Find the volume of the trapezoidal prism.
7 in.
6 in.
12 in.
4 in.

Answer:

21:25

Step-by-step explanation:

9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

Answer:

12 books read per student

Step-by-step explanation:

1000 divided by 82 is close to 12

Answer:

12 books

Step-by-step explanation:

Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".

Step 1: Divide 1000 by 82

[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]

Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.

Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number

[tex]12.1951219512 \\= 12[/tex]

Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Three easy steps must be taken in order to express any system of linear equations in matrix form:

1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.

2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.

3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.

Given system of linear equations:

4x - 2y = -7

0x + 3y = 5

The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].

The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].

[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]

The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.

Learn more about matrix here -

https://brainly.com/question/19683437

#SPJ2

Answer:  He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.

Hope this helped!

Please give brainliest!

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

Answer:

$1

Step-by-step explanation:

4 x 5 = 20

20 - 12 = 8

4 x 2 = 8

8/8=1

1/4 = 0.25 is the largest value..

It is right answer....

Answer:

Hi there, mizuki here to answer

The correct answer should be:(-1, -4)

I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])

Step-by-step explanation:

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

Answer:

2912

Step-by-step explanation:

the answer is 2912 toys.....

Answer: hi there is think that I can help you with your problem!

h = -16t^ 2 + 20t + 6     ....the ball will hit the ground when h  = 0

0 = -16t^2  + 20t   + 6      factor

0  = ( -8t  -  2 )  ( 2t  - 3)     set each  factor to 0

-8t  -  2  =  0                                 and                  2t  - 3   = 0

-8t   = 2                                                                 2t   =   3

t  = -2/8  = - 1/4  sec   [reject]                                t  = 3/2 sec  = 1.5 sec

Max ht  will be reached at [ -b / 2a ]    sec    =  -20 / [ 2(-16)]  =  20/32  =  5/8 sec

Step-by-step explanation:  

-16t^2+20t+6 = 0

will give you the times that the ball is on the ground. The negative root accounts for the fact that the ball is 6 feet above ground at t=0.

I get t=3/2 and t=-1/4

-2(2t -3) (4t +1) = 0

2t -3 = 0

2t-3 + 3 = 0 + 3

2t = 3

t = 3/2 second        

I hope that I helped you and have a nice day.

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

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

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

Answer:

2(3x - (-4)) = 6x + 8

Step-by-step explanation:

2(3x - A) = 6x + 8

6x - 2A = 6x + 8

Equating constant terms on both sides :

-2A = 8

A = -4

Therefore, 2(3x - (-4)) = 6x + 8

Answer:

Step-by-step explanation:

2(3x-(-4))=6x+8

2*3x=6x

2*-(-4)=8

Negative times negative makes positive 4

Answer:

Total 390 hardcover books were sold

Step-by-step explanation:

Complete question

The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is  $500. Type in numbers only.

Solution

Given-

Total value of sale of hard cover = $195,000

Cost of one hardcover book = $500

Number of books sold = Total value of sale of hard cover/Cost of one hardcover book

Number of books sold =   $195,000/$500

Number of books sold = 390

Total 390 hardcover books were sold.

Answer:

A, B, C

Step-by-step explanation:

Got it right on khan academy

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

Answer:

D.$76.00

Step-by-step explanation:

Answer:

1 ½ scoops more then white sugar

Answer:

(2,-1) _______________

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.

Answer:

No.

Step-by-step explanation:

Answer:

15 inches tall

Step-by-step explanation:

every 3 inches increased, the width increases by 5.

Answer :

The answer is A.

Answer:

A) 140

Step-by-step explanation:

since angle RA is 40

and angle one seems the same so

<1+<2=140

40+<2=180

-40 -40

<2=140

Answer:

a) 0.1 = 10% probability of a tip of $200 or more.

b) 0.4 = 40% probability of a tip of up to $50.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Distribution:

Total of 500 checks.

200 with tips in the interval of 0-20.

100 with tips in the interval of 20-50.

75 with tips in the interval of 50-100.

75 with tips in the interval of 100-200.

50 with tips of 200 or more.

a) What is the probability of a tip of $200 or more?

50 out of 500. So

[tex]p = \frac{50}{500} = 0.1[/tex]

0.1 = 10% probability of a tip of $200 or more.

b) What is the probability of a tip of up to $50?

200 out of 500. So

[tex]p = \frac{200}{500} = 0.4[/tex]

0.4 = 40% probability of a tip of up to $50.

Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

Answer:

88 degrees

Step-by-step explanation:

Since x and z have the same angel their degrees is the same