Divide. 3.2 ÷ 0.8 help me e pleaseeeeeeeeeeee !!!!!!

Since the bag contains 15 green, 18 yellow, and 16 orange balls, the total number of balls in the bag are 15+18+16=49.

Therefore, the probability of the event that the drawn ball is yellow is given by:

P(yellow)=[tex] \frac{Number of Yellow Balls}{Total Number of Balls} [/tex]

[tex] \therefore P(Yellow)=\frac{18}{49}\times 100\approx36.73\approx37 [/tex]%

Thus, the the probability of the event, to the nearest percent, that the drawn ball is yellow is 37%.

Answer:

1656

Step-by-step explanation:

1/3*92*54

Given that the volume of a rectangular box is a product of its length, breadth, and height, we define our problem using the given volume of 108 cubic inches and the formula for the surface area of an open box. To find the dimensions that will use minimal material requires the application of calculus and optimization techniques.

In this problem, we know that the volume of the open rectangular box is 108 cubic inches. The volume of a rectangular box can be calculated with the formula V = xyz where x, y, and z are the length, width, and height. If we let the dimensions of the box be x, y, and z inches respectively, it means that the volume V = 108 = x*y*z.

The amount of material used or the surface area S of an open box (a rectangular box without a top) is given by the formula S = xy + 2xz + 2yz. Here, our task is to minimize this surface area.

To minimize the surface area, we need to employ calculus, specifically the concept of optimal control. However to apply calculus, we need to express S in terms of one variable. We can get this by expressing y in terms of x and z using the volume formula. This leads to a complex optimization problem that involves calculus.

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Answer:

First Answer - C

Second Answer B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Is this your question? I know that sometimes I accidentally put an equal sign instead of a plus.

Answer:

  x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

  3x -91 > -87

  3x > 4 . . . . . . . add 91

  x > 4/3 . . . . . . divide by 3

__

The second inequality has solution ...

  21x -17 > 25

  21x > 42 . . . . . . add 17

  x > 2 . . . . . . . . . divide by 21

__

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

  x > 4/3

Answer:

The solution is [tex]x>\frac{4}{3}[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities.

We want to solve for x the following compound inequality

[tex]3x-91>-87 \:{OR} \:{21x-17>25}[/tex]

Solving the first inequality for x, we get:

[tex]3x-91+91>-87+91\\\\3x>4\\\\x>\frac{4}{3}[/tex]

Solving the second inequality for x, we get:

[tex]21x-17+17>25+17\\\\21x>42\\\\x>2[/tex]

So our compound inequality can be expressed as the simple inequality:

[tex]x>\frac{4}{3}[/tex]

The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities.

Graphically, we get

Answer:

its 150 degrees i think

Step-by-step explanation:

i could be wrong though but i'm like 80% sure im right

Answer:

The inverse function is [tex]y=\sqrt{\frac{x+4}{2}}[/tex]

Step-by-step explanation:

The given function is [tex]y=2x^2-4[/tex].

This function is only invertible on the interval, [tex]x\ge 0[/tex].

To find the inverse on this interval, we interchange [tex]x[/tex] and [tex]y[/tex].

[tex]x=2y^2-4[/tex]

We now make [tex]y[/tex] the subject to get,

[tex]x+4=2y^2[/tex]

[tex]\Rightarrow \frac{x+4}{2}=y^2[/tex]

[tex]\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y[/tex]

But the given interval is [tex]x\geq 0[/tex], This implies that, [tex]y\geq 0[/tex].

[tex]y=\sqrt{\frac{x+4}{2}}[/tex]

Answer:

Perimeter of any figure is given by adding up all the side measurements.

So, when a figure is enlarged by a scale factor then we can multiply all the sides with the scale factor to get the new sides measurements and then we can find the perimeter.

Or simply we can find the perimeter of the original figure and then multiply by the scale factor.

In both the methods, the answer will be the same.

We can take an example:

Lets suppose the original figure to be a rectangle with length 5 cm and width 2 cm. The rectangle is enlarged by a scale factor of 6.

The original perimeter is = [tex]2(5+2)[/tex]

= [tex]2(7)=14[/tex] cm

1st method:

Multiply the length by 6 and width by 6 to get new dimensions.

Length becomes: [tex]5\times6=30[/tex]

Width becomes: [tex]2\times6=12[/tex]

Perimeter becomes: [tex]2(30+12)[/tex]

= [tex]2(42)=84[/tex] cm

2nd method:

Simply multiply 6 with the original perimeter.

[tex]14\times6=84[/tex] cm

We can see that in both methods, the perimeter is same.

Sample Response:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

The vector [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].

Its magnitude is [tex]\( \sqrt{45} \)[/tex] in reduced radical form.

To find vector [tex]\( \mathbf{v} \)[/tex] from point [tex]\( P_1 \)[/tex] to point [tex]\( P_2 \)[/tex], we subtract the coordinates of [tex]\( P_1 \)[/tex] from the coordinates of [tex]\( P_2 \)[/tex]:

[tex]\[\mathbf{v} = \begin{pmatrix} x_2 - x_1 \\ y_2 - y_1 \end{pmatrix}\][/tex]

Given [tex]\( P_1 = (-2, 5) \) and \( P_2 = (4, 2) \), we can calculate \( \mathbf{v} \):[/tex]

[tex]\[\mathbf{v} = \begin{pmatrix} 4 - (-2) \\ 2 - 5 \end{pmatrix} = \begin{pmatrix} 6 \\ -3 \end{pmatrix}\][/tex]

So, [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].

To find the magnitude of [tex]\( \mathbf{v} \)[/tex], we use the formula:

[tex]\[|\mathbf{v}| = \sqrt{v_x^2 + v_y^2}\][/tex]

Where [tex]\( v_x \)[/tex] and [tex]\( v_y \)[/tex] are the components of [tex]\( \mathbf{v} \)[/tex]

For [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \), \( v_x = 6 \) and \( v_y = -3 \)[/tex]:

[tex]\[|\mathbf{v}| = \sqrt{(6)^2 + (-3)^2} = \sqrt{36 + 9} = \sqrt{45}\[/tex]

Thus, the magnitude of vector [tex]\( \mathbf{v} \) is \( \sqrt{45} \)[/tex] in reduced radical form.

Correct question is:

Let v be the vector from initial point P1 to terminal point P2.

Write v in terms of i and j, and find the magnitude of vector v.

Leave the magnitude in reduced radical form.

P1 = (-2,5) , P2 = (4,2)

Answer:

Option 1 : twenty four more than twelve times a number

Step-by-step explanation:

Given : 12f+24

To Find : What does the expression 12f+24 represents?

Solution:

The given expression : 12f+24

Option 1 : twenty four more than twelve times a number

The given expression 12f+24

This expression means 24 more than twelve times f

f is any number

So, we can say twenty four more than twelve times a number .

Thus Option 1 is correct

Option 2 :twenty four more than twelve plus a number

Let f be a number

So, (12+f)+24 is the obttained expression from option 2

Option 3 :twelve times the difference of number and twenty four.

Let f be a number

So, 12(24-f) is the obttained expression from option 3

Option 4 : twelve times the sum of a number plus twenty four

Let f be a number

So, 12(24+f) is the obttained expression from option 4

Thus option 1 represent the given expression 12f+24

Option: B is the correct answer.

B.   Step 1:  Divide $12 by 10 to find out the cost of 1 bottle.

Step 2 :  Multiply that cost by 6.

The cost of 10 bottles is: $ 12.

$ (12/10)=$ 1.2

( Since the cost of  1 bottle will be less and hence the total cost must be divided by the number of items in order to obtain the cost of 1 item)

Hence, cost of 6 bottles of juice is: $ (1.2×6)=$ 7.2

Hence, the correct answer is:

B.   Step 1:   Divide $12 by 10 to find out the cost of 1 bottle.

Step 2:   Multiply that cost by 6.