The answer is:
x=-8
Because:
If you pick a number(-8) to fill in the equation written below
5x+20+5x=5x-20
After applying the -8 to x you get
-40+20-40=-40-20
When you simply the both sides you get
-60=-60
And that’s right -60 is equal to -60!
Answer:

the rate of change of height when the water is 1 meter deep is 21 m/min
Step-by-step explanation:
First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).
As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

this can be substituted back in the volume equation

the rate of the water flowing in is:

The question is asking for the rate of change of height (m/min) hence that can be denoted as: 
Using the chainrule:

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h


reciprocating

plugging everything in the chain rule equation:



L = 12, and h = 1 (when the water is 1m deep)


the rate of change of height when the water is 1 meter deep is 21 m/min
Hey there!
If z = 5
we replace "z" with "5"
So, let's test out the problem to see if it is true or false
Problem becomes:

Let's work this out

Problem becomes:


Problem becomes:


So, therefore it looks like this statement/ sentence is

!
~
Answer:
y = -7x + 2
Step-by-step explanation:
Since we do not have the y-intercept (or, when the x is 0) We will use the Slope Form Formula (y - y1 = m(x - x1)) to find the Slope Intercept Form Formula (y = mx + b)
Point: (-7,51)
Slope: -7
y - y1 = m(x - x1)
y - 51 = -7(x - (-7))
y - 51 = -7(x + 7)
y - 51 = -7x - 49
y = -7x - 49 + 51
y = -7x + 2
Problem 1
<h3>Answer: 2/5</h3>
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Explanation:
There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).
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Problem 2
<h3>Answer: 1/6</h3>
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Explanation:
The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.
The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.
Multiply the fractions: 1/3 * 1/2 = 1/6
This works because both events are independent.