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Effectus [21]
3 years ago
5

Calculate 19.25tons=___lbs.

Mathematics
2 answers:
Ket [755]3 years ago
7 0

<u>Answer:</u>

19.25 tons = 38500 lbs

<u>Step-by-step explanation:</u>

We are to convert the following given amount of tons in pounds.

We know that, 1 ton = 2000 pounds. So using the ration method, we can convert 19.25 tons into pounds.

\frac{1 ton}{19.25 tons} =\frac{2000 lbs}{x}

x = 2 0 0 0 \times 1 9 . 2 5

x = 3 8 5 0 0 lbs

Therefore, 19.25 tons = 38500 lbs.

Dmitriy789 [7]3 years ago
7 0

Answer: 38,500\ lbs

Step-by-step explanation:

In order to answer the question, it is necessary to make the corresponding conversion from 19.29 tons (t) to pounds (lbs).

Then, for this conversion it is important to remember that:

1\ t=2,000\ lbs

Finally, knowing this, you can make the conversion:

(19.25\ t)(\frac{2,000\ lbs}{1\ t})=38,500\ lbs

Therefore, you get this result:

19.25\ t=38,500\ lbs

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Firlakuza [10]

Answer: surface area = 142.2 feet²

Step-by-step explanation:

The right prism has 2 triangular faces whose base is 4 feet and the height is 3.5 feet. The formula for determining the area of each is expressed as

Area = 1/2 × base × height

Area of both faces = 2 × 1/2 × 4 × 3.5 = 14 ft²

Considering the rectangular sides, Area of the base is 4 × 10 = 40 ft²

Area of the end is 3.5 × 10 = 35 ft²

To determine the width of the rectangular top, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Width = hypotenuse

Opposite side = 3.5

Adjacent side = 4

Width² = 3.5² + 4² = 28.25

Width = √28.25 = 5.32 feet

Area of rectangular top = 5.32 × 10 = 53.2 feet

Therefore, the approximate surface area of this right prism is

14 + 40 + 35 + 53.2 = 142.2 feet²

4 0
3 years ago
Find the difference between 7⅖ and 2⅝​
maksim [4K]

Answer:

\frac{191}{40} or 4.775

Step-by-step explanation:

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3 years ago
Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4
solmaris [256]

Answer:

Step-by-step explanation:

Hello,

(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9

Thanks

4 0
3 years ago
HELLOOOO HELP PLEASE
MA_775_DIABLO [31]

Answer:

2*log(x)+log(y)

Step-by-step explanation:

So, there are two logarithmic identities you're going to need to know.

<em>Logarithm of a power</em>:

   log_ba^c=c*log_ba

   So to provide a quick proof and intuition as to why this works, let's consider the following logarithm: log_ba=x\implies b^x=a

   Now if we raise both sides to the power of c, we get the following equation: (b^x)^c=a^c

   Using the exponential identity: (x^a)^c=x^{a*c}

    We get the equation: b^{xc}=a^c

    If we convert this back into logarithmic form we get: log_ba^c=x*c

    Since x was the basic logarithm we started with, we substitute it back in, to get the equation: log_ba^c=c*log_ba

Now the second logarithmic property you need to know is

<em>The Logarithm of a Product</em>:

    log_b{ac}=log_ba+log_bc

    Now for a quick proof, let's just say: x=log_ba\text{ and }y=log_bc

    Now rewriting them both in exponential form, we get the equations:

    b^x=a\\b^y=c

    We can multiply a * c, and since b^x = a, and b^y = c, we can substitute that in for a * c, to get the following equation:

    b^x*b^y=a*c

   Using the exponential identity: x^{a}*x^b=x^{a+b}, we can rewrite the equation as:

 

   b^{x+y}=ac

   taking the logarithm of both sides, we get:

   log_bac=x+y

   Since x and y are just the logarithms we started with, we can substitute them back in to get: log_bac=log_ba+log_bc

Now let's use these identities to rewrite the equation you gave

log(x^2y)

As you can see, this is a log of products, so we can separate it into two logarithms (with the same base)

log(x^2)+log(y)

Now using the logarithm of a power to rewrite the log(x^2) we get:

2*log(x)+log(y)

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A group of 2 adults and 4 children pay $95 for admission to a water park. A
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Step-by-step explanation:

2a + 4c = 95

3a +7c =155

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