Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answer:

hi, there is no variable

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Answer:

x=12

Step-by-step explanation:

30/25=x/10

x=30×10/25

x=12

Answer:

1= 37

2= 37

3= 37

4= 37

5= 106

Step-by-step explanation:

So she lost 20% of the original selling price.

$64 is 80% of the original price.

64/80=0.8

0.8·100=80 dollars. HOPE THIS HELPS!!!

Answer:

Step-by-step explanation:

Answer:14 x b???

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

3(x - 6) = - 15 + 3x ← distribute parenthesis on left side

3x - 18 = - 15 + 3x ( add 18 to both sides )

3x = 3 + 3x ( subtract 3x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

Answer:

[-3,9]

Step-by-step explanation:

you look at the x axis

Answer:

1,178.097245 cm3

Step-by-step explanation:

i think id k tho

Answer:

it is decreasing

Step-by-step explanation:

hope it helps study hard!!!!

Answer:

9/4 pounds of walnut

Step-by-step explanation:

First we divide 11.25/3.75=3 so we would know how many 3/4 pounds are there. Then, we know there are 3-3/4 pounds of walnuts. Mulitply them, you will get 9/4

Answer:

Team sack = 9

Team tackle = 17

Step-by-step explanation:

To start with, we'd assume that

Let x = the points scored by Team Sack

Let x + 8 = the points scored by Team Tackle

x + x + 8 = 26

So, go further and solve mathematically

2x + 8 = 26

if we subtract 8 from both sides, we have

2x = 18

Next, we then divide both sides by 2. So that,

x = 18/2

x = 9

Since we assumed the total points for Team Sack to be x, then Team Sack scored 9 points while Team Tackle scored x + 8 points, and that is 17

Answer:

She drove 12 hours

5+4+3=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

6) 3750

7) 244

Answer:

-8 and 7 is the answer

-8*7 is -56

and -8+7 is -1

Answer:

WXY = 90

XZY = 45

YXZ = 45

WRZ = 90

XWY = 45

Answer: Its c

Step-by-step explanation:

Plz give brainliest

Answer:

z = 2.12

Step-by-step explanation:

4.62 +3 - 3.6z = 0

7.62 - 3.6z = 0

-3.6z = -7.62

z = 2.12

Answer:

mean: 14

median: 13.5

range: 8

Step-by-step explanation:

Hope this helps! Sorry if I am late.

Answer:

B

Step-by-step explanation:

For this problem, you would only need to figure one of them out since all the numbers vary. I calculated the mean. Mean is the same as the average. First, add all the numbers up. I got 112. Then, divide 112 by the amount of numbers you added (8). 112/8 is 14, and the mean=14 is b.

Answer:

100°

Step-by-step explanation:

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

Answer:

7^5

Step-by-step explanation:

Answer:

32.34 meters

Step-by-step explanation:

All you need to do is label the rectangle with the information given. 9.35 for width, and 6.82 for length.

Next, just fill in the other sides and add. Because it's a rectangle, then you should be able tp label the blank sides.

Next, just add all the sides together and then you'll get your perimeter!                                                    

                                9.35 + 9.35+ 6.82 + 6.82= 32.34

Answer:

79

Step-by-step explanation:

Given the expression

x + 1/x = 9

Square both sides

(x + 1/x)^2 = 9^2

x^2 + 2x(1/x)+ (1/x)^2 = 81

x^2 + 2 + 1/x^2 = 81

x^2+1/x^2+2 = 81

x^2+1/x^2 = 81-2

x^2+1/x^2+ = 79

Hence the value of x^2+1/x^2 is 79

Answer:

sin A = perpendicular /hypotenuse

=36/27=12/9=4/3

Answer:

Its C.

Step-by-step explanation:

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

Answer:

10

Step-by-step explanation: