lena is sharing 36 muffins equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of muffins. For example, 36÷9=4
means that if each person gets 9 muffins, 4 people can have muffins. Here are some other calculations:


36÷9=4
36÷3=12
36÷1=36
36÷13=?


1. Elena thinks the “?
” represents a number greater than 36. Do you agree?


Agree
Agree

Disagree

By applying the Zero Product Property, which asserts that if the product of two numbers equals zero, then at least one of the quantities must also equal zero, quadratic equations in factored form can be solved.

Any factored quadratic equation, such as (a + b)(a b) = 0, can be solved using the Zero Product Property. If a+b=0, then either an or b must also equal zero, according to the zero product property. We can solve problems like (x+2)(x-5)=0 thanks to this fundamental characteristic.

According to the zero product property, if the sum of two quantities is zero, then either one or both of the quantities must also be zero. This equation can be rewritten as (x + 3) (2 x 1) = 0 to help you solve it.

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the solution to the system of equations is (-2, 3, -5).

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

3x + 2y- 3z = 15....(1)

-2x + 4y+ 2z = 6..........(2)

4z + 12 = -8.........(3)

From equation 3

4z + 12 = -8

z = -5

Substitute the value of z in equation 2

-x + 2y  - 5 = 3

x = 2y -8

Substitute the value of x in equation 1

6y - 24 + 2y +15 = 15

=> 8y = 24

=> y = 3

thus,

x = 2 * 3 -8

x = -2

Therefore, the solution to the system of equations is (-2, 3, -5).

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MO is a perpendicular bisector of NP.The value of x is 3

Lines that cross each side's midpoint and are perpendicular to the specified side are known as a triangle's perpendicular bisectors.The circumcenter (Durell 1928), which is also the centre of the triangle's circumcircle,

Measuring the length of the line segment you need to bisect is an easy approach to discover a perpendicular bisector. Find the midway of the measured length by dividing it by two. From this midway, extend a line at a 90° angle.

6x−1=3x+8

⇒6x−3x=8+1

⇒3x=9

⇒x = 9 / 3 =3

∴x = 3.

MO is a perpendicular bisector of NP.The value of x is 3

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The average ticket price for the concert, expressed in dollars, is given by the equation P = (TP + PR)/(T + ).

The average ticket price, P, in dollars, of all tickets sold to the concert is represented by the equation P = (T + ηR)/(T + η) where T is the original ticket price, R is the price increase, η is the number of tickets sold on the day of the concert, and T + η is the total number of tickets sold to the concert.

In this scenario, before the concert, the theater sells T tickets at a price of P dollars each, and on the day of the concert, the theater increases the ticket price by R dollars and sells η tickets.

Therefore, the average ticket price for all the tickets sold is the sum of the original ticket price and the increased ticket price, divided by the total number of tickets sold.

P = (TP + η(P+R))/(T + η)

P = (TP + ηPR)/(T + η)

So, the equation P = (TP + ηPR)/(T + η) represents the average ticket price, in dollars, of all tickets sold to the concert.

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Answer: 9 + 3x

Step-by-step explanation:

Since the shape of the banner is a rectangle, we know that the equation for area = length * width. I would say that the length is 3+x and the width is 3. Now, we simply just have to use multiplication with distribution to solve.

3(3+x) = 9+3x (also can be written as 3x+9)

**simplest form means no parenthesis**

hope this helps!

Solving the provided question, we can say that Pythagorean theorem to find the length of the paper as follows [tex]9.9^2 = 9.2^2 + (length)^2[/tex] => length = 3.656 inches

The Pythagorean Theorem, sometimes known as the Pythagorean Theorem, is the basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. The Pythagorean Theorem, often known as the generic algebraic notation a2 + b2 = c2, states that the square that crosses the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span the sides of a right triangle.

the Pythagorean theorem to find the length of the paper as follows:

[tex]9.9^2 = 9.2^2 + (length)^2\\length = \sqrt{9.9^2 - 9.2^2} \\length = \sqrt{98.01 - 84.64}\\ length = \sqrt{13.37} \\[/tex]

length = 3.656 inches

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The possible solution to the system of linear inequalities is (40, 4)

An equation is an expression showing the relationship between numbers and variables.

An inequality shows the non equal comparison of two or more numbers and variables.

Given the inequalities:

x + y ≥ 35    (1)

and:

0.40x + 2y ≤ 30    (2)

The solution to the system of linear inequalities is the darker region shown in the graph. A possible solution is (40, 4)

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The monthly payment for this mortgage would be $1,264.14, and the total cost would be $453,860.80.

What is interest ?

Interest is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate.

P = (R * B) / (1 - (1 + R)^(-T*m))

where:

B = the mortgage loan amount, $224,000

R = the monthly interest rate, which can be calculated as 5% APR divided by 12 months per year, so R = 0.05/12 = 0.00417

T = the number of years for the loan term, 30 years

m = the number of payments per year, typically 12 for a monthly payment

Plugging in the values, we get:

P = (0.00417 * 224000) / (1 - (1 + 0.00417)^(-30 * 12)) = 1264.14

The total cost of the mortgage can be calculated as the sum of all monthly payments over the life of the loan, which is P * T * m = 1264.14 * 30 * 12 = 453860.80.

So, the monthly payment for this mortgage would be $1,264.14, and the total cost would be $453,860.80.

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The monthly payment for a $224,000 mortgage at 5% APR for 30 years is $1,013.37 and The total cost of a $224,000 mortgage at 5% APR for 30 years is $365,831.20

To calculate the monthly payment and total cost of a mortgage, you need to use the following formula:

Monthly payment (P) = (R * (1 + R)^n) / ((1 + R)^n - 1) * B, where

R = monthly interest rate (5% APR divided by 12 months)

B = the loan amount ($224,000)

n = the number of payments (30 years x 12 months)

So,

R = 0.05 / 12 = 0.00417

n = 30 x 12 = 360

Substituting the values in the formula:

P = (0.00417 * (1 + 0.00417)^360) / ((1 + 0.00417)^360 - 1) * $224,000

P = $1,013.37

The monthly payment for a $224,000 mortgage at 5% APR for 30 years is $1,013.37.

The total cost can be calculated by multiplying the monthly payment by the number of payments:

Total cost = $1,013.37 * 360 = $365,831.20

So, the total cost of a $224,000 mortgage at 5% APR for 30 years is $365,831.20.

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The mean of the data is given as follows:

9.

The mean of a data-set is obtained as the sum of all observations divided by the number of observations.

The dot plot shows the number of times that each observation appeared in the data-set.

Considering the dot plot, the data-set is given as follows:

5, 7, 7, 13, 13.

Hence the mean of the data-set is obtained as follows:

(5 + 7 + 7 + 13 + 13)/5 = 9.

The dot plot is given by the image presented at the end of the answer.

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Numerical measures of individuals can be calculated by adding or subtracting values that represent a person’s attributes.

For example, a person’s IQ score is calculated by subtracting their mental age from their chronological age, then multiplying the difference by 100. The IQ score formula is IQ = (MA/CA) x 100, where MA is the mental age and CA is the chronological age. So, for example, if a person is 20 years old but has a mental age of 15, their IQ score would be 75 ((15/20) x 100). This numerical measure is useful for determining an individual’s cognitive abilities. Other numerical measures of individuals include body mass index (BMI), which is calculated by dividing a person’s weight in kilograms by their height in meters squared. BMI = Weight (kg) ÷ [Height (m)]2. For example, a person who weighs 70 kg and is 1.7 m tall would have a BMI of 24.2 (70 ÷ [1.7]2). BMI is used to determine whether or not an individual is overweight or obese.

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Answer: I hope this helps

Step-by-step explanation:

26=z/19

Multiply both sides of the equation by 19

then you get

494=z but you need to

Swap the sides of the equation Which is something like this

z=494

Answer:

z = 494

Step-by-step explanation:

Given equation,

→ 26 = z/19

Now the value of z will be,

→ 26 = z/19

→ z/19 = 26

→ z = 26 × 19

→ [ z = 494 ]

Hence, the value of z is 494.

Terms are 4b, 7b, 5 coefficient are 4 , 7 and constant = 4, 7 , 5

What are the parts in expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression:

4b+7b+5

As. term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Terms are 4b, 7b, 5

Now, coefficient is a number that is multiplied by a variable in an expression.

coefficient are 4 , 7

As a constant is a fixed numerical value,

So, constant = 4, 7 , 5

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Answer:

∠ PQS = 15°

Step-by-step explanation:

PQRS is a cyclic quadrilateral

• the opposite angles of a cyclic quadrilateral sum to 180° , then

∠ QPS + ∠ QRS = 180°

∠ QPS + 105° = 180° ( subtract 105° from both sides )

∠ QPS = 75°

the sum of the 3 angles in Δ PQS = 180° , that is

∠ PQS + ∠ PSQ + ∠ QPS = 180°

∠ PQS + 90° + 75° = 180°

∠ PQS + 165° = 180° ( subtract 165° from both sides )

∠ PQS = 15°

Latitude is always presented before longitude when giving a coordinate. Degrees, minutes, and seconds are used to divide latitude and longitude. While a degree is made up of 60 minutes, a minute is made up of 60 seconds.

Latitude lines run parallel with each other from east to west. The more north you travel, the higher the latitude values. Last but not least, latitude values vary from -90 to +90. However, longitude lines run from north to south. Latitudes are lines that are horizontal and indicate how far away from the equator a location is. East and west directions with reference to the Greenwich, England, meridian are shown using longitudes, which are vertical lines. Cartographers and geographers. The grid system that enables us to locate precise or absolute locations on the surface of the globe is made up of latitude and longitude meridian. Drawing imaginary lines that circle the globe vertically (up and down) and connect at the North and South Poles is one step in the longitude calculation.

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Answer: M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation: if you need an explanation just let me know

Answer:

Step-by-step explanation:

25

cause i know this you better trust me

Answer:

25

Step-by-step explanation:

2x+10+4x+20=180° [ being straight angle ]

6x+30=180°

6x=180-30

x=150/6

x=25

EF as a decimal rounded to the nearest tenth is 60.9.

A, I looked online and came across this statistic.

OM is probably perpendicular to CD and EF is perpendicular to ON, and I'm assuming there's more information there.

The chords are similarly split in half by the diameters that intersect them at right angles, so CM = (1/2) CD = 28.

r2 = OM2 + CM2 = 202 + 282 = 1184 r = 474 b; FN is the leg of a right triangle with other leg ON=16 and hypotenuse OF=r because it is a radius; r2 = OM2 + CM2 = 202 + 282 = r = 474 b.

r2 - ON2 = 1184 - 162 = 1184 - 256 = 928 = FN2 = 928

C, By the perpendicular diameter bisecting a chord theorem, EF is twice as large as FN.

EF = 2√928

60.9

A, I looked online and came across this statistic. I'll venture a guess of 1.

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The function that has the lowest minimum value is given as follows:

f(x) = 3/4|x - 8| - 3.

From the table, the minimum value of the function is given at the following coordinate:

(3,-2).

Hence the minimum value is of -2.

The parent absolute value function is given as follows:

f(x) = |x|.

After the vertical compression by a factor of 3/4, the function is given as follows:

f(x) = 3/4|x|.

Shifting 8 units right, the function is of:

f(x) = 3/4|x - 8|.

Shifting 3 units down, the function is of:

f(x) = 3/4|x - 8| - 3.

Meaning that the minimum value is of -3, which is lower than the minimum value of -2 of the function on the table.

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The ​equation of the line is equal to y - 8 = 1/3 (x + 2).

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

The complete question is,

Write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)

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Answer:

Step-by-step

Ask your child to practise division by sharing objects equally. For example, 8 ÷ 2 could be solved by sharing 8 objects into 2 equal groups. Using objects such as your child's toys, items of food, or buttons helps them visualise what the calculation means and keeps them interested.Step-by-step explanation:

Answer:

[tex]-4y^2-2x+13[/tex]

Step-by-step explanation:

[tex]-6x +4y^2+3-8y^2+4x-7x+10\\4y^2-8y^2-6x+4x-7x+10+3\\-4y^2-2x+13[/tex]

Answer:

-3(12x - 1)

Step-by-step explanation:

Answer:

Fraction form: [tex]\frac{10\sqrt{14} }{7}[/tex]

Decimal form: 5.34522483

Answer:

The same thing to both sides.

Step-by-step explanation:

Caey would pay the same amount to be a member of either gym after 5 months. He would pay $350 in total: $150 for the joining fee and $200 for the monthly fees.

Gym 1:

Joining fee: $150

Monthly fee: $35 x 5 months = $175

Total: $150 + $175 = $325

Gym 2:

No joining fee

Monthly fee: $60 x 5 months = $300

Total: $300

Since the totals are the same ($325 = $300) after 5 months, Caey would pay the same amount to be a member of either gym. He would pay $350 in total: $150 for the joining fee and $200 for the monthly fees.Caey would be paying the same amount of money after 5 months of being a member of either gym. He would have to pay a total of $350 - $150 for the joining fee and $200 for the monthly fees. This way, he can decide which gym would be most suitable for him and his budget. He can also choose the gym with the facilities and services that best meet his needs.

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For Identifying the Similar Triangles Here are three ways to show that two triangles are similar.

AA Similarity Two angles of one triangle are congruent to two angles of another triangle.

SSS Similarity The measures of the corresponding side lengths of two triangles are proportional.

SAS Similarity The measures of two side lengths of one triangle are proportional to the measures of two corresponding side lengths of another triangle, and the included angles are congruent.

Intervention is the The measures of two side lengths of one triangle are proportional to the measures of two corresponding side lengths of another triangle, and the included angles are congruent.

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Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

using the property of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-4}[/tex] = [tex]\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{16}[/tex]