help asap. will give best answer.

Answer:

Step-by-step explanation:

Since a total of 96 people have entered the store and 32 of them have bought 2 or more items, it is clear that the next person entering the store has a probability of 32/96 or 1/3 that he/she will buy 2 or more items.

Points A, B, and C are collinear, then:

AB + BC = AC

Point B is the midpoint of AC, then:

AB = BC

Replacing with the equations of AB and BC, we get:

2x + 16 = 4x - 4

2x is adding on the left, then it will subtract on the right

4 is subtracting on the right, then it will add on the left

16 + 4 = 4x - 2x

20 = 2x

2 is multiplying on the right, then it will divide on the left

20/2 = x

10 = x

Then:

AB = 2x + 16 = 2(10) + 16 = 20 + 16 = 36

BC = 4x - 4 = 4(10) - 4 = 40 - 4 = 36

AC = AB + BC = 36 + 36 = 72

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

\(\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Step-by-step explanation:

\(y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Remember to use the Quotient Rule

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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Answer: To get 24

Step-by-step explanation

What you would need to do is first multiply 12 x 5 would come out as 60.

Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.

Answer:

$ 6.20 Cents

Step-by-step explanation:

17 - 5.50= 11.5

11.50 - 5.30= 6.2

Add A Zero at the end

You Get 6.20

Step-by-step explanation:

-11+3=-8

-8+3=-5

-5+3=-2

From the topic of sequence and series

These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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Step-by-step explanation:

The correct answer is: Point B.

The easiest way to solve this is to make the fraction, 3/5, to a decimal.

3/5 = 0.6

Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.

Answer:

Step-by-step explanation:

Answer:

A. Shifted 3 unit right and 2 unit down

Step-by-step explanation:

Let's determine the reason for the answer.

We will use a reference point, only one point to determine the reason.

Because the both shape are identical.

Let's use point A

The position of A is 2 on the y axis and 1 on the x axis

While the position of A' is 0 on the y axis and 4 on the X asis

Let's know how many units where moved from the position.

A' -A

For X axis

4-1= 3

For y axis

0-2= 2(we need only the magnitude)

So its 2 units Down and 3 unit right

After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

We are given that the factored form of 30.8n+8.4 is a(11n+3).

To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.

Expanding a(11n+3), we get:

a(11n+3) = 11an + 3a

Equating this to 30.8n+8.4, we have:

11an + 3a = 30.8n + 8.4

We can factor out an "a" from the left-hand side:

a(11n + 3) = 30.8n + 8.4

Now we can see that this is the same as the given factored form, so we can equate the two expressions:

a(11n + 3) = a(11n + 3)

This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):

a = 30.8/(11n+3)

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Answer:

he needs $279

Step-by-step explanation:

715-436= 279

Answer:

((2^(-2))÷(3^3))^4=

Step-by-step explanation: expand

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Cost of each pound choice birdseed = $1.51

Cost of each pound garden birdseed = $0.91

• Let "x" be the amount (in lb) of choice birdseed, and

• Let "y" be the amount (in lb) of garden birdseed

Becky purchases 20 pounds of birdseed, so we can write:

Total amount spent on birdseeds is $26. Thus, we can write:

We can solve for "x" in the first equation, substitute into the second equation and solve for "y". All the steps are shown below:

We can use this value and substitute into the first equation and figure out the value of "x". Shown below:

Pounds of Choice Birdseeds = 13

Pounds of Garden Birdseeds = 7

The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

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9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The corresponding sides are proportional:

  (2x +1)/5 = (x +2)/3

  3(2x +1) = 5(x +2) . . . . . cross multiply

  6x +3 = 5x +10 . . . . . . . eliminate parentheses

  x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides

Answer:

\(x+y = 80\\325x+50y = 6, 750\)

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

\(x+y = 80 ............ 1\)

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

\(325 \times x \\325x\)

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

\(50 \times y\\50y\)

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

\(325x+50y = 6,750 .............. 2\)

Hence the system of equations represents the situation is:

\(x+y = 80\\325x+50y = 6, 750\)

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

Step-by-step explanation:

Answer:

False. It is not possible for a triangle to have two right angles.

Step-by-step explanation:

Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.

Answer:

-2.83333333

Hope this helped!

Answer:

\(\frac{1}{3}\)x-1

Step-by-step explanation:

(\(\frac{5}{6}\)x-7)-(\(\frac{1}{2}\)x-6) =

The - sign before 6 is turned into a + sign when the bracket is removed because the arithmetic operation before the bracket is - and two - makes the second - turn into a + (It's a rule I can't rlly explain it well but yea)

\(\frac{5}{6}\)x-7-\(\frac{1}{2}\)x+6 = \(\frac{5}{6}\)x-1-\(\frac{1}{2}\)x

-7+6 makes it a -1.

\(\frac{5}{6}\)x-\(\frac{1}{2}\)x-1 = \(\frac{5}{6}\)x-\(\frac{3}{6}\)x-1

To make the denominator of the two fractions the same, I multiplied the second fraction by 3 so that both denominators are 6.

\(\frac{5}{6}\)x-\(\frac{3}{6}\)x-1 = \(\frac{2}{6}\)x-1

After making the denominator the same, I can directly do the equation for the numerators (5-3=2) and keep the denominator the same.

\(\frac{2}{6}\)x-1 = \(\frac{1}{3}\)x-1

Since 2/6 has a common factor which is 2, I can divide both the numerators and denominators so that the fraction can be simplified further into 1/3, its simplest form.