3. Seven teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 77 players on the field. Write and solve an equation whose solution is the number of players on each team.

Population: All students in the high school.

Parameter of interest: Proportion of students whose names are known by the student body president.

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Box-plot describes 5 important data of the observations. We get following values for range, median and IQR as:

A box plot has 5 data description.

IQR(inter quartile range)  is the dfference between third and first quartile. (Its the horizontal length of the box)

Range = Maximum value of the data set - Minimum value of the dataset

The missing box plot is attached below for the given problem.

From the given data, we see that, the left and right whiskers are on  80 and 100 respectively.

The left and right limit of the box are on 85 and 93 respectively.

The middle line lies on 90.

Thus, we get:

Thus, we get:

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The description that most accurate for a Zero-Based Budget is:

b. You put every dollar of your take-home pay into a budget category each month.

A zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.

A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.

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Answer:

D: -5,2,6

Step-by-step explanation:

Answer:

2/729

Step-by-step explanation:

2/3÷3 = 2/9

2/9÷3=2/27

2/27÷3=2/81

2/81÷3=2/243

2/243÷3=2/729

Multiplying the numbers in each domino, and applying the rules for the product, the five digit code is given as follows: 49836.

To find the first digit, we have to multiply the values at the first domino, hence:

Product = 2 x 5 = 10.

The rule for 10 is Product - 6, hence the first digit is of 4.

To find the second digit, we have to multiply the values at the second domino, hence:

Product = 6 x 6 = 36.

The rule for 36, as it is greater than 20, is Product - 27, hence the second digit is of 9.

To find the third digit, we have to multiply the values at the third domino, hence:

Product = 3 x 2 = 6.

The rule for 6 is Product + 2, as it is less than 10, hence the third digit is of 8.

To find the fourth digit, we have to multiply the values at the fourth domino, hence:

Product = 5 x 6 = 30.

The rule for 30, as it is greater than 20, is Product - 27, hence the fourth digit is of 3.

To find the fifth digit, we have to multiply the values at the fifth domino, hence:

Product = 3 x 4 = 12.

The rule for 30, as it is greater than 20, is Product - 27, hence the fourth digit is of 3.

The rule for 12 is Product - 6, hence the fifth digit is of 6.

Thus the five digit code is given as follows: 49836.

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Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer:

Point form: (9,-5)

Step-by-step explanation:

y=-2/3x+1 and x+y=4

Point form: (9,-5)

Equation form: x = 9, y = -5

Answer:

  16x -2

Step-by-step explanation:

You know how to compute the perimeter of a rectangle of length L and width W:

  P = 2(L+W)

Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.

  P = 2((5x-2) +(3x+1))

  P = 2(8x -1)

  P = 16x -2 . . . the perimeter of the rectangle

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

The photographing of Jessica as depicted shows adjacent angles and the angle she tilt the camera from its first position to its second position is 29 degrees

When two angles have a similar vertex and side, they are referred to as adjacent angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end. Adjacent angles have same vertex and side, they can be a complimentary angle or supplemental angle but in this case the sum is 63 degrees. This is to say that

? + 34 = 63

? = 63 - 34

? = 29

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Under the assumption of simple harmonic motion, the package will be at x = 4.50 centimeters at a time of 0.805 seconds.

Simple harmonic motion is a kind of periodic motion represented by sinusoidal functions. Physically speaking, it is a good approximation for periodic motion due to small perturbations and with absence of frictions and viscous forces on the system.

The position of an object under simple harmonic motion is described by the following equation:

x (t) = A · cos (2π · t / T + Ф)      (1)

Where:

If we know that T = 5 s, A = 8.50 cm, Ф = 0 rad and x = 4.50 cm, then the time when the package will reach x = 4.50 cm is:

4.50 = 8.50 · cos (2π · t / 5)

9 / 17 = cos (2π · t / 5)

0.322π = 2π · t / 5

t = 0.805 s

Under the assumption of simple harmonic motion, the package will be at x = 4.50 centimeters at a time of 0.805 seconds.

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Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Answer:

0.5x14 divided by 12.5

Step-by-step explanation:

sorry im too lazy to answer it but use the calc

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

b) $472.50

Step-by-step explanation:

The sale price will be,

→ (600/100) × (100 - 25)

→ 6 × 75

→ $450

Now the final price will be,

→ 450 + ((450/100) × 5)

→ 450 + (4.5 × 5)

→ 450 + 22.5

→ $472.50

Hence, the price of $472.50.

The final price of the gaming system is $472.50, which is the correct answer would be option (B).

The percentage is defined as a ratio expressed as a fraction of 100.

A gaming system costs $600 and is on sale for 25% off. After the discount, there is a 5% tax.

To determine the final price of the gaming system, we need to first calculate the discount and then add the tax.

The discount is 25% of the original price, or 25% x $600 = $150.00.

So the price after the discount is $600 - $150 = $450.00.

The tax is 5% of the price after the discount, or 5% x $450 = $22.50.

Therefore, the final price of the gaming system is $450 + $22.50 = $472.50.

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Answer:

24 days is the answer

Step-by-step explanation:

If the book is 240 pages and each day 10 pages are read you could easily divide 240 by 10 and get 24.   However, you need to use the formulas for your answer I suppose.  So, to get the  x-intercept this is what you do.  You have to use the slope-intercept form y = mx+b  where m=-10 and b = 240 so you end up with y = -10x+240

So now you solve for x-intercept

0 = -10d+240

subtract 240 from both sides so       0 = -10d + 240

                                                         -240              -240

you are left with -240 = -10d.  Now simplify and divide each term by -10     -240/-10 = 24 and -10d/-10 = d

   you are left with d = 24 or 24 = d

You graph the equation by placing a point at  240 on the y axis and 24 on your X-axis.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

\(2x + 2 = 5x - 4 \\ 2x - 5x = - 4 - 2 \\ - 3x = - 6 \\ x = \frac{ - 6}{ - 3} \\ x = 2\)

Answer: B

Step-by-step explanation:

hope this helps

Answer:

Sara spun the freak on its pointed end

Step-by-step explanation:

Answer:

\(x = - 1\)

\(y = 3\)

Step-by-step explanation:

\(y - 4x = 7(eqn \: 1)\)

\(2y + 4x = 2(eqn \: 2)\)

\(solving \: by \: eliminating \: one \: variable\)

\((y - 4x = 7)\)

\( + (2y + 4x = 2)\)

\(3y = 9\)

\(y = 3\)

\(y - 4x = 7\)

\(3 - 4x = 7\)

\( - 4x = 7 - 3\)

\( \frac{ - 4x}{ - 4} = \frac{4}{ - 4} \)

\(x = - 1\)

The solution to this system of linear equations will be (–1, 3). Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

 y − 4x = 7   ...1

2y + 4x = 2  ...2

Add both equations, then we have

3y = 9

 y = 3

Put y = 3 in equation 1, then we have

3 − 4x = 7

     4x = –4

       x = –1

The solution to this system of linear equations will be (–1, 3).

Then the correct option is D.

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We can write:

19950 = 75 x 2² x 3² x 5² - 50 x 2 x 5² x 11 + 45 x 2 x 3² x 11 + 5 x 2 x 3² x 5²

(i) To decompose the expression x²+x+1, we need to factorize it. However, this expression cannot be factored over the real numbers. Therefore, it cannot be decomposed into partial fractions.

For the expression (x+3)(x²-x+1), we can use partial fraction decomposition as follows:

(x+3)(x²-x+1) = A(x+3) + Bx + C

Expanding the right-hand side and equating coefficients with the left-hand side, we get:

x³ + 2x² - 2x + 3 = Ax² + (B+3A)x + (C+3B)

Equating coefficients of like terms, we get the following system of equations:

A = 1

B+3A = 2

C+3B = 3

Solving this system of equations, we get A=1, B=-1, and C=2.

Therefore, we can write:

(x+3)(x²-x+1) = (x-1) + 2/(x+3)

For the expression x-x³-2x²+4x+1, we can factor out an x-1 from the first three terms to get:

x(x-1)² - (x-1) + 5

Now, we can use partial fraction decomposition for the expression (x-1) + 5/x(x-1)² as follows:

(x-1) + 5/x(x-1)² = A/(x-1) + B/(x-1)² + C/x

Multiplying both sides by x(x-1)², we get:

(x-1)x(x-1) + 5(x-1) = Ax + Bx(x-1) + C(x-1)²

Expanding the right-hand side and equating coefficients with the left-hand side, we get:

x³ - x² - 6x + 5 = (B+C)x² + (-2B-2C+A)x + (C-5B)

Equating coefficients of like terms, we get the following system of equations:

B + C = 0

-2B - 2C + A = -1

C - 5B = -6

Solving this system of equations, we get A=-4, B=2, and C=-2.

Therefore, we can write:

x-x³-2x²+4x+1 = (x-1)²(2-x) - 4/(x-1) + 2/(x-1)² - 2/x

(ii) To decompose 19950 into partial fractions, we need to factorize it first. We can write:

19950 = 2 x 3² x 5² x 11

Now, we can use partial fraction decomposition for the expression 1/19950 as follows:

1/19950 = A/2 + B/3² + C/5² + D/11

Multiplying both sides by 19950 and simplifying, we get:

A x 3² x 5² x 11 + B x 2 x 5² x 11 + C x 2 x 3² x 11 + D x 2 x 3² x 5² = 1

Equating coefficients of like terms, we get the following system of equations:

A = 1/(2 x 3² x 5² x 11)

B = -1/(2 x 5² x 11)

C = 1/(2 x 3² x 11)

D = 1/(2 x 3² x 5²)

Therefore, we can write:

1/19950 = 1/(2 x 3² x 5² x 11) - 1/(2 x 5² x 11) + 1/(2 x 3² x 11) + 1/(2 x 3² x 5² x 11)

Multiplying both sides by 19950 and simplifying, we get:

19950 = 45 - 50 + 75 + 5

Therefore, we can write:

19950 = 75 x 2² x 3² x 5² - 50 x 2 x 5² x 11 + 45 x 2 x 3² x 11 + 5 x 2 x 3² x 5²

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Answer:

3.5

Step-by-step explanation:

Divide both sides of the equation by -4 to isolate the variable h.

\(-4h=-14\\h=3.5\)

Therefore, the value of h that makes this equation true is 3.5.

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The curve of intersection between the cylinder x^2 + y^2 = 1 and the plane y + z = 2 is a circle lying on the plane y + z = 2. The parametric equations for this curve are x = cos(θ), y = sin(θ), and z = 2 - sin(θ), where θ is the parameter representing points on the circle.

To find the parametric equations for the curve of intersection between the cylinder and the plane, we can start by parameterizing the cylinder using the angle θ. Since the equation x^2 + y^2 = 1 represents a circle in the x-y plane with radius 1, we can use θ as a parameter to represent points on this circle.

The parametric equations for the cylinder are:

x = cos(θ)

y = sin(θ)

z = 2 - y

Next, we substitute these equations into the plane equation y + z = 2 to determine the intersection points. By substituting y and z, we have sin(θ) + 2 - sin(θ) = 2, which simplifies to sin(θ) - sin(θ) = 0. This implies that the plane equation is satisfied for any value of θ.

Therefore, the intersection between the cylinder and the plane is the entire cylinder itself, lying on the plane y + z = 2. The parametric equations for the curve of intersection are x = cos(θ), y = sin(θ), and z = 2 - sin(θ).

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Answer:

9/14

Step-by-step explanation:

2/7÷4/9=9/14

Solution with Steps

2/7÷4/9=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

2/7×9/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×9/7×4=1/8 2/8

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 18 and 28 using

GCF(18,28) = 2

1/8÷2 2/8÷2=9/14

Therefore:

2/7÷4/9=9/14

The result of 2/7 divided by 4/9 in simplest form is 9/14 .

Hence option D is correct.

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, that 2/7 divided by 4/9 .

Division of fractional terms :

= \(\dfrac{\frac{a}{b}}{\frac{c}{d}}\)

= \(a \times d/b\times c\)

Apply division process on fractional terms,

= \(\dfrac{\frac{2}{7}}{\frac{4}{9}}\)

= \(2 \times 9/ 7 \times4\)

= \(\frac{18}{28}\)

= \(\frac{9}{14}\)

Thus option D is correct.

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Answer: X should just equal 1 therefore the area of the triangle is 16

Step-by-step explanation:

4(1) * 4= 16

3(1)+1= 4 ^^^