Answer:
can you provide a picture or an equation?
Step-by-step explanation:
Answer:
the area of the trapezoid is 32
Step-by-step explanation:
a (base)2
b (Base)6
h (height)8
Ok so assuming the board only has 4 spaces to land on (A,B,C,D) all we need to do is weight the probability,
1/4 x 1/4 x 1/4 x 1/4 x 1/4 = 1/1024
To solve I put the number of favorable outcomes over the number of total outcomes, in this case we had 1 favorable outcome each time and a constant of 4 possible outcomes.
Answer:
3 pennies, 9 nickels, and 6 dimes
Step-by-step explanation:
We have three conditions:
(1) p + n + d = 18
(2) 0.01p + 0.05n + 0.10d = 1.08
(3) d = 2p
Multiply (2) by 100 and rearrange (3) to get a standard array.
(4) p + n + d = 18
(5) p + 5n + 10d = 108
(6) -2p + d = 0
Subtract (4) from (5). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(6) -2p + d = 0
Multiply (4) by 2 and add to (6). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(8) 2n + 3d = 36
Double (8) and subtract from (7). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(9) 3d = 18
Divide (9) by 3. This gives
(10) d = 6
Substitute (10) into (7). This gives
4n + 9(6) = 90
4n + 54 = 90
4n = 36
(11) n = 9
Substitute (10) and (11) into (4). This gives
p + 9 + 6 = 18
p + 15 = 18
p = 3
Sasha has 3 pennies, 9 nickels, and 6 dimes.
Refer to the attached image.
Let the width of the border be 'x' inch.
Area of border = Area of rectangle ABCD - Area of rectangle PQRS
Area of rectangle ABCD = 
= 
= 
square units.
Area of rectangle PQRS = 
= 
= 117 square units.
So, area of border = 
As it is given that the area of border is 48 square units.
So, 
So, the complete equation is .
Now, we will find 'x' in the equation 
,
(x-1) (x+12)=0
So, x = 1 or x = -12
Width can'not be negative.
So, x = 1 .
Therefore, the width of the border can'not be 2.5 inch.
Therefore, the width of the border is 1 inch.
