Which expression is equivalent to
ON
?
o
CUP)

Answer:

  5 17/18

Step-by-step explanation:

Your calculator can help with this.

__

The integer parts of the mixed numbers can be dealt with separately. The fractional parts are added and subtracted using a common denominator. Here, that denominator is the least common multiple (LCM) of 2, 3, and 9, so is 18.

  ((7 2/3) -(4 8/9)) +((5 2/3)) -(2 1/2))

  = (7 2/3) +(5 2/3) -((4 8/9) +(2 1/2))

  = 12 4/3 -(6 +8/9 +1/2)

  = 13 6/18 -(6 +16/18 +9/18)

  = 13 6/18 -(6 +25/18) = 13 6/18 -(7 7/18)

  = (13 -7) +(6/18 -7/18)

  = 6 -1/18

  = 5 17/18

__

Additional comment

Doing the math in the manner shown above means you can mostly do it without a calculator. If you like, you can convert all of the numbers to improper fractions, then add those. This often requires a calculator.

  = (138/18 -88/18) +(102/18 -45/18)

  = 50/18 +57/18

  = 107/18 = 5 17/18

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

To learn more about Distance refer to  :

https://brainly.com/question/14886925

#SPJ1

Answer:

i think its 63

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

For more questions like Positive integers  click the link below:

https://brainly.com/question/29770528

#SPJ4

Answer:

pls provide with a graph

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

Answer: -2/3

Step-by-step explanation:

Answer:

45 degrees.

Step-by-step explanation:

The first angle is 90. 180-90 is 90. 90/2 is 45.

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

To know more about Polynomial visit:

brainly.com/question/11536910

#SPJ1

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

Read more on end behaviour of functions;

brainly.com/question/1365136

#SPJ1

Answer: The answer is 600 years

Step-by-step explanation:

Answer:

58.6 miles / hour

Step-by-step explanation:

The formula is

d= rt  where d is the distance, r is the rate ( speed) and t is the time

205 miles = r * 3.5 hours

Divide each side by 3.5

205 miles/ 3.5 hours = r

58.57142857 miles / hour = r

To the nearest tenth

58.6 miles / hour

Answer:

58.6

Step-by-step explanation:

So the truck traveled 205 miles in 3.5 hours.

As given, the distance is the product of the rate and the time. In other words:

\(d\text{ mi}=r\cdot t\text{ hours}\)

Substitute 205 for d and 3.5 for t. Thus:

\(205\text{ mi} =r\cdot (3.5)\text{hours}\)

Divide both sides by 3.5 hours. Thus:

\(r=\frac{205\text{ mi}}{3.5\text{ hours}}\)

Divide 205 and 3.5:

\(r\approx58.6\text{ mi/hr}\)

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

Answer:

the answer is B (graph a and c)

just did the test on edg 21

Step-by-step explanation:

i hope this helps!! have an amazing day <3

If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Another example y = 3x² ⇒ x = √(y/3) will be the inverse.

An inverse function is a reflection of graph across y = x and due to that coordinate will interchange its that ;

( x ,y ) → ( y , x )

Since graph A is rotated about the x-axis to make graph B

Now,

Graph A is rotated( which is B ) and reflected across the axis y = x to form Graph C.

So B and C will be the inverse of each other.

Hence "If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse".

For more information about the inverse of a function,

brainly.com/question/2541698

#SPJ2

The given question is incomplete complete question is ;

Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, and 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis y = x  to form Graph C.

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)

Let the no. of students be x

total cost = y

Then the first equation will be

8x + 20 = y

And the second equation will be

3x + 40 = y

A system of two equations where each equation models the total cost y to take x students on each field trip is;

8x + 20 = y

3x + 40 = y

The total cost y is 48 to take x = 4 students on each field trip.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.

A science teacher is planning a field trip to either the aquarium or the science center.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

The science center charges $3 per student and has a class lab fee of $40.

Let the total cost y to take x students on each field trip.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

8x + 20 = y

The science center charges $3 per student and has a class lab fee of $40.

3x + 40 = y

On solving both the equation

Substitute the value of y in the equation 2

3x + 40 = y

3x + 40 = 8x+20

8x - 3x = 40-20

5x = 20

x = 20/5

x = 4

Substitute the value of x in the equation 1

3x + 40 = y

2(4) + 40 =y

8 + 40 = y

y = 48

Hence, the total cost y is 48 to take x = 4 students on each field trip.

Learn more about the system of the equation here;

https://brainly.com/question/8119922

#SPJ2

Answer:

m = -25

Step-by-step explanation:

5 = 6m + 10 / m - 3

5( m - 3 ) = (6m + 10 / m - 3)(m - 3)

5m - 15 = 6m + 10

-15 = m + 10

-25 = m

Hopefully this helps!

Brainliest please?

Answer:

1/4 of 0.25

Step-by-step explanation:

2/4 x 2/4 = 1/4

Answer:

average=9 hours

Step-by-step explanation:

10hours on Friday

12 hours on Saturday

300 mins to hours= 300÷60=5

5 hours on Sunday

average=10+12+5

average=27

average=27÷3

average=9 hours

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

To learn more about GP visit:

https://brainly.com/question/29323941

#SPJ1

Answer:

15-20 minutes - 1 mile or 100:1

Step-by-step explanation:

so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:

p = 2/5 = 0.4 = 40%.

0.4 = 40% probability that a student passed the test given that they did not complete the homework.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

Read more on perimeter of a shape;

https://brainly.com/question/303508

#SPJ1

We are asked to determine the percentage of people that did not complete the race. To do that we need to find the quotient of the people that did not complete the race and the total number of people multiplied by 100.

The number of people that did not complete the race is the sum of the people that gave up and the number of people that were disqualified, like this:

Now, we solve the operations:

Therefore, 10% of the people did not complete the race.

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

To know more about Probability click the link given below.

https://brainly.com/question/11441437

Step-by-step explanation:

hope this helps