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3 years ago

If I drink 25% of a 700ml bottle of rum, how much is left?

Mathematics

1 answer:

Rudiy273 years ago

5 0

Answer:

525 ml

Step-by-step explanation:

.25(700) = 175 ml drunk

700 - 175 = 525

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Mr. Williams is painting only the back of his bar a gallon of paint cover and 70 ft.² how many square feet will Mr. Williams be

bulgar [2K]

Answer:

264/70, or 3.77142857.

Step-by-step explanation:

You can first calculate how much paint is needed for the bottom part.

Do 18*12 to do this, and you'll find that 216 sq ft is needed for that.

You can then calculate the top, or the triangle part.

The formula for area of a triangle is .5b*h.

The base is 12 feet, and the height is 10 feet, as you can find this by doing 28-18.

Putting this in the formula, you'll find that the entire triangle is .5*12*10 = 60.

However, you have to get rid of the window at the top, so do 4*3 (dimensions of the window), and subtract that from 60, which = 48.

Now, with values from the bottom part and the top part, you can add them together to get how much sq ft it is. 216+48= 264.

Now, you will do 264/70 to find how many gallons you need. This = around 3.77.

8 0

3 years ago

Given the quadratic equation: x^(2)+6=0, find all solutions for x

MakcuM [25]

Answer:

$x=i\sqrt6$

$x=-i\sqrt6$

Step-by-step explanation:

x^2=-6

x= $\sqrt-6$

3 0

2 years ago

the spinner is divided in to 8 equal sections. if the arrow lands on a number, what is the probability that it will land on a 1

Tcecarenko [31]

25% there are 8 sections and there are two you are trying to land on making it 2/8=25%

3 0

3 years ago

Anyone know answer?!

Lostsunrise [7]

B. the slope is negative

6 0

3 years ago

Read 2 more answers

Given the set points K+1:(-1,8),(1,0) and (2,5), find the quadratic polynomial interpolate

Sauron [17]

Answer:

The interpolating polynomial is $p(x) = 1-4x+3x^2$ .

Step-by-step explanation:

We want to find a quadratic polynomial $p(x)$ such that $p(-1)=8$ , $p(1)=0$ and $p(2)=5$ . In order to do this let us write $p(x) = a_0+a_1x+a_3x^2$ .

Now, evaluating the polynomial in the points -1, 1 and 2 we get

$\begin{cases} 8 = p(-1) &= a_0-a_1+a_2\\ 0 = p(1) &= a_0+a_1+a_2\\ 5 = p(2) &= a_0+2a_1+4a_2\end{cases}$

This relations give us a linear system of equations:

$\begin{cases} 8 &= a_0-a_1+a_2\\ 0 &= a_0+a_1+a_2\\ 5&= a_0+2a_1+4a_2\end{cases}$

where the $a_0$ , $a_1$ and $a_2$ are the unknowns.

The augmented matrix of the system is

$\begin{pmatrix}1 & -1 & 1 & 8\\ 1 & 1 & 1 & 0\\ 1 & 2 & 4 & 5\end{pmatrix}$

In this matrix it is easy to eliminate the 1's of the first column and get

$\begin{pmatrix} 1 & -1 & 1 & 8\\ 0 & 2 & 0 & -8\\ 0 & 3 & 3 & -3\end{pmatrix}$

From this matrix we can find the values of each unknown. Notice that the second row gives us $2a_2=-8$ that yields $a_1=-4$ .

Then, the third row means $3a_1+3a_2=-3$ that gives $-12+3a_2=-3$ . So, $a_2=3$ .

Finally, the first row is $a_0-a_1+a_2=8$ and substituting is $a_0+7=8$ that yields $a_0=1$ .

Therefore, the interpolating polynomial is

$p(x) = 1-4x+3x^2$ .

8 0

3 years ago