Edna took a total of 15 pages of notes during 5 hours of class. In all, how many hours will Edna have to spend in class before she will have a total of 18 pages of notes in her notebook?

Shep arranged the numbers 1 through 8 to create the largest possible number with each numeral only being used once. He placed the 8 in the ten-thousands place, ensuring that it held the highest value possible.

Then, he had to decide where to place the remaining numbers to maximize the overall value of the number. He placed the 7 in the thousands place, followed by the 6 in the hundreds place, the 5 in the tens place, and the 4 in the ones place. This created the number 87,654,321, which is the largest possible number that can be created using the given digits with each numeral only being used once. Therefore, Shep successfully arranged the numbers to create the largest possible number.

Shep needs to arrange the numbers 1 through 8 to form the largest possible number, with 8 in the ten-thousands place. To achieve this, Shep should arrange the remaining numbers in descending order. Therefore, the largest number he can create is 87,654,321. This arrangement ensures that the highest numerals occupy the most significant places, making it the maximum possible value with the given constraints.

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Answer:

Equation of line that includes the point (-9, -8) has a slope of 5 in point-slope form is

\(y+8 = 5 (x + 9)\)

Step-by-step explanation:

Equation of line in point-slope form is given as

\(y-y_1 = m (x-x_1)\)  ---------- (1)

Here

\(m=5 \ \ \ and \ \ \ (x_1, y_1) = (-9, -8)\)

Substitute values in equation (1)

\(y+8 = 5 (x + 9)\)

Simplifying it further

\(y = 5x + 45 -8\)

\(y = 5x + 37\)

The area of each piece is 66.35.

What is the area of the circle?

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement. Every geometric shape has a distinct area.

Here, we have

Given: a 26-inch diameter pizza is cut into 8 equal pieces.

we have to find the area of each piece.

A = πr²

We know that the diameter of the pizza is 26 inches, so the radius must be half that value: 13 inches. So:

A = (3.141)(13)²

A = 530.82 inches squared

Now that we know the area, we simply divide it by 8, as there are 8 equal pieces, and so each piece must have an equal area. This gives us:

= 530.82/8

= 66.35

Hence, the area of each piece is 66.35.

Question- A pizza with a 26-inch diameter is cut into 8 equal sizes. Determine the area of one slice.

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Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:X= 4, y= -2

If you're solving by addition/elimination

Answer:

(4,-2)

I hope this helps

Answer:

2/5

Step-by-step explanation:

slope= y2-y1 / x2-x1

in this case:

y2=7                            y1=5                      x2= 8                      x1=3

plug that into the formula above to get the answer

slope= 2/5 or 0.4

Let:

R = (-3,2)

S = (0, - 5)

T = (4,5)

R' = (4,1)

So:

R(x,y)----->T------->R'(x,y)

Let:

x1 = -3

x2 = 4

y1 = 2

y2 = 1

So:

(-3,4)------->(x+7,y-1)--------->(-3 + 7, 2 - 1) = (4,1)

Therefore:

Answer: x= 4.5 or x= 9/2

Step-by-step explanation:

Step-by-step explanation:

(x - 6) - (4.5 - x) = -1.5

remove the brackets

x - 6 - 4.5 + x = -1.5

2x - 10.5 = -1.5

2x = 9

x = 4.5

Gentiana has $12 left to spend on the pizza pie as of the equation model.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Let the amount spend on pizza pie be x,
According to the question,
40 = 10 + 25% of 40 + 20% of 40 + x

40 = 10 + 40 × 0.25 + 40 × 0.20 + x
40 = 10 + 10 + 8 + x
x = 40 - 28
x = 12

Thus, Gentiana has $12 left to spend on the pizza pie as of the situation model.

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Answer:

21.2

Step-by-step explanation:

4.1 + 6.5 = 10.6

10.6 x 2 = 21.2

Answer:

arccos(439/1976)

Step-by-step explanation:

The largest angle is opposite the longest side. So, by the Law of Cosines, if we let this angle be x,

\(x=\arccos \left(\frac{7.6^2 + 5.2^2 - 8.2^2}{2(7.6)(5.2)} \right) \\ \\ =\arccos(439/1976)\)

This situation can be represented by the function f(x)=1000+150x.

Linear Equation can be defined as the equation that have  highest degree 1.

For Example : 3x+6 is a linear equation as it's highest degree is 1.

In the given question

Total money saved=initial amount+(money saved per week)*(number of weeks)     …(1)

Given that

Jessica already saved = $1000

money to be saved per week = $150

let the number of weeks she will be saving money =x

let f(x) be the function used to represent money saved

Substituting the values in eqn (1) we get

f(x)=1000+150(x)

Therefore , this situation can be represented by the function f(x)=1000+150x.

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Answer:

rational

hope it helps.

The scale factor is 4 after applying the concept of the similar triangle, option (A) 8/2 = 4/1 = 4 is correct.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The two similar triangles are shown in the picture.

The base length of the triangle b = 8

The height of the triangle b = 4

The base length of the triangle a = 2

The height of the triangle a = 1

The ratios of the corresponding sides:

Scale factor = 8/2 = 4/1 = 4

Thus, the scale factor is 4 after applying the concept of the similar triangle, option (A) 8/2 = 4/1 = 4 is correct.

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Answer:

The statue should be placed at the circumcentre of the triangle.

Step-by-step explanation:

The circumcentre of a triangle is the point that is formed by the intersection of the three perpendicular bisectors of each of the three sides.

This point is equidistant from all the three sides and is perpendicular to the three sides.

So, to place the statue, the parish Council can draw perpendicular bisectors for each sides and the intersection of these perpendicular bisectors would be the point where the statue can be placed.

Consider the diagram below.

Point P is the circumcentre of the triangle.

Answer:

........,..................y.....bhjkkbub

Answer:

B

Step-by-step explanation:

With answer B, x is marked 4 on the x-axis and because there was no given y-intercept, the line must be vertical.

its 2 +93+9202+820201+2829202038374

Answer:

1. r = 2.5 mm

2. r = 12ft

3. d = 34 cm

for 4-6 you  use 2(pi) r

4. 25.1 ft

5. 40.8 cm

6. 22 mi

Answer is below. Look at the explanation in order to understand my answer.

To find the diameter, you'll have to get the radius in order to solve the diameter.

Since you said r = 17cm, we should be solving for diameter.

The formula is d = 2r

R will represent the radius.

You'll multiply the 2 by the radius.

Like i've said, R will represent the radius. The radius is 17.

With that being said, we can do the math.

The formula will be: d = 2r → d = 2 × 17

2 times 17 is 34.

The diameter would be 34.

Let me know of question or concerns about my answer.

Answer:

Step-by-step explanation:

Let the length be l and the width be y. We have the following:

l + w = 37

lw = 342

From here, we can find the factor pairs of 342, and see which pair has a sum of 37. Our desired pair is 18 & 19, so the dimensions of the field are 18 by 19 feet.

Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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A. Let x represent the number of lollipops produced. Then the weekly cost C in dollars is given byC = 3.50x + 420B. Let x represent the number of lollipops sold. Then the revenue R in dollars is given byR = 5.75x.

A candy producer charges $5.75 for its special lollipop. It costs them $3.50 to produce each lollipop. Additionally, they spend $420 per week to maintain the production. A. (3 points) Let C represent the weekly cost in dollars and let x represent the number of lollipops produced. Write down the producer’s weekly cost function.

B. (3 points) Let R represent the revenue in dollars and let x represent the number of lollipops sold. Write down the producer’s revenue function

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R(x) = 5.75x ,Where x is the number of lollipops sold.

The producer's weekly cost function, C, can be calculated by adding the cost of production per lollipop (which is $3.50) with the cost of maintaining production per week (which is $420). Since the cost of production per lollipop is constant regardless of the number of lollipops produced, we can express the weekly cost function as follows:

C(x) = 3.50x + 420

B. The producer's revenue function, R, can be calculated by multiplying the price at which each lollipop is sold (which is $5.75) by the number of lollipops sold (x). Since the price per lollipop is constant regardless of the number of lollipops sold, we can express the revenue function as follows:

R(x) = 5.75x ,Where x is the number of lollipops sold.

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The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

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Answer:

The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.

The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:

cos 90° = 0, cos 270° = 0

Therefore, the angles that satisfy sec Θ = undefined are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.

So, the solutions for Θ are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer.

Step-by-step explanation:

Answer:

RM350

Step-by-step explanation:

calculate 30% of RM500

= \(\frac{30}{100}\) × 500 = 0.3 × 500 = 150

RM150 is left in the bank

and 500 - 150 = RM350 is the money he has with him