Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
buy the scrapbook. Each sheet of paper costs $3.00. How many sheets of paper can she buy?

Answer:

Width = 4ft

Step-by-step explanation:

Area of the rectangular mural = Length × Breadth

7 ft tall and 11 ft wide.

(11 - 2W)(7 - 2W) = 88

77 -22W - 14W + 4W² = 88

77 -36W + 4W² = 88

4W² - 36W + 77 - 88

= 4W² - 36W - 11

W = 4ft

Answer:

5/8

Step-by-step explanation:

The answer choices which represent the meaning of bisecting something from the answer choices are;

It follows from the task content that the choices achieved by bisecting something are to be identified.

As the word implies, the term bisecting simply means cutting into equal pieces.

This follows from the prefix bi- in the word as it means two while sectioning simply involves the division.

Ultimately, the answer choices achieved by bisecting something are;

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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The value of x₁ = 4 and x₂ = -1 for the first system of linear equation.

A set of one or more linear equations comprising the same variables is known as a system of linear equations (aka linear network) in mathematics. The designation of weights to the variables of a linear system such that all of the equations are concurrently satisfied is the solution. The subject of linear algebra, which is employed in most areas of contemporary mathematics, is based on the theory of linear systems.

The system of linear equation is:

x₁ + 3x₂ = 1 ........(1)

2x₁ + 5x₂ = 3.........(2)

Equation 1 can be written as:

x₁ = 1 - 3x₂

Substitute the value of x₁ in equation 2:

2(1 - 3x₂) + 5x₂ = 3

2 - 6x₂ + 5x₂ = 3

-x₂ = 1

x₂ = -1

Substitute the value of x₂ in equation 1:

x₁ + 3(-1) = 1

x₁ = 1 + 3

x₁ = 4

Hence, the value of x₁ = 4 and x₂ = -1 for the first system of linear equation.

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Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Answer:

Refer to the attachment

Answer:

6a²+7ab-7a+17b-20b²-3

Step-by-step explanation:

3a(2a+5b-3)-4b(2a+5b-3)+1(2a+5b-3)

6a²+15ab-9a-8ab-20b²+12b+2a+5b-3

Collect like terms

6a²+15ab-8ab-9a+2a+12b+5b-20b²-3

6a²+7ab-7a+17b-20b²-3

Answer:

\(c > -1\)

Step-by-step explanation:

\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)

Answer:

1581.62810745 square km

Step-by-step explanation:

P = Initial Area = 2500 square km.

r = rate of decreasing = 8.75%

n = number of years = 5 years

A = 2500 ( 1 - 8.75/100)^5

A = 2500 {(100–8.75)/100}^5

A = 2500 (91.25/100)^5

A = 2500 (0.9125)^5

A = 2500 * 0.63265124298

A = 1581.62810745

The limit dimensions of the part are 3.135 inches and 3.155 inches

The given parameters are

Thickness = 3.145 inches

Tolerance = 0.010 inches

The limit dimensions of the part are calculated as

Limit = Thickness +/- Tolerance

So, we have

Limit = 3.145 inches +/- 0.010 inches

Expand the above expression

So, we have

Limit = (3.145 inches - 0.010 inches, 3.145 inches + 0.010 inches)

Evaluate the sum

Limit = (3.135 inches, 3.155 inches)

Hence, the limit dimensions of the part are 3.135 inches and 3.155 inches

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Answer:

5cm^3

Step-by-step explanation:

Hi there!

\(\large\boxed{C. \text{ } 1}\)

csc (π/2)

π/2 is located at (0, 1)

csc is equal to 1/y, or the reciprocal of the y-value

Therefore:

csc(π/2) = 1/1 = 1. C is the correct answer.

Answer:

-5.3

Step-by-step explanation:

Simplify the expression.

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Given the following information in the scenario:

A family pays $29.99 for a dinner meal.

They leave a 15% tip.

A.) Let's determine first how much was the tip by this formula:

We get,

B.) Let's determine the total price of the meal.

We get,

Therefore, the Family pays a total price of $34.50 for the dinner meal including the $4.50 tip.

The answer is letter D.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

R'(-9,4)  --------------- R'(9,-4)

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  R(-9, 4) ⇒ R'(9, -4)

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate only:

  (x, y) ⇒ (x, -y) . . . . . . . reflection over the x-axis

__

When both signs are changed, the reflection is over the origin:

  (x, y) ⇒ (-x, -y) . . . . . . reflection over the origin (or rotation 180°, or reflection over both axes)

__

All of the answer choices show one of these reflections. The first choice shows reflection over the origin, so the x-axis is not the line of reflection for ...

  R(-9, 4) ⇒ R'(9, -4) . . . . . . origin is the point of reflection

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

The small angle is 20

The large angel is 160

Step-by-step explanation:

x + y = 180

x = 8y                Substitute for x in the top equation

8y + y = 180      Combine

9y = 180            Divide by 9

y = 180/9

y = 20

x = 8y

x = 8 * 20

x = 160  

Answer:

  220

Step-by-step explanation:

You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.

Subtracting each term from the next, we find the sequence of first differences to be ...

  5, 7, 13, 23, 37, 55

The first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.

The second differences are the differences of the sequence of first differences. They are ...

  2, 6, 10, 14, 18

The differences of the terms of the 2nd-difference sequence are constant: 4.

  4, 4, 4, 4, 4

Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.

Since we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.

  next 2nd difference = 18 +4 = 22

  next 1st difference = 55 +22 = 77

  next sequence term = 143 +77 = 220

The eighth term should be 220.

__

Additional comment

The n-th term is ...

  f(n) = 2/3n^3 -3n^2 +28/3n -4

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are \((3n-28)^\circ$ and 83^\circ.\)

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

\((3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37\)

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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9514 1404 393

Answer:

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  \(\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right]\)

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

Answer:

288 gjhhjkkkkggvcfghjjj

Answer:

c

Step-by-step explanation:

Answer:

240 customers

Step-by-step explanation:

144 is 60% of the total customers. We can refer to this as a ratio.

\( \frac{144}{x} = \frac{60}{100} \)

Let x be the total number of customers. (60% is 60/100).

Cross multiply to find the value of x.

\(14400 = 60x\)

(Divide by 60 from both sides.)

\(240 = x\)

So, 144 is 60% of 240. 240 total customers rated it as good.

Answer:

Step-by-step explanation:

okay so if the centimeter is 3 you would multiply it by 6 cm and that

18 and then mulitiply that by 12 and your answer is

216

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:22.7

Step-by-step explanation: 170/7.481=22.724234728 rounded to the nearest tenth is 22.7

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).