Answer:
$1470
Step-by-step explanation:
sneakers : boots
15 : 19
15 cost sneakers
------ = -------------------
19 570
using cross products
15 * 570 = 19 * sneakers
8550=19 * sneakers
divide by 19
8550/19 = sneakers
sneakers = 450
total cost = 2* sneakers + boot
total cost = 2 * 450 + 570
total cost = 900 + 570
total cost = 1470
Answer: nina is getting $15 for 1 lawn.
Step-by-step explanation:
1 $15
2 $30
3 $45
4 $60
The area of the triangle below is 7.5 units
Answer:
4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6−4x=6x−8x−2
6+−4x=6x+−8x+−2
−4x+6=(6x+−8x)+(−2)(Combine Like Terms)
−4x+6=−2x+−2
−4x+6=−2x−2
Step 2: Add 2x to both sides.
−4x+6+2x=−2x−2+2x
−2x+6=−2
Step 3: Subtract 6 from both sides.
−2x+6−6=−2−6
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
here is a link:
https://www.mathpapa.com/algebra-calculator.html?q=6-4x%3D6x-8x-2.
For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
