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Karolina [17]
3 years ago
6

Why do people ...................

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

What?

Step-by-step explanation:

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EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o
german

Answer:

y=9x+33

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33

So, there were 33 gallons of water in the tank to begin with.

3 0
3 years ago
Given the following sets:
hjlf
<h3>Answer:  10</h3>

===========================================================

Explanation:

Even though your teacher doesn't want you to list the items of the set, it helps to do so.

We'll be working with these two sets

A = {b, d, f, h, j, I, n, p, r, t}

C =  {d, h, I, p, t}

When we union them together, we combine the two sets together. Think of it like throwing all the letters in one bin rather than two bins.

A u C = {b, d, f, h, j, I, n, p, r, t,   d, h, I, p, t  }

The stuff that isn't bolded is set A, while the stuff that is bolded is set C

After we toss out the duplicates, we end up with this

A u C = {b, d, f, h, j, I, n, p, r, t}

But wait, that's just set A. Notice how everything in set C can be found in set A. This indicates set C is a subset of set A.

That's why all of the stuff in bold was tossed out (because they were duplicates of stuff already mentioned).

Once we determine what set A u C looks like, we count out the number of items in that set to determine the final answer.

There are 10 items in {b, d, f, h, j, I, n, p, r, t} which means 10 is the final answer.

----------------------------

An alternative method is to use the formula below

n(A u C) = n(A) + n(C) - n(A and C)

n(A u C) = 10 + 5 - 5

n(A u C) = 10

The notation n(A and C) counts how many items are found in both sets A and C at the same time. But as mentioned earlier, this is identical to just counting how many items are in set C. So we'll have n(C) cancel out with itself.

In short, n(A u C) = n(A) = 10

8 0
2 years ago
Find three solutions for the equation 2x+y=-4
Svetllana [295]
I would start by plugging in a number for x. Just any random number. Let's take 2 for example. Then the equation would go from 2x + y = -4, to 2(2) + y = -4. Then solve.

2(2) + y = -4
4 + y = -4, after you've done that, plug in a number for y, that completes the equation. In this case, the only acceptable number, would be -8. Because it completes the number sentence.

4 + (-8) = -4
-4 = -4.

Now plug in other numbers, to get the same outcome. Hope this helped!

-Twixx
7 0
3 years ago
(4x²+9x-7)+6(x²-10x+3)
polet [3.4K]

Answer:

1Step-by-step explanation:

8 0
2 years ago
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
ratelena [41]

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to <u>negative</u> three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

3 0
2 years ago
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