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skad [1K]
3 years ago
11

41=12d-7 can someone help me?​

Mathematics
2 answers:
OverLord2011 [107]3 years ago
6 0

Answer:

d = 4

Step-by-step explanation:

41 = 12d - 7

48 = 12d

d = 4

Arisa [49]3 years ago
5 0

Answer:

d = 4

Step-by-step explanation:

41 = 12d - 7

41 + 7 = 12d

12d = 48

d = 48 : 12

d = 4

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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 <em>x-</em>coordinate is measured in minutes since the tank began to be filled and the <em>y-</em>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 <em>m</em> is the slope/rate of change and (<em>x</em>₁, <em>y</em>₁) is a point.

We will substitute 0.1 for <em>m</em> 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 <em>y</em> represent how full the tank is and <em>x</em> represent the time in minutes since the tank began to be filled, we can substitute <em>y</em> for V(t) and <em>x</em> for <em>t</em>. Thus, our function is:

<em />\displaystyle V(t) = 0.1(t - 10) + 4.8<em />

<em />

The initial volume is when <em>t</em> = 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 <em>t</em>. Hence:

60 = 0.1(t - 10) + 4.8

Subtract:

55.2 = 0.1(t - 10)

Divide:

552 = t - 10

Add. Therefore:

t = 562\text{ minutes}

It will take 562 minutes for the tank to be completely filled.

8 0
2 years ago
Malik collects rare stamps and has a total of 96 stamps. He has 24 more domestic stamps than foreign stamps. Let d represent the
Dvinal [7]

Answer:

Domestic Stamps: 60

Foreign Stamps: 36

Step-by-step explanation:

96 - 24 = 72

72 ÷ 2 = 36

36 + 24 = 60

d - f = 24

60 - 36 = 24

24 = 24

d + f = 96

60 + 36 = 96

96 = 96

6 0
2 years ago
Read 2 more answers
What is the range of f(x) = 3x + 9?
11Alexandr11 [23.1K]
There is no restriction upon the domain, the x values, and is all real numbers or (-oo,+oo)

From such it is clear that the domain also contains all real numbers.

The range of f(x) is (-oo,+oo)
8 0
3 years ago
Can you help me please to prove that the bleu areas are same without without useing numbers.
Nikitich [7]

Answer:

Answer

1

Answer:

they ate the some area just one is

stretched out more than the other one

Just draw a line from point D join to point

E

The triangle formed DME will be

congruent to AMC

Explanation:

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2 years ago
3*(2)=6+5 3*(2+5)<br> Please help
Lina20 [59]

Answer:

6 = 413 is a not true statement

Step-by-step explanation:

I've attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

4 0
2 years ago
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