Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for <em>t</em>
<u>Combine like terms:</u> 3t + 100.5 = 180
<u>Subtract 100.5 on both sides:</u> 3t = 79.5
<u>Divide both sides by 3:</u> t = 26.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180
<u>Parenthesis:</u> 37 + 56 + 90 = 180
<u>Add:</u> 180 = 180
∴ x = 26.5
(x,y)
y=mx+b
m=slope
b=yintercept
slope=7/10
one point is (1,2) or x=1, then y=2
find b
y=7/10x+b
2=7/10(1)+b
2=7/10+b
minus 7/10 both sides
1 and 3/10=b
13/10=b
y=7/10x+13/10
input values for x and get values for y
one point is (0,13/10)
The answer is y = -5.5x - 52.
First, let's find the slope of the line.
m = Δy/Δx
- m = -8 - 3 / -8 - (-10)
- m = -11 / -8 + 10
- m = -11/2
- m = -5.5
Now, substitute the slope and one of the given points in the point slope equation.
<u>y - y₁ = m (x - x₁)</u>
- y - 3 = -5.5 (x - (-10))
- y - 3 = -5.5 (x + 10)
- y - 3 = -5.5x - 55
- y = -5.5x - 52
Answer:
(x−10)(x^2+10x+100)
Explanation:
I talked to my partner, you can call them "G00gle"
Answer:
10 minutes
Step-by-step explanation:
To solve this , we need to first calculate the volume of the rectangular prism. Let’s say this is V.
Mathematically, V = w h l where w, h and l are width , height and length respectively.
V = 20 * 18 * 10 = 3600 in^3
Now to get the number of minutes, we divide the volume by the draining rate.
That would be 3600/360 = 10 minutes
