East High School had a total of 12,510 people in
attendance during their 15-game soccer season. West
High School had a total of 14,310 people for 18 games.
On average, which school had a greater number of
people watching per game? How much greater?

Answer:

Step-by-step explanation:

Use KCF method.

K- keep the first number

C - change the operation from division to multiplication.

F - flip the second number

\(6\dfrac{3}{4}\) ÷ 2 = \(\frac{27}{4}\) ÷ 2

            \(=\dfrac{27}{4}*\dfrac{1}{2}\\\=\dfrac{27}{8}\\\\=3\dfrac{3}{8}\)

Step 1

In a trapezoid, the parallel sides are called bases. The non-parallel sides are called the legs and the base angles are pair of angles that share a common base

Step 2

Find the legs

Step 3

Find the bases

Step 3

Find the one pair of base angles

8x^5\left(32\sqrt{2}x^2-\sqrt{2}x^4\right)

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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Answer:

n=11

Step-by-step explanation:

Answer:

u = v - 1

Step-by-step explanation:

I'm guessing the formula you've given me is m = m(v - u), and I'm going to solve it that way. If it's actually different, let me know so I can redo the answer! :)

So, we have the equation m = m(v - u) and we're trying to make u the subject, or isolate it on one side of the equation. Right now, it's being subtracted from v and then multiplied by m. Let's start by dividing both sides of the equation by m so we can stop multiplying (v - u) by m.

m = m(v - u)

m/m = m(v-u)/m

1 = v - u

Now, our equation is pretty simple, but our u is still being subtracted from v, so we should add a u to both sides.

1 = v - u

1 + u = v - u + u

1 + u = v

Now, we're adding 1 to u, so let's go ahead and subtract 1 from both sides.

1 + u = v

1 - 1 + u = v - 1

u = v - 1

And we now we have u as the subject of our formula.

Hopefully that was helpful! :)

\(f^{-1}(x) = 3-7x\\\\\)

=====================================================

Work Shown:

\(f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\\)

The idea is to swap each x and y, then solve for y to find the inverse.

The correct option is- A. graph of two lines with the intersecting point at (negative 1, 1).

On a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

Given system of equations:

y + 2x = −1  ...eq 1

3y − x = 4 ..eq 2

multiply eq 2 with 2 and add to eq 1

6y − 2x = 8 ..eq 3

6y − 2x + y + 2x = 8 - 1

7y = -7

x = -1

Now,

y + 2x = −1

y + 2(-1) = −1

y = -1 + 2

y = 1

Thus, the solution of the given system of equations. y + 2x = −1 and 3y − x = 4 is found as :(-1, 1).

The graph for the equations are attached.

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Correct question:

Choose the correct graph of the given system of equations. y + 2x = −1 and 3y − x = 4 .

Group of answer choices :

A. graph of two lines that intersect at the point (negative 1, 1)

B. graph of two lines that intersect at the point (1, 1) < Not

C. graph of two parallel lines with positive slopes

D. None of the above

Answer:

true  hope this helped

Step-by-step explanation:

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Mrs. Weeks received a Change of $195.00.

The given data is:

Type of Ball football basketball baseball softball Cost per Ball $8.00 $9.00 $7.00 $ 5.00 Total Number of Balls (from Part 1)Mrs. Weeks bought all the baseballs and softballs.

The cost per ball of baseballs and softballs are $7.00 and $5.00 respectively

The total number of balls from part 1 = 30 + 18 + 15 + 20= 83Mrs. Weeks bought baseballs and softballs:15 + 20 = 35 baseballs and softballs Cost of each baseball is $7.00

The cost of each softball is $5.00

The cost of 35 baseballs is $7.00 x 15 = $105.00

The cost of 35 softballs is $5.00 x 20 = $100.00

The total cost of all baseballs and softballs = $105.00 + $100.00 = $205.00Mrs. Weeks paid for them using four $100.00 bills.

The total amount paid by Mrs. Weeks = $100.00 x 4 = $400.00Mrs.

Weeks received change = Amount paid – Total cost of all baseballs and softballs= $400.00 – $205.00= $195.00

Therefore, Mrs. Weeks received a change of $195.00.

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Answer:

0.89

Step-by-step explanation:

because he has 11 biscuits in total the method of calculating probability is 1- an integer so if the integer is 11 its 1 minus 11 is 0.89

Answer:

63.4°

Step-by-step explanation:

The following data were obtained from the question:

Opposite = 6 cm

Adjacent = 3 cm

Angle x =?

The value of angle x can be obtained as follow:

Tan x = Opposite/Adjacent

Tan x = 6/3

Tan x = 2

Take the inverse of Tan.

x = Tan¯¹ 2

x = 63.4°

Therefore, the value of angle x is 63.4°

Answer:

63.4°

Step-by-step explanation:

The computation shows that 1756.18595945 to the nearest hundred-thousandth will be 1756.18596.

After being rounded, the value of the hundred thousandth place, which is five places to the right of the decimal point, determines the value of the nearest ten thousandth of a decimal number, which is the value four places to the right of the decimal point.

The thousandth digit should be rounded down if the digit is less than 5. If that number is five or more, round it up to the nearest thousand. We must round up the thousandth digit because in the example given above, the digit following the thousandth digit (i.e., 9) is more than 5. This will give a value of 1756.18596.

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The improper fraction that is equivalent to 3 7/8 is 31/8.

A mixed number consists of a whole number and a proper fraction. In the case of 3 7/8, the whole number is 3 and the proper fraction is 7/8.

To convert a mixed number to an improper fraction, you need to first convert the whole number to a fraction by multiplying it by the denominator of the fraction in the mixed number. In this case, the denominator of the fraction is 8, so we multiply 3 by 8 to get 24.

Next, you add the numerator of the fraction to the result of the multiplication. In this case, the numerator is 7, so we add it to 24 to get 31.

3 7/8 = (3 x 8 + 7) / 8

= (24 + 7) / 8

= 31/8

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The given question is incomplete, the complete question is:

What is 3 7/8 as an improper fraction?

Answer: problem 1 A

Step-by-step explanation:

Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

We can prove that S(n+1,k)=S(n,k−1)+kS(n,k).

To prove that S(n+1,k)=S(n,k−1)+kS(n,k), we will use combinatorial argument.

Consider the set {1,2,...,n+1}. We want to partition this set into k unlabelled nonempty parts. There are two cases to consider:

Case 1: The element n+1 belongs to a part of size 1.

In this case, we have n elements to partition into k-1 parts. The number of ways to do this is S(n,k-1) since we are partitioning n elements into k-1 parts.

Case 2: The element n+1 belongs to a part of size m>1.

In this case, we have n elements to partition into k parts, with one part having size m-1. There are k ways to choose the part of size m-1, and m-1 ways to choose the element of that part that will be n+1. The remaining n-m+1 elements are partitioned into k-1 parts. The number of ways to do this is k(m-1)S(n-m+1,k-1).

Therefore, the total number of partitions of {1,2,...,n+1} into k unlabelled nonempty parts is S(n,k-1)+kS(n,k), which proves the desired formula S(n+1,k)=S(n,k−1)+kS(n,k).

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Answer:

b = (a - 6)^2

Step-by-step explanation:

Solve for b:

a = sqrt(b) + 6

a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:

sqrt(b) + 6 = a

Subtract 6 from both sides:

sqrt(b) = a - 6

Raise both sides to the power of two:

Answer: b = (a - 6)^2

The formula is simplified as the equation b = a² - 6

Given data:

To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.

Here are the steps to rearrange the equation and solve for "b":

Start with the equation: a = √(b + 6).

Square both sides of the equation to eliminate the square root:

(a)² = (√(b + 6))².

Simplify the right side of the equation:

a² = b + 6.

Subtract 6 from both sides of the equation to isolate "b":

a² - 6 = b.

So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".

Hence, the equation is b = a^2 - 6.

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The solution is (x,y,z) =(1,2,3)

It takes three row operations to transform an augmented matrix into its row-echelon form. by Gaussian elimination These involve row switch, multiplication of a row by a constant and addition of rows.

[R2 -2R1 -----R2]

1  2   3   14

2   -3  - 3   -15

2   3   1     11

[R3 -2R1 -----R3]

1      2       3   14

0    -3   - 3   -15

0   -1     -5    17

[R3 -(1/3R2 -----R3]

1      2       3   14

0    -3   - 3   -15

0   0     -4    -12

The result above may be expressed as a system of linear equations:

2x+2y+3z=14

-3y-3z=-15

-4z=-12

From the first equation and using y=−2 and z=3:

x+2y+3z=14

x+2(2)+3(3)=14

x+4+9=14

x+13=14

x=1

[substract 13 from both side]

The solution is (x,y,z) =(1,2,3)

The complete question is : Use the Gaussian Elimination Method to solve:

x+2y+3z=14

2x+y+3z=13

2x+3y+z=11

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The equivalent pair of the expression is x² + 18x + 17

Algebraic expressions are simply defined as expression that are composed of variables, terms, constants, factors, and coefficients.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are listed as;

From the information given, we have that the expression is;

(x + 1)(x + 17)

expand the bracket by multiplying the values

x² + 17x + x + 17

Now, add the like terms, we have;

x² + 18x + 17

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Answer:

2

Step-by-step explanation:

Tip: solve the stuff inside the parentheses (17-12=5 and 8-(-2)= 10 because 2 negatives make a positive) and then multiply those answers by -8 and -2

Answer:

2

The fraction line means division.

Use PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

Anyways, parenthesis come first in PEMDAS, so:

-8(17-12)/-2(8-(-2))

= -8(5)/-2(10)

Next comes multiplication:

(The -8(5) is another way of -8 x 5)

-40/-20

Lastly, division:

(two negative signs make a positive)

40/20 = 2

Hope this helped!

Answer:

56

Step-by-step explanation:

Answer:

no, because each y value corresponds to multiple x values. And the x values repeat each other.

Step-by-step explanation:

Answer:

No, because there is more than one of the same x value

Step-by-step explanation:

Answer:

The complement of 13° is the angle that when added to 13° forms a right angle (90° ).

Step-by-step explanation:

If the tire says P235/65R17, the diameter of your wheel will be 17 inches.

The primary purposes of a car's tires are to carry the weight of the car, transmit traction and braking forces to the road surface, insulate against shocks from the road, and change and maintain the direction of motion.

It offers traction for braking and acceleration and reduces the number of road vibrations that reach the car's body.

It should be noted that the numbers that are written on the tire are vital in knowing the diameter that's illustrated.

In this case, when the tire says P235/65R17, the diameter of your wheel will be 17 inches.

In conclusion, it is 17 inches.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Answer:

40°

Step-by-step explanation:

180° - 100° = 80°

and since 2 of the angles are equal

80°/2

40°

I think this is the answer

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

The coordinates plane for the triangle ABC after a reflection over the y-axis is

A(5, -2), B(4, -4), and C(6, -4).

Reflection is a transformation that flips a shape in a mirror line also called a line of reflection so that each point is the same distance from the mirror line as its reflected point.

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

We have,

The following coordinates:

A = (-5, -2)

B = (-4, -4)

C = (-6, -4)

Since the rule for coordinates for a reflection over the y-axis is

(x, y) ⇒ (-x, y)

We have,

(-5, -2) = (5, -2)

(-4, -4) = (4, -4)

(-6, -4) = (6, -4)

Thus the coordinates plane for the triangle ABC after a reflection over the y-axis is A(5, -2), B(4, -4), and C(6, -4).

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