Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.

Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D

B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C

C. A student would be twice as likely to select answer choice C than answer choice A

D. A student would be less likely to select answer choice B than answer choice A

Answer: 55.8 Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

18.6 * 3 = (18 * 3) + (0.6 * 3) =

54 + 1.8 =

55.8

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Answer:55.6

Step-by-step explanation:

55.6

Hence , the price of the system $295 .

Let the price of the system be "x" .

It is given that in the first week her savings were $8 less than 2/5 the price of the system which can be represented by equation

First week savings =  (2/5)x -8

It is also given that in the second week, she saved 50 cents more than 1/2 the price of the system which can be represented by equation

Second week savings = (1/2)x +0.5

savings + short = price of system

(2/5)x -8 + (1/2)x +0.5 + 37 = x

 (2/5)x +  (1/2)x + 29.5 = x

   4x + 5x/ 10 + 29.5 = x

     9x/10+ 29.5 = x

       0.9x + 29.5 = x

          29.5 = x - 0.9x

           29.5 = 0.1x

           $ 295 = x

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Answer:

51

Step-by-step explanation:

No, the Adoncia drawing will not fit on the drawing sheet.

Given adoncia is drawing to scale, she uses a 15-foot scale in the 1-inch monument. And in the drawing, the front of the monument is about 80 feet high and 200 feet long.

The given parameters are;

The scale of the drawing in the front of the monument is 15 ft = 1 in.

Actual size of the monument;

Height = 80 feet

Length = 200 feet.

So we have;

Required size of  paper height = 80/15 = 16/3 = 5.33 in.

Required size of  paper length = 200/15 = 40/3 = 13.33 in.

The size of the paper is 11 in. about the size of a standard 8.5-inch sheet of letterhead. equals 11 in.

Design length, 13.33" > Paper length > 11".

Therefore, when Adoncia draws a scale drawing of the front of the linco and she uses the 15ft scale  in the 1in monument, the drawing does not fit on the paper.

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The quotient when we divide the amount of white sugar by the brown sugar will be 2 2/3

From the information, it was stated that Carol is baking cookies and needs 2/1/4 cups of flower 2/3 cups with sugar 1/4cups of brown sugar and 1/16 cups of baking soda.

The quotient when we divide the amount of white sugar by the brown sugar will be:

= 2/3 ÷ 1/4

= 2/3 × 4/1

= 2 2/3

Therefore, the quotient is 2 2/3.

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Carol is baking cookies and needs 2 1/4 cups of flour 2/3 cup of white sugar 1/4 cup of brown sugar and 1/16 cup of baking soda use this information to answer the following questions

divide the amount of white sugar by the amount of brown sugar. what is the quotient? (must be a fraction)

Answer:

the answer is a because if you calculate it correctly that the answer I got

Answer:

[tex] \sf \large \: - 10[/tex]

Step-by-step explanation:

−7+a

Evaluate for a=−3

−7+−3

=−10

Answer:

-10 given a = -3

Step-by-step explanation:

-7 + -3 = -10

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The new flat screen television that Tracy bought has a diagonal length of 56 inch

With the information given we can calculate the diagonal length of the television using the Pythagorean theorem equation.

The formula and the procedure that we have to use is:

h2= a2 + b2

Where:

Information about the problem:

Applying the Pythagorean theorem and finding the variable, we get:

h² = a² + b²

h² = (27 inch)² + (49 inch)²

h² = 729 inch² + 2401 inch²

h² = 3130 inch²

h = [tex]\sqrt{}[/tex]3130 inch²

h = 55.95 inch rounding up we get 56 inch

It is a mathematical equation that relates the three sides of a right angled triangle (major side, minor side and hypotenuse) and states that the sum of the squared sides equals the squared hypotenuse. Its general equation is:

h² = a² + b²

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Answer:

9.3

Step-by-step explanation:

0.31

× 0.30

-----------------

0.30

9.30

-----------

9.6

The value of expression by using common factor is  x³y² (x - 6y).

Here,

The expression is,

x⁴y² - 6x³y³

We have to solve by using common factor.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The expression is,

x⁴y² - 6x³y³

By using common factor we solve as,

x⁴y² - 6x³y³ = x*x*x*x*y*y - 6*x*x*x*y*y*

                  = x³y² (x - 6y)

Hence, The value of expression by using common factor is  x³y² (x - 6y).

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Answer:59

Step-by-step explanation:

81-22=59

answer is 59 because 59 is a prime number

The dimensions of the original photo are 6 x 6.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The formula for a square's area, A = s², is the side length raised to the power of two. The 256 in2 section of the larger image was made available to us. Additionally, it was mentioned that the length of the expanded image is equal to the original image's length plus ten inches.

We can therefore create an equation to solve for x, which stands for the length of the original snapshot, based on the aforementioned statements.

A = s²

where s = ( x + 10 )

A = ( x+10 )² = 256

Solving for x,

x = 6 in.

The dimensions of the original photo are 6 x 6.

The complete question is given below:-

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo. What were the dimensions of the original photo?

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The change in temperature should be 1208 - (-208).

Answer:

little tricky question but i managed to do it..

The right answer is that there are four electrons.

The charge number of an atomic nucleus is the chemical element's atomic number, also known as the nuclear charge number.

For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.

Equal numbers of protons and electrons make up a neutral atom. This figure establishes the atom's atomic number.

The fourth element on the periodic table is beryllium.

Number of protons in Be-atom = 4

Number of electrons in Be-atom = 4

Therefore, it is true that there are four electrons.

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The volleyball team ended up practicing for 1.2 hours on Friday.

The total number of hours the volleyball team practiced on Monday, Tuesday, Wednesday, and Thursday can be determined by adding the values given in the statement.

Therefore,

the total number of hours the team practiced on Monday, Tuesday, Wednesday, and Thursday=0.5 hours+1.3hours+2.2hours+0.8hours= 4.8 hours

Total number of hours the team practiced last week = 6 hours

The number of hours they practiced on Friday can be calculated by subtraction of the total number of hours of the week from the total number of hours on Monday, Tuesday, Wednesday, and Thursday.

Hence, the number of hours the team practiced on Friday = 6 - 4.8= 1.2 hours.

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Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

Answer:

x = 1/2 and

x = -15/2

Step-by-step explanation:

First, get the absolute value alone on one side if the equation.

2 |2x + 7 | = 16

Divide both sides by 2.

| 2x + 7 | = 8

Once the absolute value sign is by itself, you will separate the equation into two separate equations.

2x+7=8 and 2x+7=-8

Solve these two equations separately and get two solutions.

2x + 7 = 8

Subtract 7.

2x = 1

Divide by 2.

x = 1/2 Here is one solution.

2x + 7 = -8

Subtract 7.

2x = -15

Divide by 2.

x = -15/2 Here is a second solution.

Answer:

x = - [tex]\frac{15}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

2 | 2x + 7 | = 16 ( divide both sides by 2 )

| 2x + 7 | = 8

the absolute value function always gives a positive result, but the expression inside can be positive or negative , that is

2x + 7 = 8 ( subtract 7 from both sides )

2x = 1 ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex]

or

- (2x + 7) = 8

- 2x - 7 = 8 ( add 7 to both sides )

- 2x = 15 ( divide both sides by - 2 )

x = - [tex]\frac{15}{2}[/tex]

As a check

substitute these values into the left side and if equal to the right side then they are a solution

x = [tex]\frac{1}{2}[/tex]

2 | 2([tex]\frac{1}{2}[/tex] ) + 7 | = 2 | 1 + 7 | = 2 | 8 | = 16 = right side

x = - [tex]\frac{15}{2}[/tex]

2 | 2(- [tex]\frac{15}{2}[/tex] ) + 7 | = 2 | - 15 + 7 | = 2 | - 8 | = 2 | 8 | = 16 = right side

then x = - [tex]\frac{15}{2}[/tex] and x = [tex]\frac{1}{2}[/tex] are the solutions

Answer:

Step-by-step explanation:

x=2

Step-by-step explanation:

do 1.50 times 10 and the multiple by 30 to get the answer

The ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³.

To find the ratio of the lengths of the model to the actual distance, we need to compare the lengths in the same unit. Let's convert the actual distance between the Sun and Earth from meters to centimeters, so both values are in centimeters.

1 meter = 100 centimeters

Actual distance from the Sun to Earth = 1.50 x 10¹¹ meters

Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter

Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter = 1.50 x 10¹³ centimeters

Now, we can compare the lengths:

Length on the model = 30 centimeters

Actual distance from the Sun to Earth = 1.50 x 10¹³ centimeters

The ratio of the lengths of the model to the actual distance is:

Ratio = Length on the model / Actual distance from the Sun to Earth

Ratio = 30 centimeters / (1.50 x 10¹³ centimeters)

To simplify this ratio, let's express the actual distance in scientific notation:

1.50 x 10¹³ = 15 x 10¹² = 1.5 x 10¹³

Now, the ratio becomes:

Ratio = 30 centimeters / (1.5 x 10¹³ centimeters)

Now, notice that both values are in the same unit (centimeters). We can proceed with the division:

Ratio ≈ 0.0000000000002

Therefore, the ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³. This means that every 1 centimeter on the model represents approximately 2 x 10⁻¹³ centimeters in actual distance between the Sun and Earth.

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The number of visits that Alang makes to earn a free movie ticket will be 8.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Alang has a rewards card at a cinema.

The mere act of joining up earns him 55 reward points.

Every time he enters a movie theater, he receives 3.5 points.

To receive a free movie ticket, he needs 83 points.

Let x be the number of visits. Then the equation is given as,

3.5x + 55 = 83

Simplify the equation, then the value of x will be

3.5x = 83 - 55

3.5x = 28

x = 28 / 3.5

x = 8

The number of visits that Alang makes to earn a free movie ticket will be 8.

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Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

The LCM of the set of numbers are:

1. {12,15} = 60

2. {16,24} = 48

3. {18,27} = 54

4. {20,28} = 140

5. {36,54} = 108

6. {9,12,24} = 72

7. {15, 20, 45} = 180

8. {6,8,12} = 24

9. {4,6,9} = 36

10. {8,9,12} = 72

The least common multiple of two or more numbers is the least multiple that is common to two or more numbers. A multiple of a number is the product of an integer and that number. For example, the multiples of 6 are 12 and 18.

Prime factors of 12 = 2 x 2 x 3

Prime factors of 15 = 3 x 5

LCM = 2 x 2  x 3 x 5 = 60

Prime factors of 16 = 2 x 2 x 2 x 2

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 2 x 3 = 48

Prime factors of 18  = 2 x 3 x 3

Prime factors of  27  = 3 x 3 x 3

LCM = 2 x 3 x 3 x 3 = 54

Prime factors of 20  = 2 x 2 x 5

Prime factors of 28  = 2 x 2 x 7

LCM = 2 x 2 x 5 x 7 = 140

Prime factors of 36  =2 x  2 x 3 x 3

Prime factors of 54  = 2 x 3 x 3 x 3

LCM = 2 x 2 x3 x 3 x3 = 108

Prime factors of 9  = 3 x 3

Prime factors of 12 = 2 x 2 x 3

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

Prime factors of 15 = 3 x 5

Prime factors of 20 = 2 x 2 x 5

Prime factors of  45 = 3 x 3 x 5

LCM = 2 x 2 x 3 x 3 x 5 = 180

Prime factors of 6  = 2 x 3

Prime factors of 8= 2 x 2 x 2

Prime factors of  12= 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Prime factors of 4  = 2 x 2

Prime factors of 6= 2 x 3

Prime factors of  9= 3 x 3

LCM = 2 x 2 x 3 x 3 = 36

Prime factors of 8 = 2 x 2 x 2

Prime factors of 9= 3 x 3

Prime factors of 12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

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Answer:

Step-by-step explanation:

Write each statement as a conditional.

a. A triangle with all angles congruent is equilateral.

b. Alberto can go to the movies if he washes the car.

a. If all angles of a triangle are congruent then the triangle is an equilateral triangle

b. If Alberto washes the car he can go to the movies