)) Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax
and left a 20% tip on $480. What was the total cost?

Answer:

1,428 inches cubed

Step-by-step explanation:

This easy, to find a volume of a cube/rectangular prism you just do lengthxwidthxhight

12x7x17=1428

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:

2 good scoops

Step-by-step explanation:

I got you I think

Answer:

no one of them has to be 90 degrees

Step-by-step explanation:

Answer:

no it doesnt

Step-by-step explanation:

Answer:

\(c^3-c^4+2c^5\) \(= c^3 * (1 - c + 2c^2)\)

Step-by-step explanation:

Given

\(c^3-c^4+2c^5\)

Required

Write as product

\(c^3-c^4+2c^5\)

Expand the above expression

\(c^3-c^3*c+2c^3*c^2\)

Factorize:

\(c^3(1 -c+2c^2)\)

The expression in bracket can not be further factorized.

Hence:

\(c^3-c^4+2c^5\) \(= c^3 * (1 - c + 2c^2)\)

b = 6 (option D)

a = 8, c = 10, b = ?

The triangle is right-angled

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

Hypotenuse = c, opposite = b, adjacent = a

10² = b² + 8²

b² = 10²- 8²

b² = 100 - 64

b² = 36

squre root both sides:

b = √36

b = 6 (option D)

Answer:

The cost of renting a car can be represented by the expression:

C = 30m + 0.25m

Where C is the total cost, 30 is the fixed cost per day, and 0.25 is the cost per mile.

Step-by-step explanation:

Answer:

mono sounds like money bino sounds like albino and trino sounds like rhino

Given data:

The given expression is 4 x2/3.

Suppose we have 4 chapati and we ate 2/3 portion of that, so it can be represented as,

Thus, the given expression can be written as 8/3.

Answer:The picture did not load

Step-by-step explanation:Sorry

====================================================

Explanation

Consider three scenarios:

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

Solution :

If \(S_n\) is the total spending generated after n transactions, then \(a_n\) is the spending generated during the n-th transaction. Since the government spends D dollars, then \(a_1\) = D.

Then the second person will receive D dollars and spend \(D_c\) dollars. Therefore, \(a_2=D_c\). The next person will receive \(D_c\) dollars, which means they are spending \(a_3 = (D_c)c = Dc^2\) dollars. Therefore,

\(a_1 = D\)

\(a_2=D_c\)

\(a_3 = Dc^2\)

\(a_4 = (Dc^2)c= Dc^3\)

....

\(a_n=Dc^{n-1}\)

∴ \(S_n=a_1+a_2+a_3+....+a_n\)

  \(S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}\)

  \(S_n= D(1+c+c^2+...+c^{n-1})\)

  \(S-n=D . \frac{1-c^n}{1-c}\)

Answer: 3/2

Step-by-step explanation:

Answer:

3/2 or 1 1/2

Step-by-step explanation:

\(2\frac{1}{4}/1\frac{1}{2} \\\frac{9}{4}/\frac{3}{2} \\(\frac{9}{4})(\frac{2}{3})\\\frac{18}{12} \\\frac{3}{2} or 1\frac{1}{2}\)

The function shown on the graph is a sine function.

In the question, we are asked to identify the function that has been shown in the graph.

A trigonometric function called sin x, where x is the angle under discussion, stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, it is the ratio of the hypotenuse to the side opposite the angle under examination, and its value changes as the angle changes. In the study of physics, sound and light waves are represented by the sine function.

Since sin x is defined for any x in (-∞, ∞) the domain of the sine function is all real integers. As the value of sin x does not exceed this, its range is [-1, 1], in contrast. The sine function's graph resembles an oscillating wave between -1 and 1. Additionally, sin x has a period of 2π since its value repeats every 2π radians. The domain and range of sine function can also be observed via its graph.

The graph shown in the figure satisfies all the conditions of being a sine graph.

Thus, the function shown on the graph is a sine function

.

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The horizontal distance to the base of the object from our current position is approximately 50 meters.

Let's assume that we find out that the height of the object is 50 meters.

Since the object is a right cylindrical cone whose radius equals its height, we know that the angle between PR and QR is 45 degrees (half of 90 degrees).

We can use this information to set up a right triangle with PR as the hypotenuse, PQ as one leg, and QR as the other leg.

We can use trigonometry to solve for PQ, which represents the horizontal distance to the base of the object from our current position.

We know that tan(45) = PQ/50, where PQ is in meters.

Solving for PQ, we get:

PQ = 50 meters x tan(45°) = 50 meters x 1 = 50 meters.

Therefore, the horizontal distance to the base of the object from our current position is approximately 50 meters.

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Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is \((x,y) \to (y,-x)\)

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

Answer:

your answer is going to be 94

Step-by-step explanation:

1×5=5

5+89=94

Answer: 1*5+89 = 94

               The answer is 94

Answer: C/pi=d

Step-by-step explanation: You could think of it like a one or two step equation. For example: 12=3x solve for x. You would do 12/3=4. Same thing here, C=pi*d= C/pi.

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Answer:

The original number is 19

Step-by-step explanation:

Let the original number be x

The above expression is written as

3x - 17 = 40

3x = 40 + 17

3x = 57

Divide both sides by 3

3x / 3 = 57/3

x = 19

Hope this helps you.

Answer:

im not sure either the triple is time with three or power of three

if times three:

3x–17=40

19

if power of three:

x³–17=40

x=

\( \sqrt[3]{57} \)

Answer:

Natalie is 13 years old, while Fred is 28 years old.

Step-by-step explanation:

Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:

N + F = 41

3N + F = 67

(67 - 41) / 2 = N

26/2 = N

13 = N

13 x 3 + F = 67

39 + F = 67

F = 67 - 39

F = 28

28 + 13 = 41

Therefore, Natalie is 13 years old, while Fred is 28 years old.

The option that is an equivalent expression of 15x² +12x + 8 is C. 12x + 15x² + 8.

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same values for the variable, two algebraic expressions that are equivalent have the same values.

If two systems of equations have the same solution, they are equivalents. In algebra, 2(2x - 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.

In this case, it should be noted that 15x² +12x + 8 is the same as 12x + 15x² + 8. Therefore, the correct option is C.

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Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ \(\frac{2}{x+2}\) and remainder is 2

A mathematical depiction of two equal variables, one on either side of a "equals" sign, is called an equation. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.

Here,

Given : synthetic division for

x³ + 3x² + 8x + 14

------------------------

x + 2

Write the problem in synthetic division format

-2  | 1 3 8 14

         -2 -2  

------------------------

     1   1  6

Carry down the leading coefficient, unchanged, to below the division symbol

-2  |    1 3 8 14

           -2 -2

---------------------------

         1  1   6

Multiply the carry - down value by the zero of the denominator, and carry the result up into the next column:

1(-2)=-2

-2 |  1 3 8 14

        -2 - 2

------------------

     1    1   6

=> We get:

As

x² +x+6+ \(\frac{2}{x+2}\)

and remainder is 2

Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ \(\frac{2}{x+2}\) and remainder is 2.

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Answer:

Multiply

Step-by-step explanation:

I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years

Answer:

2.4 and round by the nearest ones place value

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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1.The probability of winning $20 is 1/200.

2.The probability of winning $1500 is 1/7500.

3.The probability of winning $20000 is 1/200000.

4. the probability of not winning anything is 0.9989375

1.The probability of winning $20 is

P(winning) = p(winning chance)/total

                   =1/200.

2.The probability of winning $1500 is

P(winning 1500) = p(winning chance)/total

                           = 1/7500.

3.The probability of winning $20000 is

P(winning) = p(winning chance)/total

                    =1/200000.

4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375

Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.

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we have:

h = hour

the equation is

answer: 3 hours