Andy and his friend sam were walking along the road together. andy had a big bag of marbles. unfortunately the bottom of the bag split and all the marbles spilled out. poor andy! one third of the marbles rolled down the slope too quickly for andy to pick them up. one sixth of all the marbles disappeared into the rain-water drain. andy and sam picked up all they could but half of the marbles that remained nearby were picked up by other children who ran off with them. andy counted all the marbles he and sam had rescued. he gave one third of these to sam for helping him pick them up. andy put his remaining marbles into his pocket. there were 14 of them. how many marbles were there in andy's bag before the bottom split?

The percent of the first change is greater by 2.36%.

Time in 1st week = 28.8 sec

Time in 2nd week = 27.6 sec

Time in 3rd week = 27.1 sec

∴ Change of time from week 1 to week 2 = (28.8 - 27.6) sec

                                                                    = 1.2 sec

∴ Percent of change from week 1 to week 2 = [tex]\frac{time change}{1st week time} \times 100[/tex] %

                                                                         = [tex]\frac{1.2}{28.8} \times 100[/tex] %

                                                                         = 4.17%

∴ Change of time from week 2 to week 3 = (27.6 - 27.1) sec

                                                                     = 0.5 sec

∴ Percent of change from week 2 to week 3 = [tex]\frac{Time change}{2nd week time} \times 100[/tex] %

                                                                          = [tex]\frac{0.5}{27.6} \times 100[/tex] %

                                                                          = 1.81%

∴ The greater change was in the first week. The amount by which it was greater is = (4.17 - 1.81) %

                = 2.36%

Answer) The percent of the first change is greater by 2.36%.

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Answer:

the answer is 3a+2b+5.

I hope this will help

Answer  w a s t e f u l

Step-by-step explanation:

theres 7 words on it

868.34 cubic yards (yd³) of mulch is needed to cover 2 ft in from the edge to a depth of 3.5 inches,

It is given that a circular flower bed, 320 ft in diameter which means radius[tex]=\frac{320}{2}= 160 \ ft[/tex]

Putting r = 160 in equation (1) , we get

[tex]A=160\times160\times3.14\\A=80384 \ ft \ sqaure \ units[/tex]

We need the mulch 3.5 inches deep

[tex]80384\times3.5=281344[/tex]

On dividing the above number by 324 , we will get the required cubic yards  [tex]\frac{281344}{324} =868.34[/tex]

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Answer:

Yes, (2, -1) is a solution.

Step-by-step explanation:

Plug in 2 for x and -1 in for y and see if it is a true statement.

2x - y = 5

2(2) - (-1) = 5

4 - (-1) = 5  Subtracting a negative number is the same as adding a positive number

4 + 1 = 5

5 = 5  Since this statement is true, (2,-1) is a solution.

Answer:

00

Step-by-step explanation:

The value of x will be -45 by the multiplicative property for the given expression x/3=-15.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is x/3=-15. The value of x will be calculated as below:-

x/3=-15.

x = -15 x 3

x = -45

Therefore, the value of x will be -45 by the multiplicative property.

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An irregular 14-sided polyhedron which has two congruent bases is as shown in the attached file.

A polyhedron is a three dimensional solid shape made by joining together polygons.

For example we can consider a prism having 12-sided regular polygons as bases because then there would be 2 bases and 12 lateral sides for a total of 14 sides for the polyhedron.

Since the lateral faces are rectangles and not 12-sided polygons like the bases, the polyhedron is an irregular polyhedron.

Applying the above, we can draw an irregular 14-sided polyhedron which has two congruent bases as shown in the attached file.

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Applying the square root of the variance, the standard deviation of the distribution is of 13.964.

The standard deviation of a distribution is given by the square root of the variance of the distribution.

For this problem, the variance of the distribution is of 195, hence the standard deviation is:

s = sqrt(195) = 13.964.

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Answer:

Step-by-step explanation: 4.242

The difference of time taken by Rosa and Maya to ran the hurdles is 4.242 seconds .

The correct option is B .

Given, time taken by Rosa and Maya to ran the hurdles.

Time taken by Rosa to ran the hurdle = 58.32 seconds .

Time taken by Maya to ran the hurdle = 54.078 seconds .

Difference between the time taken:

Rosa is taking more time to cover the distance than Maya . Thus the speed of Rosa is less than the speed of Maya .

Relationship between speed, time and distance.

Distance = Speed × Time

Subtract time taken by Rosa to ran the hurdle from time taken by Maya to ran the hurdle.

= 58.32 - 54.078

= 4.242 seconds

Therefore the correct option is B .

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x = 3 , y = −4 , and z = −6

z-2xy =

Substitute the value of x,y and z in the expression.

-6-2(3)(-4)

-6-2(-12)

-6+24

18

(a) According to the question, a composer wrote [tex]10[/tex] symphonies, [tex]4[/tex] piano concerts (piano and orchestra) and [tex]35[/tex] piano sonatas (solo piano):

Here, determine how many ways are there to play first a symphony and then piano concerto.

So, the probability is [tex](10P1) (4P1) = (10)(4)= 40[/tex]

Therefore, there are [tex]40[/tex] ways to play first a symphony and then piano concerto.  

(b)The manager of a radio station decides that on each successive evening, a symphony will be played followed by a piano concerto followed by a sonata.

Here determine how many nights could be carried out before the same program would get repeated.

So, the probability would be [tex](35)(10)(4)=1440[/tex]

Therefore, [tex]1440[/tex] nights are carried out before the same program gets repeated.

Now, to calculate the years:  [tex]\frac{1440 nights}{365days} = 3.95 years[/tex]

Therefore, it would be [tex]3.95[/tex] years.

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. For example, to calculate the probability of a playing card which is 52 in numbers. And it is divided into four cards and each are in the count of 13.These four cards are heart, spades, diamond and club.

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Answer:

The answer is C. 7/4 :)

The domain of the function f(2x) is (-1, 1).

Given that a function f has domain (-2,2) and range (-3,5).

We need to determine the domain of the function f(2x).

To determine the domain of the function f(2x), we need to consider how the original domain (-2,2) is affected by the transformation of multiplying the input by 2.

When we multiply x by 2, it stretches or compresses the function horizontally.

In this case, multiplying by 2 will stretch the original domain by a factor of 1/2.

To find the new domain, we divide the original domain endpoints by 2:

New domain = (-2/2, 2/2) = (-1, 1)

Therefore, the domain of the function f(2x) is (-1, 1).

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The geometric term modeled by the given object (a telephone pole) is a line

The given object is a telephone pole

The pole of a telephone pole is often straight.

This means that the telephone pole can be modelled by a line segment

Hence, the geometric term modeled by the given object (a telephone pole) is a line

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Answer:

tu respuesta es -1

Step-by-step explanation:

15-4(n-2) =27

15-4n+8=27

15-4n+8=27

23-4n=27

-4n+23=27

-4n+23-23=27-23

-4n=27-23

-4n=4

[tex]\frac{-4}{4} \frac{4}{4}[/tex] =-1

Answer: C. 0.9

I used a caculator.

The ratios are shown equivalent as by simplification done below.

Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -

First column -

Ratio = 6:2

Dividing both the parts of ratio by 2

Ratio = 3:1

Second column -

Ratio = 9:3

Dividing both the parts of ratio by 3

Ratio = 3:1

Third column -

Ratio = 12:4

Dividing both the parts of ratio by 4

Ratio = 3:1

Fourth column -

Ratio = 15:5

Dividing both the parts of ratio by 5

Ratio = 3:1  

Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.

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We have to plot the square roots of the numbers 70, 85, 99, and 112  between 64 and 125 ( d )

First, we must evaluate the square root of given numbers.

√70 = √ ( 2 × 5 ×7 ) = 8.36

√85 = √ ( 5 × 17 ) = 9.22

√99 = √( 9 × 11 ) = 3√11 = 9.95

√112 = √( 4 × 4 × 7 ) = 4 √7  = 10.58

All these numbers ( 8.36, 9.22, 9.95 , 10.58 )  belong between, square roots of √64 and √125 which are 8 and 15. So we have to put these numbers in between the square roots of 64 and 125 on the number table.

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Answer:

3752

Step-by-step explanation:

there are 60 minutes in an hour so multiply 2.2 times 60

2.2 • 60 = 132 minutes

132 min • 36 fish = 3752

The area of the remaining rectangular plot of land is 4680m²

Area of rectangle:

Area of rectangle means the area covered by the rectangle.

The formula for area of rectangle is

A = l x b

where,

l is the length of the rectangle

b is the breadth or width of the rectangle

Given,

A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.

Here we need to find the remaining area of the rectangular plot land.

For that first, we have to find the area of each separately,

Like,

The area of the rectangular plot is,

A₁ = 40.0 x 120.0 m²

A₁ = 4800m²

Similarly, the area of the electric transformer is,

A₂ = 10.0 x 12.0 m²

A₂ = 120m²

Now the remining area is,

A = A₁ - A₂

A = 4800 - 120 m²

A = 4680m²

Therefore, the area of the remaining rectangular plot is 4680m².

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The sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

It should be noted that transformation simply means the movement of an object from a position to another position.

In this case, the sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is to shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

Therefore sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

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The value of x in the equations are:

1. x = -3/5

2. x = -1

3. x = 5

Given the equations above, to solve for x, isolate x as the variable in the equation to one side of the equation.

a. 4(5x+6) = 12

Apply the distributive property

20x + 24 = 12

20x = 12 - 24

20x = -12

x = -12/20

x = -3/5

b. -3(2x - 4) = 18

Apply the distributive property

-6x + 12 = 18

-6x + 12 - 12 = 18 - 12

-6x = 6

x = 6/-6

x = -1

c. 26 = 2(3x - 2)

Apply the distributive property

26 = 6x - 4

26 + 4 = 6x

30 = 6x

5 = x

x = 5

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Step-by-step explanation:

Do you mean width equal 5

The absolute value equation is:

|M - 430g| = 20g

And the solutions are M = 410g and M = 450g

b) No, the mass is not acceptable.

We know that the recomended mass is 0.43kg, with an accepted error of 20 grams.

Where:

0.43kg = 0.43*1000g = 430g

Then the minimum mass accepted is: 430g - 20g = 410g

The maximum mass accepted is: 430g + 20g = 450g

These are the solutions, and the absolute value equation is, if M is the mass:

|M - 430g| = 20g

b) If the ball has a mass of 423g it is in the accepted range, if now it loses 0.016kg:

0.016kg = 0.016*1000g = 16g

The new mass is:

423g - 16g = 407g

This is smaller than the minimum accepted mass, then this mass is not acceptable.

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Answer: where is the graph?

Answer:

25,000,000 = 2.5 × 10^7

The ^ is raised to the power.

Hope this helps :)

Step-by-step explanation:

2.5 × 10^7 = 25,000,000

All the numbers have been analyzed for being rational and irrational .

For -1 :

It is a rational number = R

It is an integer = I

For 2 / 3:

It is a rational number = R

For - 4.8 :

It is a rational number = R

For 7:

It is a rational number = R

It is an integer = I

It is an whole number = W

It is a natural number = N

For - 32 / 95

It is a rational number = R

For - 20 / 4 = -5:

It is a rational number = R

It is an integer = I

For 0:

It is a rational number = R

It is an integer = I

It is an whole number = W

For - 7.34:

It is a rational number = R

For 7 / 1239:

It is a irrational number = I

For √5:

It is a irrational number = I

Therefore, all the numbers have been analyzed for being rational and irrational .

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Hello,

[tex] - a + 4c = - 7 + 4 \times ( - 3) = - 7 - 12 =- 19[/tex]

Answer:

-19

Step-by-step explanation:

-7 + 4(-3)

-7 - 12= -19