Answer:
x = -3, y = -1
Step-by-step explanation:
Solve by substitution:
First make the second equation in terms of y:
y = -x-4
Next, since we found what y is, plug it into the first equation and solve for x:
-3x + 5(-x-4) = 4 Plug in
-3x - 5x - 20 = 4 Distribute
-8x - 20 = 4 Simplify
-8x = 24
x = -3
We have found that x = -3. To find y we need to plug x back into any of the equations. Let's do equation #2.
(-3) + y = -4 Plug in
y = -1 Simplify
So, y = -1 and x = -3. Let's check this in the first equation to make sure it is correct:
-3(-3)+ 5(-1) = 4 Plug in
9 + (-5) = 4 Simplify
9 - 5 = 4
4 = 4
Since both sides are equal that means we are correct!
Hope this helps!!
Using proportion...
length of barn length of tree
-------------------------------- = --------------------------------
length of barn's shadow length of tree's shadow
20 x
---- = ---
12 8
Using cross-multiplication...
20 x 8 = 12x
160 = 12x
x = 13 1/3 or 13.3333
The tree is 13 1/3 meters long.
Answer:
The Answer is: 25 two bedroom homes and 33 three bedroom homes.
Step-by-step explanation:
Let t = two bedroom homes and th = three bedroom homes.
The number of each time by the charges is equal to the total gross recepts:
67.95t + 82.25th = 4413.00
There were 8 more three bedroom than two bedroom:
th = t + 8
By substitution:
67.95t + 82.25(t + 8) = 4413
67.95t + 82.25t + 658 = 4413
150.20t = 4413 - 658
150.20t = 3755
t = 3755 / 150.20 = 25 two bedroom homes.
th = t + 8 = 25 + 8 = 33 three bedroom homes
Proof:
67.95(25) + 82.25(33) = 4413
1698.75 + 2714.25 = 4413
4413 = 4413
Answer:
8.75 cups of noodles will be covered.
Step-by-step explanation:
<h2>Answer: √(x + 8) / 2 is the inverse of y = 2x2 - 8.</h2>
<h2>mark me as brainliest</h2>
