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Paha777 [63]
4 years ago
8

A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining

, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water. 1. Solve for the y-variable.     y – 12 = –3(x – 1) y – 12 = –3x + 3 y = –3x +15   2. Write the equation using function notation.  f(x) = –3x +15 The tub started with ____ gallons of water. 
Mathematics
2 answers:
Yakvenalex [24]4 years ago
5 0
The tub started with 15 gallons
mixer [17]4 years ago
4 0

The tub started with 15 gallons of water.

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Find the surface area of the solid shown or described. If necessary, round to the nearest tenth. 348m^2 484m^2 180.7m^2 262m^2
Inessa05 [86]

Answer: 520.5 m²

This answer is not an answer choice provided, but I hope this still helps.

Step-by-step explanation:

The formula to find the surface area of a cone is A=\pi r(r+\sqrt{h^2+r^2} ). Looking at the formula, we can see there are radius and height. The figure provided gives the radius is 7.1 m and height of 14.6 m. Since we have these values, we can just plug them into the formula.

A=\pi (7.1)(7.1+\sqrt{14.6^2+7.1^2} )

Now that we have filled out the formula, we can plug this into a calculator to get the surface area. It is possible to do this by hand, but it is hard to be accurate.

A=520.5m^2

3 0
3 years ago
What is the fraction 18/24 reduced to its lowest terms?
erastovalidia [21]
C. 3/4

To simplify, you find the greatest common multiple of 18 and 24, which is 6. As a result, you divide 18 and 24 by 6. 18 divided by 6 is 3, and 24 divided by 6 is 4. Then you get 3/4 as an answer.
5 0
4 years ago
Noah wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of th
beks73 [17]

Answer:

$74.36 sorry all i got

Step-by-step explanation:

First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:

Where:

is the sales price of the item: what we are solving for in this part of the problem.

is the regular price of the item: $79.16 for this problem.

is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as  

12

100

Substituting and calculating  

gives

79.16

79.16

12

100

79.16

949.92

100

79.16

9.4992

69.6608

69.66

rounded to the nearest cent.

Now we can find the total price of the item with tax included. The formula for this is

#t = p + (p * r)

Where, this time:

is the total price: what we are solving for in this problem.

is the price of the item: it is the sales price of the item for this problem which is $69.66

is the tax rate: 6.75% or, using the same rule as in the formula above:  

6.75

100

Substituting and calculating  

gives:

69.66

69.66

6.75

100

69.66

470.205

100

69.66

4.70205

74.36205

74.36

rounded to the nearest cent.

Noah would pay a total cost (with the discount and after tax) of $74.36

5 0
3 years ago
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harkovskaia [24]
16x+9y=218

Hope this helps!
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4 years ago
Are the ratios 8/12 and 10/25 proportional? (Explain in steps)
irinina [24]
Okay, so first, lets determine whether or not these are equivalent, which will lead us to our answer. 

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25/5 = 5

10/25 = 2/5

2/5 ≠ 2/3

These ratios are not proportional. 
5 0
3 years ago
Read 2 more answers
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