Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3

Answer:

Let's approach this step by step.

First, reflect D across line l.

From there, reflect that image across line m.

Your final image should be the letter D.

Check out the image provided.

Hope this helped someone!

Step-by-step explanation:

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The expression for the total number of miles Maria drove in two weeks is 231 + k miles.

In order to find the total number of miles Maria drove in two weeks, we first need to find the sum of the miles she drove last week and the miles she drove this week.

Last week, Maria drove 231 miles.

This week, she drove k miles.

Therefore, the expression for the total number of miles she drove in two weeks is 231 + k miles.

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Final answer:

To convert 4,305.6 grams to kilograms, divide the gram value by 1000, resulting in 4.3056 kilograms, since there are 1000 grams in a kilogram.

Explanation:

The question asks to convert the weight of a rabbit from grams to kilograms. To perform this conversion, we need to know that 1 kilogram is equal to 1000 grams. Thus, we can convert the rabbit's weight by dividing the total grams by 1000 to get the weight in kilograms.

The rabbit weighed 4,305.6 grams. To convert this to kilograms, we divide by 1000:

Thus, the weight of the rabbit is 4.3056 kilograms.

Answer:

cosF = [tex]\frac{3}{5}[/tex] is the answer.

Step-by-step explanation:

In a right angle triangle cosine of any angle = [tex]\frac{Base}{Hypotenuse}[/tex]

In the given triangle base or adjacent side of the angle is = 6

Hypotenuse given as 10

So by putting the values of hypotenuse and base in the formula

∠F = [tex]\frac{6}{10}=\frac{3}{5}[/tex]

Therefore cosine of angle [tex]cosF=\frac{3}{5}[/tex] is the answer.

Answer:

the answer is 4 and 2

Step-by-step explanation:

Answer:

1= 45
2= 135

Step-by-step explanation:

(did it on usatp)

The solution of the equation 5 -2 (4a + 1) + 3a = 13 is 2/3.

An equation is an expression that indicates the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the equation as follows;

5 -2 (4a + 1) + 3a = 13

Therefore, solving the equation

3(4a+1)+3a=13

12a+3+3a=13

15a+3=13

15a=10

a=2/3

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The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

The domain of f is the range of f -1 and the range of f is the domain of f -1.

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

Answer:NAME:     Nzube Erobu        DATE: 02/ 06 / 2020

Step-by-step explanation: With reference to the attached document, below:

1) False, the lines linking between TR and SV are diagonals

2) True,  ∠RVT = ∠ STV because they have the same right angled triangles.

3) True, because they separate triangles that have all angles in each triangle summing up to 180°  

4) (11 + 3)/2 = 14/2= 7

7) (15x - 5)° + (90 - 4x)° = 180°

(15x - 4x + 90 - 5)° = 180°

( x + 85)° = 180°

∴ x = 180° - 85° = 95°

8) (2x - 7)° + 117° = 180°

2x° +117° - 7° = 180°

2x° + 110° = 180°

2x = 180° - 110°

∴ x = 70°/2 = 35°

9) 4x - 1 + 6x + 11 = 60

4x + 6x + 11 -1 = 60

10x + 10 = 60

10x = 60 - 10 = 50

∴ x = 50/10 = 5

10) 18x + 19 - (10x + 3)  = 11

       18x - 10x + 19 - 3 = 11

8x + 16 = 11

8x = 11 - 16 = - 5

∴ x = - 5/8

11) 2x + 1 + 3x - 3 = 8

2x + 3x  - 3 + 1 = 8

5x - 2 = 8

5x = 8 + 2= 10

∴ x = 10/5 = 2

The group rents 11 one-person tubes and 4 cooler tubes and the two system of equations are:

x + y = 15

20x + 12.5y = 270

And the solution: x = 11, y = 4.

Define Variables:

x = number of one-person tubes rented

y = number of cooler tubes rented

Translate information into equations:

Total tubes: The group rents a total of 15 tubes. Translate this into an equation:

x + y = 15

Cost: Each one-person tube costs $20 and each cooler tube costs $12.50. Use these known costs to represent the total cost:

20x + 12.5y = 270

System of Equations:

x + y = 15

20x + 12.5y = 270

Solving for x and y:

Elimination

Multiply the first equation by -12.5:

-12.5x - 12.5y = -187.5

Add the top and bottom equations:

7.5x = 82.5

Divide both sides by 7.5:

x = 11

Substitute the value of x back into the first equation to solve for y:

11 + y = 15

y = 4

The group rents 11 one-person tubes and 4 cooler tubes.

Therefore, the two system of equations are:

x + y = 15

20x + 12.5y = 270

And the solution: x = 11, y = 4.

Complete question:

A company that offers tubing trips down a river rents tubes for a person to use and “cooler” tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use x to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. a one person tube costs $20 and a cooler tube costs $12.50 How many of each type of tube does the group rent? what are the two system of equations?

The system of equations representing the situation is x + y = 15 and 20x + 12.50y = 270. The group rents 11 one-person tubes and 4 cooler tubes.

Let's denote:

x as the number of one-person tubes rented

y as the number of cooler tubes rented

Given:

The cost of renting one-person tube is $20

The cost of renting a cooler tube is $12.50

The total amount spent by the group is $270

We can set up the following system of linear equations to represent the situation:

The total number of tubes rented:

x (number of one-person tubes) + y (number of cooler tubes) = 15 (total tubes)

The total cost spent:

20x (cost of one-person tube) + 12.50y (cost of cooler tube) = 270

So, the system of equations is:

x + y = 15

20x + 12.50y = 270

To find the number of each type of tube rented, we can solve this system of equations.

Now, let's solve this system of equations:

From equation 1, we can express x in terms of y:

x = 15 - y

Substitute this expression for x into equation 2:

20(15 - y) + 12.50y = 270

Now, solve for y:

300 - 20y + 12.50y = 270

-7.50y = -30

y = 4

Now that we have found y, let's substitute it back into equation 1 to find x:

x = 15 - 4

x = 11

So, the group rents 11 one-person tubes and 4 cooler tubes.

Complete Question:

A company that offers tubing trips down a river rents tubes for a person to use and "cooler' tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Usex to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. How many of each type of tube does the group rent?

1 Person Tube = $20, Cooler Tube = $12.50.

The system of equations is ___ and ___.

The group rents ___ one-person tubes and _____ cooler tubes.

Final answer:

The number of adult tickets sold for the school play was 92, found by setting up an equation where the number of adult tickets plus twice the number of adult tickets equals the total of 276 tickets sold.

Explanation:

Calculating the Number of Adult Tickets Sold

The student is asked to find out how many adult tickets were sold for the school play, given that a total of 276 tickets were sold and the number of student tickets was two times the number of adult tickets sold. Let's denote the number of adult tickets as x and the number of student tickets as 2x. The total number of tickets is the sum of adult and student tickets which can be represented as:

x + 2x = 276

Combining like terms, we get:

3x = 276

To find the value of x, we divide both sides by 3:

x = 276 / 3

x = 92

Therefore, the number of adult tickets sold was 92.

The number of students enrolled at the school is 540.

A survey asks 48 randomly chosen students if they plan to buy a school newspaper this week. Of the 48 surveyed, 32 plan to buy a school newspaper. If 360 students bought papers, predict the number of students enrolled at the school. To solve this, we use a proportion based on the survey results to predict the total enrollment. The proportion of students who plan to buy the newspaper based on the survey is 32 out of 48, which simplifies to 2 out of 3 when reduced. If 360 students actually bought the paper, and assuming the proportion holds for the entire school, we can set up the equation:

2/3 = 360 / total students

To find the total number of students, solve for 'total students':

total students = 360 × 3 / 2

total students = 540

Therefore, based on the survey results and the actual number of newspapers bought, we can predict there are 540 students enrolled at the school.

The value of 28-(8+4). (4-2) is 4

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

28-(8+4). (4-2)

=28-(32-16+16-8)

=28-24

=4

Therefore, the value of the algebra will be 4

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To simplify 28-(8+4)·(4-2), calculate the operations within the parentheses first, resulting in 28-12·2. Multiplying 12 by 2 gives 24, and subtracting this from 28 yields the simplified answer, which is 4.

The question requires us to simplify the expression 28-(8+4)·(4-2). We start by simplifying the operations inside the parentheses:

Next, we multiply the results from the parentheses:

Lastly, we subtract this value from 28:

Therefore, the simplified expression is 4.

Final answer:

The solution to the equation 8x-2/9 = 2/1 is obtained by multiplying both sides by 9, adding 2 to both sides, dividing by 72, and simplifying the fraction to get x = 5/18.

Explanation:

To solve the equation 8x-2/9 = 2/1, we first want to isolate the variable x. Here are the steps to do this:

Multiply both sides of the equation by 9 to eliminate the denominator on the left side, which gives us 72x - 2 = 18.

Add 2 to both sides to get 72x = 20.

Divide both sides by 72 to solve for x, resulting in x = 20/72.

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. The solution in simplest form is x = 5/18.

Answer:

(2,4)

Step-by-step explanation:

Fraction of household owning pets = [tex] \frac{2}{5} [/tex]

[tex] Fraction \; of \; household \; owning \; cats \; \\\\=\; \frac{1}{3} \; of\; Fraction \; of\; household\; owning \; pets \\\\=\frac{1}{3} \times\frac{2}{5} \\ \\Multiply \; numerator\; with\; numerator\; and\; denominator\; with\; denominator\\\\= \frac{1 \times 2}{3 \times 5}= \frac{2}{15} [/tex]

Conclusion:

The fraction of the household own cats is two-fifteenth

Answer:

The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Among the given options, the trail which is shorter than 7/12 is 3/8

From the question, we are to determine which trail is shorter than 7/12

To determine which of the given fractions is shorter than 7/12, we will express all the fractions in a common denominator

The given fraction are

3/8, 5/6, 3/4, 2/3

Using a common denominator of 48,

7/12 = 28/48

For the given options,

3/8 = 18/48

5/6 = 40/48

3/4 = 36/48

2/3 = 32/ 48

Now, we will compare their numerators. The fraction which has a numerator that is smaller than the numerator in 28/48 is the fraction smaller than 7/12.

Among the fraction, 18 is the smallest of the numerators and it is lesser than 28.

18/48 corresponds to 3/8

Hence, the trail which is shorter than 7/12 is 3/8

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Answer:

Option C is correct

[tex]x^2+x = 306[/tex]

Step-by-step explanation:

Let the consecutive page number be  x and x+1

As per the statement:

A book is opened, and the PRODUCT of the two visible page numbers is found to be 306.

" PRODUCT of the two visible page numbers" translated to x(x+1)

then;

[tex]x(x+1) = 306[/tex]

Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

then;

[tex]x^2+x = 306[/tex]

Therefore, the equation which correctly represents this situation is [tex]x^2+x = 306[/tex]

Answer:

Step-by-step explanation:

13/40 as a decimal  =  0.325

         0.325

40√ _ 130

          120

           _100

               80

                _200

                   200

13/40 as percent

13/40 x 100% = 0.325 x 100% = 32.5%