Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.

Evaluate the numerical expression [18 Divided by (2 x 3)] x 4

Nastasia [14]

P: parenthesis
E: exponents
MD: multiplication or division (whichever comes first left to right)
AS: addition or subtraction (whichever comes first left to right)

This is the order of operations. We will use this to solve the equation correctly.
We will start with the parenthesis. 2x3=6.
[18/6]x4
Next, we will do the rest of the parenthesis.
18/6=3.
This gets rid of the parenthesis (or brackets.) We will now do the rest of the problem, which is multiplying 3 and 4.
3x4=12.
12 is your final answer.

6 0

3 years ago

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .

We are also told that Dani received 216 pennies. Now, we will equate 216 to $\frac{27}{343}x$ and solve for x as shown below:

$\frac{27x}{343}=216$

$\frac{27x}{343}*343=216*343$

$27x=74088$

$\frac{27x}{27}=\frac{74088}{27}$

$x=2744$

Therefore, Al have 2744 pennies initially.

3 0

2 years ago

A circle with radius 9 has a sector with a central angle of 120°.

Vitek1552 [10]

120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.

A circle with radius 9 has area 9^2 π = 81π.

So the sector has area 81π/3.

Put another way: The area A of a circular sector and its central angle θ (in degrees) occur in the same ratio as the area of the entire circle with radius r according to

A / θ º = (π r ^2) / 360º

==> A = π/360 θ r ^2

In this case, r = 9 and θ = 120º, so

A = π/360 * 120 * 81 = 81π/3

8 0

3 years ago

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone

Aneli [31]

I don't know where the angle β is, so I will make the assumption that tanβ = h/r
$V = \frac{1}{3} \pi r^{2} h$

V volume = 60
r radius = 2
h = r tanβ

$tan \beta = \frac{3V }{ \pi r^{3} } = \frac{ 180}{25,1} = 7,17 \\ \\ \beta = 82$

7 0

3 years ago

Which of the following is(are) the solution(s) to |5x+2|=8

iren [92.7K]

Option A.

Hope it helps.

6 0

2 years ago

Read 2 more answers