Answer:
Step-by-step explanation:
-x + 2y = 6
y = 1/2x + 3
sub 1/2x + 3 in for y, back into the first equation
-x + 2(1/2x + 3) = 6 ....distribute thru the parenthesis
-x + x + 6 = 6
6 = 6
The solution to this equation is infinite solutions
Answer:
k=-8.
Step-by-step explanation:
Step 1: subtract 14 from both sides from "2.25k - 20 =6.5k +14"
Step 2: Subtract 2.25k from both sides from "2.25k-34=6.5k
Step 3: Divide both sides by 4.25 from -34=4.25x
Your answer is k= -8.
It says -8=k.
Answer:
1/3
Step-by-step explanation:
She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon
Answer:
6 inches by 10 1/2 inches by 30 inches
Step-by-step explanation: To find this answer you have to multiply the old dimensions by the scale factor which is 3/4. You would do 8 times 3/4 which is 6 inches. Then 14 inches times 3/4 which is 10 1/2. And then 40 inches times 3/4 and that answer is 30 inches. Those are the new dimensions for the cabinet.
Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15