nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box

Answer:

650%

Step-by-step explanation:

100%=1

6*100=600

1/2=0.5

0.5*100(to get into a percentage) =50

600+50=650

Step-by-step explanation:

x is the depth. put the given depths in the given formula and then find their difference.

T1=4500/1000=4.5°C

T2=4500/2500=1.8°C

now the difference:

∆T=T2-T1

∆T=1.8-4.5= -2.7°C

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!

Answer: 2/90 = 1/45

Step-by-step explanation:

The solution of the system of equations 2xy = z, 4x + z = 4y, y = x + 1 are:

x = 1, y = 2, z = 4 and;

x = - 2, y = - 1, z = 4.

Consider the system of equations,

2xy = z                                                                                              ------------(1)

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

y = x + 1                                                                                            -------------(3)

Substituting equation (3) in equation (2),

4x + z = 4y

4x + z = 4( x + 1)

4x + z = 4x + 4

z = 4

Substituting equation (3) in equation (1),

2xy = z

2x( x + 1 ) = z

2x² + 2x = 4

x² + x = 2

Hence, x = 1, - 2

Therefore,

When x = 1,

y = x + 1 = 2

When x = - 2, y = x + 1 = - 1

So, the solution for the system of the equations are x = 1, y = 2, x = 4 and x = - 2, y = - 1, z = 4.

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Answer 1.50

Step-by-step explanation: here are 16 ounces in a pound, so 3/4 pound is equal to (3/4) x 16 = 12 ounces.

If a package of sliced deli meat weighing 12 ounces costs $6, then the cost per ounce of meat is:

$6 ÷ 12 = $0.5 per ounce

Since Tony uses 3 ounces of meat, the cost of meat on Tony's sandwich is:

3 ounces x $0.5 per ounce = $1.50

Answer:

Step-by-step explanation:

\(\frac{3x^4}{(\frac{1}{x^2})^2} \\= 3x^8\)

Answer:

\(3x^{8}\)

Step-by-step explanation:

\((x^{-2})^{2}\) is equal to \(x^{-4}\). Whenever an x has a negative exponent, it means that you can put it to the other side, whether it be from denominator to numerator or numerator to denominator. In this case, because it is in the bottom it goes from denominator to numerator. You will end up with something like \(3x^{4} x^{4}\) but you can add the X's and end up with the answer.

The demand equation, by assuming it is linear. The equation expresses price p in terms of quantity q, q  =  -10000/3p + 52000

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An album is downloaded 12000 times per week when its price is $12

It is downloaded 22000 times per week when the price drops to $9

The demand equation = ?

Suppose, price is expressed as p and quantity as q

Formula of linear relationship,

y = mx + c

So,

q  = mp + c

when,  p = 12 then q = 12000

12000 = 12m + c  _________(i)

when, p = 9 then q = 22000

22000 = 9m + c  _________ (ii)

Now by using elimination method solve equation i & ii

12m + c    =   12000

- 9m + (-c) =  -22000

3m  = -10000

m  = -10000/3

12m + c = 12000

c  = 12000 - 12 x (-10000/3)

c  =  12000 + 40000

c  =   52000

q  = -10000/3p + 52000

The equation is q  =  -10000/3p + 52000

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|x- 1,200|= 125 is an absolute value equation to represent the boutique owner goal.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative.

The example for absolute value is |-9|=9.

|x- 1,200|= 125 is the correct representation to achieve her goal because it will result in rise of goal. Other options will give negative sign and that is impossible.

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|x- 1,200|= 125 is an absolute value equation to represent the boutique owner goal.

What is meant by absolute value?

Absolute value is a term used in mathematics to refer to the magnitude or distance of a number from zero regardless of its sign. In other words, it is the numerical distance of a number from zero on the number line, regardless of whether it is a positive or negative number. For example, the absolute value of -3 is 3, and the absolute value of 3 is also 3. The symbol for absolute value is two vertical lines surrounding the number or expression, for example |-3| = 3.

Write an example of absolute value.
The example for absolute value is |-9|=9.

|x- 1,200|= 125 is the correct representation to achieve her goal because it will result in rise of goal. Other options will give negative sign and that is imposible.

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Answer:

  (c)  corresponding angles

Step-by-step explanation:

You want to know the description of the marked angles in the given diagram.

Interior angles are between the "parallel" lines. Angle 5 is interior, but angle 1 is not, so they cannot be described as interior angles.

Exterior angles are both outside the "parallel" lines. Angle 1 is exterior, but angle 5 is not, so they cannot be described as exterior angles.

Corresponding angles are both in the same direction from the point of intersection of the "parallel" lines with the transversal. Here, both angles 1 and 5 are "northwest" of the intersection point, so are corresponding angles.

Alternate angles are on opposite sides of the transversal. Consecutive, or same-side, angles are on the same side of the transversal. Angles 1 and 5 are not alternate angles, as they are both on the same side of the transversal.

Answer:

The solution:

X = 16 and Y = -6

Step-by-step explanation:

The equations to be solved are:

x+y = 10 ------- equation 1

x+2y = 4 ----------- equation 2

we can multiply equation 1 by -1 to make the value of x and y negative.

This will give us

-x- y = - 10 ------- equation 3

x+2y = 4 ----------- equation 2

We will now add equations 3 and 2 together so that x will cancel itself out.

this will give us

y = -10 +4 = -6

hence, we have the value of y as -6.

To get the value of x, we can put this value of y into any of the equations above.  (I will use equation 1)

x - 6 = 10

from this, we have that x = 4

Therefore, we have our answer as

X = 16 and Y = -6

Step-by-step explanation:

To calculate the volume of the bucket, we can use the formula for the volume of a frustum (a truncated cone):

V = (1/3)πh (r₁² + r₂² + r₁r₂)

where h is the height of the frustum, r₁ and r₂ are the radii of the top and bottom circles respectively.

In this case, the height (h) of the frustum is 4 cm, the top radius (r₁) is half of the top diameter, which is 12 cm / 2 = 6 cm, and the bottom radius (r₂) is half of the bottom diameter, which is 8 cm / 2 = 4 cm.

Substituting these values into the formula, we get:

V = (1/3)π(4) (6² + 4² + 6*4)

= (1/3)π(4) (36 + 16 + 24)

= (1/3)π(4) (76)

= (4/3)π(38)

= 50.265 cm³ (approx)

Therefore, the volume of the bucket is approximately 50.265 cm³.

Answer:

Step-by-step explanation:

\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)

Answer:

X = 2 and X = -8

Step-by-step explanation:

X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10

X2 + 6X -16 =0

here we need to find if there are two numbers there sum is +6 and there product is -16.

here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8

-2+8= +6

-2*8= -16

( X - 2 ) * ( X + 8 ) =0

X - 2 = 0 ...... when -2 pass equality sign it will become+2

X = 2

X + 8 =0 ..... when +8 pass equality sign it will become -8

X = -8

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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Answer: 162%.

Step-by-step explanation:

To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.

The difference between Patrick's old score and his new score is:

328 - 125 = 203

The percentage increase is:

203/125 x 100% = 162.4%

Rounded to the nearest whole number, the percentage increase is 162%.

Answer:

Step-by-step explanation:

16 students study spanish, but 6 student that study spanish are also in the band.

16-6=10

So there are 10 students who only study spanish.

Answer:

below

Step-by-step explanation:

q=9/2

The solution of the proportion for the value of q will be 9 / 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2 / 3 = 3 / q. The expression will be solved as:-

2 / 3 = 3 / q

q = ( 3 x 3 ) / 2

q = 9 / 2

Therefore, the solution of the proportion for the value of q will be 9 / 2.

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Answer:

The probability is 0.51

Step-by-step explanation:

We want to find the of choosing a red card for the second card drawn, given that the first card drawn without replacement, was a club.

Then we need to assume that the first card drawn was a club, so now we have a deck of 51 cards with:

13 hearts

13 diamonds

13 spades

12 clubs.

Now with this deck, the probability of drawing a red card is equal to the quotient between the number of red cards and the total number of cards in the deck.

We have 26 red cards (13 hearts  + 13 diamonds)

And there is a total of 51 cards in the deck, then the probability of drawing a red card now is:

P = 26/51 =0.51

The probability is 0.51

The answer to this problem is .

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

the answer is 30

Step-by-step explanation:

hope it helps

Answer:

395, 396, 397, 398, 399

Step-by-step explanation:

Answer:

1. 358

2. 363

3.401

4.447

5.439

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Answer:

hi 51.2 is the answer

Step-by-step explanation:have a good day.

The population of California in the year 2025 is approximately 57.96 million.

To calculate the population of California in 2025, we need to use the population growth formula:

Population in the future = Population in the present * \((1 + Growth rate)^{Number of years}\)

Given:

Population in 1995 = 32 million

Growth rate = 2% = 0.02 (in decimal form)

Number of years = 2025 - 1995 = 30 years

Now, let's calculate the population in 2025:

Population in 2025 = 32 million * (1 + 0.02)³⁰

Population in 2025 ≈ 32 million * (1.02)³⁰

Population in 2025 ≈ 32 million * 1.8114

Population in 2025 ≈ 57.9648 million

Therefore, the population of California in the year 2025 is approximately 57.96 million.

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Answer:

6

Step-by-step explanation:

9+9=18 pencil

6+6=12 erasers

Answer:

x=20 and x=4

Step-by-step explanation: