Answer:
x=-3
y=3
Step-by-step explanation:
-27=-9x-18y equation 1
-5y-10x-15=0 equation 2
using equation 2 we have:
-10x -15 =5y
y= -2x -3 equation 3
using equation 3 in equation 1 we have:
-27=-9x-18(-2x -3)
-27= -9x +36x +54
-27-54 =27x
-81 = 27x
so we have:
x= -81/27
x=-3
y= -2(-3) -3
y= 6-3
y = 3
Answer:
6 19/24
Step-by-step explanation:
First, we make the denomanators the same
2 16/24 + 4 3/24
Next, we add
6 19/24
We can't symplify so that's the answer
9514 1404 393
Answer:
13 cm wide; 15 cm long
Step-by-step explanation:
Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...
w(w+2) -(w-1)(w+1) = 27
w^2 +2w -(w^2 -1) = 27
2w +1 = 27
w = (27-1)/2 = 13
The original piece of cardboard was 13 cm wide and 15 cm long.
Answer:
1/12
Step-by-step explanation:
Let’s list out cases:
1+1:
Probability of getting 1 and 1 is (1/6)^2 = 1/36
1+2:
Probabilty of getting 1 and 2 is (1/6)^2 = 1/36 and getting 2 and 1 is (1/6)^2 = 1/36.
That is all of the cases because 1+3 and 2+2 are equal to 4. Summing it up, we get: 3(1/36) = 1/12
