Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?

The inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

The one inequality is

y ≤−2x−1

The inequality is represents the relationship between two variables with inequality sign. The inequality will be less than, greater than, less than or equal to and greater than or equal to.

Both lines are parallel therefore the slope of the line will be same that is -2.

The y intercept of the line is +2

The shade is on the top side of the line

Therefore the inequality will be

y>−2x+2

Hence, the inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

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Answer:

Step-by-step explanation:

SHORT ANSWER: perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

LONG ANSWER WITH STEP-BY STEP:

If one side of the square has a length of 10x, then all sides have a length of 10x. Alternatively, if one side has a length of 6x+8, then all sides have a length of 6x+8. Therefore, we can write:

perimeter = 4 * side length

Substituting in the given expressions for the side length, we get:

perimeter = 4 * (10x) = 40x

or

perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

The rectangular prism has a volume of 2688 in³.

A rectangle comprises four equal sides, with the neighboring sides meeting at a 90° angle on each side. Both the Square Rectangle and the Gold Rectangle exhibit these characteristics. An example of a rectangle is a square, which has 4 triangular sides plus four equal angles.

The formula for the volume of a rectangular prism:

Volume = length × height × width

Volume =14in × 16in × 12in

Volume = 2688 in³

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Answer:

\(2 {d}^{2} + 5d - 7 \)

\((2d + 7)(d - 1)\)

Answer:

bc 52dndnxnnxxjxmsowkdkdodjdjdidj

The expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).

The expression \(64 - x^2\) can be simplified using the difference of squares formula, which states that \(a^2 - b^2\)  is equal to (a + b)(a - b).

Applying this formula to the given expression, we have:

\(64 - x^2 = (8^2) - x^2\)

Using the difference of squares formula, we can rewrite this expression as:

(8 + x)(8 - x)

Therefore, the expression \(64 - x^2\)  is equivalent to (8 + x)(8 - x).

This expression represents the difference of two squares, where the value 8 is squared and subtracted by the value x squared.

When simplified, it becomes the product of the sum and difference of the terms 8 and x.

It is worth noting that (8 + x)(8 - x) is a special product known as a difference of squares because it follows a specific pattern of multiplication.

This expression is useful for factoring and simplifying quadratic expressions, as it allows us to rewrite them in a more manageable form.

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7x5 -7 x 2 =21

5x-2x =21

Combine like terms

3x=21

Divide both sides by 3

x=21/3

x=7

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Answer:

1/2 inches for the orange slice I'm not sure about the other one..

To determine if a die is balanced, we can perform a chi-square goodness-of-fit test. In this case, a die is tossed 180 times, and the observed frequencies for each face are given as 28, 36, 36, 30, 27, and 23 for faces 1, 2, 3, 4, 5, and 6, respectively.

To test if the die is balanced, we will conduct a chi-square goodness-of-fit test. The null hypothesis, H0, states that the die is fair and follows an equal distribution for all faces. The alternative hypothesis, Ha, suggests that the die is biased or unbalanced.

We will calculate the expected frequencies assuming a fair die by dividing the total number of tosses (180) by the number of faces on the die (6). Each face would be expected to appear 180/6 = 30 times if the die is fair.

Next, we calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies, divided by the expected frequencies. This test statistic follows a chi-square distribution with (number of categories - 1) degrees of freedom.

Finally, we compare the calculated chi-square test statistic with the critical chi-square value at the given significance level (0.01). If the calculated chi-square value exceeds the critical value, we reject the null hypothesis and conclude that the die is not balanced.

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Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: because it is 5 spaces over

Karen that has a piece of fabric that is 1 187/240 yards long needs to trim 227/240 yards

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

To solve this problem we must perform the corresponding algebraic operations with mixed fraction.

Data of the problem:

A mixed operation is solved as follows:

For the denominator: the same denominator is placed.

For the numerator:

The value of the denominator is multiplied by the integer component.

The result is added to the numerator of the fraction.

We transform the mixed fractions into improper fractions and we have:

1 187/240 =

[(240*1) + 187)] /240=

[240+ 187] /240=

427/240

Calculating how many yards should she trim:

Yards to trim: 427/240 - 5/6

Yards to trim: (427 - 200) / 240

Yards to trim: 227/240

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The gradient field of a function is a vector field that points in the direction of the maximum increase of the function.  In the case of f(x,y,z) = x^2/4 + y^2/4 + z^2 - 1/2, the gradient field is given by <x/2, y, 2z>.

The gradient of a scalar field is a vector field that points in the direction of the maximum rate of increase of the scalar field, and its magnitude represents the rate of increase.

To find the gradient field of f(x,y,z), we first calculate the partial derivatives of f with respect to x, y, and z. The partial derivative of f with respect to x is 2x/4y2/4z2, the partial derivative of f with respect to y is -x2/2y3/4z2, and the partial derivative of f with respect to z is -x2/4y2/2z3/2. The gradient of f is then given by the vector field (2x/4y2/4z2)i - (x2/2y3/4z2)j - (x2/4y2/2z3/2)k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively. This vector field represents the direction and magnitude of the maximum rate of increase of f at any point in space.

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(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1-x_2)²

x_1-x_2=8

Answer:

\(x{_1}^2+x{_2}^2=50\)

\(|x_1-x_2|=8\)

Step-by-step explanation:

Given equation:

\(3x^2-18x-21=0\)

Factor to find the roots:

\(\implies 3(x^2-6x-7)=0\)

\(\implies x^2-6x-7=0\)

\(\implies x^2+x-7x-7=0\)

\(\implies x(x+1)-7(x+1)=0\)

\(\implies (x-7)(x+1)=0\)

Therefore:

\(\implies (x-7)=0 \implies x=7\)

\(\implies (x+1)=0 \implies x=-1\)

Therefore, the roots of the quadratic equation are:

\(x = 7,\quad x = -1\)

Let  \(x_1 = 7\)

Let  \(x_2 = -1\)

\(\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50\)

\(\implies |x_1-x_2|=|7-(-1)|=8\)

Answer:

Step-by-step explanation:

Given the expression ax+by = c, the y intercept of the line occurs at when x = 0

Substitute x = 0 into the expression and get the value of y

ax+by = c

a(0)+by = c

0+by = c

by = c

divide both sides by b

by/b = c/b

y = c/b

Hence the y intercept of the line occurs at y c/b

Answer:

8(3+8)

Step-by-step explanation:

The distributive property of multiplication states that

A(B+C) = A* B + A* C

Here, we can say that

8(3+8) = 8*3 + 8* 8 = 24 + 64. This seems correc,t but we can check the other options to make sure

6(4 + 8) = 6 * 4 + 6*8 = 24 + 48. This is incorrect

24 + (8)(8) . The 24 and 8 are not in the same parenthesis, so we cannot multiply them. Using PEMDAS, we multiply first, so 24+(8)(8) = 24 + 8*8 = 24 + 64. If there are multiple solutions, this can work. If not, this does not use the distributive property as we are not adding anything in the parenthesis.

Similarly, for (2)(12) + (8)(8), we are not adding anything in the parenthesis, but we can use PEMDAS to get 2*12 + 8*8 = 24 + 64, so this would also work but does not use the distributive property.

The expressions that represent the perimeter of the pool are given as follows:

The perimeter of a rectangle of length l and width w is calculated as follows:

P = 2(l + w).

The length is 3 more than 2 times the width, hence the expression is given as follows:

l = 3 + 2w.

Thus the expression for the perimeter is given as follows:

P = 2(3 + 2w + 2)

P = 6 + 6w.

The perimeter can also be written as a function of the length, as follows:

l = 3 + 2w.

2w = l - 3

w = 0.5l - 1.5.

Then the perimeter is given as follows:

P = 2(l + w)

p = 2(l + 0.5l - 1.5).

P = 3l - 3.

The problem asks for two expressions, hence we wrote one expression for the perimeter as a function of the width and another as a function of the length.

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Step-by-step explanation:

Force = Mass × Acceleration

Hope it helps :)

★ As per newton's second law of motion, force is measured as the product of mass and acceleration\(.\)

F denotes force

m denotes mass

a denotes acceleration

➤ Force is a polar vector quantity as it has point of application.

It has both magnitude as well as direction.

The value of x in the given inequality is x is greater than or equal to 16.

Using symbols like (less than), > (greater than), (less than or equal to), or (greater than or equal to), an inequality compares two values or expressions and illustrates their connection (not equal to). When values or phrases are being compared, it is said that there exist inequalities. For instance, the inequality x + 2 7 signifies that "x plus 2 has a value less than 7."

The given inequality is x - 4 ≥ 12.

Add 4 on both sides of the inequality:

x - 4 + 4 ≥ 12 + 4

x ≥ 16

Hence, the value of x in the given inequality is x is greater than or equal to 16.

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In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰

We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.

The given angles are

31⁰,  (x+4)⁰,  (3x+9)⁰

The sum of angles of the triangle

31+x+4+3x+9=180⁰

44+4x=180⁰

Collecting like terms

4x=136

Dividing by 4

x=34⁰

Substituting the value of x=34 in the given angles we have

R= 31⁰,             given

 (x+4)⁰   = 34+4=38⁰,  (3*34+9)⁰=111⁰

In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰

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Her new chance of being pregnent given posite result is roughly 99%

What's probability?

Probability is a fine conception that measures the liability of an event being. It's expressed as a number between 0 and 1, where 0 indicates that the event is insolvable, and 1 indicates that the event is certain to do.

his problem can be answered using Bayes' Theorem. Let P( P) be the probability that your friend is pregnant, and let P(| P) be the probability that the test is positive given that your friend is pregnant. also, let P(-| ¬ P) be the probability that the test is negative given that your friend isn't pregnant.

From the problem statement, we have

P( P) = 0.5(50/50 chance of being pregnant before the test)

P(| P) = 0.91( the probability of a positive test given a pregnant woman)

P(-| ¬ P) = 0.99( the probability of a negative test given anon-pregnant woman)

We want to calculate P( P|), the probability that your friend is pregnant given a positive test. We can apply Bayes' Theorem to find this

P( P|) = P(| P) * P( P)/ P()

where P() is the probability of a positive test, which can be calculated using the law of total probability

P() = P(| P) * P( P) P(| ¬ P) * P( ¬ P)

where P( ¬ P) is the complement of P( P), i.e., the probability that your friend isn't pregnant

P( ¬ P) = 1- P( P) = 0.5

Substituting these values, we get

P() = 0.91 *0.50.01 *0.5 = 0.46

Now we can calculate P( P|)

P( P|) = P(| P) * P( P)/ P() = 0.91 *0.5/0.46 ≈0.99

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The line integral is 32.3110. The process of calculating this has been explained below.

Our line segment has a slope that is given by = m = 6 - 1 / 3 - 1

= m = 5/2

From this, we use a line's point-slope form and write this in the form -

= y−1=5/2(x−1)

= y  = 5/2x−3/2

From this, we get x ∈ [3,1]. Now, we will -

= dy/dx = d/dx(5/2x−3/2) =5/2

From this, we can conclude that the line element is going to be -

= ds = \(\sqrt{\frac{dy}{dx}^{2} + 1dx }\)

= ds = \(\sqrt{\frac{5}{2}^{2} + 1dx }\)

= ds = \(\sqrt{29}\)/2 dx

No, we integrate the given integral -

= \(\int\limits^1_3 {[3x^{2} - 2(\frac{5}{2}x - \frac{3}{2} ) ]\frac{\sqrt{29}}{2} } \, dx\)

By integrating this, we get -

= 32.3110

The complete question that you might be looking for is -

Evaluate the line integral of \int (3x^2-2y)ds over the line segment from (3,6) to (1,1).  Use the equation of the line (y=mx+b) to solve.

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Answer:

Step-by-step explanation:

1 and 3 are vertical angles so m∠1 = m∠3

(4x - 2)° = 62°

4x - 2 = 62

4x = 64

x = 16

Answer:

Context? You need to have some information or a picture.

Step-by-step explanation:

The piecewise function for the cost of an ad based on the number of characters x is:

c(x) =

$46 (for x ≤ 200)

$46 + $0.15 × (x - 200) (for x > 200)

To express the cost c(x) of an ad as a piecewise function based on the number of characters x, we need to consider the different scenarios.

Let's define the piecewise function:

c(x) = $46 for the first 200 characters (x ≤ 200)

c(x) = $46 + $0.15 × (x - 200) for additional characters (x > 200)

Explanation:

For the first 200 characters (x ≤ 200), the cost is a fixed $46.

For any additional characters beyond 200 (x > 200), the cost is calculated by taking the difference between the number of characters beyond 200 (x - 200) and multiplying it by the additional charge of $0.15.

This accounts for the variable cost based on the number of additional characters.

We must take into account the various possibilities in order to define the cost c(x) of an advertisement as a piecewise function dependent on the character count x.

Describe the piecewise function first:

For the first 200 characters (x 200), c(x) equals $46.

For extra characters (x > 200), the cost is c(x) = $46 + $0.15 (x - 200).

Explanation:

It costs a flat $46 for the first 200 characters (x 200).

The cost is determined by subtracting the number of characters over 200 (x - 200) and multiplying it by the $0.15 surcharge to account for any additional characters (x > 200).

This takes into consideration the variable cost determined by the quantity of extra characters.

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Answer:

what is the question for the first sum actually??

Step-by-step explanation:

im sorry i didn't really seem to understand

Answer:

The two ratios are inverse of each other that's why 96:38 is not the same as 38:96.

Step-by-step explanation:

I took the assignment.

\( - 4 - 6 \\ taking \: ( - ) \: common \\ - (4 + 6) \\ - (10) \\ - 10 \: \: is \: your \: answer\)

Answer: -10

Step-by-step explanation:

Answers as follows:

To change a fraction to a decimal, one divides the numerator by the denominator.

(a)  " 5 out of 9 "  can be written as:  " \(\frac{5}{9}\) " .

          →  \frac{5}{9} = [5 ÷ 9] = 0.55555555555.... ;

          To write as a percentage, we move the decimal place two (2) spaces over, and then add the percentage sign:
          ⇒  0.5555555555555555555......

   to:  " 55.5555555555555.......% "  ;

 or,  round to: 55.555 % .

(b)  " 72 out of 123 "  can be written as:  " \(\frac{72}{123}\) " .

          →  \frac{72}{123} = [72 ÷ 123] = 0.5853658536585366 ;

          To write as a percentage, we move the decimal place two (2) spaces over, and then add the percentage sign:
          ⇒  0.5853658536585366.

   to:  " 58.53658536585366.......% "  ;

 or, round to: 58.5375 %  .

Source(s):
Online Web2.0 Scientific Calculator .

Answer:

c=5/9f+-160/9      f=9c+160/5

Step-by-step explanation:

Answer:

First box: F (because we don't know the degrees Fahrenheit yet.

Second box: -62.1 (the degrees Celsius it tells us to find the equivalent of

Step-by-step explanation:

Solving the equation will go like this:

5/9(F - 32) = -62.1

multiply both sides by 9 to get rid of the fraction

5 (F - 32) = -558.9

divide both sides by 5

F - 32 = -111.78

add 32 to both sides

F = -79.78

I checked the math twice.

Let me know if you have questions.