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garri49 [273]
3 years ago
6

This is probably easy

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

Answer:

5 hours

Step-by-step explanation:

Let's express each scenario as a function in a slope-intercept form, y = mx + b,

Where,

y = total amount of water

x = number of hours

m = rate of at which water is drained or filled per hour

b = initial quantity of water in the tank

✔️Equation for Tank A:

m = 2 gallons/hour = 2

b = 100 gallons = 100

Substitute m = 2 and b = 100 into y = mx + b:

y = 2x + 100

✔️Equation for Tank B:

m = 6 gallons/hour = -6 (this is negative 6 because water drains)

b = 140 gallons = 140

Substitute the values into y = mx + b

y = -6x + 140

✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.

2x + 100 = -6x + 140

Collect like terms

2x + 6x = -100 + 140

8x = 40

Divide both sides by 8

x = 40/8

x = 5

Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.

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The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

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To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

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4 years ago
The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the me
RUDIKE [14]

Answer:

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  • The median for Group A is less than the median for Group B.
  • The mode for Group A is less than the mode for Group B.

Step-by-step explanation:

First, we can find the measures of center for each group.

<u>Group A</u>

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<u>Group B</u>

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From here, we can see that...

  • The mean for Group A is less than the mean for Group B.
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Hope this helps!

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Step-by-step explanation:

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