Mathematics High School

## Answers

**Answer 1**

The missing x- and **y-values** and **Pythagorean triples** using the **identity** is (24,70,74)

What is Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a **triple **is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple,

Simply put (x² - y²)² + (2xy)² = (x² + y²)²

X Value: 6

Y Value: 2

Pythagorean Triples: ?

X Value: 5

Y Value: ?

Pythagorean Triples: (9,40,41)

X Value: ?

Y Value: 3

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

Pythagorean Triples: ?

**Pythagorean triples** are three numbers p, q, r, that satisfy Pythagoras' theorem.

That is, they are numbers such that

r² = p² + q².

Given the **identity**

(x² - y²)² + (2xy)² = (x² + y²)²

We can say that

p = x² - y²

q = 2xy

r = x² + y²

Now, let us use this to **solve** the given problems.

X Value: 4

Y Value: 3

p = 4² - 3² = 7

q = 2×3×4 = 24

r = 3² + 4² = 25

Pythagorean Triples: (7,24,25)

X Value: 5

Y Value: ? = (4)

q = 2xy = 40

2×5×y = 40

y = 40/10 = 4

Pythagorean Triples: (9,40,41)

X Value: ? = (6)

Y Value: 3

2xy = q = 36

2×3×x = 36

x = 36/6 = 6

**Pythagorean Triples:** (27,36,45)

X Value: 7

Y Value: 5

p = 7² - 5² = 24

q = 2×7×5 = 70

r = 7² + 5² = 74

Pythagorean Triples: ? = (24,70,74)

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Correct question

Find the missing x- and y-values and Pythagorean triples can be generated using the identity given. Write the triple in parentheses, without spaces between the values, with a comma between values, and in order from least to greatest

## Related Questions

Question 6

Bobby has a new 100-foot leash for his pet bird. His bird is flying at the end of its leash at a 30° angle

from the horizon while Bobby holds the leash 5 feet in the air. Draw a picture and calculate how far

the bird is above the ground. Hint 30-60-90 Special Triangle

### Answers

The **bird** is 55 ft above the **ground**

How to find her horizontal distance from the turtle?

**Trigonometry** is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled** triangle **with its angles.

Check the attached image for the drawing.

From the drawing:

sin 30° = x/100 (opposite/hypotenuse)

x = 100 * sin 30°

x = 50 ft

**heigh**t of the bird above the ground = x + 5

height of the **bird **above the **ground **= 50 + 5 = 55 ft

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177 pounds nine players, and three reserve players 188 pounds. Find the means weight of the three reserve players

### Answers

The** mean** weight of the three reserve** players **is 221 pounds.

We can begin by** finding** the total weight of the nine players:

9 players x 177 pounds per player = 1593 pounds

Next, we can find the total weight of all twelve players (nine players and three reserves):

12 players x 188 **pounds** per player = 2256 pounds

To find the total weight of the three **reserve** players, we can **subtract **the weight of the nine players from the weight of all twelve players:

2256 pounds - 1593 pounds = 663 pounds

Finally, to find the mean weight of the three reserve players, we divide their total weight by their **number**:

663 pounds / 3 players = 221 pounds

Therefore, the mean weight of the three reserve players is 221 pounds.

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populations of the florida panther were reduced to very low levels in the second half of the twentieth century. in 1968, an extension of a major highway divided the population into a northern and southern population. if we assume hardy-weinberg equilibrium (including no selection), and then we estimate the effective population sizes to be 75 individuals on each side of the highway and measure an fst of 0.1, then what can we conclude about the effect of the highway on florida panthers?

### Answers

The **highway** has had a negative effect on the genetic diversity of the Florida panther population by **reducing gene flow **and increasing genetic differentiation between the northern and **southern subpopulations.**

This can lead to a decrease in** genetic variation **within each subpopulation and a loss of adaptive potential, which may increase the risk of inbreeding depression and reduced fitness.

Assuming **Hardy-Weinberg equilibrium, **the expected value of Fst under random mating is:

Fst = (Ht - Hs) / Ht,

where Ht is the expected heterozygosity of the total population and Hs is the expected heterozygosity of the subpopulations.

If we assume that the two subpopulations have equal effective population sizes of 75 individuals, then the expected heterozygosity of the total population is:

Ht = (2 * 75 * (1 - (1/2N))) / (2 * 75 - 1),

where** N is the total population size** (150 in this case) and 1/2N is the frequency of alleles that are identical by descent due to common ancestry.

Since the** subpopulations** are assumed to be in Hardy-Weinberg equilibrium, the expected **heterozygosity** of each subpopulation is:

Hs = 2pq,

where p and q are the frequencies of the two alleles in each subpopulation.

With an Fst of 0.1, we can use the above equations to solve for p and q in each subpopulation. We find that p = 0.73 and q = 0.27 in the northern subpopulation, and p = 0.66 and q = 0.34 in the southern subpopulation.

Comparing these frequencies, we can see that there is a significant genetic differentiation between the two subpopulations, indicating limited gene flow between them. The highway likely acts as a barrier to dispersal, preventing or reducing the movement of individuals between the northern and southern subpopulations.

Therefore, we can conclude that the highway has had a negative effect on the genetic diversity of the **Florida panther population** by reducing gene flow and increasing genetic differentiation between the northern and southern subpopulations. This can lead to a decrease in genetic variation within** each subpopulation** and a loss of adaptive potential, which may increase the risk of inbreeding depression and reduced fitness.

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3x³-6x²+3x-7/9 is divided by 3x-4

### Answers

**Answer:**

[tex]x^{2}[/tex]-[tex]\frac{2}{3}x[/tex]+[tex]\frac{1}{9}[/tex]-[tex]\frac{1}{3(3x-4)}[/tex]

**Step-by-step explanation:**

Name at least 5 3d shapes that can be seen in this picture.

Please refer to the attached screenshot and pls answer quickly.

### Answers

**Answer:**

Cylinder, pyramid, cube, cuboid, prism

**Step-by-step explanation:**

Henry has 878 pegs in each box if there are 7 boxes how many pegs does he have in total?

### Answers

If **Henry** has 878 pegs in each box if there are 7 **boxes** then he has 6146 total **pegs**.

Number of pegs in one box = 878

Thus, number of **pegs** in 7 boxes = 878 × 7

= 6146 pegs

Hence **Henry** has 6146 pegs in 7 boxes.

This is a concept of multiplication. **Multiplication** in mathematics is a technique for determining the sum of two or more numbers. It is one of the fundamental operations in **mathematics** that we perform on a daily basis. Multiplication tables are the main application that is obvious.

In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two **numbers**. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Tom has a choice between borrowing $250 from his grandmother, who will charge him simple interest, or borrowing $250 from the bank, which will charge him compound interest at the same percentage rate. He plans to pay off the loan in 8 months. He wrote the two expressions below to figure out how much he would owe for both loan options.

250 (1.02)^8

250 + 8 (5.00)

What percent will he be charged?

Which expression represents the amount he would owe his grandmother?

Which one represents what he should owe the bank?

### Answers

The **percentage** that **Tom **will be charged is 2 % per month or 24 % per annum.

The **expression** for the amount owed to the **grandfather **is 250 + 8 (5.00).

The expression for the amount owed to the **bank** is 250 (1.02 ) ^ 8.

How to find the percentage ?

The **percentage** can be found by dividing the **interest payment **by the total amount borrowed :

= 5 / 250

= 2 %

In a year, this is :

= 2 % 12 months

= 24 %

The **expression **for the amount **owed **to the **bank** is 250 (1.02)^8 because this is the way compound interest is represented. The other expression is therefore owed to the grandfather.

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consider an invertible symmetric n×n matrix a. when does there exist a nonzero vector v in rn such that av is orthogonal to v? give your answer in terms of the signs of the eigenvalues of a.

### Answers

If an invertible symmetric n×n matrix A has a** nonzero vector v** in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th **peroperties** of the dot product, we can rewrite this equation as:

v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:

v . A v = 0

This equation can be further **simplified** using the properties of the dot product:

v . A v = (A v) . v = 0

From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which** contradicts** the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.

Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is **orthogona**l to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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how many perfect cubes lie between and , inclusive? how many perfect cubes lie between and , inclusive?

### Answers

Between **100 **and **1000 **perfect **cubes **are 10-5+1=boxed6.

As per the question given,

To find the **number **of perfect cubes between 100 and 1000, we can **find **the **largest **perfect cube less than or equal to 1000 and the smallest perfect cube greater than or **equal **to 100, and then count the number of perfect cubes between them.

The largest **perfect **cube less than or equal to 1000 is 10^3=1000. The **smallest **perfect cube **greater **than or equal to 100 is 5^3=125. Therefore, the perfect cubes **between **100 and 1000 are the cubes of the **integers **from 5 to 10, inclusive. There are 10-5+1=\boxed{6} perfect cubes between 100 and 1000.

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The sum of my two number is 4.one of my number is negative 6

### Answers

If the **sum of two numbers** is 4 and one number is -6, then the second number is 10

The sum of two numbers = 4

The** first number** = -6

Consider the second number as x

Then the **equation** will become

The first number + second number = The sum of two numbers

**The second number** = The sum of two numbers - The first number

Substitute the values of each term in the equation

-6 + x = 4

Move -6 to the right-hand side of the equation

x = 4 + 6

**Addition** of the numbers in the equation

x = 4 + 6

x = 10

Therefore, the second number will be 10

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Fill in the missing numerators to make equivalent fractions

### Answers

The **expression **when the **fractions** are equivalent is 3/4 = 6/8

How to make the fraction equivalent

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

3/4 = []/8

Represent the **blank **with a **variable **x

So, we have the following representation

3/4 = x/8

Make the variable x the **subject **of the **formula**

So, we have the following representation

x = 8 * 3/4

Evaluate

x = 6

Hence, the **missing numerator **is 6

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**Complete question**

Fill in the missing numerators to make equivalent fractions

3/4 = []/8

A rectangular garden is 5 ft longer than it is wide. Its area is 696 ft2. What are its dimensions?

### Answers

The **dimensions **of the garden are 24 ft by 29 ft.

Let's say the **width** of the rectangular garden is x feet.

Then the length is 5 feet longer than the width, so the length is (x+5) feet.

The area of a **rectangle** is given by the formula: A = length x width.

We are given that the area is 696 square feet, so we can set up the equation:

696 = (x+5) * x

Simplifying this equation, we get:

696 = x^2 + 5x

Rearranging terms, we get:

x^2 + 5x - 696 = 0

This is a **quadratic equation** that can be factored as:

(x + 29)(x - 24) = 0

So the solutions are x = -29 or x = 24.

Since the **width** can't be negative, we can discard x = -29 and conclude that the width of the garden is 24 feet.

The **length** is 5 feet longer than the width, so the length is:

x + 5 = 24 + 5 = 29

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Un avión que parte del reposo se acelera uniformemente hasta una velocidad de despegue de 85m/s en un periodo de 5 segundos

### Answers

**Answer:**

I have questions about how to make the sentence easier

A car travels 120m along a straight road that is inclined at 8°to the horizontal.

calculate the vertical distance through which the car rises

### Answers

The car rises by **approximately 16.43 **meters along the **vertical direction.**

How to determine the vertical distance through which the car rises

The **vertical distance** through which the car rises is equal to the component of the distance **traveled t**hat is perpendicular to the ground.

If the road is inclined at an **angle of 8° **to the horizontal, then the angle between the direction of motion and the **horizontal **is also 8°.

Therefore, the **component **of the distance traveled that is perpendicular to the ground is:

d = **120 sin 8°**

Using a calculator, we get:

d ≈ **16.43 meters**

Therefore, the car rises by **approximately 16.43** meters along the **vertical direction**.

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The ratio of boys to girls of members belonging to a science club is 3: 2. total monthly dues of GHC144.00. Find the amount payable per month fo a boy ii. a girl

### Answers

The **amount **payable to the **boys **out of GHC144 is GHC 86.4.

What is Ratio?

A **ratio** is a comparison between two **amounts **that is calculated by **dividing** one amount by the **other**. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. **Ratios **are represented by the **colon symbol **(:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Total **amount** = GHC 144

Ratio = 3 :2

**Total **of ratio= 3+ 2 = 5

So, amount that **boys **will get

= 3/5 x 144

= GHC 86.4

and, **amount **that **girls **will get

= 2/5 x 144

= GHC 57.6

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Which statement is true about the end behavior of the graphed function?

As the x-values go to positive infinity, the function’s values go to positive infinity.

As the x-values go to zero, the function’s values go to positive infinity.

As the x-values go to negative infinity, the function’s values are equal to zero.

As the x-values go to negative infinity, the function’s values go to negative infinity.

### Answers

The values of the **function** increase as the x-values approach **negative** infinity.

Limit of function:

The theory of limits of** functions** serves as the basis for **calculus** because it underpins the concept of a **derivative**. How do limits work?Let's explain what "limit" means using an **illustration**. Consider the function f. (x). X should have values that are close to the provided constant "a." Then, the relevant set of values are taken by f(x).

It is **determined** that the following choice of the function's end behavior is correct using limit concepts:

The values of the function **increase **as the x-values approach negative infinity.

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

The end behavior of a function f(x) is given by [tex]\lim_{x \to \infty} f(x)[/tex]

We can see from the graph that the function grows when x **approaches** both negative and **positive** infinity since y is heading upward. Thus,

[tex]\lim_{x \to \infty}f(x)= \infty[/tex] , and thus, the correct option is the second one, that is:

The values of the function increase as the **x-values** approach negative infinity.

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PLEASE HELP I NEED A ANSWER ASAP Use the model below to complete the sentence by selecting the correct options from each drop-down list.

3 bars each labeled

There are ____ _____ in 3 units.

(WILL GIVE BRAINLIST IF ITS CORRECT)

### Answers

The complete sentence is, There are **12 quarters** in 3 units.

What is a quarter?

A quarter represents **one-fourth **of the whole part.

A quadrant of a circle is the quarter of the complete circle.

From the given information 3 lines are given and each line is divided into 4 parts so we can call each part a quarter.

Therefore, The statement is, There are 12 quarters in 3 units.

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What does it mean if a system of two linear equations has one solution? An infinite number of solutions? No solutions?

### Answers

If a **system** of two **linear equations** has one solution, the two lines will **intersect** at exactly one point on the graph.

**What is a Linear Equation?**

A **linear equation** is the one in which the **variables** are raised to **power** 1 or -1.

The solution of an equation refers to all the possible values of the variable that can satisfy the equation.

Linear equations can be solved graphically by plotting the lines of the given equations and the point of intersection of lines gives the solution.

The lines will intersect as many times as there are solutions to the given system of linear equations.

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1) A Telemarketer has a 5% success rate on calls.

He makes 129 calls before dying of boredom.

What is the expected number of sales?

(although a number of sales will be an integer, the average number does not have to be)

A) E(sales) = 9.45

B) E(sales) = 12.45

C) E(sales) = 6.45

D) E(sales) = 3.45

2) What is the probability that the teleworker make 10 sales?

A) P(10 sales) = 5.4%

B) P(10 sales) = 1.7%

C) P(10 sales) = 7.1%

D) P(10 sales) = 4.5%

### Answers

The **values **of the **expected number **and **probability **are;

Option C. E(sales) = 6.45

Option A. P(10 sales) = 5.4%

How to determine the value

The formula for calculating the **expected numbe**r of sales is expressed as;

E = N × P

Given that the parameters are;

E is the expected numberN is the number of trialsP is the** probability** of** successes**

Then, we have;

E(sales) = 129 × 0. 05

multiply the values

E(sales) = 6.45

The probability of teleworker making 10 sales;

P(10 sales) = 6.45/129-10 × 100/1

P(10 sales) = 5.4%

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A prism has a volume of 504 cubic feet, a length of 8 feet, and a width of 9 feet. What is the height of the prism rounded to the nearest foot?

### Answers

Volume is length X width X height. 504 divided by 9 divided by 8 = 7

n a survey of 1227 people, 879 people said they voted in a recent presidential election. Voting records show that 69% of eligible voters actually did vote. Given that 69% of eligible voters actually did vote, (a) find the probability that among 1227 randomly selected voters, at least 879 actually did vote. (b) What do the results from part (a) suggest?

Question content area bottom

Part 1

(a) P(X≥879)=enter your response here

### Answers

**a)** The **probability **that at least 879 actually did vote is given as follows:

P(X≥879) = 0.0244.

**b) **The result **suggests **that there is enough evidence to consider that the proportion is greater than 69%, as the probability is less than 0.05.

How to obtain probabilities using the normal distribution?

The **z-score** of a **measure X** of a variable that has **mean **symbolized by [tex]\mu[/tex] and **standard deviation** symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score **represents **how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the **p-value** associated with the calculated z-score is found, and it represents the **percentile **of the measure X in the distribution.The **binomial distribution** is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

The **parameters **of the binomial distribution for this problem are given as follows:

n = 1227, p = 0.69.

Hence the **mean **and the **standard deviation** are given as follows:

[tex]\mu = 1227 \times 0.69 = 846.63[/tex][tex]\sigma = \sqrt{1227 \times 0.69 \times 0.31} = 16.2[/tex]

The **probability **that at least 879 people voted, using continuity correction, is one subtracted by the p-value of Z when X = 878.5, hence:

Z = (878.5 - 846.63)/16.2

Z = 1.97

Z = 1.97 has a p-value of 0.9756.

1 - 9756 = 0.0244 = 2.44%.

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Name each level of measurement for which data can be qualitative.

Select all the levels of measurement for which data can be qualitative.

A. Nominal Your answer is correct.

B. Ratio

C. Interval

D. Ordinal

### Answers

**Answer:**

qualitative and ordinal.

**Step-by-step explanation:**

They are both two types of qualitative data under Categorical data.

**Nominal **and **ordinal **are the levels of measurement for which data can be qualitative. Therefore, the correct option is **option A, D.**

**What is level of measurement?**

A categorization that describes the type of information contained inside the importance attributed to variables is called level of **measurement **and scale of measure. The most well-known **classification **was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several **measurement **levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. **Nominal **and **ordinal **are the levels of measurement for which data can be qualitative.

Therefore, the correct option is** option A, D.**

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The table shows values for functions f(x) and g(x) .

### Answers

**Answer:**

x = 0 and x = 1

**Step-by-step explanation:**

Look in the second and third columns where the number is the same.

On the row where x = 0, both f(x) and g(x) turn out to be 1.

On the row where x = 1, both f(x) and g(x) turn out to be 1/2.

They are asking you to point out where f(x) and g(x) are the same. This is happening at x = 0 and x = 1

In case you didn't know, on some of the online platforms, when the answers have circles beside them, there is one right answer. When the answers have squares beside them, you are able to mark more than one right answer (which there may or may not be more than one right answer.)

a box of candy hearts contains 52 hearts of which 20 are white, 10 are yellow, 8 are pink, 2 are purple, and 12 are green. if you select 7 pieces of candy randomly from the box, without replacement, what's the probability that: a. exactly three of the hearts are white? b. four are white, 1 is yellow, and 2 are green?

### Answers

**The probability** of exactly three of the hearts are white is 0.3061

**Total number** of candy heart = 52

Number of white candy heart = 20

Number of yellow candy heart = 10

Number of pink candy heart = 2

**Number of green candy** heart = 12

You select 7 pieces of candy randomly from the box, **without replacement**.

The number of ways to select 3 white hearts out of 20

= C(20, 3) = 1140

**The number of ways** to select 4 non-white hearts out of 32

C(32, 4) = 35960

Total number of ways to select exactly** three white hearts**

= 1140 * 35960

= 41006400

The total number of ways to select **7 hearts** out of 52

C(52, 7) = 133784560

Probability of selecting exactly three white hearts

41006400 / 133784560

= 0.3061

Therefore, the probability is 0.3061

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simplify the ( -3x³y²z)4

### Answers

The **index form **is **simplified **to -12x4y²4z

**What are index forms?**

**Index forms** are described as** mathematical** forms of writing numbers or variables that are large or small in a more convenient way.

Other names for index forms are;

Scientific notationStandard forms

They are are numbers with power or exponents of variables or numbers.

From the information given, we have that;

( -3x³y²z)4

To simply, expand the bracket, we have;

-12x4y²4z

Hence, the **expression **is -12x4y²4z

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(Statistical Measurements LC)

A student earned the scores in the data set in one course.

{90, 87, 58, 79, 91}

What is the mean of the scores?

33

58

81

87

### Answers

The mean can be **calculated** by adding the numbers together and **dividing** the result by the number of **observations**. The mean of scores is 81.

What is Mean?

In mathematics and **statistics**, the concept "mean" refers to the mean of a set of **variables**. There are several ways to determine the mean, including geometric means, harmonic means, and simple **arithmetic **means (putting the numbers together and dividing the result by the amount of observations).

How to Find the Mean

Finding the mean is very simple. **Add** up all the numbers, then **divide** it by the quantity of observations. The mean formula is below:

[tex]\frac{x_1+x_2+,,,,,,,,,,x_n}{n}[/tex]

We know that mean of a given set of data,

[tex]Me an=\frac{Total Sum of given data }{total number of values given}\\\\\\ Mean=\frac{90+87+58+79+91}{5} \\\\Mean=\frac{405}{5} \\\\Mean=81[/tex]

Hence, mean of the given **scores** is 81.

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Question 1

Theresa estimated that a caterpillar was 5 centimeters long. Later, she found its actual length to be 5.4 centimeters.

Enter numbers into the boxes to write an expression for the percent error in her estimate.

### Answers

An **expression** for the percent error in Theresa estimate is (5.4-5)/5 ×100.

What is percentage?

**Percentage** is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Theresa estimated that a caterpillar was 5 centimeters long. Later, she found its actual length to be 5.4 centimeters.

Now, percent error = (Actual **length**-Expected length)/Expected length ×100

= (5.4-5)/5 ×100

= 0.4/5 ×100

= 0.08×100

= 8%

Therefore, the **percent** error in Theresa estimate is 8%.

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Change the denominator of the fraction

p/p-2 to 4-p^2

### Answers

The **fraction **with the required **denominator **is (-2p -p²)/(4-p²).

What is a fraction?

An element of a whole is a **fraction**. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the **denominator**.

Given:

A **fraction**, p/p-2.

To **change **the **denominator **to 4-p²:

**Multiply **and **divide **the fraction by (-2-p),

we get,

p/(p - 2) x (-2-p)/ (-2-p)

= (-2p -p²)/(4-p²)

Therefore, the **fraction **is (-2p -p²)/(4-p²).

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please help me it's too confusing I don't understand

### Answers

**Arun's mistake** is that for the multiplication of 24 by 1, he should have added only one zero, instead of two zeros.

The** correct result **of the product is of 288.

How to multiply the numbers?

The multiplication **operation **for this problem is given as follows:

24 x 12.

Then the **two separate **products are given as follows:

24 x 2 = 48.24 x 1 = 24.

To the (n - 1)th product, we add a zero, and then add each product, hence the **result **is given as follows:

48 + 240 = 288.

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Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?

Responses

A x − 5 = 9x − 5 = 9

B x + 5 = −9x + 5 = −9

C x − 5 = −9x − 5 = −9

D x + 5 = 9x + 5 = 9

### Answers

D. X is representing kyle so kyle is 5 miles more than Cameron.