Please help me this question I couldn’t understand it please

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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The equation that represents this word problem is 3x = 600 and 30% of 200 is equal to 60.

This is a mathematical statement used to represent word problems.

Given that 30% of x = 60.

a)

Let write and equation to solve for x

\(\frac{30}{100}=\frac{60}{x}\\ 30x=100*60\\ 30x=6000\\3x=600\)

The equation representing x, 30% and 60 can either be written as

\(0.3x=60\) or \(3x=600\)

b)

To solve for x, let's divide both sides by the coefficient of x.

\(3x=600\\\frac{3x}{3}=\frac{600}{3}\\ x=200\)

From the calculations above, 30% of 200 is 60.

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Answer:

the third option

Step-by-step explanation:

took the test

The diameter in the first step of the constructions divides each shape in half.

step 1

Find the slope

we take the points

(4,3) and (7,6)

so

m=(6-3)/(7-4)

m=3/3

m=1

step 2

Find the equation in slope intercept form

y=mx+b

we have

m=1

point (4,3)

substitute

solve for b

3=4+b

b=3-4

b=-1

therefore

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

9

Step-by-step explanation:

Because 8 and 9 are the numbers because they're the greatest consecutive integers you can have without it going past 17 because sum means adding so you're adding the two consecutive integers and 9 is the largest so That's the answer

Given that,

the two numbers are consecutive

The two numbers are

x and x + 1

Sum of the numbers = 17

x + (x + 1) = 17

x + x + 1 = 17

2x = 17 - 1

2x = 16

x = 16/2

x = 8

Therefore, the two numbers are x = 8 and x + 1 = 9

9 is the greater integer

The expression for one fifth the difference of a number and 17 is B. 1/5( n - 17).

It should be noted that an expression is used to show the relationship between the variables.

In this case, the information is to find the expression for one fifth the difference of a number and 17.

Let the number be n. The expression will be:

1/5( n - 17).

In conclusion, the correct option is B.

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Answer:

24

Step-by-step explanation:

Assuming you want to find a mean, the answer is: 24 (sum of all values/number of values)

Range is largest-smallest

Median is middle value

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Just count and find the area of the units shown below,

6 x 2 = 12, 12 divided by 2 = 6

6 x 2(two of the triangles) = 12

7 x 3 = 21

21 x 2 = 42

7 x 6 = 42

Add all given areas:

12 + 42 + 42 = 96 is your answer

Answer:

Mr Bond

Step-by-step explanation:

Row 13  Window to aisle  = Miss Smith Mrs Jones then Mr Bond

This is because Mr Bond sat directly next to Mrs Jones

The only person is placed to the left twice is Miss Smith step mother which must be Mrs Jones but as Miss Smith was reading a book and not in the centre it was Miss Smith in window seat.

So this means Mr Bond was in the aisle seat.

Answer:

mr bond

Step-by-step explanation:

BHS problem of the week #2

The value of the quotient (9-6i)/(5+3i) is \(\frac{27-57i }{34}\)

The expression is given as:

(9-6i)/(5+3i)

Rewrite properly as:

\(\frac{9-6i}{5+3i}\)

Rationalize the expression

\(\frac{9-6i}{5+3i} * \frac{5-3i}{5-3i}\)

Evaluate the product

\(\frac{45 - 27i - 30i + 18i^2}{25-9i^2}\)

In complex numbers;

i^2 = -1

So, we have:

\(\frac{45 - 27i - 30i + 18(-1)}{25-9(-1)}\)

Evaluate the like terms

\(\frac{27-57i }{34}\)

Hence, the value of the quotient (9-6i)/(5+3i) is \(\frac{27-57i }{34}\)

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Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

\( \huge \blue{\tt{Answer:}} \)

\( \sf{2x+3x+5x=180°[angle~sum~property~of~a~triangle]} \)

\( \implies \sf{10x=180°} \\\\ \implies \sf{x = {\dfrac{180°}{10}}} \\\\ \implies \sf{x=18°} \)

\( \sf{2x= 36°} \\\\ \sf{3x=54°} \\\\ \sf{5x=90°} \)

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

The price of the couch after the markup gotten during a sale, a store offered a 30% discount on a couch that originally sold for $870 is $791.70.

The concept that will be used here is the discounted price . The discount is represented in the advertisement as a percentage off the list price. As a result, a sale price of $70 will be achieved with a 30% discount on a $100 list price. Another way to understand the phrase is to say that it simply refers to the selling price of an item.

The  price of the couch after the markup can be determine as :

$870 * (1 + 30% ) *  (1 - 30% )

Then this can be simplifIed as :

= $870  *1.3 * 0.7

=$ 791.7

Then Rounding up to the nearest cent will give $ 791.70

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

b edge

Step-by-step explanation:

The interquartile range is 5.

Given,

The data for the number of pounds of trash collected by each teenager is shown below.

26, 26, 21, 22, 20, 25, 35

We need to find the interquartile range

It is given by:

= Q(3) - Q(1)

Q(3) = median of the upper half

Q(1) = median of the lower half.

Arrange in ascending order.

20, 21, 22, 25, 26, 26, 35

We have,

Lower half

Q(1) = 21

Upper half

Q(3) = 26

Interquartile range:

= Q(3) - Q(1)

= 26 - 21

= 5

Thus the interquartile range is 5.

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Step-by-step explanation:

\(9.16 = 585288 { \sqrt[5 < 63 = 33 \times \\ ]{?} }^{?} \)

Answer: Its 0.75 hours :)

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

1 17/20 is the answer

Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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