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Answer:

320 mph

Step-by-step explanation:

200/5=40

40x8=320

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

if a van traveled 200 miles in 5 hours

We need to find how long it travels in 8 hours.

Let x be the distance to travel in eight hours.

Let us make a equation

200/5=x/8

Apply cross multiplication

1600=5x

Divide both sides by 5

1600/5=x

320=x

Hence the van travelled 320 miles in 8 hours.

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Each sack would hold "Difference in weight per sack" fewer pounds of coffee.

If a grocer has c pounds of coffee that he wants to divide equally among s sacks, we can calculate how many fewer pounds of coffee each sack would hold if n more sacks are used.

To find the weight of coffee in each sack when n more sacks are used, we need to divide the total weight of coffee (c) by the total number of sacks (s + n).

The weight of coffee in each sack when n more sacks are used would be:

Weight per sack = c / (s + n)

To calculate how many fewer pounds of coffee each sack would hold, we need to compare this weight per sack to the weight per sack when only s sacks are used. The difference in weight can be calculated as:

Difference in weight per sack = Weight per sack (when s sacks are used) - Weight per sack (when s + n sacks are used)

Therefore, each sack would hold "Difference in weight per sack" fewer pounds of coffee.

Please provide the values for c, s, and n so that we can calculate the exact difference in weight per sack.

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Answer:

d =14

Step-by-step explanation:

\(1\frac{1}{2} d -9 =12\)

\(\frac{3}{2} d = 12+ 9\)

\(\frac{3}{2} d =21\)

\(d = 21 : \frac{3}{2}\)

\(d = 14\)

The most goals scored by the team as shown on the box plot, in a game was 8 goals.

The uppermost value in a box plot is depicted by the upper whisker, and it stretches from the 3rd quartile (Q3) all the way to the maximum data point within 1.5 times the span between the first and third quartiles (IQR) above Q3.

What this means therefore, is that the most goals scored by the team would be 8 goals as this is the point on the box plot that is at the maximum level.

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Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

Since line G has a slope of 7/5 and line H is parallel to line G, the slope of line H is 7/5.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

This ultimately implies that, the slope of these two lines are equal and the same:

Slope of line G = Slope of line H

7/5 = 7/5

In conclusion, we can reasonably infer and logically deduce that the slope of line H is equal to 7/5.

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Answer:

Use this equation to find out!

Step-by-step explanation:

Since you didn't specify the n-gon, you have to use this equation to find out!

Number of Diagonals = n(n-3)/2

Hope this helps! :)

The lower bound of the length of the pier after the storm is 495m, and the upper bound is 505m. We can express this as a range of values: 495m ≤ length of the pier after storm ≤ 505m.

To find the lower and upper bounds of the length of the pier after the storm, we need to consider the possible range of values for the remaining length of the pier.

Starting with the original length of 700m rounded to 2 significant figures, the possible range of values for the length of the pier could be between 695m and 705m.

Now, taking into account the 200m that was destroyed during the storm, rounded to 1 significant figure, we can adjust the range of values accordingly. The new possible range of values for the remaining length of the pier would be between 495m and 505m.

Therefore, the lower bound of the length of the pier after the storm is 495m, and the upper bound is 505m. We can express this as a range of values: 495m ≤ length of pier after storm ≤ 505m.

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Polynomials are divided using synthetic division by the simplified form of long division.

Polynomials are divided using a technique called synthetic division, which uses a condensed version of long division. The procedures listed below can be used to divide a polynomial P(x) by a binomial of the form x - c (where c is a constant):

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a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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Answer:

It would be a tie

Step-by-step explanation:

Skeir 1 in 5000 feet would go 45 seconds.

Skier 2 in 5000 feet would go 50 seconds

If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.

Answer:

5/6 = v + 2/7

Step-by-step explanation:

5/6 = v + 2/7  

23/42 - v = 0

5/6 = 1/7 (7 v + 2)

Answer:

23/42 = v

Step-by-step explanation:

5/6=v+2/7

Multiply each side by the common denominator, 42

42( 5/6=v+2/7)

35 = 42v + 12

Subtract 12 from each side

35-12 = 42v

23 = 42 v

Divide each side by 42

23/42 = v

The value of x would be 7 or 3 depending on the given values or coefficients.

The equation you provided is in the form (x+?)=?. To solve this equation, we need to isolate the variable x.
Step 1: First, we want to get rid of any constant term on the right side of the equation. If there is a constant term, subtract it from both sides of the equation.
Example: Let's say the equation is (x+5)=12. To get rid of the constant term 5, we subtract 5 from both sides:
(x+5)-5=12-5
This simplifies to:
x = 7
Step 2: Once the constant term is eliminated, we want to isolate the variable x. If there is a coefficient (number) in front of x, divide both sides of the equation by that coefficient to solve for x.
Example: Let's say the equation is (2x+3)=9. We want to get rid of the coefficient 2 in front of x. To do this, we divide both sides of the equation by 2:
(2x+3)/2 = 9/2
This simplifies to:
x + 3/2 = 9/2
Step 3: Finally, to isolate x completely, subtract any constant term on the left side of the equation.
Example: Using the equation from Step 2, we subtract 3/2 from both sides of the equation:
x + 3/2 - 3/2 = 9/2 - 3/2
This simplifies to:
x = 6/2
And further simplifies to:
x = 3
So, in the equation (x+?)=?, the value of x would be 7 or 3 depending on the given values or coefficients.

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The probability that t a random selected that has less than 40 years old, is watching an action movie is 7/15.

We want to find the probability that a random selected that has less than 40 years old, is watching an action movie.

To get that, we need to take the quotient between the people younger than 40 yearls old watching an action move:

N = 2 + 5 =7

And the total population with that age restriction:

P = 12 +3 = 15

Then the probability is:

P = 7/15

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Answer:

Step-by-step explanation:

According to intersecting secants theorem we have the following equation:

Solve it for k:

Answer:

see attached

Step-by-step explanation:

pleass see attached

The x value or observed value corresponding to  z-score, z = 1.50 is 130.

According to the question.

For a population with µ = 100 and σ = 20.

Since,  we know that

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

And it is given by

z = (x - μ) / σ

Where,

x is the observed value.

μ is the mean.

and, σ is the standard deviation.

Therefore, the x value or observed value corresponding to z = 1.50 is given by

\(1.50 = \frac{x -100}{20}\)

⇒ 1.50 × 20 = x - 100

⇒ 30 = x - 100

⇒ x = 30 + 100

⇒ x = 130

Hence, the x value or observed value corresponding to  z-score, z = 1.50 is 130.

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Answer:

The area base of the cylinder is 32 pi square meters which is correct option(A).

Step-by-step explanation:

The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = A × h, where

A = area of the base

h = height

The base of a  circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h

where , 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

π is a constant whose value is either 22/7 (or) 3.142.

Given data,

The volume of cylinder = 288π cubic meters

V = πr²h

Substitute the value of V in the formula

288π = π(r²)(9)

Divided by π both the sides,

288 = 9 r²

288/9 = r²

32 = r²

r² = 32

r ≈ 5.65 meters

The area base (circle) of the cylinder = πr²

Substitute the value of r in the formula,

The area base  of the cylinder = π(5.65)²

The area base  of the cylinder = π(32)

The area base of the cylinder = 32π

Hence, the area base of the cylinder is 32π square meters.

hope this helps gangy

Answer:

32π square meters

Step-by-step explanation:

Use the volume of cylinder formula: V = πr²h:

288π = πr² x 9

Make r² the subject of the formula:

r² = 288π divided by 9π = 32

Now we know r² = 32, we use the circle area formula as the base of the cylinder is a circle:

πr² = formula to find area of circle

π x 32 (which is r²) = 32π m² (square meters)

Hope this answers your question!

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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Answer:

The book without the hardcover would cost $26.42.

Step-by-step explanation:

But with the hardcover, would be $27.92.

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The solution for the system of the linear equation shown in the graph is (1/2, 3/2).

Linear equations:

Linear equation is defined as the equation that is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Given,

Here we have the graph with two straight line.

And we have to find the solution for this linear equation that forms the line on the graph.

In order to find the Solution of the graph, we must find the intersecting point of the two line.

Here we have to find the value of the point that is intersecting,

The value of x at the intersecting point is 1/2 because it lies between 0 and 1.

And the value of y at the intersecting point is 3/2 because it lies between 1 and 2.

Therefore, the solution of the linear equation is (1/2 , 3/2).

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Answer:

1080°

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a 8 sided polygon (a octagon)

n = 8

Step 2: Find Sum

Answer:

false

Step-by-step explanation:

outliers can be neglected especially when working out the mean

Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.

Explanation:
Outliers are extreme values that lie significantly above or below the mean. They have special considerations because they can affect the interpretation of the mean and standard deviation. For instance, if an outlier is included in the dataset, the mean will be different from when it is excluded, making the mean unreliable. Therefore, outliers should be examined carefully to determine if they represent a genuine value or an error.

Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.

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Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

Aloioi

Step-by-step explanation:

Answer:

C (-6, -1)

Step-by-step explanation:

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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