Solve this problem:

Jackie wants to take out an ad in the newspaper for her upcoming garage sale. She can buy a 4-line ad for $4.35 that will run for three days. If she wants to spendno more than $15 on advertising, how long can she advertise.

Answer:

61 with a remainder of 2

Step-by-step explanation:

...........

Answer:

the other amount of cash she pays equals to 24 percent so times 350 by 1.24 which equals to $434

Answer:434

Step-by-step explanation:

Total price with $350

Sales tax 4% = $14

And tip 20%= $70

Total paid= $434

Answer: Yes ido

Step-by-step explanation:

The interquartile range of the set of values given is: 11 - 4 =7

To find the interquartile range, you first begin by defining the lower half, the median, and the upper half. The median of the set of figures given is 8. Then the upper half begins at 11 while the lower half begins and ends at 4.

So, to define the interquartile range, we would subtract 7 from 11 to get 4. So, the interquartile range of the values in the dataset is 4.

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Complete Question:

A data set is made up of these values 3,4,5,8,9,11,12 Find the interquartile range

Answer:

y = - \(\frac{2}{31}\)

Step-by-step explanation:

3(2y + 3) + 6(3y - 1) = 1 - 7y ← distribute parenthesis and simplify left side

6y + 9 +18y - 6 = 1 - 7y

24y + 3 = 1 - 7y ( add 7y to both sides )

31y + 3 = 1 ( subtract 3 from both sides )

31y = - 2 ( divide both sides by 31 )

y = - \(\frac{2}{31}\)

Answer:

The radius is 6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

Answer:

40 mph

Step-by-step explanation:

120/3=40

The probability of one event given the known outcome of a (possibly) related event is known as unconditional probability.

Given an incomplete sentence related to probability.

We are required to fill the sentence by the appropriate terms given as options.

Probability is basically the chance of happening an event among all the events possible.  It cannot be negative.

Marginal probability is basically the probability of an event irrespective of the outcome of another variable.

Conditional probability is basically probability of one event occuring in the presence of a second event.

Unconditional probability is basically the chance that a single outcome results among several possible outcomes.

Joint probability is a basically a statistical measure that calculates the likelihood of two events occurring together and at the same point in time.

From the above definitions and the sentence given we can say that the appropriate term is unconditional.

Hence the appropriate term which can be filled in the sentence is unconditional.

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The polynomial function with zeroes at -2, 0, and 3√2 is (x+2)(x-0)(x-3√2) = \((x+2)*(x-3\sqrt{2}) = x^3 - 3x\sqrt{2x} - 2x^2.\)

The polynomial function with zeroes at -1, 3, and 2i is (x+1)(x-3)(x-2i) = \((x+1)(x-3)(x^2+4) = x^3 +x^2 - 11x -12\)

A polynomial function is a function of the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where n is the degree of the polynomial and the a_i are constants. To find a polynomial function with zeroes at -2, 0, and 3√2, we can use the fact that if a polynomial function has a zero at x=c, then (x-c) is a factor of the polynomial. Therefore, we can write the polynomial function as \((x+2)(x-0)(x-3\sqrt{2}) = (x+2)x(x-3√2) = x^3 - 3x\sqrt{2x} - 2x^2\).

In this case, we can see that x = -2, x = 0, x = 3√2 are the zeroes, so we know that (x+2), x and (x-3√2) are the factors of the polynomial.

Similarly, to find a polynomial function with zeroes at -1, 3, and 2i, we can use the fact that if a polynomial function has a zero at x=c, then (x-c) is a factor of the polynomial. Therefore, we can write the polynomial function as \((x+1)(x-3)(x-2i) = (x+1)(x-3)(x^2+4) = x^3 +x^2 - 11x -12\)

In this case, we can see that x = -1, x = 3, x = 2i are the zeroes, so we know that \((x+1), (x-3), (x^2+4)\)are the factors of the polynomial.

It is worth noting that (x-2i) is a zero of the polynomial, so (x-2i)(x+2i) = \(x^2\)+4 is a factor of the polynomial and it is included in the polynomial..

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The value of y - x based on the mentioned two equations is -29/5 or 219/5.

We have equation 1: x² + 4y = 8 and equation 2: x + 5y = 7

Rewriting equation 2 in terms of x

x = 7 - 5y : equation 3

Substitute the value of x from equation 3 into equation 1

(7 - 5y)² + 4y = 8

Expand the bracket

49 + 25y² - 70y + 4y = 8

Rewriting the equation

25y² - 66y + 41 = 0

y = 1/5 or 41/5.

Keep the value of y in equation 2 to find the value of x for solving expression y - x.

If value of y is 1/5

x = 7 - 5(1/5)

x = 7 - 1

x = 6

If value of y is 41/5

x = 7 - 5(41/5)

x = 7 - 41

x = - 34

The possible values of y - x will be :

If y is 1/5 and x is 6, then

y - x = 1/5 - 6

y - x = -29/5

If y is 41/5 and x is -34, then

y - x = 41/5 - (-34)

y - x = 219/5

Hence, the value of y - x can be -29/5 or 219/5.

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Answer:

No, the table does not represent a function.

Step-by-step explanation:

By definition, a function will not have 2 or more results for the same input.

The table shows two values of y for the same x:  (2,1) and (2,4).  The same input, 2, results in two different values, 1 and 4.

See attached image.

The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

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The number of box is an illustration of proportions

8 boxes must be shown on the grid

The proportion is given as:

\(\mathbf{\frac{3}{8} = 18\ eggs}\)

The above proportion means that:

3/8 of the total number of eggs is 18

Let the total number of eggs, be x

So, we have:

\(\mathbf{\frac{3}{8} \times x= 18\ eggs}\)

Express 3/8 as a decimal

\(\mathbf{0.375 \times x= 18\ eggs}\)

Divide both sides by 0.375

\(\mathbf{x= \frac{18}{0.375 }\ eggs}\)

\(\mathbf{x= 48\ eggs}\)

This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid

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Answer:

Y is the appropriate variable and the most easiest and convenient to eliminate

name 2x + y = 7 as equation i

and 3/2 x - y = 7/2 as equation ii

then add equation i and ii together

(3/2 + 2) x + y - y = (7 + 7/2)

(7/2) x = (21/2)

x = 3

then put in x = 3 in equation i

4 + y = 7

x = 7 - 4

x = 3

Therefore x = 3 and y = 3

The Correct choices are :

Answer:

Point E is given by \(\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )\)

Step-by-step explanation:

Let points C and D be \((x_0,y_0),\,(x_1,y_1)\) and let point E divides it in ratio \(m:n\).

Then coordinates of point E are given by \(\left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )\)

Put \(m:n=3:4\)

Point E is given by \(\left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )\)

Now plot point E.

Answer:

x=90

y=45

z=45

ok but i am not sure at all please confirm

Answer:

1 5/12 lb

Step-by-step explanation:

This is a subtraction problem.

He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.

Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.

We start with the

subtraction below

       4 2/3

  -    3 1/4

---------------

The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.

We use the LCD to get

the subtraction below

       4 8/12

  -    3 3/12

----------------

Now we subtract the whole numbers and the fractions.

       4 8/12

  -    3 3/12

----------------

       1 5/12

Answer: 1 5/12 lb

Answer:

55 is c

Step-by-step explanation:

what number times 4 equals 20? ...5

so times 11 and 5 and you'll get 55

Answer:

c=55

20/4 is 5

11*5=55

Answer: In the image I have attached

Step-by-step explanation:

When it comes to graphing you can either do this by creating a table with this equation and plugging in numbers for the x to get yourself values to plug in.

Or, you can use this neat website called desmos to help with graphing equations like these.

Answer:

67 1/2 cm

Step-by-step explanation:

v=lxwxh

v=4 1/2x 6x 2 1/2

v=67 1/2 cm^3

Volume of rectangular prism is given by:

‎ㅤ‎ㅤ‎ㅤ➙ V = l × b × h

Here, we have :

Therefore, volume:

\( \implies\quad \tt {V =l\times b\times h }\)

\( \implies\quad \tt { V =6\times 2\dfrac{1}{2}\times 4\dfrac{1}{2}}\)

\( \implies\quad \small{\tt { V = 6\times \dfrac{(2\times 2)+1}{2}\times \dfrac{(4\times 2)+1}{2}}}\)

\( \implies\quad \tt {V = 6\times \dfrac{4+1}{2}\times \dfrac{8+1}{2} }\)

\( \implies\quad \tt {V =6\times \dfrac{5}{2}\times\dfrac{9}{2} }\)

\( \implies\quad \tt {V =\dfrac{6\times 5\times 9}{2\times 2} }\)

\( \implies\quad \tt { V =\cancel{\dfrac{270}{4}}}\)

\( \implies\quad \tt { V = \dfrac{135}{2}}\)

\( \implies\quad \underline{\underline{\pmb{\tt { V = 67\dfrac{1}{2}\:cm^2}}}}\)

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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The inverse of a number is it's reciprocal. Divide 1 by the number to obtain its reciprocal.

For example, the reciprocal of 5 is 1/5, and the reciprocal of 0.5 is 2. The reciprocal of a number x is denoted by 1/x or x^(-1).

For example, to find the reciprocal of 8, you would divide 1 by 8, like this:

1/8 = 0.125

To find the reciprocal of a fraction, you can also turn the fraction upside down to get its reciprocal. For instance, 4/3 is 3/4's inverse.

To find the inverse of a matrix, you can use the following formula:

A^(-1) = (1/det(A)) * adj(A)

where A is the matrix, det(A) is the determinant of the matrix, and adj(A) is the adjugate of the matrix. The transposition of a matrix's cofactor matrix is adjugate. The cofactor matrix is a matrix of the determinants of the minors of the original matrix, each of which is multiplied by a cofactor (-1)^(i+j). The minors of a matrix are the determinants of the square submatrices formed by deleting one row and one column from the matrix. The determinant of a matrix is a scalar value that can be computed from its elements.

For example, consider the matrix A:

[a b]

[c d]

The determinant of A is:

det(A) equals (a * d) - (b * c).

The cofactor matrix of A is:

[d -b]

[-c a]

The adjugate of A is the transpose of the cofactor matrix, so it is:

[d -c]

[-b a]

The inverse of A is then:

A^(-1) = (1/det(A)) * adj(A)

= (1/((a * d) - (b * c))) * [d -c]

[−b a]

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To find the solution of the compound inequality x − 2 > 4 or 5x ≥ 35, we need to solve each inequality separately and then combine their solutions using the OR operator.

Solving x − 2 > 4, we add 2 to both sides to get x > 6.
Solving 5x ≥ 35, we divide both sides by 5 to get x ≥ 7.

The solution of the compound inequality x − 2 > 4 or 5x ≥ 35 is the set of all values of x that satisfy at least one of the inequalities, which is x > 6 or x ≥ 7.

To graph this solution, we draw a number line and mark the points 6 and 7 with open circles (because they are not included in the solution). Then we shade the region to the right of 6 and/or to the right of 7, as shown below:

<---o---o=========>
6   7

The open circles indicate that 6 and 7 are not included in the solution, because x can be any value greater than 6 or any value greater than or equal to 7, but not both at the same time.

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the problem is x > 6 or x ≥ 7. To explain this solution, we need to solve each inequality separately and then combine the results.

First, we solve x − 2 > 4 by adding 2 to both sides to get x > 6.

Next, we solve 5x ≥ 35 by dividing both sides by 5 to get x ≥ 7.

To combine the results, we take the union of the two solutions, which gives us x > 6 or x ≥ 7. This means that any value of x that is greater than 6 or equal to 7 will satisfy the original compound inequality.

The graph that represents this solution is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

the solution to the compound inequality x − 2 > 4 or 5x ≥ 35 is x > 6 or x ≥ 7, and the graph that represents it is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

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Your current monthly income, before the effect of inflation, is approximately $2,129.63.

To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.

Let's denote your current monthly income as "X."

The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.

Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:

Original Income = $2,300 / (1 + 0.08)

Original Income = $2,300 / 1.08

Original Income ≈ $2,129.63

Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.

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he started with 90 dollars and spent $3.50 each day

The solution of the given system of equations is (-2, -4).

The given system of equations is:x² + 6x + 8 = 0x + 4 = 0To solve the system using graphing, follow the given steps below:Step 1: Graph both the equations on the same coordinate axes. For this, rewrite the given quadratic equation as y = x² + 6x + 8. Then, draw the graphs of y = x² + 6x + 8 and y = -4 on the same coordinate plane. The graphs of both equations intersect at x = -2. Therefore, the solution of the system is (-2, -4).

The graph of y = x² + 6x + 8 is given below: The graph of y = -4 is a straight horizontal line passing through the point (-4, 0).The graph of both the equations on the same coordinate axes is given below: Step 2: Identify the point of intersection of the graphs. The point of intersection of the graphs is the solution of the system. Therefore, the solution of the system is (-2, -4).

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Answer:

x=1, y=5

Step-by-step explanation:

Answer:

The coordinates of Q is (2, 5).

Step-by-step explanation:

When finding the coordinates of a point, begin with the x axis, then the y axis.