Answer:
3/5
Step-by-step explanation:
First, multiply both tops and both bottoms so you have one fraction.
Reduce by dividing top and bottom by the same number.
12/20 becomes 3/5 because:
12÷4 =3
20÷4=5
Top and bottom are divided by same "scale factor", 4.
3 and 5 do not have any common factors other than 1, therefore 3/5 is the lowest term.
The probability of randomly picking one of those dishes is <span><span>8</span></span><span> out of </span><span><span>20</span></span><span>, or 8/20. We can simplify that down to 2/5. </span>
Answer:
x=-6
y=-11
Step-by-step explanation:
x-y=-5
7x+3y=-75
x=5+y plug that in to the second equation
7(5+y)+3y=-75
35+7y+3y=-75
10y=-75-35
10y=-110
y=-11
plug y into first equation
x+11=5
x=5-11
x=-6
Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x - 6 = 10
Subtract 10 from each side
x^2 +6x -16 =0
Factor what 2 numbers multiply to -16 and add to 6
8*-2 = -16
8-2 = 6
(x+8) (x-2) =0
Using the zero product property
x+8 =0 x-2 =0
x= -8 x=2
Answer:
29.05 ft
Step-by-step explanation:
Using the concept of pythagoras theorem, here we have the base and hypotenuse given hence we need to find the third dimension, assuming the wall is perfectly straight and forms a right angle with the bsse of the ladder. Here, 
and making a the subject of the formula then 
and substituting 30 ft for c and 0.25*30=7.5 ft for b then 
