The sum of three consecutive numbers is 72. What is the smallest of
these numbers?

x + (x + 1) + (x + 2) = 72
x+ (x + 2) + (x + 4) = 72
3x = 72
x + y + z =72

Answer:

squid, crab, tuna, eel

Step-by-step explanation:

Just make each sushi piece into an equation, then solve it.

For example, for the squid: (s stands for squid)

[tex]2s = 3.5\\ s=1.75[/tex]      Divide both sides by 2 to get "s" by itself

Eel: (e stands for eel)

e = 3.25

Tuna: (t stands for tuna)

[tex]3t=6.75\\ t=2.25[/tex]   Divide both sides by 3 to get "t" by itself

Crab: (c stands for crab)

[tex]4c=8\\ c=2[/tex]       Divide both sides by 4 to get "c" by itself

**Then order from least to greatest**

Answer: Squid crab tuna eel

Step-by-step explanation: I took the test :)

use "guess and check" method if this is an elementary school question

guess length is 4 and width is 1

4 + 1 + 4 + 1 = 10

4 x 1 = 4

if this is a high school question, use the attached answer

Step-by-step explanation:

Surface Area of the Cylinder

= 2πr² + 2πrh

r = 4 in

h = 16 in

Surface Area :

= 2πr² + 2πrh

= 2π (4)² + 2π (4) (16)

Hope it helpful and useful :)

The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For a cylinder,

r = 4 in.

h = 16 in.

Now, We know that;

its surface area is,

⇒ 2π r h + 2π r²

Hence, The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

⇒ S = 128π + 32π

⇒ S = 160π

Thus, The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

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Answer:

a) 9/20 or 45%

b) 2/5 or 40%

c) Answer choice 1

Step-by-step explanation:

a) During Linda's experimentation, she spinned the spinner a total of 18+14+8=40 times. Out of those, 18 landed on grey. Based on her results, the experimental probability is 18/40=9/20 or 45%.

b) Assuming the spinner is fair, since there are 5 total possible colors to land on and 2 of them are gray, the probability is 2/5 or 40%.

c) As time goes on and the spinner is spinned more and more often, it will continue to approach the theoretical probability, because that is the likelyhood every time that the arrow lands on grey. Hope this helps!

Final answer:

The VR Robot will need to turn 180 degrees to face the original direction after driving forward 6 grid squares. It then drives back the same distance, totaling 12 grid squares or units of distance traveled.

Explanation:

To program a VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares, we need to calculate the total degrees turned and the total distance traveled. When turning to face the way it originally came from, the robot will need to turn 180 degrees.

This is because a half-circle, or a complete about-face turn, is 180 degrees. For the total distance traveled, if each grid square is a standardized distance (let's assume 1 unit distance per grid square), then driving forward 6 grid squares and back would accumulate a total of 12 grid squares or units.

The total distance traveled by the VR robot is 12 units. Turning around to face the original direction is simply a 180-degree turn, whether this is done to the left or to the right.

Answer:3.225 times 10 to the 13th power= 32250000000000

Step-by-step explanation:

(3.2•10^13)+(2.5•10^11)

3.2000000000000+2.50000000000

Answer:

17

Step-by-step explanation:

85 div 17 = 5

153 div 17 = 9

No higher number

Answer:

17

Step-by-step explanation:

factors of 85 : 1, 5, 17,85

factors of 153 :1 , 3 , 9 , 17, ..

HCF = 17

Answer:

Neither

Step-by-step explanation:

Answer:

D: Neither

Step-by-step explanation:

The volume of the wood is found using the formula for the volume of a rectangular prism, which is the product of its length, width, and height. Using the given dimensions, the wood's volume is 9 cubic inches. Density calculations would further require the wood's mass.

To find the volume of a piece of wood, you can apply the formula for the volume of a rectangular prism, which is length × width × height. For example, if a piece of wood has dimensions of 6 inches in length, 3 inches in width, and 0.5 inches in height, the calculation for its volume would be:

Volume of the wood = 6 in. × 3 in. × 0.5 in. = 9 in.³.

If we wish to discuss the density of wood, we would need its mass along with its volume. The density can then be calculated by dividing the mass by the volume. Knowing the density is useful as it can help determine if the wood will sink or float when placed in water, an example of the principle of buoyancy.

Answer:a) Subtract the two diameters and multiply by 3.14

d) Subtract the circumference of the hole from the circumference of the coin

Step-by-step explanation:

i just did the assignment

The possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin is

a)  Subtract the two diameters and multiply by 3.14

b) Subtract the circumference of the hole from the circumference of the coin

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the coin be represented by a circle

Now , The outer edge of the coin is having a diameter of d₁

The inner edge of the coin is having diameter of d₂

So , the difference between the distances from the outer edges and the inner edges of the coin is given by

A = ( d₁ - d₂ )π

A = 2πr₁ - 2πr₂

Hence , difference between the distances from the outer edges and the inner edges of the coin is solved

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Answer:

It increases the cost of your items

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Well tax is used to help pay for school and other government regulated actions so it wouldn't make sense to lower the price.

Answer:

11 + √65

Step-by-step explanation:

The distance between A and C is 7 units; the distance between C and B is 4 units. 7 will be a and 4 will be b. The distance between A and B is c, because it is unknown.

The Pythagorean Theorem states a² + b² = c². So, if you plug in the values for a and b, you will get 7² + 4² = c² which equals 49 + 16 = c², which equals 65 = c²

Now you have 65 = c², and the only way you can solve for c is to find the square root of 65. Since 65 is not a perfect square number and therefore does not have a whole number square root, you can leave it as √65.

Now the values you have are 7, 4, and √65. Add those together and you get 11 + √65. :)

Answer:

-3/2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Wynn needs to find the center of the data set shown on the dot plot. The dot plot has ___15__ dots. The dot plot has ___7___dots to the left of the center and dots to the right of the center. The center of the data set is _______8_______

We have assumed that the dot plot has 15 dots for the purpose of solving this case.

Step-by-step explanation:

The center of the dot plot is obtained by subtracting 1 from the total dots and dividing the result by 2.

The center of data is a single number that summarizes the entire data set.  It is called the Median.  The median represents the midpoint value of a data set, where the values are arranged in ascending or descending order.  Unlike the mean, the median can be used to find the center of data when the numbers in the data set contain one or more outliers.

It is one of the measures of central tendencies and the most accurate measure for that matter.

Wynn needs to find the center of the data set shown on the dot plot. The dot plot has 10 dots. The dot plot has 5 dots to the left of the center and dots to the right of the center. The center of the data set is 5.5.

To provide an accurate and complete response, I'll need to define a hypothetical dot plot. Let's assume we have a dot plot representing the following data set:

Now, let's break down the problem:

Number of dots on the dot plot:

  - Count the total number of dots: [tex]\(1 + 1 + 1 + 2 + 1 + 1 + 2 + 1 = 10\)[/tex]

  - So, the dot plot has 10 dots.

Finding the center of the data set:

  - The center of the data set is determined by the median when the data is ordered. Since there are 10 data points (an even number), the median will be the average of the 5th and 6th values when sorted.

Sorted data: [tex]\(2, 3, 4, 5, 5, 6, 7, 8, 8, 9\)[/tex]

The 5th value is 5, and the 6th value is 6. Therefore, the median is:

[tex]\[ \text{Median} = \frac{5 + 6}{2} = 5.5 \][/tex]

Number of dots to the left and right of the center:

  - Dots to the left of the median (5.5): [tex]\(2, 3, 4, 5, 5\)[/tex] (5 dots)

  - Dots to the right of the median (5.5): [tex]\(6, 7, 8, 8, 9\)[/tex] (5 dots)

- The dot plot has 10 dots.

- The dot plot has 5 dots to the left of the center and 5 dots to the right of the center.

- The center of the data set is 5.5.

Answer:

True

Step-by-step explanation:

It has four zero's to the right of the decimal point

Answer:

− 6 f + 12 e − 8

Step-by-step explanation:

Answer:

12e-6f-8

Step-by-step explanation:

You just multiply what is in parenthesis by 2.

Answer:

1 x 24 = 24

2 x 12 = 24

3 x 8 = 24

4 x 6 = 24

if the dimensions are whole numbers

Step-by-step explanation:

The possible dimensions for a rectangular banner with an area of 24 square feet are 1 ft x 24 ft, 2 ft x 12 ft, 3 ft x 8 ft, and 4 ft x 6 ft.

The question asks us to list all possible dimensions of rectangles that can be made with an area of 24 square feet. Rectangles with the same area can have different dimensions if the length and width are factor pairs of the area. For 24 square feet, we look for pairs of numbers that multiply to give us 24.

1 ft x 24 ft

2 ft x 12 ft

3 ft x 8 ft

4 ft x 6 ft

These are all the combinations of whole number dimensions that would result in an area of 24 square feet for the banner.

Answer:

  (x, y) = (5, 7)

Step-by-step explanation:

It can be useful to put these equations into standard form, with mutually-prime coefficients and a positive x-coefficient.

  10x +y -(4x +4y) = 9 . . . . . subtract the variable terms on the right

  6x -3y = 9  . . .  simplify

  2x -y = 3 . . . . . divide by 3 to put in standard form

__

  (x +10y) -(10x +y) = 18 . . . . . subtract the variable terms on the right

  -9x +9y = 18  . . .  simplify

  x -y = -2 . . . . . . . divide by -9 to put in standard form

__

Now, we can subtract the second equation from the first.

  (2x -y) -(x -y) = 3 -(-2)

  x = 5

  y = x+2 = 7 . . . from the second simplified equation

The solution is (x, y) = (5, 7).

Answer:

1/8

Step-by-step explanation:

Volume is base times width times height. 4/2x 1/4x 1/4= 1/8

Answer:

B) As the x-values increase, the y-values tend to decrease

Answer:the answer is B

Step-by-step explanation:

Answer:

r/2

Step-by-step explanation:

Answer:

r/2

Step-by-step explanation:

Answer:

x = 2.20

Step-by-step explanation:

3(x+3)^2 = 81

(x+3)^2 = 81/3

(x+3)^2 = 27

x+3 = 5.20

x = 5.20 - 3

x = 2.20

Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ±  = ± 3 ( subtract 3 from both sides )

x = - 3 ± 3

x = - 3 - 3 or x = - 3 + 3 → a

Answer:

the answer is C 18 inches

Step-by-step explanation:

first, set up a proportion as such:

32/12 = 48/x

next, cross multiply to get:

576 = 32x

and solve for x:

x = 18

hope this helps

Answer:

B

Step-by-step explanation:

When they say equation that means that something is EQUAL to something else. So, when there is no equal sign, there is no equation. All but B have an equal sign so they are equations.

Though B, does not have an equal sign it is just an expression.

The option B 43(4x + 7y) is not an equation; it is an expression

From the question, we have the following parameters that can be used in our computation:

The list of options in relation to equations

By definition

Equations are expressions represented by the "=" symbol where all sides of the symbol are equal

Using the above as a guide, we have the following:

A 3b = 5 --- True

B 43(4x + 7y) --- False; it is an expression

C 78 = 3p - 37 --- True

D a - 17 = 1,825,026--- True

Hence, B 43(4x + 7y) is not an equation

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Answer:

ZX = 68.6 feet

Step-by-step explanation:

In this question, we are asked to calculate the length of ZX.

please check attachment for diagram of triangle.

Now, we have to use trigonometric identities to get the length xz.

Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.

The trigonometric identity to use here is the Cosine.

Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.

Cos 20 = xz/73

xz = 73 Cos 20

xz = 73 * 0.939692620786

xz = 68.6 feet

Answer:

x difference is 8

Step-by-step explanation:

Y values are the same so just find the difference in -4 and 4