Here is a list of numbers:

24
,


87
,


79
,


82
,


12
,


2
,


79
,


32
,


46
,


90

Answer:

Outside

Step-by-step explanation:

From what I see, your question might look like this a(b +/- c)

"a" would be on the outside.

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Answer: $54,742.75

Step-by-step explanation:

Each year you need to multiply the employee's current salary by 4% (in decimal form this is 0.04). Then you add the result to their current salary.

Year 1

40000 * 0.04 = 1600

40000 + 1600 = 41600

Year 2

41600 * 0.04 = 1664

41600+ 1664 = 43264

Year 3

43264 * 0.04 = 1730.56

43264+ 1730.56 = 44994.56

Year 4

44994.56 * 0.04 = 1799.78

44994.56+ 1799.78 = 46794.34

Year 5

46794.34 * 0.04 = 1871.77

46794.34+ 1871.77 = 48666.11

Year 6

48666.11 * 0.04 = 1946.64

48666.11+ 1946.64 = 50612.75

Year 7

50612.75 * 0.04 = 2024.51

50612.75+ 2024.51 = 52637.26

Year 8

52637.26 * 0.04 = 2105.49

52637.26+ 2105.49 = 54742.75

Answer:

403

Step-by-step explanation:

when you use a scientific calculator cahio you would get the answer

First, how many days are in a week?

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

Answer:

x = 7.43

Step-by-step explanation:

X - 2.13 = 5.3

add -2.13 to both sides

x -2.13+2.13 = 5.3 + 2.13

-2.13 + 2.13 cancel out and 5.3 +2.13 equals 7.43

therefore x =7.43

check your work by substituting 7.43 for x

7.43 - 2.13 = 5.3

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:

Perimeter of rectangle = 2(L + B)

→ 64 = 2(3x + x)

→ 64 = 2(4x)

→ 64/2 = 4x

→ 32 = 4x

→ 32/4 = x

→ 8 = x

Hence,

Answer:

⠀

Step-by-step explanation :

⠀

As it is given that, the legnth of a rectangle is three times its width and the perimeter is 64 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as w inches and therefore, the length will be 3w inches .

⠀

Now, According to the Question :

⠀

\({\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{2 (3 x + x )= 64 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{2 (4x )= 64 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{8x= 64 }}}}\)

⠀

\({\longrightarrow \qquad { {\sf{ x = \dfrac{64}{8} }}}}\)

⠀

\({\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 8}} }}} }\: \: \bigstar\)

⠀

Therefore,

⠀

Now, We are to find the length of the rectangle:

\({\longrightarrow \qquad{ { \frak{\pmb{Length = 3x }}}}}\)

⠀

\({\longrightarrow \qquad{ { \frak{\pmb{Length = 3 \times 8 }}}}}\)

⠀

\({\longrightarrow \qquad{ \underline{ \boxed{ \frak{\pmb{Length = 24}}}}}} \: \: \bigstar\)

⠀

Therefore,

⠀

Answer:

Step-by-step explanation:

Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis

The value of (5x2−14x+24)÷(x−4)  is 5x + 6

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given ,

5x2 - 14x - 24

         x - 4    

  5x2 multiplied by 14x, then 24.

The first term is 5x2, and 5 is its coefficient.

The coefficient of the middle term, which is -14x, is -14.

"The constant," the final term, is -24.

Step 1: Multiply the first term's coefficient by the constant 5 • -24 to get a result of -120.

Find two factors of -120 whose combined value is equivalent to the middle term's coefficient, which is -14, in step two.

    -120    +    1    =   -119  

    -60    +    2    =    -58  

    -40    +    3    =    -37  

    -30    +    4    =    -26  

    -24    +    5    =    -19  

    -20    +    6    =    -14    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -20  and  6  

                   5x2 - 20x + 6x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                  5x • (x-4)

            Add up the last 2 terms, pulling out common factors :

                  6 • (x-4)

Step-5 : Add up the four terms of step 4 :

                 (5x+6)  •  (x-4)

Therefore  The value of (5x2−14x+24)÷(x−4)  is 5x + 6

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Simplified term is 5x + 6. Simplification is the process of reducing an expression/fraction/problem to a simpler form.

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement.

Mathematical expressions are made up of different numbers and operations. To simplify them, we must first understand the rule known as the order of operations. It specifies the order in which operations must be performed when simplifying a mathematical expression.

Factoring  5x2 - 14x - 24

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -14x  its coefficient is  -14 .

The last term, "the constant", is  -24

Multiply the coefficient of the first term by the constant   5 • -24 = -120

Find two factors of  -120  whose sum equals the coefficient of the middle term, which is   -14 .

-120    +   1   =   -119

-60    +   2  =   -58

-40    +   3  =   -37

-30    +   4  =   -26

-24    +   5  =   -19

-20    +   6  =  -14  

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -20  and  6

5x2 - 20x + 6x - 24

Add up the first 2 terms, pulling out like factors :

                   5x • (x-4)

Add up the last 2 terms, pulling out common factors :

                   6 • (x-4)

Add up the four terms of step 4 :

                   (5x+6)  •  (x-4)

Which is the desired factorization

Cancel out  (x-4)  which appears on both sides of the fraction line.

 5x + 6

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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Answer:

The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.

Answer: y = 5x-2

Step-by-step explanation:

Answer:

Circumference of turntable is 125.6 cm

Step-by-step explanation:

Diameter of turntable = 40 cm

We need to find circumference of turntable.

The formula used to calculate circumference is: \(Circumference=2\pi r\)

where r is radius

We know that: \(radius=\frac{diameter}{2}\)

Finding radius first:

\(radius=\frac{diameter}{2}\\radius=\frac{40}{2}\\radius = 20 \ cm\)

So, radius r=20 cm

Now finding circumference

\(Circumference=2\pi r\\Circumference=2\times3.14\times20\\Circumference=125.6 \ cm\)

So, circumference of turntable is 125.6 cm

Answer:

x = 7

Step-by-step explanation:

4(7) - 3 = 25

2(7) + 21 = 35

25+35 = 60

Trial and error.

Answer:

(12,1)

Step-by-step explanation:

Before the transformation, Point B is at (-8,1).

When it will be reflected, it will be at (8,1)

Then, it shifts 4 points to the right, and so it will be at (12,1)

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:   [1, infinity)

===========================================================

Explanation:

Let's isolate x in the first inequality mentioned.

x + 7 ≥ 4

x + 7-7 ≥ 4-7

x ≥ -3

I subtracted 7 from both sides to undo the +7.

Now isolate x in the second inequality. We first add 8 to both sides, then divide both sides by 11.

11x - 8 ≥ 3

11x - 8+8 ≥ 3+8

11x ≥ 11

11x/11 ≥ 11/11

x ≥ 1

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

The two solutions we found were

x ≥ -3 and x ≥ 1

Next, draw out a number line with closed circles at -3 and 1. Shade to the right of each closed circle endpoint as you see below.

Notice that the two inequalities overlap for x ≥ 1

In other words, if a number is -3 or larger AND 1 or larger, then the number is 1 or larger.

The two solutions intersect to form x ≥ 1

The inequality x ≥ 1 is the same as 1 ≤ x which is the same as 1 ≤ x < infinity

Then that turns into the interval notation of [1, infinity)

The square bracket includes the endpoint 1.

If needed, use the infinity symbol in place of the word "infinity".

Answer:

[1, ∞)

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities and solve them separately:

Solution of Inequality 1:

x + 7 ≥ 4

⇒ x ≥ 4 - 7

⇒ x ≥ -3

Solution of Inequality 2:

11x - 8 ≥ 3

⇒ 11x ≥ 3 + 8

⇒ 11x ≥ 11

⇒ x ≥ 1

As both graphs overlap for x ≥ 1, this is the solution.

Therefore, in interval notation:  [1, ∞)

Answer:

7000

Step-by-step explanation:

plz mark brainliest

Answer:

7,000

Step-by-step explanation:

First, round the numbers:

Next, add:

I hope this helps!

If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as \([(nPr)=\frac{n!}{(n-r)!} ]\),  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

\((31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.\)

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

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No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.

Step-by-step explanation:

The average velocity can be calculated as the division of the position change by the time change.

Find the average velocity of the object over the interval of time [2,6 ].

6 - 2 = 4 units of time (t, min,...)

s(6) = 141, s(2) = 69

141 - 69 = 72 units of distance(m, km...)

72/4 = 18 u.d./u.t.

The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer: g=1.2

Step-by-step explanation:

Answer:

I don't get what you're asking for

Step-by-step explanation:

I don't know.

The estimated mean daily methadone dosage for the patients is approximately 54.9 milligrams.

Llet's find the midpoint for each data class. The midpoint is calculated by averaging the lower and upper limits of each class interval.

Midpoint of 0 to 49: (0 + 49) / 2 = 24.5

Midpoint of 50 to 99: (50 + 99) / 2 = 74.5

Midpoint of 100 to 149: (100 + 149) / 2 = 124.5

Midpoint of 150 to 199: (150 + 199) / 2 = 174.5

Midpoint of 200 to 249: (200 + 249) / 2 = 224.5

Next, we calculate the weighted average by multiplying each midpoint by its corresponding frequency, summing up the products, and dividing by the total frequency.

Weighted average = (24.5 * 4 + 74.5 * 9 + 124.5 * 11 + 174.5 * 5 + 224.5 * 2) / (4 + 9 + 11 + 5 + 2)

Weighted average = 1702.5 / 31

Weighted average ≈ 54.9

Therefore, the estimated mean daily methadone dosage for the patients is approximately 54.9 milligrams.

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