Which equation represents a proportional relationship with a constant of proportionality of 14? y = x + 14 y = 14x 14y = x y = x

Answer:

Gus must fill the cylindrical bucket three times to get it filled for the tank

Step-by-step explanation:

Extracting essential details from the query:-

*** A fish tank has a volume of 4710 inches^3

*** The tank owner utilizes a cylindrical bucket for filling the tank

*** The bucket has a radius of 5 inches and a height of 20 inches

*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.

Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.

Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.

The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3

Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:

4710/1570 = 3 full buckets.

Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.

The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I completed the assignment and got it correct.

Examining Talia's steps to derive the line equation, we identify the erroneous step as detailed below:
Step 1:
Select a point on the line, such as (2,5)
Step 2:
<span>Select another point on the line, such as (1, 3)
Step 3:
</span><span>Measure units to find the slope. The line moves 1 unit to the right and 2 units upward, resulting in a slope of
(5-3)/(2-1) = 2/1 = 2
Step 4:
</span><span>Apply these values in the point-slope form
y - y1 = m(x - x1)
y - 3 = 2(x - 1)
y = 2x + 1
Hence, the conclusion is:
</span><span>Step 4 is erroneous due to incorrect application of (1, 3) in the point-slope format.</span>

Question 1

Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.

Mae Green surpassed her designated budget.

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Question 2

Eleanor:
Earned = 380.48
Spent = 16.50

Peter:
Earned = 120 + 13.65 + 100 = 233.65.

Combined total income = 233.65 + 380.48 - 16.50 = 597.63.

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Question 3

Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.

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Question 4

Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.

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Question 5

[235/825] × 100 = 28.48%

Answer:

2.55 cubic meters of sand

Step-by-step explanation:

The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!