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Romashka-Z-Leto [24]
2 years ago
7

I need assistanceeeee

Mathematics
1 answer:
Sonbull [250]2 years ago
4 0

Answer:

I believe it would 24..

Step-by-step explanation:

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Patti's Pet Palace has a 100-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 5 gallons per minute.
Alona [7]

____________________________________________________

Answer:

Your answer would be C). y = 100 - 5x

____________________________________________________

Step-by-step explanation:

Let's break down the question so it would be more easier to figure out the answer.

We would be making a y = mx + b equation

Important information:

  • 100-gallon.
  • "Drained" at a rate of 5 gallons PER minute.
  • x represents the number of minutes the tank has been draining.

With the information above, we can use that to make our equations.

We know that the place has a 100 gallon fish tank. in the question, it says that for the equation, the tank was full, so that would be our "beginning point" or "starting value. From the equation, it would represent our "B" value.

Our equation should look like this now:

y = mx + 100

Now we need to find the rate of change.

In the question, it says that the tank DRAINS at around 5 gallons per minute, meaning that we would have to subtract 5 (-5). That would represent your "m" value on the equation. Your equations should now look like this:

y = -5x + 100

F.Y.I: y = 100 - 5x is the same that as -5x + 100, it's just flipped, and y = 100 - 5x is the answer choice that looks close to the one we made.

Answer choice C). y = 100 - 5x would be your FINAL answer.

____________________________________________________

7 0
3 years ago
Square root of 48a^6b^5
DiKsa [7]

Answer:

  4a³b²√(3b)

Step-by-step explanation:

Even powers of any of the factors can be brought out from under the square root radical.

  \sqrt{48a^6b^5}=\sqrt{(4^2a^6b^4)(3b)}=\sqrt{(4a^3b^2)^2(3b)}=\boxed{4a^3b^2\sqrt{3b}}

3 0
2 years ago
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
melisa1 [442]

Answer:

One Solution

x = -9/2

Step-by-step explanation:

7 0
2 years ago
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 2x − y = −3, and segment EH is on the line 2x − y = 1. Wh
umka2103 [35]

Answer:

They have the same slope of 2 and are, therefore, parallel.

Step-by-step explanation:

Given: Equation of FG is 2x-y=-3 and equation of EH is 2x-y=1

To find: Relation between segments FG and EH

Solution:

Slope of a line describes its direction and the steepness.

Two lines are said to be parallel if their slopes are equal.

2x-y=-3

Differentiate with respect to x

2-y'=0\\y'=m_1=2

where m_1 denotes the slope of the line FG

2x-y=1

Differentiate with respect to x

2-y'=0\\y'=m_2=2

where m_2 denotes slope of line EH

As m_1=m_2=2, lines are parallel

4 0
3 years ago
Margaret is planning a rectangular garden. Its length is 4 feet less than twice its width. Its area is 170ft^2. what are the dim
bogdanovich [222]
If you would like to know the dimensions of the garden, you can calculate this using the following steps:

length ... (2 * x - 4) feet
width ... x feet
area ... 170 ft^2

area = length * width
170 = (2 * x - 4) * x
170 = 2 * x * x - 4 * x
170 = 2 * x^2 - 4 * x
0 = 2 * x^2 - 4 * x - 170     /2
0 = x^2 - 2 * x - 85
1. x = 1 - sqrt(86) = -8.27
2. x = 1 + sqrt(86) = 10.27

length: 2 * x - 4 = 2 * 10.27 - 4 = 16.54 feet
width: x = 10.27 feet

The dimensions of the garden are 16.54 feet and 10.27 feet.
7 0
3 years ago
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