is ...

  1 (Mr. DiNapoli) +1 (Mrs. DiNapoli) +2 (sons) +3 (daughters) = 7

If one chair is added to make 7, then there are usually ...

   7 - 1 = 6 . . . . chairs at the table

Answer:

mad is 0

Step-by-step explanation:

what type of question is this? no offense

Answer:

0

Step-by-step explanation:

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

0.85

Step-by-step explanation:

1 - 15% = 1 - 0.15 = 0.85

\( y = (0.85)^\frac{t}{12} \)

Answer: 0.85

Answer:

"

Step-by-step explanation: u didn't give the article, I would like to help but without context, there's not much I could do

The volume of the right rectangular prism is equal to the area base times the height of the prism. The area base (A) is given by

Then, the volume (V) is given as

Therefore, by rounding to the nearest hundreath, the answer is 263.52 cubic centimeters.

Answer:

4 1/2

Step-by-step explanation:

2/3 of 6 3/4 = 4 1/2

because "of" in math means multiply

so 2/3 x 6 3/4 = 4 1/2

4 1/2, because;

Convert any mixed numbers to fractions.

Then your initial equation becomes: 27/4 x 2/3

then applying the " formula for multiplication", 27 x 2

                                                                                 4 x 3

would equal = 54/12

Simplifying 54/12, the answer is 4 1/2

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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Answer:

32.99

Step-by-step explanation:

59.98(45%)=26.99

59.98-26.99=32.99

Answer:

$32.99, the discount took off $26.99.

Step-by-step explanation:

Good luck!

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

B

Step-by-step explanation:

Answer:

\( = 4 - 12x \\ \)

Answer C is correct.

Step-by-step explanation:

\( - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x\)

hope this helps you.

Step-by-step explanation:

Pick any point on the graph below for a solution:

The value of x and y is 1 and 8 respectively in given linear equations

First-degree polynomials are defined as the sum of a group of terms, where each term is the product of a constant and the first power of a variable. This is referred to as a linear equation and is also known as a constant-equivalent equation.

Aolve system of linear equations,

-x+y=7

6x+y=14

given

-x+y=7⇒(1)

6x+y=14⇒(2)

change the signs of equ(2) we get -6x-y=-14

solve the equ by substitution method y will be eliminated so we get x=1

Then put x = 1 in equ(2)we get

y = 8

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According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

Step-by-step explanation:

7(10)-7(3x)

80-21x

Answer:

70+21x

Step-by-step explanation:

multiply the number  that outside on the (    ) for the numbers that are in side

Answer:

$30.40

Step-by-step explanation:

to find out how much 20 candy bars would cost, first, we have to find out how much 1 candy bar costs. we do this by dividing $19.76 by 13.

$19.76 ÷ 13 = $1.52

so now we know that one candy bar costs $1.52. now, we multiply this value to 20, to know how much 20 candy bars cost. therefore, we get:

20 × $1.52 = $30.40

Answer: \(y=x-9\)

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

\(x=y+9\)

Now solve for y

Step 1: Flip the equation.

\(y+9=x\)

Step 2: Subtract 9 from both sides.

\(y+9-9=x-9\\y=x-9\)

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

LQ = 54

Median = 69

UQ = 94

Step-by-step explanation:

This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do \(\frac{n+1}{2}\), where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply \(\frac{n+1}{4}\), so 2, so the lower quartile is 54. The upper quartile is \(\frac{n+1}{2} X 3\), so 6, so the upper quartile is 94.

Answer:

21.36 meters

Step-by-step explanation:

Given

\(h = 37m\)

\(\theta = 60^o\)

Required

The distance from the base (b)

The question illustrates right-angled triangle (see attachment)

To solve for (b), we make use of tangent formula

\(\tan(60)=\frac{h}{b}\)

Make b the subject

\(b =\frac{h}{\tan(60)}\)

So:

\(b =\frac{37}{\tan(60)}\)

\(b =\frac{37}{1.7321}\)

\(b =21.36\)

The complete statement is:

This can be rewritten as _f(x)_ = 3x - 2, since y can be replaced with _f(x)__.

A general relation is written as:

y = something that depends of x.

This is a relation that relates the variable y with the variable x, where we define x as the input and y as the output.

If this is a function, we can use the notation:

y = f(x).

(or any letter of x, f(x) is the most common notation used)

in this case, we have:

y = 3x - 2

And in function notation, this will be writen as:

f(x) = 3x - 2

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Answer:

The Answer is A. $107.25

Step-by-step explanation: