A garden in the shape of a right triangle has a perimeter of 72 feet. If the

lengths of the sides of this garden are each lengthened by a factor of 8,

what would be the perimeter of the new enlarged garden?

OA) 352 ft.

OB) 488 ft

OC) 576 ft

OD 692 ft.

If mean of 11 numbers is 7 one of the numbers, 13, is deleted then the mean of remaining 10 numbers is 6.4

The mean of 7 numbers = 11

We know,

Mean = Sum of the terms / Number of terms

Substitute the values in the equation

11 = Sum of the terms / 7

The sum of the terms = 11 × 7

= 77

Number 13 is deleted

Sum of the terms = 77 - 13

= 64

Number of terms = 11 - 1

= 10

The mean = Sum of the terms / Number of terms

Substitute the values in the equation

= 64 / 10

= 6.4

Hence, the mean of the remaining 10 numbers is 6.4

Learn more about  mean here

brainly.com/question/9911317

#SPJ4

Answer:

B) S is inversely proportional to T.

Step-by-step explanation:

Since S is inversely proportional to T, then S = k/T, where k is a constant.

The solution is Option B , Option C.

The value of S is inversely proportional to the value of T or the value of S is directly proportional to 1/T

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

S = k/T   be equation (1)

The equation is of the form y = kx where k is the proportionality constant

The equation is true when it is directly proportional to the value

So , S ∝ 1 / T

where k is the proportionality constant

On simplifying the equation , we get

S = k ( 1 / T )

From the equation , we can see than S is inversely proportional to T

And ,

From the equation , we can see that S is directly proportional to ( 1 / T )

Hence , the proportion is S ∝ 1 / T and k is the proportionality constant

To learn more about proportions click :

https://brainly.com/question/7096655

#SPJ2

In 2000, cable was available in 45683700000 homes.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

In 1980, 17700000 = 25.8%\s1% = 4566600000

Then, in 2000, there were 45683700000 households (17 700 000 + 4566 600 000).

Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. Let's assume that we are interested in the proportion of employed women who are female.

To learn more about percentage refer to:

https://brainly.com/question/24877689

#SPJ1

Answer:

4

Step-by-step explanation:

(8+2-4)+(3-5)

(10-4)+(-2)

6-2

4

Hopes this helps please mark brainliest

Answer: it would be 18 candies that are left

Step-by-step explanation:  

I did the math

They do not have enough stones and the quantity that they need is of 46 stones.

The quantities in this problem are given as follows:

Then the equation to obtain the solution for x is given as follows:

x + 8361 = 16351.

x = 16351 - 8361

x = 7990 stones remaining.

The amount of stones that they have is given by:

7944.

Which is less than 7990 stones, hence the do not have enough stones and the quantity that they need is given by the subtraction of 7990 and 7944 as follows:

7990 - 7944 = 46 stones.

More can be learned about the subtraction between two amounts at https://brainly.com/question/17301989

#SPJ1

The expression  -3/10 X (-8/15) is positive

Expression

Expression in mathematics has two or more variables, terms and constants. Also, arithmetic expression contains only numbers and mathematical operators and algebraic expression

The expression has negative sign and from mathematical calculation we already know the following relation:

+ x + = +

positive multiply by positive equals Positive

- x - = +

Negative multiply by Negative equals Positive

+ x - = -

Positive multiply by Negative equal Negative

hence,   - [tex]\frac{3}{10}[/tex] x - [tex]\frac{8}{15}[/tex]

The negative sign multiply by  -3/10 X (-8/15) sign will give positive.

Therefore, the expression  -3/10 X (-8/15) is positive.

Learn more about expression here; https://brainly.com/question/723406

#SPJ1

When triangle ABC is defined by the coordinates a(2,9), b(8,4), and c, the equation for the line is 5y=6x+8 (-3,-2).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each side.

Here,

A=(2,9)

B=(8,4)

C=(-3,-2)

The slope of line AB,

m=(y2-y1)/(x2-x1)

=(4-9)/(8-2)

=-5/6

Slope of line perpendicular to AB,

m1=-1/m

=-1/(-5/6)

=6/5

This line pass through (-3,-2).

y=mx+c

-2=6/5*(-3)+c

c=-2+18/5

c=8/5

The equation of line,

y=6/5x+8/5

5y=6x+8

The equation of line is 5y=6x+8 when triangle ABC is defined by the points a(2,9), b(8,4), and c(-3,-2).

To know more about equation,

https://brainly.com/question/25927479

#SPJ4

The vehicle can travel 12 miles per gallon of gasoline.

What is the Mixed fraction ?

A mixed fraction is one that is represented by both its remainder and quotient. Consequently, a mixed fraction is created by combining a whole number and a proper fraction.

What is the Rate ?

A rate is the comparison of two comparable amounts expressed in different units. If the ratio's denominator is written as a single unit of one of these quantities, and if it is assumed that this quantity can be modified systematically (i.e., is an independent variable), then the numerator of the ratio indicates the comparable rate of change in the other (dependent) variable.

The vehicle travels 13\frac{1}{2} by using 1\frac{1}{8} gallons of gasoline.

since the units are in mixed fraction, we can simplify it to simple fraction,

distance travelled= 13\frac{1}{2} = [(13 × 2) + 1] / 2 = 27/2 miles.

gasoline used= 1\frac{1}{8} = [(1×8)+1] /8 = 9/8 gallons.

∴ Miles per gallon of gasoline = distance travelled ÷ gasoline used

                                                  = 27/2 miles ÷ 9/8 gallons

                                                  = 12 miles per gallon of gasoline.

Hence, The rate of miles per gallon of gasoline is 12 miles/gallon of gasoline.

Learn more about Mixed fraction and Rate from the link given below:

https://brainly.com/question/21610929

#SPJ4

Answer:

3 pounds:

3 ÷ [tex]\frac{1}{8}[/tex] = 24

7 pounds:

7÷[tex]\frac{1}{8}[/tex] = 56

Step-by-step explanation:

3÷[tex]\frac{1}{8}[/tex] = [tex]\frac{3}{1}[/tex] x [tex]\frac{8}{1}[/tex] = [tex]\frac{24}{1}[/tex] = 24

If it takes 1/8 of a pound to make 1 hamburger.  Then it would take 1 pound to make 8 hamburgers.  

3 x 8 = 24

7x8 = 56

Answer:

8+8-8×1

8+8-8

16-8

8 Ans.

Answer: 12cm^2

Step-by-step explanation: We use the equation 1/2(bh) to get the area. If you put the number in the equation you will get the answer 12.

Answer:

Step-by-step explanation:

You want to find the distance traveled by light in km for periods of 1–5 seconds at a speed of 299,792,458 m/s.

The speed is given in meters per second, and the table values are wanted in kilometers. There are 1000 meters in 1 km, so it can be convenient to convert the speed to km/s before doing other calculations.

  (299,792,458 m/s) / (1000 m/km) = 299,792.458 km/s

The distance is found by multiplying the speed by time:

  d = 299,792.458t

It is convenient to let a calculator do the multiplication (and rounding). The attachment shows the result of using t = {1, 2, 3, 4, 5}.

The distances are, respectively, {299792, 599585, 899377, 1199170, 1498962} km.

The signed number to represent ''A car corporation produced 940 fewer cars this month than last'' is - 940.

Learn more about signed number refer to :

https://brainly.com/question/23997310

#SPJ1

Answer:

18k +37

Step-by-step explanation:

13k + 7 + 5(k + 6)

13k + 7 + 5k + 30

13k + 5k + 7 + 30

18k +37

We calculate an expected value when the given data points have various probabilities of occurrence .

The expected value , applies best when we are performing the test or experiment  many times. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day. However, the EV does not very accurately predict one particular outcome on one specific test.

To learn more about expected value

https://brainly.com/question/13326917

#SPJ4

If one serving is 1/4 of the pizza, then the number of servings left is 10.5 servings

Total number of pizza = 3

Each pizza was cut into 8 slice.

Total number of slices = 3 × 8

= 24 slices

He ate 3 slice of pizza

Remaining slices = 24 - 3

= 21 slices

The fraction pizza that left = 21/24

If one serving of pizza is 1/4 of the pizza, that is the 1/12 of three pizza

Number serving left = The fraction pizza that left ÷  one serving of pizza

= 21/24 ÷ 1/12

= 21/24 × 12

= 10.5 servings

Hence, there will 10.5 servings left

Learn more about fraction here

brainly.com/question/10354322

#SPJ4

Answer:

12.8

Step-by-step explanation:

You can see that triangle DAF and BED are equal.

So lineAF is lineDE.

6.4*2=12.8.

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

Learn more about the coordinate visit:

https://brainly.com/question/12959377

#SPJ1

The probability that the number 6 will appear between 150 and 200 times inclusively is 0.926.

In the given question, one thousand independent rolls of a fair die will be made.

We have to compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively.

Let n=1000 are independent trails.

The probability of success is constant, p=1/6

The probability of success is not constant,

q=1-1/6 = 5/6

let X be the number of times the die shows a 6.

μ = np

μ = 1000*1/6

μ = 166.7

σ=√npq

σ=√1000*1/6*5/6

σ=√5000/36

σ=11.785

Now we used the correlation continuity for finding the probability that number 6 will appear between 150 and 200 times is

P(150≤X≤200)=P(X≤200)-P(X<150)

P(150≤X≤200)=P(Z≤(200+0.5-166.7)/11.785)-P(Z≤(150-0.5-166.7)/11.785)

P(150≤X≤200)=P(Z≤2.87)-P(Z≤-1.46)

P(150≤X≤200)=0.998-0.072

P(150≤X≤200)=0.926

To learn more about probability link is here

brainly.com/question/11234923

#SPJ4

Two different data sets that have a median of 13 are

From the question, we have the following parameter

Median =13

The median of a dataset is the number at the middle position

So, we can make use of the following dataset

9, 10, 13, 18, 20

This is so because the middle number is 13

Another possible dataset is

10, 13, 13, 18

Similarly, this is because the middle number is 13

Read more about median at

https://brainly.com/question/14532771

#SPJ1

The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.

What is AOD?

AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.

Here, given

Length and breadth = 2,3 foot

Let us consider length of side of square = x

So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x

So, volume = (2-2x)*(3-2x)*x

                v = 4x³ - 10x² + 6x

To find largest volume , [tex]\frac{dv}{dx}[/tex] = 0

                 [tex]\frac{dv}{dx}[/tex] = 12x² - 20x + 6

                12x² - 20x + 6 = 0

                x = 0.4 , 1.3

But, for 1.3 volume will be negative i.e. not possible.

So, volume = 2.2*1.2*0.4

                   = 1.056 foot³

Learn more about differentiation from given link:

https://brainly.com/question/954654

#SPJ4        

The probability that you take different colors in two"picks" is 31/45.

You could choose one red followed by one blue, one blue followed by one red, one blue followed by one black, one black followed by one blue, one black followed by one red, or one red followed by one black.

P( different colors) = P( one blue followed by one red ) +P( one red followed by one blue) + P( one blue followed by one black ) +P( one black followed by one blue) +P( one black followed by one red ) +P( one red followed by one black)

P(one blue followed by one red) = (10/20)( 6/19) = 3/19

P(one red followed by one blue) = (6/20)( 10/19) = 3/19

P(one blue followed by one black) = (10/20)( 4/19) = 2/19

P(one black followed by one blue) = (4/20)( 10/19) = 2/19

P(one red followed by one black) = (6/20)( 4/19) = 6/95

P(one black followed by one red) = (4/20)( 6/19) = 6/95

P(different colors )= 3/19 + 3/19 + 2/19 + 2/19 + 6/95 + 6/95
                                = 31/45

To solve more questions on probability check here:
https://brainly.com/question/25870256

The time that Diana spent looking at the exhibits is given as follows:

1.582 hours.

As stated in the problem, the total time that Diana spent at the museum is given as follows:

3 hours.

The total time that Diana spent at the museum was divided into two activities, presented as follows:

The times of each activity are given as follows:

Then the time that Diana spent looking at exhibits is obtained as follows:

x + 1.418 = 3

The time is obtained by the subtraction of 3 by 1.418 as follows:

x = 3 - 1.418

x = 1.582 hours.

More can be learned about the subtraction between two amounts at https://brainly.com/question/17301989

#SPJ1

The difference in b-tree and b +tree, b -tree is a self balancing tree data structure that maintains sorted data and b +tree is a modified version of b -tree.

b -tree is used to sort the data with various pieces facilities such as insertion ,deletion and search etc  whereas b +tree is a modified version of b -tree providing all the functions smoothly and quickly .

In b -tree, both internal nodes and leaf nodes are used to store records and keys whereas in b +tree keys are stored in internal nodes whereas records are storing leaf nodes

In b +tree, no duplication is allowed but in b +tree duplication may occur

A b +tree usually preferred as an access structure to a data file as as the height of the tree remains balanced and less as compared to b -tree . We can assess the data stored in b +tree sequentially as well as directly . keys are used for indexing . Faster search queries as the data is stored only on a leaf nodes.

To know more about b -trees here

https://brainly.com/question/19955589

#SPJ4

The exact value of sin(u + v), obtained using trigonometric identities is for sine and cosine is 16/65

Trigonometric identities are equations that involve trigonometric functions that are valid for all values of the input variable.

The possible value of sin(u) obtained from a similar question posted online is; sin(u) = 5/13

Both u and v are in quadrant II

The trigonometric identity of the addition formula for the sine of the sum of two angles, indicates;

sin(u + v) = sin(u)·cos(v) + sin(v)·cos(u)

sin(u) = 5/13

cos(v) = -4/5

sin(v) = √(1 - (cos(v))²)

Therefore;

sin(v) = √(1 - (-4/5)²) = 3/5

cos(u) = √(1 - (sin(v))²)

Therefore;

cos(u) = √(1 - (5/13)²) = 12/13

Therefore;

sin(u + v) = (5/13) × (-4/5) + (3/5) × (12/13) = 16/65

Learn more about trigonometric identities in mathematics here:

https://brainly.com/question/25024376

#SPJ1

The value of h ( 12 ) is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of equation A is

h ( x ) = 4x - 22   be equation (1)

Now , to find the value of h ( 12 ) , substitute the value of x = 12 in the equation , we get

h ( x ) = 4x - 22  

h ( 12 ) = 4 x 12 - 22

On simplifying the equation , we get

h ( 12 ) = 48 - 26

           = 22

Therefore , the value of h ( x ) when x = 12 is 22

Hence , The value of h ( 12 ) is 26

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

The solution for x in the inequality expression is x < -8

From the question, we have the following inequality expression that can be used in our computation:

-4x+5>37

Subtract 5 from both sides of the inequality

So, we have

-4x + 5 - 5 >37 - 5

Evaluate the like terms

This gives

-4x > 32

Divide both sides by -4

x < -8

Hence, the solution is x < -8

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

  A.  n ≥ 11

Step-by-step explanation:

You have a triangle with sides (n), (n-3), and 2(n-2). Its perimeter is at least 37 units, and you want to know the value of n.

The perimeter is the sum of the side lengths:

  P = (n) +(n -3) +2(n -2)

  P = n + n -3 +2n -4

  P = 4n -7

The perimeter is at least 37, so we have ...

  P ≥ 37

  4n -7 ≥ 37

  4n ≥ 44 . . . . . . . add 7

  n ≥ 11 . . . . . . . divide by 4

The value of n is at least 11.