Michael is arranging 14 cans of food in a row on a shelf. He has 5 cans of carrots, 1 can of beets, and 8 cans of corn. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

The measure of each of the supplementary angles are: 88.6° and 91.4°.

Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.

Given the following:

Let one of the angles equal x

The second angle would be expressed as: x + 2.8

Therefore, we would have the equation:

x + 2.8 + x = 180 [supplementary angles]

2x + 2.8 = 180

2x = 180 - 2.8

2x = 177.2

x = 177.2/2

x = 88.6

Thus:

One of the angles = x = 88.6°

Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°

Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.

Learn more about supplementary angles on:

https://brainly.com/question/8992900

#SPJ1

The distance between -10 and 5 on a number line is 15

From the question, we are to determine the distance between the given points on a number line

The given points are -10 and 5

On a number line, the distance between any two points is the difference between the largest number and the smallest number

That is,

Distance between two points on a number line = Value of the largest number - Value of the smallest number

The given points are -10 and 5

The largest number is 5

and

The smallest number is -10

Thus,

Distance between -10 and 5 on a number line = 5 - -10

Distance between -10 and 5 on a number line = 5 + 10

Distance between -10 and 5 on a number line = 15

Hence, the distance between -10 and 5 on a number line is 15

Learn more on Distance between points on a number line here: https://brainly.com/question/17143316

#SPJ1

The answer and all work is shown in the provided screenshot! :)

Have a great day!

Answer:

2.2 inches

Step-by-step explanation:

because the question says divided equal parts you can simply divide 11 by 5

11inches/5eaqual parts

11/5 = 2.2

Each part is 2.2 inch in length.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total length of strip = 11 inch

Now, the strip is cuts into 5 equal parts.

So, the length of each part is

=11/5

=2.2 inch

Hence, the each part is 2.2 inch in length.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Looks like you are finding the \boxed{sum} in this question you are \boxed{\rm{adding}} .}[/tex]
[tex]\large\textsf{Now, let us solve for your given equation.}[/tex]

[tex]\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\\\large\textsf{To find the given answer to this equation, you have to START at }\mathsf{-}\textsf{10 \&}\\\large\textsf{go UP 1 space to the right \& you have reached your answers.}\\\\\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\mathsf{= -}\large\textsf{10 + 1}\\\mathsf{= -\large\textsf{9}}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

By comparing the  given integer we come to know that 671,287 is greater than 617,827.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

671,287 and  617,827

According to given question we have

If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.

The number farthest to the right is the greater number.

So,  671,287 > 617,827.

Therefore, by comparing the  given integer we come to know that 671,287 is greater than 617,827.

Learn more details about integer here:

https://brainly.com/question/15276410

#SPJ1

The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Rounding off number:

1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.

2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.

The given numbers are 493 and 917

The rounding-off number of 493 is

⇒493, The last number is 3, need to decrease and round off⇒490

The rounding-off number of 917 is

⇒917, The last numberis 7, need to increase and round off⇒920

Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ9

Answer:

1/4

Step-by-step explanation:

12 cm x 1/4 = 3 cm

also i already learned scaled copys  

Answer: The scale factor used in figure 2 is 1/4 or one fourth

Step-by-step explanation:

Hope this helps!

Answer:

x cannot equal seven, there's a mark for it in RSM menu

Step-by-step explanation:

so the answer is y = -7

The ordered pairs are;

A (2, 4)

B ( -1, 2 ) ,

C (-3, -2) ,

D (2, 0) ,

E ( 0, -4 )

F ( 5, -4 )

What is Coordinate?

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.

Now, To find ordered pairs we can count the number of intervals on horizontal and vertical lines.

Horizontal line gives the coordinate of x - axis and vertical line gives the coordinate of y - axis.

So, To find ordered pairs as;

We start at the origin ( where the axis cross).

The point A move 2 units to the right and 4 units up.

So, The ordered pair of A is;

⇒ A (2, 4)

The point B move 1 units to the left and 2 units up.

So, The ordered pair of B is;

B ( -1, 2 ) ,

The point C move 3 units to the left and 2 units down.

So, The ordered pair of C is;

C (-3, -2) ,

The point D move 2 units to the right and on x - axis.

So, The ordered pair of D is;

D (2, 0) ,

The point E on y- axis and move 4 down.

So, The ordered pair of E is;

E ( 0, -4 )

The point F move 5 units to the right and 4 units down.

So, The ordered pair of F is;

F ( 5, -4 )

Therefore, The ordered pairs are;

A = (2, 4)

B = ( -1, 2 ) ,

C = (-3, -2) ,

D = (2, 0) ,

E = ( 0, -4 )

F = ( 5, -4 )

Learn more about the ordered pair visit:

https://brainly.com/question/12160473

#SPJ1

Answer:

No

Step-by-step explanation:

The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111

If the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

Given that Rory' garden is square in shape and the length of one side of the garden is [tex]5^{2}[/tex] feet.

We are required to find the area of the garden.

Area is basically the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of square=Side*Side

Area=[tex]5^{2}[/tex]*[tex]5^{2}[/tex]

=[tex]5^{4}[/tex]

=625 [tex]feet^{2}[/tex]

Hence if the length of one side of Rory's garden is [tex]5^{2}[/tex] then the area of the garden will be equal to 625 [tex]feet^{2}[/tex].

Learn more about area at https://brainly.com/question/25965491

#SPJ9

The values of x and y are 25° and 33° respectively.

It is important to note the following;

From the information given, we have that

Angles 5x + 4 and 3x - 24 are supplementary.

This is represented as;

5x + 5 + 3x - 24 = 180

collect like terms

8x = 180 + 20

add lik terms

8x = 200

x = 200/8

x = 25°

Also,

2y and 114 are on a straight line

This is represented as;

2y + 114 = 180

collect like terms

2y = 180 - 114

2y = 66

Make 'y' the subject

y = 66/2

y = 33°

Thus, the values of x and y are 25° and 33° respectively.

Learn more about supplementary angles here:

https://brainly.com/question/2046046

#SPJ1

The value of the expression is  -8 31/35

The expression is given as:

negative 2 and 3 over 5 minus 6 and 2 over 7.

Rewrite properly as

- 2 3/5  - 6 2/7

Express as improper fraction

-13/5 - 44/7

Take the LCM

(-13 * 7 - 44 * 5)/35

Evaluate the difference of products

-311/35

Express as mixed fraction

-8 31/35

Hence, the value of the expression is  -8 31/35

Read more about fractions at:

brainly.com/question/11562149

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{x}{5} =7[/tex]

When x is the numerator of the fraction you multiply each side by the denominator in order to isolate the variable.

[tex]\frac{x}{5} =7[/tex]
[tex]\frac{5x}{5} =x[/tex]
[tex]7\times5=35[/tex]
[tex]x=35[/tex]

Hope this helps.

Answer:

x = 35

Explanation and Chcek part below

Hope this helps :)

Step-by-step explanation:

x

Fraction bar/divide ---> --- = 7

5

1. Isolate the variable since it says dividing by 5 we must do the inverse operation which is multiplying by 5 to cancel them out. We are multiplying by 5 on one side of equation so we must multiply on the other side too. When a number is next to parenthesis it means to multiply the 2 numbers.

x

(5) -- = 7 (5)

5

x = 35

Check:

35

---- = 7

5

7 = 7

True statement.

Answer:

Step-by-step explanation:

Answer: 4.631*10^5

Step-by-step explanation:

463,100=

400,000+63,100=

4*100,000+(63,100/100,000)*100,000=

4*10^5+(631/1000)*10^5=

4*10^5+0.631*10^5=

(4+0.631)*10^5=4.631*10^5

The value of exponents when 463,100 is written in scientific notation is 5.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Scientific notation is a way to represent numbers in exponents form of 10

For example 2.245 × 10³

Given that,

Number of books in library = 463,100

Multiply and divide by 10⁵

⇒ 463,100 × 10⁵/10⁵

⇒ 4.63100 × 10⁵

Hence "The value of exponents when 463,100 is written in scientific notation is 5".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

People of the US will spend 24 billons dollars on statins in the year 2008.

An equation sometimes represents the output for a given specified input.

The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.

Assuming x represents the number of years.

In the given question number of years is (2088-1998) = 10 years.

now we have to substitute these values in the sales of statins which will be

S - 1.8(10) = 6 in billions of dollars.

S - 1.8(10) = 6 billion dollars.

S - 18 = 6 billions.

S = 6 + 18 billions.

S = 24 billion dollars.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ1

13.25 represents the fee for renting a bicycle for 1 day;

13.25 × 5 + 6.5 = Total Cost

Since, helmet's fee does not depend upon days;

 13.25 represents the fee for renting a bicycle for 1 day;

For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;

To learn more about this; visit: https://brainly.com/question/10466695

#SPJ9

Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

Answer:

(0;3), (7.5;0).

Step-by-step explanation:

if the given equtaion is y=-0.4x+3, then

1) condition 'x-intercept' means y=0, then

-0.4x+3=0; ⇒ x=7.5;

2) condition 'y-intercept' means x=0, then

y=-0.4*0+3; ⇒ y=3.

3) finally,

x-intercept is x=7.5;

y-intercept is y=3.

Answer:

III

Step-by-step explanation:

It is expanded by an uneven scale factor.

Answer:

Step-by-step explanation: bnnnnnnnnnnnnnnm

Answer: 3.3 hours

Step-by-step explanation:

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

 ∠ROS = 19

Step-by-step explanation:

The angle sum theorem is applicable.

 ∠POQ + ∠QOR = ∠POR

 ∠QOR = ∠POR - ∠POQ . . . . . subtract ∠POQ

__

 ∠QOR +∠ROS = ∠QOS

 ∠ROS = ∠QOS - ∠QOR . . . . . subtract ∠QOR

 ∠ROS = ∠QOS - (∠POR - ∠POQ) . . . . . substitute for ∠QOR

 ∠ROS = ∠QOS - ∠POR + ∠POQ = 58 -61 +22

 ∠ROS = 19

Step-by-step explanation:

Pop es igual a 95 y ros es 55

The value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

For any function, say f(x) = x + a, the value of f(x+b) = (x + b) + a or (x + b + a)

Here, we are given that

f(x) = x−6x^2

and we need to find the value of (f(x + h) − f(x))/h

Firstly,

f(x + h) = (x+h) - 6(x+h)^2

Now, f(x + h) − f(x) = (x+h) - 6(x+h)^2 - (x−6x^2)

= (x+h) - 6(x+h)^2 - x + 6x^2

= x - x + h - 6(x^2 + h^2 + 2xh) + 6x^2

= h - 6x^2 - 6h^2 - 12xh + 6x^2

=  h - 6x^2  + 6x^2 - 6h^2 - 12xh

= h - 6h^2 - 12xh

= h( 1- 6h - 12x)

Thus, (f(x + h) − f(x))/h = [h( 1- 6h - 12x)] / h

= 1 - 6h - 12x

Therefore, the value of  (f(x + h) − f(x))/h is 1 - 6h - 12x.

Learn more about functions here-

https://brainly.in/question/26266500

#SPJ9

given ∛1000

∛1000 = ∛(10 × 10 × 10)

∛1000 = 10

Answer: -21

Step-by-step explanation:

Answer:

x=80 degrees

Step-by-step explanation:

Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.

[tex]180-100=80[/tex]

Answer:

Do like this:

Step-by-step explanation:

x+9=5+2x

and

2x-x=9-5

x=4

Answer:

Step-by-step explanation:

First I would begin by dividing both sides by 4

4(x+y) = 48     4/4 = 1      48/4 = 12

x + y = 12

next I'm going to assume this is needed in y = mx+b format so I will solve for y by subtracting the x:

y = -x + 12

this line has a slope of -1 and has a y-intercept at 12.