What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.

In other words, this same deviation of data from across all data sets is built on the mean.

Mean = sum of data / Number of data

points given for the 6 games:

11,12,10,8,14 and 15

Let's say this same point in the seventh game is x, keeping the average at 12.

The average for the 7th game is.

(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12

(70 + x )/7 = 12

70 + x = 84

x = 24

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

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Answer:a

Step-by-step explanation:a is easy

Answer:

y=4x+-14

Step-by-step explanation:

i hope this helps

The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

According to the given question.

We have an expression (d-6)(2e-3)+(d-6)(e+1).

Here, we have to find the solution of the given expression.

As we know that, an action or process of solving a problem.

Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by

(d-6)(2e-3)+(d-6)(e+1)

= 2de -12e -3d + 18 + de -6e + d - 6            (by distributive rule)

= 3de -18e -2d + 12

Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

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Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Given the following data:

Tenth term (a₁₀) = 30.

Common difference = 2.

Substituting the given parameters into the formula, we have;

10 =  a₁ + (10 - 1)2

10 =  a₁ + (9)2

10 =  a₁ + 18

a₁ = 10 - 18

First term, a₁ = -8.

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Answer: 32lb 2 oz

Step-by-step explanation:

15lb.12oz.+8lb.13oz.+7lb.9oz.​=

(15+8+7)lb + (12+13+9)oz=

30lb+34oz=

30lb+32oz+2oz=32lb 2 oz

Answer:

32lb. 2oz.

Step-by-step explanation:

For ounces: 12+13+9=34

34/16= 2lb and 2oz

For pounds

15+8+7=30

For all: 30+2= 32lb

ANSWER: 32lb. 2oz.

Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

Answer: d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here's why:

64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.

So then, we make the denominator 8 and numerator 1.

The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6

given the points (4,13) and (8,1)

(x1,y1) = (4,13)

(X2, y2) = (8,1)

now we have to find slope of the line passing through these points.

[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]

[tex]slope = \frac{ - 3}{ - 5} [/tex]

slope = 0.6

Hence, the slope of the line is 0.6

we know the standard form of equation of the line.

y = mx + b

let us put the x = 4 and y = 13

y = mx + b

13 = 0.6(4) +b

13 = 2.4 + b

13 - 2.4 = b

10.6 = b

now put the m and b value into standard form of equation of the line to get the equation of the line.

y = 0.6m + 10.6

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The computation is that the width is 21.5 feet and the height is 12.5.

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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[tex]a_n = 4+ (n-1)(-7)[/tex]  is the explicit formula for the sequence | a₁ = 4

| an = an-1 - 7

We have given [tex]a_1 = 4[/tex]

If [tex]a_n = a_{n-1} - 7[/tex]

Then, [tex]a_2 = a_{(2-1)} - 7[/tex]

⇒ [tex]a_2 = a_1 - 7[/tex]

⇒ [tex]a_2 = 4 - 7[/tex]

⇒ [tex]a_2 = -3[/tex]

Now, common difference (d) = [tex]a_2 - a_1[/tex] = -3 - 4 = -7

The explicit formula for arithmetic sequence is expressed as

[tex]a_n = a+ (n-1)d[/tex]   Where a is the 1st term, [tex]a_n[/tex] is the nth term and d is the common difference.

With given information explicit formula:

[tex]a_n = 4+ (n-1)(-7)[/tex]

Without expressing the other terms of the sequence, explicit formulas are always utilized to represent any term of the sequence. The word "explicit" means something that may be found directly without having to know the other phrases in the sequence.

A single formula, known as the explicit formula, can be used to describe each term in a series in an individual way. Without knowing the prior term in the series, the explicit formula makes it simple to locate any term. The explicit formulas for various sequences are provided here:

An = a + (n - 1) d, where a is the first term and d is the common difference, an is the arithmetic sequence.

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it is given in question that Tanners parent give him x dollars per month plus 20% extra in February therefore the amount become 0.2x

What do you mean percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Tanner's parents give him x dollars per month  for his allowance.

however, since his birthday is in february

he gets an extra 20% bonus that month.

pick all the expressions that represent how much tanner's allowance is in february month

20% = 20/100

       = 2/10

        =1/5

         = 0.2

since it is given in question that Tanners parent give him x dollars per month plus 20% extra in February

therefore the amount become 0.2x

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The equation of the line is y=2x+15.

Given point (1,17) and the slope m=2

The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.

To find the equation of the line formulae is [tex](y-y_{1})=m(x-x_{1})\\[/tex]

Here, m=2 , [tex]x_{1}=1 \\[/tex] and [tex]y_{1}=17[/tex]

substituting the values we get

y-17=2(x-1)

y-17=2x-2

y=2x+15

Therefore, The equation of the line is y=2x+15.

The equation of line is an algebraic representation of a set of points in a coordinate system that form a line. The several points in the coordinate axis that form a line are represented as a set of variables x, y to build an algebraic equation known as an equation of a line. We can use the equation of any line to determine if a given point is on the line or not.

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Answer:The answer would be the third one $0.07 per minute

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

                                   4a = 60ft

divide both sides by

                                  4a = 60/4

                                    a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

                               4*a + 4(a + 2*3)

Replace a with 15 to get:

                         =  4*15 + 4(15 + 6) 60 + 4(21) 60+84

                         = 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

                       = 144*1.15

                       = $165.6

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The difference in their length is 16056

As per the question the length of alligators=1456 feet

At the same time the length of longest elegator is=17512 feet

We have to find out the difference

For difference we have to take

1756 min and 1456

As we know the formula of find the difference is by substituting so-

17512-1456

=16056

The difference= 16056 units feet

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Answer:

17/35, 18/35

Step-by-step explanation:

Find the common denominator to add those fractions together.

5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.

10/35 + 7/35 = 17/35

They ate 17/35.

35/35 - 17/35 = 18/35

18/35 remains.

To solve this problem, simply add the fractions!

To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.

A common factor of [tex]\frac{1}{5}[/tex] and  [tex]\frac{2}{7}[/tex] is 35 as 5 ×7 = 35

Multiply the numerator and denominator of 1/5 by 7: [tex]\frac{(1)(7)}{(5)(7)}= \frac{7}{35}[/tex]

Multiply the numerator and denominator of 2/7 by 5: [tex]\frac{(2)(5)}{(7)(5)} =\frac{10}{35}[/tex]

Now add [tex]\frac{7}{35} + \frac{10}{35}[/tex] = [tex]\frac{17}{35}[/tex] : They ate [tex]\frac{17}{35}[/tex] of the bag

To find what fraction of the bag remains, subtract what they ate from 1.

*1 can also be written as [tex]\frac{35}{35}[/tex]*

[tex]\frac{35}{35} -\frac{17}{35} = \frac{18}{35}[/tex]

18/35 of the bag remains

The additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

The expression is given as

9 + (-4) + (-9) + 4 + 8

As a general rule, the additive inverse of an expression represented by x is

Additive inverse = -x

This means that

Expression = x

Additive inverse = -x

The above implies that we negate the expression to get the Additive inverse

So, we have

Expression = 9 + (-4) + (-9) + 4 + 8

This means that

Additive inverse = -[9 + (-4) + (-9) + 4 + 8]

Open the brackets

So, we have

Additive inverse = (-9) + 4 + 9 + (-4) -8

Hence, the additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

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We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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Answer:

The two numbers are 8 and -2

Step-by-step explanation:

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4.

Let's represent the weight of the bag of chips as "x" (in ounces). The bag is allowed to go on the market if its weight is within 0.4 oz of 6 oz.

An absolute value inequality that models this situation is:

| x - 6 | ≤ 0.4

Now, let's solve the inequality:

1. x - 6 ≤ 0.4

  Add 6 to both sides:

  x ≤ 6.4

2. x - 6 ≥ -0.4

  Add 6 to both sides:

  x ≥ 5.6

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4. This means the weight of the bag of chips must be between 5.6 ounces and 6.4 ounces (inclusive) to be allowed on the market.

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The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

Here,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Then we have to find number of distinct values that we can draw.

What is combination?

The field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system.

Now,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Since, we know we draw p things from q with replacement then

Number of ways =  [tex]^{p+q-1} C_q[/tex]

Here number of element in the set = n

And number of element we have to draw with replacement = n

Therefore, number of distinct values that we can draw

= [tex]^{n+n-1} C_n[/tex]

= [tex]^{2n-1} C_n[/tex]

= [tex]\frac{(2n-1)!}{n!(2n -1 - n)!}[/tex]

=   [tex]\frac{((2n-1)!)}{n!(n -1)!}[/tex]

Hence, The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

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The sequence of transformations that maps triangle DEF into triangle ABC is:

A 90º rotation about point F, then a translation along the directed line segment FC.

Transformations in the graph of a function are classified as follows:

For this problem, we have that:

Thus the correct sequence is given by Sequence B.

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The value of x and y can be written as x=y=3. Therefore, the value of both x and y is equal to 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two the system of equations as follows,

y = x

2x + 3y = 15

Now, if we substitute the value of y from the first equation in the second, then we can write,

2x + 3y = 15

2x + 3x = 15

5x = 15

x = 15/5

x = 3

Therefore, the value of x and y can be written as x=y=3.

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Answer: sus

Step-by-step explanation:

Answer:

(2(y-2)+3) (2(y-2)-3)

Step-by-step explanation:

In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra.

The price that would yield maximum revenue is $260  and maximum revenue is $1,690,000

What is the revenue function?

The fact that total revenue of  the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:

R(x)=P*x

R(x)=Px

R(3000)=$400*3,000

R(3000)=$1200,000

Note for every 500 more purses, the price reduces by $20

R(3500)=$380*3,500

R(3500)=$1,330,000

R(4000)=$360*4000

R(4000)=$1,440,000

R(4500)=$340*4500

R(4500)=$1,530,000

R(5000)=$320*5000

R(5000)=$1,600,000

R(5500)=$300*5500

R(5500)=$1,650,000

R(6000)=$280*6000

R(6000)=$1680,000

R(6500)=$260*6500

R(6500)=$1,690,000

R(7000)=$240*7000

R(7000)=$1,680,000

The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses

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