Two game board spinners are shown below, one number 1, 2, 3, and one numbered 5, 6, 7, and 8. A contestant gets to spin both needles just once to win money. The first spinner points to the tens digit and the second points to the digit of their prize. For example, if they spin a 3 and a 6 they win $36.

Answer: 24 cubic meters

Step-by-step explanation:

The formula for the volume of a triangular prism is  [tex]\frac{1}{2}[/tex]bhl

Where

b is the base (3 for this)

h is the height (2 for this)

and l is the length (8 for this)

Sub the values into the formula and solve

[tex]\frac{1}{2}bhl\\\frac{1}{2}(3)(2)(8)\\\frac{1}{2}(3)(16)\\\frac{1}{2}(48)\\24[/tex]

The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

Here we have the inequality:

–3(2x – 5) < 5(2 – x)

First, we need to isolate x in one side of the inequality, we will get:

-6x + 15 < 10 - 5x

15 - 10 < -5x + 6x

5 < x

Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

If you want to learn more about inequalities, you can read:

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Considering that the data has no outliers, the mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

It depends if the data-set has outliers or not.

The dot plot gives the number of times each measure appears. Since there is no outliers, that is, all values are close, the mean should be used. It is given by:

M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1 + 1) = 3.2 inches.

The mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

More can be learned about the mean of a data-set at https://brainly.com/question/24628525

Answer: median 2.5

Step-by-step explanation:

Answer:

11165

Step-by-step explanation:

77*145= 11165

Hope this helps. :D

Answer:

Given:-

Y = 3x² - 3x + 2

Find : - Discriminant

Y = ax² - bx + c

Discriminant is : - Y = b² - 4ac

So, Discriminant is :-

(-3²) - 4 (3) (2)

= 9-24

=-15

If b² - 4ac < 0.

The equation has no real solution but it does have complex solution.

Answer:

C

Step-by-step explanation:

let x be number of adults and y the number of underage , then

x + y = 350 → (1)

6x + 4y = 1600 → (2)

multiplying (1) by - 4 and adding to (2) will eliminate y

- 4x - 4y = - 1400 → (3)

add (2) and (3) term by term to eliminate y

(6x - 4x) + (4y - 4y) = 1600 - 1400

2x + 0 = 200

2x = 200 ( divide both sides by 2 )

x = 100

the number of adults who attended is 100

The first step is to determine the side lengths of the small box.

Side length = ∛64 = 4 in

Side lengths of the medium boxes = 4 x 2 = 8 inches

Volume of the medium box = 8³ = 256 cubic inches

The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.

The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) =  1:4.

The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

Answer:

See below ~

Step-by-step explanation:

We know the sum of the interior angles is 720° for a hexagon.

Finding x

Finding m∠ABC

Answer:

option D

Step-by-step explanation:

becuase 36=3 feet

Answer:

I believe the answer is 74.557 I apologize if I am incorrect

Step-by-step explanation:

Answer:

The answer should be 14.5

Step-by-step explanation:

Hope This Helps

Have A great day

~Zero~

Answer:

D

Step-by-step explanation:

I and IV

Answer:

rectangle!

Step-by-step explanation:

Just finished the test for k-12

Answer:

Rectangle

Step-by-step explanation:

The dot plot with the least number of sites has the least frequency

The dot plot has the least number of sites is the Shield Darter

To determine the dot plot with the least number of sites, we simply calculate the total frequency of each dot plot

So, we have:

Shield Darter = 3 + 1 + 4 + 2 + 3 + 1 + 1

Shield Darter = 15

Calico Crayfish = 1 + 1 + 3 + 4 + 1 + 2 + 4 + 2

Calico Crayfish = 18

Zebra Mussel = 1 + 3 + 2 + 5 + 1 + 1 + 2 + 3 + 2

Zebra Mussel = 20

Blue back Herring = 3 + 3 + 2 + 1 + 3 + 1 + 4

Blue back Herring = 17

From the computation above, the least frequency is

Shield Darter = 15

Hence, the dot plot has the least number of sites is the Shield Darter

Read more about dot plots at:

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Answer:

The total number of outcomes is 15.

favourable outcomes =6 (2,3,5,7,11,13)

prime number probability = 6/15

Answer:

x = 12

Step-by-step explanation:

Theorem of Thales

[tex]\frac{28}{12} =\frac{x+(x-3)}{x-3}[/tex]

[tex]\frac{28}{12} =\frac{2x-3}{x-3}[/tex]

[tex]28(x-3)=12(2x-3)[/tex]

[tex]28x-84=24x-36[/tex]

[tex]28x-24x=-36+84[/tex]

[tex]4x=48[/tex]

[tex]x=48/4[/tex]

[tex]x=12[/tex]

Hope this helps

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the equivalent expressions ~

#1. PROBLEM

[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]

[tex]\qquad \tt \dashrightarrow \:17x[/tex]

#2. PROBLEM

[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

[tex]3 (0)+8(0) = 0[/tex]

2. (2,7)

[tex]3(2)+8(7)=62[/tex]

3. (5,6)

[tex]3(5)+8(6)=63[/tex]

4. (8,1)

[tex]3(8)+8(1)=42[/tex]

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

To learn more about the objective function refer to the link;

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C. 2916 Mice

Step-by-step explanation:

4 x 3^6 = 2916

Because as the mice increases, you triple that amount, instead of tripling 4 & multiplying by 6.

So, you're doing this instead:

4 x 3 = 12 (1 wk)

12 x 3 = 36 (2 wk)

36 x 3 =108 (3 wk)

108 x 3 = 324 (4 wk)

324 x 3 = 972 (5 wk)

972 x 3 = 2916 (6 wk)

Hope this helps!

Answer:

I would be a diamond because diamonds are one of my favorite shapes.

Step-by-step explanation:

Diamonds are a girl's best friend

Hope it Helps

[tex]\sec \theta = \sqrt 2\\\\\implies \cos \theta = \dfrac 1{\sqrt 2}\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}4\\\\\\\text{In the interval}~ 0 < \theta < 2\pi, \\\\\theta = \dfrac{\pi}4, \dfrac{7\pi}4~~ \text{or}~~ \theta = 45^{\circ}, 315^{\circ}[/tex]

Answer:

1,512 ft cubed

Step-by-step explanation:

Volume Formula is Length times Width times Height.

Do 9ft x 14ft x 12ft = n ft cubed

**n is a variable used**

1,512 ft cubed is the correct answer.

Answer:

Step-by-step explanation:

The length of b, the base of the triangle, is

The area of the triangle is

The area of the rectangle is

The area of the irregular figure is

Answer:

[tex]b=2\frac23\:\sf ft[/tex]

Area of triangle = 4 ft²

Area of rectangle = [tex]6\frac23\: \sf ft^2[/tex]

Area of irregular figure = [tex]10\frac23\: \sf ft^2[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}[/tex]

[tex]\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}[/tex]

[tex]\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}[/tex]

[tex]\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}[/tex]

The statements that are true about the considered polynomial are:

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).

The considered polynomial is: 28vw + 49v + 35w

Checking all the options:

False.

Coefficients are numbers in multiplication with variables in each term.

The coefficients of the considered polynomial are 28, 49, 35

They are all multiple of 7 and 1, so the common factor is 7 too, along with 1.

Yes its true.

It is because none of the variables v, or w are in all the three terms.

False.

Thus, the greatest factor that is common in all three terms is 7 and not 7v.

False.

Because, each term written as product of gcf gives:

True.

It is because:

[tex]7(4vw+7v+5w) = 28vw + 49v + 35w[/tex] = the considered polynomial, and that 7 is the gcf.

Thus, the statements that are true about the considered polynomial are:

Learn more about greatest common factor here:

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Answer:

The coefficients have no common factors other than 1.

There are no common variables among all three terms. <----

The GCF of the polynomial is 7v.

Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).

The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

^^^^

Step-by-step explanation:

B and E i just did it on edg

Hi There! Hope you are having a great day! As you know, you need to find the unit rate of the problem. In order to do that you must divide how much ounces there is, (52.8) and divide that integer by how much money she made (26.4) leaving you with a unit rate of 2. Hope this helps! :)

Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces. Each clay block is 2 pounds so each of them are 32 ounces.

32 x 3 = 96

Divide 96 by the 4 ounces for each student, 96 ÷ 4 = 24

The clay is only enough for 24 students, leaving 4 students out, each need 4 ounces, so multiply the 4 students by the 4 ounces.

4 x 4 = 16

Therefore, 16 ounces are needed. Hope this helped!

Answer:

(0, 5)

Step-by-step explanation:

y = mx + b <== slope-intercept form of a straight line

m <== slope of the line

b = y-intercept (when x = 0)

y = -4x + 5

Therefore, for this line, the y-intercpet is (0,5)

Hope this helps!