What's the answer to 2+{8-2[32+5(1+2)]}

Domain and Range of the function are  [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.  

Explanation:

Given: The function [tex]m=30-3r[/tex] represents the amount [tex]m[/tex] (in dollars) of money you have after renting [tex]r[/tex] video games.

According to question,

Function is  [tex]m=30-3r[/tex].

Domain of function is calculated as [tex]30-3r=0[/tex]

                                                                 [tex]-3r=-30\\[/tex]

                                                                     [tex]r=\frac{-30}{-3} \\r=10[/tex]

Domain of function is [tex][0, 10][/tex].

Now, range of the function is the value which is dependent variable on domain of the function.

Range of the function is [tex][0,30][/tex].

Here, The given function  [tex]m=30-3r[/tex] is discrete because the values of  [tex]r[/tex] and [tex]m[/tex] cannot take every value in the number line.

Therefore, Domain and Range of the function are  [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.  

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Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.

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If each building in the apartment complex has 4 three-bedroom units and they build 50 buildings, there would be 200 three-bedroom apartments total.

To answer how many 3-bedroom apartments would be in the complex if they built 50 buildings, start by considering the number of 3-bedroom apartments in one building. You've advised that this number is 4. Thus, to find the total number of 3-bedroom apartments in 50 buildings, you would multiply 4 (the number of 3-bedroom apartments per building) by 50 (the number of buildings). This calculation yields: 4 * 50 = 200. So, there would be 200 three-bedroom apartments in the complex if 50 buildings were constructed.

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Answer:

B. A point is a location, and a line has many points located on it.

Step-by-step explanation:

Let us say that:

x = number of students who are members.

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

$11x + $13(19-x) = $209

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

4x+26 = 12x-38

4x+64=12x

64 = 8x

x = 64/8 = 8

x = 8

Emily's scooter riding speed is 0.36 miles per minute. Multiplying this rate by 120, the number of minutes in 2 hours, we find that she would be able to travel a distance of 43.2 miles in 2 hours.

To answer your question, we first need to find what Emily's speed is. That's how fast she's going. We know that Emily can ride her scooter 18 miles in 50 minutes. So, her speed is 18 miles/50 minutes. When we calculate this, it comes out to be 0.36 miles per minute.

The problem wants us to determine how far Emily can ride in 2 hours if she continues at this same speed. Since there are 120 minutes in 2 hours, we have to multiply her rate by 120.

Doing the multiplication: 0.36 miles/minute * 120 minutes = 43.2 miles. So, Emily could travel 43.2 miles in 2 hours at the same rate.

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Answer: No solution

Step-by-step explanation: We can start this problem in the usual way by setting up our three consecutive odd integers as followed.

X ⇒ first integer

X + 2 ⇒ second integer

X + 4 ⇒ third integer

X + (X + 2) + (X + 4) = 36

3x + 6 = 36

      -6    -6

3x = 30

÷3   ÷3

X = 10

Notice however that 10 is an even number and in the original problem, we are asked to find odd integers. Even though we can work this problem all the way through, we say that this answer doesn't make sense so we say there is no solution.

To order 0.14, 1/8, and 1.9% from least to greatest, we first convert them all to decimal form, which gives us 0.14, 0.125, and 0.019 respectively. The ordered list from least to greatest is 1.9%, 1/8, 0.14.

The question requires ordering the numbers 0.14, 1/8, and 1.9% from least to greatest. First, we convert all numbers to decimal form: 0.14 remains the same, 1/8 is equivalent to 0.125, and 1.9% is the same as 0.019 when converted to decimal form. Now, we have 0.14, 0.125, and 0.019. Ordering these decimals from least to greatest, we get 0.019, 0.125, and 0.14.

Therefore, when ordered from least to greatest, 1.9%, 1/8, and 0.14 become 1.9%, 1/8, and 0.14 respectively.

Answer:

Step-by-step explanation:

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Final answer:

To find the greatest possible room sales on the cruise ship, multiply the number of rooms on each deck by their respective prices and add the totals, resulting in a maximum possible sale of $143,200 for one trip.

Explanation:

The question involves finding the greatest possible room sales on a cruise ship during one trip. There are a total of 148 rooms, with fifty rooms on each of the two upper decks, totaling 100 upper deck rooms. The remaining 48 rooms are therefore on the two lower decks. Since an upper deck room costs $1,000 and a lower deck room costs $900, the greatest possible room sales can be calculated by assuming all rooms are occupied during a trip.

The total sales from the upper deck rooms would be 100 rooms × $1,000, which equals $100,000. The sales from the lower deck rooms would be 48 rooms × $900, which equals $43,200. Therefore, the greatest possible room sales on one trip would be the sum of the upper and lower deck sales:

Adding these together yields a total of $100,000 + $43,200 = $143,200 for the greatest possible room sales on one trip.

Lindsey buys 15 grapes, and then she adds 7 more. She decided to go back to the store and buy 3 times as many.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Write a word problem for an expression that is three times as great as (15+7).

Lindsey purchases 15 grapes, then she purchases an additional 7. She made the decision to return to the store and purchase three more.

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Answer:

The fraction taken away from 17 is [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The simplest way to solve this word problem is to set to equations equal to one another and solve the missing fraction.

The one side of the equation is 17 subtracted by an unknown fraction.

The other side is one third of seventeen added to 6.

[tex]17-x=\frac{1}{3}(17)+6\\x=17-6-\frac{1}{3}(17)\\x=11-\frac{17}{3} \\x=\frac{33}{3} -\frac{17}{3}\\x=\frac{16}{3}[/tex]

Answer:  315  chairs had to be arranged .

Step-by-step explanation:

Given : Mrs. Jenkins  was arranging chairs for a school awards assembly.

Number of chairs in each row = 15

Then by using MULTIPLICATION OPERATION, the number of chairs in 21 rows :-

[tex]15\times21=315[/tex]

Therefore, the total number of chairs had to be arranged =315

Final answer:

To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.

Explanation:

The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:

Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.

The inequality becomes: -15 ≤ 9 + 12B.

Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.

Divide both sides by 12 to solve for b: b ≥ -2.

Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.