331 students went on a field trip. Six
buses were filled and 7 students
traveled in cars. How many students
were in each bus?

The Segment Addition Postulate states if three points J, K, and L are collinear and J is between K and L, then KJ + JL = KL.

The segment addition postulate states that if a line segment has two endpoints, say, A and C, then a third point B will lie somewhere on the line segment AC if and only if the following equation is satisfied-

AB + BC = AC

The segment addition postulate is applicable only to a line segment, and does not apply to a ray or a line. A line segment differs from a ray or a line as it is bounded by two defined endpoints.

Here, if three points J, K, and L are collinear and J is between K and L, then as per Segment Addition Postulate-

KJ + JL = KL

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Answer:

Solve for x:

x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)

Evaluate: x= 2

Step-by-step explanation:

The transformation that will move vertex B (-2,3) to (-2,5) is transforming the point B up 2 units into y axis.

Translation in geometry means moving a figure on x-y coordinate without changing it's size and shape.We can translate a triangle with given vertices by adding or subtracting values for points(x,y)

The triangle ABC has vertices  A(-1,1), B(-2,3) and C(-1,-4).

Now to transform vertex B to(-2,5) from (-2,3) we have to make a transformation of 0 units on x axis and 2 units up on y axis which is translation.

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The correct question is Triangle ABC has vertices A(-1,1), B(-2,3) and

C(-1,-4). Which composition of transformations will move vertex B to the Point(-2,5)?

Answer:

true;the expression s are the same for all values of the variables

Answer: 1024 inches

Step-by-step explanation:

New Murals,

Length= 245+33 =278 inches

Width = 234 inches

Perimeter= 2*(278+234) = 1024 inches

Answer:

1. 2.4*10^-11

2. 5.6*10^12

3. 1.5*10^-13

4. 2.1*10^-1

Step-by-step explanation:

1) (6 x 10^-8) x (4 x 10^-4)=

6*4*10^-8 *10^-4=

24*10^(-8-4)=

24*10^-12=

2.4*10^1 *10^-12=2.4*10^-11

2) (7 x 10^6) x (8 x 10^5)=

7*8*10^6 *10^5=

56*10^11=

5.6*10^1 *10^11=5.6*10^12

3) 0.000 000 000 05 x 0.003=

5*10^-11 *3*10^-3=

5*3*10^-11 *10^-3=

15*10^-14=1.5*10^-13

4) (3 x 10^-8) x (7 x 10^6)=

3*7*10^-8 *10^6=

21*10^(-8+6)=

21*10^-2=2.1*10^-1

1.5 doller = 100* $ 1.5  = 150 peniess

After 50 minutes = 20 gallons of water

Solution :

Pennies :

The dollar is the United States' 100-cent coin. It takes 100 pennies to equal a dollar

1. Girl deposit 5 pennies for each day

which means after 10 days = 50 pennies

Her sister gave her 3 pennies = 53 pennies total she has

To make the $1.50  into her piggy beg

She needs how many pinnies to do so.

1 doller = 100 pennies

1.5 doller = 100* $ 1.5  = 150 peniess

2.

Gallons :

A gallon of water by definition is 128 fluid ounces in the United States. Water bottles can vary in size, but the total number of bottles making up 128 ounces can fit in a gallon. For example, if the water bottle is 16 ounces in size, then 8 of these make up a gallon.

pool capacity = 1500 gallons of water

then

every 5 minutes = 2 gallons of water

then,

after 50 minutes = 2*10 gallons of water

= 20 gallons of water

After 50 minutes = 20 gallons of water

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Considering the given area of the square, it is found that it's side length is an irrational number.

This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.

The area of an square of side length s is given by s squared, as follows:

A = s².

In this problem, the area is of 89 cm², hence:

s² = 89.

s = sqrt(89).

The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.

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Distance between two cars travelling in opposite directions with the equation 6x - 8 = 4x where x is the distance in miles is equal to 4 miles.

As given in the question,

Two cars travelling in opposite directions

x represents the distance in miles

Equation :

6x - 8 = 4x

⇒ 6x - 4x = 8

⇒ 2x = 8

⇒ x  = 4miles

Therefore, the distance between two cars travelling in opposite directions with the equation 6x - 8 = 4x where x is the distance in miles is equal to

4miles.

The complete question is:

The equation 6x - 8 = 4x represents two cars traveling in opposite directions, where x represents the distance in miles between the cars. what is the distance, in miles, between the cars?

A.  x = 0.8miles    B. x = 4miles      C. x = 8miles      D. x = 16miles

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The pedestrian route that runs diagonally across the​ park will be [tex]6\sqrt{10}[/tex] miles long.

Here, we are given that a rectangular park is 18 miles long and 6 miles wide.

As we know that the angles formed by any two adjacent sides of a rectangle are all 90°, the diagonal divides the rectangle into 2 right angled triangles.

One side of the right angled triangle will be 18 miles and another side will be 6 miles.

According to the Pythagoras theorem,

[tex]hypotenuse^{2} = base^{2} + height^{2}[/tex]

Here, the diagonal will be the hypotenuse as it is the side opposite the right angle.

Hence we get the following equation-

[tex]hypotenuse^{2} = 18^{2} + 6^{2}[/tex]

[tex]hypotenuse^{2}[/tex] = 324 + 36

[tex]hypotenuse^{2}[/tex] = 360

Hypotenuse = [tex]\sqrt{360}[/tex]

Hypotenuse = [tex]6\sqrt{10}[/tex]

Thus, the pedestrian route that runs diagonally across the​ park will be [tex]6\sqrt{10}[/tex] miles long.

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Answer:

C

Step-by-step explanation:

machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.

To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

Information about the problem:

Calculating the velocity we have:

v = x/t

v= 5 miles/45 min

v = 0.111 miles/ min

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 36 miles/0.111 miles/ min

t = 324 min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The cost of the one canoe is $25.

According to the statement

We have to find that the cost of the one canoe.

So, For this purpose, we know that the

The cost function will be accustomed find the common cost, which is that the average amount of cash it costs to provide a unit.

From the given information:

The girls group rented 2 canoes and three inner tubes for a complete cost of $80. The boys group rented 1 canoe and seven inner tubes for a complete cost of $95.

Then

Let c is that the cost of renting a canoe and t is that the cost of renting inner tubes.

For the ladies,

2c + 3t = 80

For the boys,

c + 7t = 95

Solving the system of equations, multiply the second equation by 2 and subtract them.

2c + 3t  = 80

2c + 14t = 190

11t = 110  

t = 10

Now,

Substitute t to either equations,

c = 95 - 7t

c = 95 - 7(10)

c = 25

So, The cost of the one canoe is $25.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?

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Answer: 30, 60, 90 triangle ==> Option 3

Step-by-step explanation:

Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].

sin A=6/12=1/2

sin A=30 degrees.

sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]

sin B=60 degrees.

Hence, triangle is 30, 60, 90 triangle ==> Option 3

The option a. 13,000,090,416 is correct standard form.

Firstly, separating the numbers and finding the number of zeroes each unit will have. As per the known fact, the number in billion contains nine zeroes. The number ninety thousand will contain four zeroes. The number four hundred will contain two zeroes.

In the given options, every 13 is succeed by nine zeroes. So, checking the number of values after digit nine. Option a has four digits, option b has seven digits, option c has 5 digits and option d has three digits. So, option a will be correct. The number 416 will be at end, and it correct in each option.

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Answer:

p(-x)(3)-T(10x+2)(3)

P(-3x)-T(30x+6)

Answer:

27 units

Step-by-step explanation:

First lets add the 2 segments on the top.

8x-11 + 14x-15

Then we can add the like terms together to get

22x-26

The equation above is equal to the equation below the number line, since we added the two on top together, so:

22x-26=19x-17

Now we can start solving

Add 26 to both sides and subtract 19 from both sides

3x=9

Now we can divide by 3

x=3

TU is 14x-15, so we can substitute in 3 for x

14*3-15

42-15

27

Answer:

27 units

Step-by-step explanation:

Set up an equation:

8x -11 + 14x -15 = 19x - 17

Combine like terms:

22x - 26 = 19x -17

Subtract 19x on both sides:

(22x - 26) - 19x = (19x - 17) - 19x

3x - 26 = -17

Add 26 on both sides to isolate the x term:

(3x - 26) + 26 = (-17) + 26

3x = 9

Then, divide by 3 on both sides to fully isolate x:

3x / 3 = 9 / 3

x = 3

Plug 3 for x into the formula for TU:

14(3) - 15 = x

42 - 15 = x

x = 27

TU = 27 units

Hope this helps!

Answer:

or, 147-4x=180

or, 4x=180-147

or, 4x=33

or, x=33÷4

×=8.25

From the graph, the average rate of change of the function is negative, which means that the number of farmland is decaying.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

This problem is incomplete, and the options were not found on a search engine, but from the graph, what we can see is that the graph is decaying, that is, for any interval [a,b], f(a) > f(b), hence the average rate of change of the function is negative.

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Answer:

Hi the proof steps shown in the picture are correct.

Other answers are possible.

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

Explanation:

Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.

Due to the symmetry of that list, the mean = median = 10

The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.

To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.

Therefore, the set  {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.

There are infinitely many other possible answers. The data set does not have to be symmetric like this.

Step-by-step explanation:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

i don't know if thats what you were asking for but yea

0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.

A rational number is a number that can be expressed in the form of p / q where q is not equal to 0.

It can be terminating or non terminating but repeating number.

We are given a decimal number:

0.528176817681768176

We can see that, after .52, the digits 8176 keeps on repeating itself.

So, the number can also be written as:

0.528176 ( bar on 8176)

This means that the decimal number that is given is a non terminating but repeating rational number.

Therefore, 0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.

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Answer:

Step-by-step explanation:

First we Need to write the Equation as It is

K + 12 = 8

Then we keep the Variable which is K in the right of the equal to and move the rest to the left.

K = 8 - 12 ( Note that when moving a number to the other side, the sign will

                  change)

Then Do 8 - 12 or -12 + 8

The answer will come

K = -4

Hope you Are clear

Answer: 6

Step-by-step explanation: Each person can get first or second place prize.

First chance :3 people x 1st chance =3 chances

Second chance: 3 people x 2nd chance =3 chances

3+3=6 chances

A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Answer:

.7456

Step-by-step explanation:

The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75

Using relations in a right triangle, we have that:

1 - a) x = 54.28º.

1 - b) y = 57.794º.

1 - c) z = 31.056º.

2) The angle is of 62.8º.

3) The angle is of x = 53.017º.

4) The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.

5) The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.

The relations in a right triangle are given as follows:

For item 1a, we have that the sides, hence:

tan x = 8.9/6.4

x = arctan(8.9/6.4)

x = 54.28º.

For item 1b, we have the adjacent side and the hypotenuse, hence:

cos y = 9.7/18.2

y = cos^-1 (9.7/18.2)

y = 57.794º.

For item 1c, we have the opposite side and the hypotenuse, hence:

sin z = 6.5/12.6

z = sin^-1(6.5/12.6)

z = 31.056º.

For item 2, we have the sides, given at the graph at the end of the answer, hence:

tan x = 7.2/3.7

x = tan^-1(7.2/3.7)

x = 62.8º.

The angle is of 62.8º.

For item 3, first we find the hypotenuse of the bottom triangle, by the Pythagorean Theorem, as follows:

h² = 7.9² + 18.6²

h = sqrt(7.9² + 18.6²)

h = 20.21.

Then:

sin x = 20.21/25.3

x = sin^-1(20.21/25.3)

x = 53.017º.

For item 4, we have the adjacent side and the hypotenuse, hence:

cos(x) = 3/3.2

x = cos^-1 (3/3.2)

x = 20.364º.

The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.

For item 5, we have the opposite side and the hypotenuse, hence:

sin y = 1.8/2.9

y = sin^-1 (1.8/2.9)

y = 38.37º.

The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.

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Answer: x = 88 degrees

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

So

48 + x + (x - 44) = 180

48 + 2x - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Angle B = 88 degrees

Angle C = 44 degrees

Answer:

Step-by-step explanation:

To compare fractions you need to bring them to the same format.

1) Convert 3/5 to decimal:

Compare:

2) Convert 0.85 to fraction:

Bring 3/5 to the same denominator:

Compare: