Is the spinner below , what is the probability of lading on 2 ? Help me !!!!

Is The Spinner Below , What Is The Probability Of Lading On 2 ? Help Me !!!!

Answers

Answer 1

Answer: C

Step-by-step explanation:

Probability: the outcome you want (2) over the total number of outcomes (6).

Probability= 2/6= 1/3.

Answer 2

The probability of landing on 2 is 1/6 if the total number of outcomes is 6 and favorable outcomes are 1 option (C) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a spinner shown in the picture.

Total number of outcomes = 6

{1, 2, 3, 4, 5, 6}

Total number of favorable outcomes = 1

{2}

P(landing on 2) = 1/6

Thus, the probability of landing on 2 is 1/6 if the total number of outcomes is 6 and favorable outcomes are 1 option (C) is correct.

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Related Questions

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is 1/5. The probability of Larry staining his shirt during the dinner is 15%.


Which of these events is more likely?

Choose 1 answer:


(Choice A)


Harry stains his shirt during the dinner.


(Choice B)


Larry stains his shirt during the dinner.


(Choice C)


Neither. Both events are equally likely.

Answers

Answer:

(Choice A)

Harry stains his shirt during the dinner.

Step-by-step explanation:

If Harry and Larry are having a barbecue dinner and the probability of Harry staining his shirt during the dinner is 1/5 and the probability of Larry staining his shirt during the dinner is 15%, Harry stains his shirt during the dinner is more likely.

Harry - 1/5 as a percent: 20%

Larry - 15% as a decimal: 0.15

Therefore 20% is more than 15 percent.

This makes the answer, Harry stains his shirt during the dinner.

Answer:

(Choice A)

Harry stains his shirt during the dinner.

Step-by-step explanation:

If Harry and Larry are having a barbecue dinner and the probability of Harry staining his shirt during the dinner is 1/5 and the probability of Larry staining his shirt during the dinner is 15%, Harry stains his shirt during the dinner is more likely.

Harry - 1/5 as a percent: 20%

Larry - 15% as a decimal: 0.15

Therefore 20% is more than 15 percent.

This makes the answer, Harry stains his shirt during the dinner.

How to make s the subject in T=2(S+P)÷Z

Answers

Answer:

(TZ - 2P)/2 = S

Step-by-step explanation:

Multiply both sides by Z

T*Z = Z*2(S + P)/Z

TZ = 2*(S + P)                    Divide by 2

TZ/2 = 2(S + P)/2              Do the division

TZ/2 = S + P                      Subtract P from both sides

TZ/2 - P = S                       That's one answer. You could refine it.

Multiply P by 2 so that you can put TZ - 2P over a common denominator.

(TZ - 2P)/2 = S                   Is another answer.  

I think the second one is probably the best one.

Which is a graph of f(x) = (6x-2)/(x-3), with any vertical or horizontal asymptotes indicated by the dashed lines?

Answers

Answer:

to find the vertical asymptote, you have to put the rational function in the simplest form, which means to cancel any common factor between the numerator and denominator. here we don't have anything to cancel. then take the denominator and equal it to 0. x-3=0 ,x=3

to find the horizontal asymptote, in this situation, the degree of the numerator and denominator are the same which is 1. therefore, y=the coefficient of the numerator ÷ the coefficient of the denominator. y=6÷1 ,y=6

Answer with explanation:

The given function is:

   [tex]f(x)=\frac{6x-2}{x-3}[/tex]

Horizontal Asymptote

   [tex]y= \lim_{x \to \infty} \frac{6x-2}{x-3}\\\\\text{Dividing Numerator and Denominator by ,x}\\\\\Rightarrow y=\lim_{x \to \infty} \frac{6-\frac{2}{x}}{1-\frac{3}{x}}\\\\\Rightarrow y=\frac{6-0}{1-0}\\\\\Rightarrow y=6[/tex]

Vertical Asymptote

→Substitute Denominator of f(x) =0

⇒x-3=0

⇒x=3

⇒x=3 is Vertical Asymptote , and y=6 is horizontal Asymptote.

Matching with all the options

 Option D

A system of linear inequalities is shown below: y − x > 0 x + 1 < 0 Which of the following graphs best represents the solution set to this system of linear inequalities? The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 4, 4. The portion common to the right of the first line and above the second line is shaded The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 2, 2. The portion common to the left of the first line and above the second line is shaded The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 2, 2. The portion common to the left of the first line, above the second line and below the x axis is shaded The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the left of the first line and above the x axis is shaded

Answers

Answer:

The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 4, 4. The portion common to the right of the first line and above the second line is shaded

Step-by-step explanation:

we have

First inequality

x+1 > 0

x > -1

The solution of the first inequality is the shaded area at right of the dashed line x=-1 (vertical line)

Second inequality

y-x > 0  

y> x

The solution of the second inequality is the shaded area above the dashed line y=x

therefore

The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 4, 4. The portion common to the right of the first line and above the second line is shaded

see the attached figure to better understand tye problem

What percent of 4600% is 2530

Answers

5500% of 4600% is 2530

Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem.

This problem is about Percentage.

Given:

What percent of 4600% is 2530?​

We can translate above questions into mathematical equation as follows:

[tex]x\% \times 4600 \% = 2530[/tex]

[tex]x\% \times \frac{4600}{100} = 2530[/tex]

[tex]x\% \times 46 = 2530[/tex]

[tex]x\% = 2530 \div 46[/tex]

[tex]x\% = \frac{55}{1}[/tex]

To convert above fraction , we could multiply with 100% :

[tex]x\% = \frac{55}{1} \times 100\%[/tex]

[tex]x\% = \boxed{ 5500 \% }[/tex]

Conclusion:5500% of 4600% is 2530

Another Example:

50% of 4600 is 2300

80% of 4600 is 3680

100% of 4600 is 4600

120% of 4600 is 5520

Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

The 2530 is 55% of 46. This means that 2530 is 55% of 4600%, as 4600% is equivalent to 46 in decimal form.

To find what percent 2530 is of 4600%, we first need to understand that 4600% is equal to 46. Hence, we need to determine what percent of 46 is 2530.

Let x be the percentage we are trying to find. We can set up the equation:

x% of 46 = 2530

To solve for x, we divide both sides by 46:

x% = 2530 / 46

x% = 55

So, 2530 is 55% of 46.

To summarize, 2530 is 55% of 46. This means that 2530 is 55% of 4600%, as 4600% is equivalent to 46 in decimal form.

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According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) is a factor of 35 divided by a factor of 66. Any rational root of f(x) is a multiple of 35 divided by a multiple of 66. Any rational root of f(x) is a factor of 66 divided by a factor of 35. Any rational root of f(x) is a multiple of 66 divided by a multiple of 35.

Answers

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if [tex]a_{0}[/tex] and [tex]a_{n}[/tex] are non zero then each rational solution x will be:

x= +/- Factors of [tex]a_{0}[/tex] / Factors of  [tex]a_{n}[/tex]

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

[tex]a_{0}[/tex] = 35

[tex]a_{n}[/tex] = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Answer:

A

Step-by-step explanation:

trust bro


[tex]25.643 - 18.21 = [/tex]

Answers

Answer:

The answer is 7.433

Step-by-step explanation:

Bc:

  25.643  the 5 turned to 15, and the 2 is a 1.

-   18.210

    7.433

Hope my answer has helped you, if not i'm sorry.

Answer:

7.433

Step-by-step explanation:

To solve this problem, you'd need to subtract the numbers from left to right.

25.643-18.21=07.433=7.433

So, the correct answer is 7.433.

I hope this helps!

Thank you for submitting your question!

The graph of f(x) = x^5 + 2x^4 - x - 2 is given. How many complex zeros does the function have?

Answers

Answer:

According to the graph of f(x), the function has three real solutions to x= -2, x= -1 and x=1.

Then, given that the function is a 5 degree polynomial, we can conclude that the function has 2 complex zeros.

Select the two binomials that are factors of this trinomial.
x^2+6x+8

Answers

Answer:

(x + 4)(x + 2)

Step-by-step explanation:

Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)

The factors are + 4 and + 2, since

+ 4 × + 2 = + 8 and + 4 + 2 = + 6, hence

x² + 6x + 8 = (x + 4)(x + 2) ← in factored form

The two binomials that are factors of this trinomial x^2+6x+8 would be (x + 4)(x + 2).

What is factorization?

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.

Those composing integers are called factors of that considered integers.

Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term ( + 6)

x² + 6x + 8

The factors are - 4 and + 2, since

+ 4 × + 2 = + 8 and + 4 + 2 = + 6,

hence , in the factored form

x² + 6x + 8 = (x + 4)(x + 2

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Given that the area of a triangle is given by the formula A =
1
2
bh, what is the value of A if b = 4 cm and h = 6 cm?

Answers

The value of A is 12

According to the definition of theoretical probability, the probability of an
event occurring is the number of favorable outcomes divided by the number
of unfavorable outcomes.



True or False

Answers

Answer: True

Step-by-step explanation: that is the correct definition on theoretical probability! :D

. Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes, not unfavorable outcomesThe statement about theoretical probability in the question is false.

The provided statement about theoretical probability is false. According to the definition of theoretical probability, the probability of an event occurring is in fact the number of favorable outcomes divided by the total number of possible outcomes, not the unfavorable outcomes. To calculate the theoretical probability of an event A, one must count the number of outcomes that are favorable for event A (those that result in the event occurring) and divide by the total number of all possible outcomes.

Example:

If a die is rolled, the probability of rolling a three (a favorable outcome) is 1 in 6 (the total number of possible outcomes), as there is one three on a die and six possible outcomes in total.

Therefore, the correct way to express probability is:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

What are the zeros of f(x) = x2 - x - 30?

Answers

The zeros of f(x) = x^2 - x - 30 are x = 6 or -5

How to determine the zeros?

The function is given as:

f(x) = x^2 - x - 30

Expand

f(x) = x^2  + 5x - 6x - 30

Factorize the function

f(x) = x(x  + 5) - 6(x + 5)

Factor out x + 5

f(x) = (x - 6)(x + 5)

Set to 0

(x - 6)(x + 5) = 0

Solve for x

x = 6 or -5

Hence, the zeros of f(x) = x^2 - x - 30 are x = 6 or -5

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there are 63 students marching in a band, and they'are marching in 7 rows. how many students are in each row?

Answers

To find the number or rows, divide the total number of students by the number in each row.

63 / 7 = 9 rows.

Hello There!

If there are 63 students marching in the band and there is 7 rows, we can find out how many students are in each row by dividing 63 "number of students" by 7 "number of rows" and we will get an answer of 9.

Please help with this word problem would be a huge help!!

Answers

Answer:

11.2 miles

Step-by-step explanation:

What has been describe here is a right triangle.

He went 10 miles east, and he turned left and went 5 miles.  He started at home ended at work.  We want to make a road from his home directly to his workplace (no turns; straight there).

So we have by Pythagorean Theorem:

[tex]5^2+10^2=c^2[/tex]

[tex]25+100=c^2[/tex]

[tex]125=c^2[/tex]

Square root both sides:

[tex]\sqrt{125}=c[/tex]

[tex]11.2 \approx c[/tex]

11.2 miles would be the length of that direct path.

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

Determine which statements about the relationship are true. Choose two options.

Answers

Answer:

g is a dependent variable

u is an independent variable

Step-by-step explanation:

Given relationship is:

g=748u

Here two terms need to be defined

Independent Variable : The variable which can take any value. The independent variable is used to calculate the value of dependent variable

Dependent Variable: The dependent variable is determined by the independent variable.

Therefore,

The correct answer is:

g is a dependent variable

u is an independent variable ..

Carmen y Carlos hacen pizzas para vender. La materia prima necesaria para hacer una pizza grande les cuesta $5.00 y para una pizza pequeña $3.00. Si disponen de $570.00 y quieren hacer 150 pizzas, ¿cuántas pizzas de cada tamaño podrán hacer?

Answers

Answer:

A large pizza costs $5 and a small pizza costs $3.

Let 'x' be the number of large pizzas and 'y' the number of small pizzas. We have that:

x + y = 150

5x + 3y = 570

Solving the system of equations:

x + y = 150 → 3x + 3y = 450 → 3y = 450 - 3x

5x + 3y = 570 → 5x + 450 - 3x = 570

2x = 120

x = 60

y = 150 - 60 = 90

Therefore. Carmen y Carlos will make 60 large pizzas and 90 small pizzas.

If a+ b + c= -6 and x +y = 5, what is 9y +9x - 10a-10c -10b ?

Answers

Answer:

9y +9x - 10a-10c -10b = 105

Step-by-step explanation:

Given

a+b+c = -6 and x+y = 5

We have to find 9y +9x - 10a-10c -10b

Rearranging the terms

9x+9y-10a-10b-10c

Simplifying will give us:

= 9 (x+y) - 10(a+b+c)

Putting the values of x+y and a+b+c

= 9(5) -10(-6)

=45+60

=105

Therefore,

9y +9x - 10a-10c -10b = 105 ..

Answer:

9y + 9x - 10a - 10c - 10b  = 105

Step-by-step explanation:

It is given that,  a+ b + c = - 6 and x + y = 5

To find the value of given expression

Let the expression be 9y +9x - 10a-10c -10b

9y +9x - 10a -10c -10b  = 9(y + x) - 10(a + c + b )

 = 9(x + y) - 10(a + b + c)

 = 9 * (5) - 10 * (-6)

 = 45 + 60

 = 105

Therefore 9y + 9x - 10a - 10c - 10b  = 105

Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal. 3w + 6r ≥ 36 3w + 6r ≤ 90 Which combination of hours can Keitaro walk and run in a month to reach his goal? 2 hours walking; 12 hours running 4 hours walking; 3 hours running 9 hours walking; 12 hours running 12 hours walking; 10 hours running

Answers

Answer:

Option 1 is correct. i.e  2 hours walking; 12 hours running

Step-by-step explanation:

We are given the equations

3w + 6r ≥ 36

3w + 6r ≤ 90

We will check which of the option satisfy the above equations.

1)  2 hours walking; 12 hours running

w = 2 and r =12

3w + 6r ≥ 36

3(2) + 6(12) ≥ 36

6+72 ≥ 36

78 ≥ 36

3w + 6r ≤ 90

3(2) + 6(12) ≤ 90

6+72 ≤ 90

78 ≤ 90

Both equations are satisfied. Option 1 is correct.

2) 4 hours walking; 3 hours running

w = 4 and r =3

3w + 6r ≥ 36

3(4) + 6(3) ≥ 36

12+18 ≥ 36

30 ≥ 36 (this equation doesn't hold as 30 < 36 and not < or equal to 36)

3w + 6r ≤ 90

3(4) + 6(3) ≤ 90

12+18 ≤ 90

30 ≤ 90

So, Option 2 is incorrect.

3) 9 hours running 12 hours walking

w = 9 and r =12

3w + 6r ≥ 36

3(9) + 6(12) ≥ 36

27+72 ≥ 36

99 ≥ 36

3w + 6r ≤ 90

3(9) + 6(12) ≤ 90

27+72 ≤ 90

99 ≤ 90 (this equation doesn't hold because 99 is greater than 90 and not less than 90)

Option 3 is incorrect.

4) 12 hours walking; 10 hours running

w = 12 and r =120

3w + 6r ≥ 36

3(12) + 6(10) ≥ 36

36+60 ≥ 36

96 ≥ 36

3w + 6r ≤ 90

3(12) + 6(10) ≤ 90

36+60 ≤ 90

99 ≤ 90 (this equation doesn't hold because 96 is greater than 90 and not less than 90)

Option 4 is incorrect.

Ethel surveyed a random sample of 100 students from her middle school to learn more about what type of school lunches are preferred. The table shows the result of the survey. Hamburgers Tacos Pizza Sample #1 13 43 44 Sample #2 20 41 38 Which of the following inferences can be made based on the data? Pizza is the most preferred lunch. Tacos and pizza are almost equally preferred. Hamburgers are two times more popular than tacos. Hamburgers are two times more popular than pizza.

Answers

-- Hamburgers got 33 total votes.

-- Tacos got 84 total votes.

-- Pizza got 82 total votes.

Tacos and pizza are almost equally preferred.

-- Tacos are out in front of pizza, but only by 2 votes.

-- Hamburgers are way behind, with less than half the votes of either tacos OR pizza.

It is found that Spaghetti and Pizza are preferred almost equally.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Ethel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred based on his observation the table of the following is :

                       Hamburgers             Spaghetti         Pizza

Sample 1:                 13                              43                     44

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

Sample 2:                20                              41                     39

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

Total:                       33                               84                   83

Here, we see that the total number of spaghetti and Pizza chosen are almost equal as:

Total number of Spaghetti preferred=84.

Total number of Pizza preferred=83.

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which is the rationalized form of the expression the square root of x divided by the square root of x +the square root of 7

Answers

Answer:

I assume your goal is to rationalize the denominator -

So you need to multiply the denominator by its conjugate.

So we have:

[tex]\frac{\sqrt{x} }{\sqrt{x}-\sqrt{7} } *\frac{\sqrt{x} +\sqrt{7} }{\sqrt{x} +\sqrt{7}}[/tex]

->

[tex]\frac{x-\sqrt{7}\sqrt{x} }{x-7}[/tex]

gg

Kelly drinks 0.5 liters of coffee and 0.3 liters of yogurt drink at breakfast. How much did she drink in total in milliliters?

Answers

800ml.
0.5l +0.3l = 0.8l
0.8l= 800ml*
Because to convert l to ml, you have to multiply the number by 1000.
Hope this helps! :3

Simplify the expression.
20*5^-2

Answers

The answer is 4/5

For negative exponents you do the reciprocal of the number and then get rid of the negative sign

For example) To make 5^-2 less complex it can also be written as: 1/5^2 or 1/25

Once it is rewritten as an easier number, you can simply solve the equation:

20 * 1/25
20/25
=4/5

~~hope this helps~~
The answer is 3/4
The work is shown in pic

13. For what value of b would the following system of equations have an infinite number of solutions? 9x + 12y = 21
6x + 8y = 7b Please explain and show steps :)

Answers

Answer:

b=2

Step-by-step explanation:

9x + 12y = 21

6x + 8y = 7b

To have an infinite number of solutions, the two equations must be equal

Take the first equation and divide by 3, since it is a factor of all the terms

9x/3 + 12y/3 = 21/3

3x+4y = 7

Then multiply by 2 to get the x term equal

2*3x + 2*4y = 2*7

6x +8y = 7*2

Comparing this to the second equation

6x + 8y = 7b

b must equal 2

Evaluate: 5P5
A:120
B: 1
C: 132
D: 126
(This is permutations btw)

Answers

[tex]_nP_k=\dfrac{n!}{(n-k)!}\\\\\\_5P_5=\dfrac{5!}{0!}=120[/tex]

Answer:

A.  120.

Step-by-step explanation:

5P5  =  5! / (5-5)!

= 5! / 0!

= 5!/1

= 5!

= 120.

solve the equation -12=q-17​

Answers

Answer:

q = 5

Step-by-step explanation:

Given

- 12 = q - 17 ( add 17 to both sides )

5 = q ⇒ q = 5

Answer:

q=5

Step-by-step explanation:

The equation is  -12=q-17​

In this equation we have to find the value of q.

So move the constant to the L.H.S

-17 will become +17 when it moves to the L.H.S

17-12=q

5=q

Thus the value of q is 5....

The variable t in the formula d = rt stands for

Answers

Answer:

The distance formula d = rt, 'd' stands for distance, 'r' stands for rate and 't' stands for time.

It's a well known formula used in physics to solve problems that involves questions like "how fast", "how far", or "for how long".

In the formula d = rt, the variable t represents time. It's a consistent representation across situations whenever you are dealing with equations for motion, speed, or other physics contexts.

The variable t in the formula d = rt stands for time. This formula is used to calculate distance based on the rate of speed (r) and the time (t) traveled. To solve for time, you would rearrange the formula to t = d/r, which means time equals distance divided by rate.

In various physics and mathematical contexts, as shown in the reference information, the letter t consistently represents time. It could be the time an object takes to cover a certain distance at a given rate, or more complex scenarios involving non-Euclidean worlds or quantum mechanics. Nevertheless, whenever you see t in such equations, it is typically referring to time, unless otherwise specified.

A hamburger bun merchant can ship 8 large boxes or 10 small boxes of hamburger buns into a carton for shipping. In one shipment, he sent a total of 96 boxes of hamburger buns. If there are more large boxes than small boxes, how many cartons did he ship?

Answers

Answer:

11 cartons

Step-by-step explanation:

Number of large boxes that can be contained in a carton = 8

Number of small boxes that can be contained in a carton = 10

Total number of boxes sent in one shipment = 96

This shipment contains both large and small boxes. Let there be x cartons of large boxes and y cartons of small boxes in one shipment. So, we can say,

Total number of large boxes in one shipment = Number of boxes in one carton * Total number of cartons = 8x

Similarly,

Total number of small boxes in one shipment = 10y

Since, total number of boxes in one shipment is 96, we can set up the equation as:

8x + 10y = 96

This equation can have following possible solutions:

x =2, y = 8x = 7, y = 4x = 12, y = 0

We are given in the statement that are more large boxes than the small boxes, the valid solutions are:

x = 7, y = 4x = 12, y = 0

Assuming that he sent both large and small boxes, the only valid solution will be:

x = 7, y = 4

This means, the merchant sent 7 cartons of large boxes i.e. 56 large boxes and 4 cartons of small boxes i.e. 40 small boxes. So in total he sent 11 cartons.

Answer:

11 boxes total   4 small    7 large  

Step-by-step explanation:

1 small box *10 = 10             96-10 = 86 (NO MULTIPLE OF 8)

2 small boxes*10=20          96-29=76 ( no multiple of 8)

3 small boxes  *10=30        96-30= 66(no multiple of 8)

4 small boxes*10 = 40        96-40 = 56 (YES multiple of 8)      56/8 = 7   (7 large boxes)

4 large boxes and 7 large boxes

         

If DB is drawn, what is the measure of TDB?

Answers

Answer:

90°

Step-by-step explanation:

we know that

The side TD is perpendicular to the plane formed by the square base ABCD of the cube

therefore

The measure of angle ∠TDB is 90 degrees

The correct answer is d) 90

Step-by-step explanation:

Solve the radical equation.

Answers

Answer:

there are no extraneous solutions to the equation

Step-by-step explanation:

Given

[tex]\sqrt{8x+9}[/tex] = x + 2 ( square both sides )

8x + 9 = (x + 2)² ← expand

8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )

0 = x² - 4x - 5 ← in standard form

0 = (x - 5)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 5 : [tex]\sqrt{8(5)+9}[/tex] = [tex]\sqrt{49}[/tex] = 7

right side = 5 + 2 = 7

left side = right side ⇒ x = 5 is a solution

x = - 1 : [tex]\sqrt{8(-1)+9}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = - 1 + 2 = 1

left side = right side ⇒ x = - 1 is a solution

There are no extraneous solutions

Answer:

There are no extraneous solutions

Step-by-step explanation:

sqrt(8x+9) = x+2

Square each side

(sqrt(8x+9))^2 = (x+2)^2

8x+9 =  (x+2)^2

FOIL

8x+9 = x^2 +2x+2x+4

Combine like term

8x+9 = x^2 +4x+4

Subtract 8x from each side

8x-8x+9 = x^2 +4x-8x+4

9 = x^2 -4x+4

Subtract 9 from each side

0 = x^2 -4x-5

Factor

0=(x-5) (x+1)

Using the zero product property\

x-5 =0  x+1=0

x=5   x=-1

Check the solutions

x=5

sqrt(8*5+9) = 5+2

sqrt(40+9) = 5+2

sqrt(49) =7

7=7

x=-1

sqrt(8*(-1)+9) = -1+2

sqrt(-8+9) = -1+2

sqrt(1) =1

1=1

Both solutions are true solutions

Madeline is standing 2x- 4 feet from the base of a tree. The height of the tree is 5x + 6 feet. Find the equation that shows
the straight-line distance from Madeline's feet to the top of the tree in terms of x.
Provide your answer below:

Answers

Answer:

c = sqrt( 29x^2 + 44x + 52)

Step-by-step explanation:

This is an application of the Pythagorean theorem

c = sqrt(a^2 + b^2)

a = 2x - 4

b = 5x + 6

c = sqrt( (2x - 4)^2 + (5x + 6)^2 )                           Substitute and expand

c = sqrt( 4x^2 -  16x + 16 + 25x^2 + 60x + 36)     Collect like terms

c = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36)        Combine the like term pairs.

c = sqrt( 29x^2 + 44x + 52)

This does not factor into anything very nice.

Answer:

Madeline is standing 2x - 4 feet from the base of a tree, and the height of the tree is 5x + 6

Now we want to know the distance from Madeline's feet to the top of the tree.

You could picture it as a triangle rectangle, where the cathetus is the distance between Madeline and the tree and the distance between the floor and the top of the tree, in this case the distance between Madeline's feet and the top of the tree is the hypotenuse of such triangle rectangle, and can be obtained using the Pythagorean theorem: "the square of the hypotenuse is equal to the sum of the square cathetus"

then:

[tex]H^2 = (2x - 4)^2 + (5x + 6)^2[/tex]

[tex]H^2 = (4x^2 -16x + 16) + (25x^2  + 60x +36)[/tex]

[tex]H^2 = (29x^2 + 44x + 52)[/tex]

[tex]H = \sqrt{ (29x^2 + 44x + 52)}[/tex]

this is the distance from Madeline's feet to the top of the tree in terms of x.

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