What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Answer:  448 dollars

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Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

Use those values to get the simple interest to be

i = P*r*t

i = 400*0.12*1

i = 48

The amount of interest charged is $48

Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

add the 3 distances

Step-by-step explanation:

58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3

Answer:

10 hours

Step-by-step explanation:

24kg dough/6 hours = 4kg dough/hour

4kg dough / 1 hour

*10                *10        (multiply both sides by 10)

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

40kg dough/10hrs

Answer:

9 Hours

Step-by-step explanation:

If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.

Answer:

6 hot dogs, 2 drinks

Step-by-step explanation:

let y = number of hot dogs

let x = number of drinks

system:

y = 3x

4.5y + 2.25x = 31.50   (standard form:  y = -1/2x + 7)

if you graph the system, lines intersect at (2, 6)

Answer:

y=1/3 x

y=-2x+14

(6,2)

6 hotdogs  and 2 drinks

Step-by-step explanation:

:)

Answer:

Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.

Step-by-step explanation:

Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)

Answer:

[tex]W = 16[/tex]

[tex]T = 67[/tex]

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

[tex]T = 3 + 4 * W[/tex]

[tex]2 * W + T = 99[/tex]

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

[tex]2*W + 3 + 4 * W = 99[/tex]

[tex]2W + 3 + 4 W = 99[/tex]

Collect Like Terms

[tex]2W + 4 W = 99 - 3[/tex]

[tex]6W = 96[/tex]

Divide through by 6

[tex]W =\frac{96}{6}[/tex]

[tex]W = 16[/tex]

Hence, each wreath costs $16

Solving (b): Cost of T

[tex]T = 3 + 4 * W[/tex]

Substitute 16 for W

[tex]T = 3 + 4 * 16[/tex]

[tex]T = 3 + 64[/tex]

[tex]T = 67[/tex]

Hence, each tree costs $67

Answer:

The length of the triangle is 3x given

The no of sides is 3x 3x 3x so 3x+3x+3x= 180

9x=180 x= 20

3x =3*20=60

3x=3*20=60

3x=3*20=60

Answer:

310

Step-by-step explanation:

65 x 5

Answer: it doesn’t make sense why you have random numbers underneath that inequality sentence. But if anything it would look like 6+2 < 9+3

Step-by-step explanation:

This < equals less than, or more than depending on what number it’s facing. Think of it as an alligator that eating the specific number (or larger number bc its hungry) so whatever the open side is facing is a more than but the number the closed side is facing is less than.

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

Answer:

Lucky you I am taking Algebra 2 right now. Whats ur question??

Step-by-step explanation:

Answer:

(B). 12.9 cm²

Step-by-step explanation:

a = 8 cm , b = 5 cm , c ≈ 12.259 cm

P = 25.259 , s = P/2 ≈ 12.63

[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²

Answer:

the probability is 6/13

Answer:

16

Step-by-step explanation:

3 x -2^2 + 4 x -2 + 12

first do exponents -2 x -2 = 4

3 x 4 + 4 x -2 + 12

Next do multiplication or division from left to right

12 - 8 + 12

now do subtraction or addition from left to right

4 + 12

16

Answer:

Angle

Step-by-step explanation:

Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!

Answer: The slope is −2/3

Step-by-step explanation:

2 x + 3 y = 12  is the standard form for a linear equation. To determine the slope, solve the equation for  y  in order to convert to the slope-intercept form  y = m x + b , where  m  is the slope and  b  is the y-intercept.

2 x + 3 y = 12  

Subtract  2 x  from both sides.

3 y = − 2 x + 12

Divide both sides by  

3 . y = − 2 /3 x + 12 /3 =

y = − 2 /3 x + 4

The slope is  

− 2 /3

Answer:

6 LB 12 OZ

Step-by-step explanation:

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Answer:

6lb 8oz

Step-by-step explanation:

9lb 4oz

+16

8lb 20 oz

-2 lb 12oz =

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

Explanation:

Let's say we have the following code names for each shape

We have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions

Some permutations have C and S together, while others do not.

Example of them together: CSTP

Example of them separated: CTSP

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

Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.

Let's call this new shape "polygon" and define it as

L = polygon

The codename L is just a placeholder for CS or SC.

So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}

No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.

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

There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.

So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.

Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.

Answer:

0.42124

Step-by-step explanation:

Manufacturing job :

Mean (m) = 40,000

Standard deviation (s) = 9000

Sales job :

Mean (m) = 35000

Standard deviation (s) = 9000

Probability of earning more than 45000 if one or the other job is selected;

Obtaining the standardized scores and probability for each :

Z = (x - m) / s

P(x > 45000)

Z = (45000 - 40000) / 9000 = 0.5555

= 0.56

P(Z > 0.56) = 0.28774(Z probability calculator)

For sales :

P(x > 45000)

Z = (45000 - 35000) / 9000 = 1.1111111

= 1.11

P(Z > 1.11) = 0.1335 (Z probability calculator)

0.28774 + 0.1335 = 0.42124

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

Answer:

K = 56

Step-by-step explanation:

Subtract 9

k/2 = 28

multiply by 2

k = 56

Answer:

5 x 6

Step-by-step explanation:

Answer:

7.9

Step-by-step explanation:

Answer:

The answer is the last option (d.)

Step-by-step explanation:

The domain is the X values and the range is the Y values.

Answer:

Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}

Step-by-step explanation:

I took the test and it was correct.

Answer:

y = [tex]\frac{5}{-6}[/tex]x + 2

Step-by-step explanation:

Given coordinates: (6,-3) (0,2)

y = mx + b

y = mx + 2

[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]

y = [tex]\frac{5}{-6}[/tex]x + 2