Find the surface area of the prism.

Answer:

86 ft

Step-by-step explanation:

First method: Logical thinking

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

Second method: Calculate a distance in math

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

Answer:

3x + y

Step-by-step explanation:

combine like terms

-3x + 6x = 3x

2y - y = y

Final Answer: 3x + y

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

Answer: 25° and 65°

Step-by-step explanation:

Let the smaller angle of the complementary angle be represented by x.

Since the other angle is 15 degree more than two times the other angle, this will be:

= (2 × x) + 15°

= 2x + 15°.

Then we add both angles together and equate them to 90° and this will be:

x + 2x + 15° = 90°

3x + 15° = 90°

3x = 90° - 15°

3x = 75°

x = 75°/3

x = 25°

Then the other angle will be:

= 2x + 15°

= (2 × 25°) + 15°

= 50° + 15°

= 65°

Therefore, the angles are 25° and 65°.

Answer:

Here we want to solve the equation:

"2, minus, 10, plus, 8, minus, left parenthesis, minus, 2, right parenthesis."

This can be written as:

2 - 10 + 8 - (-2)

Remember that we can solve this in any order we want, so let's go from left to right:

So we can solve first:

( 2 - 10) + 8 - (-2)

We know that:

2 - 10 = -8

Then we can replace that in the expression to get:

( 2 - 10) + 8 - (-2)  = -8 + 8 -(-2)

Now we can solve:

(-8 + 8) - (-2)

We know that:

-8 + 8 = 0        

Replacing that in the equation we get:

(-8 + 8) - (-2)    = 0 - (-2) = -(-2)

And now we can remember the rule of the signs:

(+)*(+) = (+)

(-)*(-) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

Then:

-(-2) = (-1)*(-2) = +(1)*(2) = 2

The solution of the expression is 2.

Answer:

The answer is 2

I checked it on Khan

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

i dont know if your looking for the area but i can help you out on that, and im sooper sorry if this is the wrong answer! Plz forgive me if so!

d,a is 3 and from d to c is 5, 3x5=15, thats the area of the square!!

If you were looking for a different answer plz forgive me you didnt exactly tell us what you were looking for so i kinda just guessed it was area of the square real sorry if this is wrong!!

Answer:

It's bc

Step-by-step explanation:

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

Answer:

A

Step-by-step explanation:

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

Answer:

x=6

Step-by-step explanation:

First, add x to each side.

72=-2x+84

Subtract 84 from each side

-12=-2x

Dive each side by -2

6=x

Answer:

x=6

Step-by-step explanation:

-1x+72=-3x+84

+3x on both sides

2x+72=84

subtract 72 on both sides

2x=12

divide by 2 on both sides

x=6

Answer:

we should prove this or solve only

Step-by-step explanation:

hope it is helpful to you

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

Answer:

9p^3 + 72p^2 - 49p - 392

Step-by-step explanation:

(3p + 7) times (3p - 7) times (p + 8)

(9p^2 - 49) times (p +8)

9p^3 + 72p^2 - 49p - 392

I hope this helps a ton!!

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

Exponential

Step-by-step explanation:

The rate of change is exponential.

Answer:

Grade can make 55 bracelets

Step-by-step explanation:

2640/48 = 55

Answer:

55

Step-by-step explanation:

2640 divided by 48

the answer is 55

Answer:  It's supposed to be A) 13.6 ft

Answer:

4 edges

Step-by-step explanation:

the shape is a cube

Answer: 12

Step-by-step explanation:

Euler’s formula: F + V - E = 2

6 + 8 - E = 2

14 - E = 2

You find E by subtracting 14 with 2

14 - 2 = 12

E = 12

Answer:

200

Step-by-step explanation

100+400=500  BUS

300+400=700 SPORTS

sports-bus

700-500=200

Answer:

300 + 400 = 700

Step-by-step explanation:

Play sports, : 300 + 400 = 700

Don't play,     : 200 + 100 = 300

Answer:

x = 2

Step-by-step explanation:

lines parallel to the y-axis are always vertical and begin with 'x ='

Answer:

x=2

Step-by-step explanation:

Hi there!

A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).

We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).

Therefore, the equation of the line would be x=2.

I hope this helps!

pakii Ayus po

Step-by-step explanation:

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Answer:

Yes, this is equivalent.

Hope this helps!

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

Answer:

Kathleen, a professional golfer, had an average score last season

of 80 points. This season, her average score has been 72 points.

What is the percent of decrease in Kathleen's average score