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omeli [17]
2 years ago
13

Help me in this question please

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

m<5= m<3

m<11= m<14

m<16= m<9

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POSSIBLE POINTS: 2
serious [3.7K]

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

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

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

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

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

4 0
2 years ago
A student solved this problem and said the answer was hour. cindy rode her bike for hour and ran for hour. what was the total le
saw5 [17]

The answer would be a. Yes, the student’s answer is reasonable.

In the problem, it states that Cindy rode her bike for an hour and ran for an hour.  Without the presence of the comma between rode her bike for an hour, and ran for an hour, this just means that Cindy only rode her bike and ran it for an hour.

The sentence can be written as Cindy rode her bike and ran for an hour.  So, this gives an answer that Cindy only exercise for an hour.

6 0
3 years ago
Write an algebraic expression to represent each scenario.<br><br> Part A: “the sum of 6 and y”
Nostrana [21]

Answer:

6 + y

Step-by-step explanation:

Here, we want to write an algebraic expression to represent the situation

Mathematically, we want to add 6 and y

The algebraic expression will be;

6 + y

3 0
3 years ago
A semi circle shaped rug has a diameter of 2 feet what is the area of the rug
Hitman42 [59]
For the full circle, Area = pi(r)^2
pi x 1^2 = pi 
Semi circle = pi/2 = 1.57 square feet
3 0
3 years ago
mrs. West took her class on a field trip to the museum cost of admission for the girls was $90 and the cost of admission for the
timofeeve [1]

Answer:

15 dollars

Step-by-step explanation:

4 0
3 years ago
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