Jamie unfolded a cardboard box. The figure of the unfolded box is shown below: Which expression can be used to calculate the area of cardboard, in square inches, that was used to make the box? 6 x 4 x 4     4 x 6 x 6    6 x 2 x 2    2 x 6 x 6

Answer:

Option A is correct.

Step-by-step explanation:

Given: A 6-sided cube is rolled.

To find: Probability of getting a number greater than 3.

Total number of outcome when a 6-sided cube is rolled = 6

Favorable outcome = { 4 , 5  6 }

Number of favorable outcome = 3

Theoretical Probability is a probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.

[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Number\:of\:Total\:outcome}[/tex]

[tex]Probability=\frac{3}{6}=\frac{1}{2}[/tex]

Therefore, Option A is correct.

70% = 0.70

70 * 0.70 = 49

 so 49 students passed

The solutions to the given quadratic equation are x=4 and x= -3/2.

The given quadratic equation is 2x²-5x-12=0.

By splitting the middle term, we get

2x²-8x+3x-12=0

2x(x-4)+3(x-4)=0

(x-4)(2x+3)=0

(x-4)=0 and (2x+3)=0

x=4 and 2x=-3

x=4 and x= -3/2

Therefore, the solutions to the given quadratic equation are x=4 and x= -3/2.

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Answer:

STep by step

Step-by-step explanation:

Answer:

9.98 + 25.01p ≤ 60, so p ≤ 2

Step-by-step explanation:

I took a test and had this question got the answer you were told wrong

Final answer:

To solve for b in the equation 4a = 2b - 7, you need to add 7 to both sides and then divide by 2. The solution is b = (4a + 7)/2.

Explanation:

To solve the equation 4a = 2b - 7 for b, you want to isolate b on one side of the equation. This means we need to perform operations that will move all other terms away from b.

First, let's add 7 to both sides of the equation to get rid of the -7 that's subtracted from b:

4a + 7 = 2b

Next, we will divide both sides of the equation by 2 to solve for b:

(4a + 7)/2 = b

So, b equals to the expression (4a + 7)/2.

Answer: [tex]n^4[/tex]

Step-by-step explanation:

The given division problem is [tex]n^7\div n^3[/tex]

The law of exponents says that [tex]a^{m+n}=a^ma^n[/tex]

Therefore, [tex]n^7=n^{3+4}=n^3n^4[/tex]

Now, the division problem becomes

[tex]n^7\div n^3\\\\=\frac{n^7}{n^3}\\\\=\frac{n^3n^4}{n^3}\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7\div n^3=n^4[/tex]

hence, the quotient of the given problem = [tex]n^4[/tex]

With whole life insurance, the insured agrees to pay a specific premium each year until death.

Whole life insurance is a plan that requires you to pay premiums for you entire life, thus it is known as "whole life."

Answer:

Step-by-step explanation:

The answer to this question is answer A.

12) 10.77 + 2.09 + 0.75 = 13.61

13.61 x 1.07 = $14.56

 total amount = $14.56

14) C shows the possible combinations

Answer:

t = d/r

Step-by-step explanation:

In order to solve an equation for another term from which is initally solved by another term you just have to leave the term you want to solve the equation for, in this case the "t" and to do so since in this formula it is multiplying the "r" we haec to divide both sides of the equation by "r":

[tex]d=rt[/tex]

[tex]\frac{d}{r} =\frac{rt}{r}[/tex]

Now we eliminate the since they are in both sides of the fraction:

[tex]\frac{d}{r} =\frac{rt}{r}[/tex]

And the function is solved for t.

[tex]t=\frac{d}{r}[/tex]

Answer: Simplifying the square roots and adding the similar square roots the answer is option c. 6 square root of 5 end root minus 4 square root of 7

Solution:

3√5-2√7+√45-√28

45=9*5 and 28=4*7. Replacing in the equation above:

3√5-2√7+√(9*5)-√(4*7)

Using √(a*b)=√a√b

3√5-2√7+√9√5-√4√7

√9=3 and √4=2. Replacing in the equation above:

3√5-2√7+3√5-2√7

Adding similar square roots:

(3+3)√5+(-2-2)√7=

(6)√5+(-4)√7=

6√5-4√7

The arm span of 74- inch tall person is 74 inches and height of person with 66 inches arm span is 66 inch.

Your arm span is the distance between the middle fingertips on each hand when you stretch your arms out as far as they can reach.

arm span= 66 inches

As, height of person= 74 inch

The person who is having 66inch arm span  also being 66inches in height,

which means the if the arm span is of the 74inch

then man would also be 74inch arm span

This is because your arm span equals your height.

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Final answer:

A person with an arm span of 66 inches is likely to be about 66 inches tall, and a 74-inch-tall person likely has an arm span of about 74 inches. The height in meters of a person who is 6 feet 1.0 inch tall is about 1.8542 meters.

Explanation:

Understanding Arm Span and Height Relationships

The relationship between arm span and height is interesting as they tend to be about the same for an individual. For a person with an arm span of 66 inches, we can estimate that the person's height is approximately the same, around 66 inches. However, this relationship can vary slightly based on individual proportions.

Conversion between Inches and Meters

To convert a person's height from feet and inches to meters, we use the conversion factor 1 meter equals 39.37 inches. For a person who is 6 feet 1.0 inch tall (which equals 73 inches in total), their height in meters would be:

Height in meters = (73 inches) / (39.37 inches per meter) = 1.8542 meters (rounded to four decimal places).

Estimates Based on Anthropometric Data

The arm span of a 74-inch-tall person would again typically be close to their height, so around 74 inches. These estimates are part of anthropometric data, which helps in understanding human body measurements in various fields, including ergonomics, clothing design, and health assessments.