There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?

Answer: 163

Step-by-step explanation:

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

17.5 and 5

Step-by-step explanation:

Given

Dimensions of deck = 24 by 24

dimensions of ply wood = 4 by 8

Find

Number of sheets of ply wood needed to cover the deck

Explanation

number of sheets = area of deck divided by area of 1 ply wood

so ,

area of deck =

and

area of ply wood =

so ,

number of sheets needed =

Final Answer

Hence , the required number of sheets of ply wood is 18

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

Answer:

8%

Step-by-step explanation:

560 interest/7 years=80 interest per year

1000xinterest rate=80

interest rate = 80/1000

Interest rate is 8%

Answer:

15.8 sq. in. of paper will be required.

Step-by-step explanation:

The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.

I.e. We need only the first term.

A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)

= 15.81 sq. in.

Answer:

3 1/5 = 16 / 5

1 1/2 = 3 / 2

16 / 5 * 3 / 2 = 48 / 10 = 24 / 5

The correct answer is 24 / 5 = 4 4 /5

(You can check on your calculator)

Answer:

D(30,60)

Step-by-step explanation:

It was way outside the other points that are around the line.

The point (30,60) is a high leverage point on the regression plot.

High leverage points are those that are extreme but follow the regression equation's trend.

High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.

Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.

Hence, the point (30,60) is a high leverage point on the regression plot.

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

https://brainly.com/question/20936691

It's in here.

Answer:

m=1

Step-by-step explanation:

y2-y1/x2-x1

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer: b. Median

Step-by-step explanation:

The most common measures of central tendency are :

a. Mode - It is used in nominal data.

b. Median - It is used as central tendency when data is skewed or having outliers in the data.

c. Mean - It is the best measure of central tendency when data does not have outliers because it affect mean badly.

Given, Prices of item have a skewed distribution with outliers in the left tail.

That means , the  best measure of central tendency to summarize this data set is median.

So, the correct option is b.

Answer:

4.6

Step-by-step explanation:

Answer - is B 4.6

Explanation - I did the math

The resulting polynomial of f(x) · g(x) is -42x³ + 48x² - 70x + 80.

The product of two polynomials, f(x) and g(x), we multiply each term of one polynomial by each term of the other polynomial and then combine like terms.

Given:

f(x) = 7x - 8

g(x) = -6x² - 10

To find f(x) · g(x), we substitute the expressions of f(x) and g(x) into the multiplication:

f(x) · g(x) = (7x - 8) × (-6x² - 10)

Now, we distribute each term of f(x) to each term of g(x):

f(x) · g(x) = (7x) × (-6x² - 10) + (-8) × (-6x² - 10)

Using the distributive property, we can simplify each part of the expression:

f(x) · g(x) = -42x³ - 70x + 48x² + 80

Now, we combine like terms to obtain the resulting polynomial:

f(x) · g(x) = -42x³ + 48x² - 70x + 80

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Using the equations, it is seen that if the trip is 100 miles long, it would cost the same amount to rent a car from either company.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let's assume the length of the trip in miles is represented by x.

The equation for total cost for Company A would be -

CA = 0.4x + 80

The equation for total cost for Company B would be -

CB = 0.2x + 100

To find the length of the trip where the price is the same for both companies, we can set CA equal to CB and solve for x -

0.4x + 80 = 0.2x + 100

0.2x = 20

x = 100

So, for a trip of 100 miles, the total cost for both companies would be the same -

CA = 0.4(100) + 80 = $120

CB = 0.2(100) + 100 = $120

Therefore, the distance value for cost being same is 100 miles.

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Answer:

109.3

Step-by-step explanation:

The area of the figure in square centimeters is 89.6 cm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

We have the figure consist of rectangle and 2 quadrants.

Then to calculate area of figure

= Area of 2 quadrant  +  area of rectangle

So,  Area of 2 quadrant = 2 x πr²/4 = πr²/2

                                        = 3.14 x 5² /2

                                        = 19.625 cm²

and, area of rectangle= l x w= 7 x 10 = 70 cm²

Thus, area of figure

= Area of 2 quadrant  +  area of rectangle

= 19.625 + 70

= 89.625 cm²

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Answer:

Step-by-step explanation:

e = 20 * (1+6/100) = 20 *  53 50  = 20 * 1.06 =$ 21.2

Answer:

8

Step-by-step explanation:

8 Because it is 8 jumps on a number line from 0.

Answer:

8

Step-by-step explanation:

I hope this helps!

Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

Answer:THIS TOOK ME FOREVER BUT WAS WORTH IT

1)1 1/7 times 1 3/4=2

2)8 1/3 times 3/5=5

3)4 3/8 times 1 2/3= 7 7/24

4)5 1/2 times 3 1/3=18 1/3

5)7 1/5 times 2 1/6=10 3/14

6)2/3 times 4/15=8/4

7)2 2/5 times 1 1.4=27 9/25

8)4 2/5 times 10=44

9)26 times 2 1/2=65

10)6 times 3 2/3=22

11)6 1/4 times 1 5/7=10 5/7

12)3 1/3 times 2 3/5=8 2/3

13)4 1/2 times 4 2/3=21

14)5 5/8 times 1 5/9=8 2/4

Step-by-step explanation:

Answer:

8 / 24

Step-by-step explanation:

Answer:

Normaly its 150 to 138

Step-by-step explanation:

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

24y-4

Step-by-step explanation:

4y*5=20y

20y+4y-4= 24y-4

342 hiu yuh eyg muh

Step-by-step explanation:

it yuh opr yubut ayuet butos luknfu nuchu itsbu istvy

We can write simplified form of →

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} as -2 cot(5x).

Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.

Given is the expression -

{sin (7x)−sin(3x)/cos(7x)−cos(3x)}

We know -

Sin A - Sin B → 2 cos ½ (A + B) sin ½ (A - B)

Cos A - Cos B → 2 sin ½ (A + B) sin ½ (B - A)

We can write -

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = {2 cos ½ (7x + 3x) sin ½ (7x - 3x)/ 2 sin ½ (7x + 3x) sin ½ (3x - 7x)}

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = {2 cos ½ (10x) sin ½ (4x)/ 2 sin ½ (10x) sin ½ (-4x)}

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = {2 cos (5x) sin (2x)/ 2 sin (5x) sin (-2x)}

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = {2 cos (5x) sin (2x)/ 2 sin (5x) sin (-2x)}

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = -{2 cos (5x) sin (2x)/ 2 sin (5x) sin (2x)}

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} = -2 cot(5x)

Therefore, we can write simplified form of →

{sin (7x)−sin(3x)/cos(7x)−cos(3x)} as -2 cot(5x).

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Step-by-step explanation:

the answer is simply the volume of the whole model minus the volume of the core ball.

the volume of a sphere (ball, ...) is

4/3 × pi×r³

the radius is always half of the diameter.

radius of the whole model = 18/2 = 9 in.

radius of the core ball = 3/2 = 1.5 in.

so, we have as volume of the clay

4/3 × 3.14 × 9³ - 4/3 × 3.14 × 1.5³ =

= 4/3 × 3.14 × (9³ - 1.5³) = 4/3 × 3.14 × (729 - 3.375) =

= 4/3 × 3.14 × 725.625 = 3,037.95 in³