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3 years ago

What is bigger 24 inches or 2 feet 3 inches

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

7 0

2 feet 3 inches because 24 inches is 2 feet flat

Lerok [7]3 years ago

3 0

The larger of 24 inches and 2 feet, 3 inches would be 2 feet, 3 inches.

In customary conversions, 1 foot equals 12 inches. Since we have 2 feet, that means we multiply inches by the number of feet we have. In this problem, that would be 12 (the inches in a foot) times 2 (the number of feet).

12 x 2 = 24.

However, we can't just stop there. Since we have 2 feet, 3 inches, we have to add the 3 extra inches now that we've set all of the numbers to the same unit. So it would be:

24 + 3 = 27

Since 27 inches is greater than 24 inches, we can safely say that 2 feet, 3 inches is greater than 24 inches.

Hope I could help! Feel free to reach out if you need more help with conversions. Having a chart in either your notebook or binder has always helped me.

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Translate the sentence into an equation. Four times the difference of a number and 5 is 24.

givi [52]

$4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}$

3 0

3 years ago

A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the

Mashcka [7]

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

$\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1$

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

$\displaystyle y - y_1 = m( x - x_1)$

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

$\displaystyle y - (4.8) = 0.1(x - 10)$

Simplify:

$\displaystyle y = 0.1(x-10) + 4.8$

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

The initial volume is when t = 0. Evaluate:

$\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8$

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

$60 = 0.1(t - 10) + 4.8$