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Svetllana [295]
3 years ago
8

Help !! Thank you !!!!

Mathematics
1 answer:
Anton [14]3 years ago
5 0

9514 1404 393

Answer:

  The correct choice is marked

Step-by-step explanation:

When you end with a true statement, it means any variable value will make the equation true. There are infinite solutions.

When you end with a false statement, it means no value of the variable will make the equation true. There are no solutions.

__

The correct choice is marked in the image.

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What is the answer to 1/2 of 1/5?
ANEK [815]
'of' can be translated to as multiply for fractions so
1/2 times 1/5=1/10
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Is 15 over 50 equivalent to 0.3
alexdok [17]
Yes,\ because\\\\\frac{15}{50}=\frac{15:5}{50:5}=\frac{3}{10}=\boxed{0.3}
6 0
2 years ago
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Yesterday morning, at 6:00 AM, water started leaking from a tank at a constant rate. The tank contained8,496liters of water at 6
GREYUIT [131]

A linear equation can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

The answers are:

a) y = (-12 L/min)*t + 9,000 L

b) 6,840 L

a) Here we know that we can model this situation with a linear equation, we know that the leak starts at 6:00 am, then we define t = 0 as 6:00 am

We know that at 6:42 am  (at t = 42 mins) the tank has 8,496 liters.

And at 7:15 am (at t = 75 mins) the tank has 8,100 liters.

Then we have two points of the line:

(42 mins, 8,496 liters)

(75 mins, 8,100 liters)

Then the slope is:

a = \frac{8,100 liters - 8,496 liters }{75 mins -42 mins } = -12 L/min

So the line will be something like:

y = (-12 L/min)*t + b

To find the value of b, which is the initial volume of water in the tank, we use the point (75 mins, 8,100 liters)

This means that if t = 75 mins, then we have y = 8,100 L

So we can replace these two on the above equation:

8,100 L = (-12 L/min)*75 mins + b

8,100L = -900L + b

8,100L + 900L = b = 9,000 L

Then the linear equation is:

y = (-12 L/min)*t + 9,000 L

b) Now we want to know how much water is in the tank at 9:00 am.

Notice that 9:00 am is 3 hours after 6:00 am, our t = 0.

Then  9:00am is equivalent to t = 180 mins.

So to know the volume of water that there is in the tank at 9:00 am, we just need to evaluate the linear function at t = 180 mins.

y = (-12 L/min)*180 mins + 9,000 L = 6,840 L

If you want to learn more, you can read:

brainly.com/question/24594539

7 0
2 years ago
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's
IgorLugansk [536]
Let
R = Ralph's age
S = Sara's age

First statement is translated as:
S = 3R

Second statement is translated as:
S + 4 = 2(R + 4)

Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
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The sum of the three numbers in 2003,two of the numbers are 814 and 519 what is the third number​
KonstantinChe [14]

Answer:

670

Step-by-step explanation:

2003-814=1189

1189-519=670

8 0
3 years ago
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