A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in ascending order.

549.010, 549.101, 549.02, 549.3
101.2, 101.04, 104.21, 110.0
834, 834.19, 834.2, 834.29
392.4, 397.46, 399.53, 399.062
im too lazy

Data:

Gummy bears: G

Chocolate kisses: C

G=50 ¢ a pound

C=30 ¢ a pound

97 pound mixture:

mixture worth € 35 (3500 ¢ ):

To find how much of each type of candy is in the mixture you use the next system of equations:

1. Solve one of the variables in one of the equations:

Solve G in the first equation:

2. Use the value you find in the fisr part in the other equation:

3. Solve the variable:

- Distributive property to remove the parenthesis:

-Combine like terms:

-Substract 4850 in both sides of the equation:

-Divide into -20 both sides of the equation:

4. Use the value in part 3 to find the value of the other variable:

Answer:

7x

Step-by-step explanation:

x is something you find in 2 parts of the equation. Simply do 10-3 and add an x to the end

The angle of inclination of the line to the nearest tenth of a degree is 25.4°.

So, the correct option is Option(c).

A line's angle inclination is the angle created by the line's intersection with the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta = tan⁻¹(m), or m = tan⁻¹(m), may be calculated.

Given:

The length of the sides of the given triangle are,

Base = 9.7

Perpendicular = 4.6

So, Angle of Inclination = tan θ = Perpendicular/Base

θ = tan⁻¹(4.6/9.7)

θ ≅ 25.4°

Therefore, the angle of inclination of the line to the nearest tenth of a degree is 25.4°.

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The graph of y = - |x + 1| - 5 will be like an inverted "V" letter, such that the vertex is on the point (-1, -5).

The general absolute value function can be written as:

y = |x - a| + b

This function looks like a "V", such that the vertex of the graph is located at the point (a, b).

Particularly, if we have a negative sign before the absolute value part, like in:

y = -|x - a| + b

The "V" will open downwards.

In this case, the function is:

y = - |x + 1| - 5

In this case, the vertex will be at (-1, 5).

And we can see a negative sign before the absolute value part, so the graph opens downwards.

That is the description of the graph.

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A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and display style b, a 1, ldots, and a n are the coefficients, which are frequently real integers.

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Answer:

68 degrees

Step-by-step explanation:

15x-23= 11x+13

4x= 36

x=9

9 on both sides, so plugin 9 to put in degrees form

180-112=68

So 68 degrees is the answer for angle 3

It is to be noted that the two inaccuracies were that angle 90 was not shown to be produced at the intersection points of the bisector and that congruent segments were incorrectly indicated. See the corrected diagrams below.

Take notice of the following to better comprehend the flaws in the diagram: A perpendicular bisector cuts a line segment in half and produces a right angle at the point of intersection.

Congruent segments have an equal number of strokes. Specifically, little straight lines to demonstrate congruency.

Whenever it becomes pertinent to show that two bisected lines are equal, marks resembling an equal sign (=) must be used to cross the line on both sides of the bisector. The equals sign is vertical if the line is horizontal, and vice versa. See a sample of the same with the bisection of DF in the original image.

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Answer:

8 1/3

Step-by-step explanation:

4 1/2 + 3 5/6

First, we must convert the fraction to a common denominator.

1/2 = 3/6

4 3/6 + 3 5/6

3/6 + 5/6 = 8/6 = 1 2/6 = 1 1/3

1 1/3 + 4 + 3 = 8 1/3

The answer is 8 1/3.

Answer: 8 1/3

Step-by-step explanation:

4 1/2 + 3 5/6

So what we do is we make them have the same denominator

1/2 = 3/6

Now... 3/6 + 5/6 = 8/6

8/6 will have to be converted into a mixed number so...

that will be 1 2/6

now we add the two whole numbers 4 and 3 which is 7

7+1=8

8 + 2/6 = 8 2/6

now simplify that and you get 8 1/3

Answers:

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

Explanation:

Part 1

There are 5 teachers for every 120 students.

Think of it like this ratio

5 teachers: 120 students

Then divide both sides by 5 to turn the "5 teachers" into "1 teacher".

5 teachers: 120 students

5/5 teachers: 120/5 students

1 teacher: 24 students

There are 24 students per teacher

-------------------------

Part 2

There are 3 tutors for every 36 students

3 tutors: 36 students

3/3 tutors: 36/3 students

1 tutor: 12 students

There are 12 students per tutor

---------------------------

Part 3

The jump from 12 to 120 is "times 10"

We'll multiply 10 on both sides of the ratio we found in the previous part.

1 tutor: 12 students

10*(1 tutor) : 10*(12 students)

10 tutors : 120 students

Answer:

Look Down.

Step-by-step explanation:

The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.

rude!we dont us such words here change it please

Answer:

1.75 = x

Step-by-step explanation: I'm not sure if you meant 5x3 or 5 times 3 so I did the one that made sense

5 x 3 = 4(x+2)

First step: distribute so 5 x 3 = 4x + 8
Second step: 5 x 3 = 15   15 = 4x+8

Third step: Subtract 8 from both sides 15 - 8 = 7          7 = 4x

Fourth step: Divide by 4 on both sides 7/4 = 1.75     1.75 = x

Slope = 1

Slope of the line shown in the graph is 1.

The slope of a line indicates its steepness.

From the graph we can plot two points (2 , 2) and (4 , 4).

Equation to find slope ,

                      m = y2 - y1 / x2 - x1

By substituting values,

                       m = 4 - 2 / 4 - 2

                           = 2 / 2

                           = 1

∴ Slope ( 2 , 2) and ( 4 , 4 ) = 1.

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After applying distance formula, we have come to find that, distance from coordinate (6,-5) to coordinate (9,-1) is 5 unit.

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis intersect, is reached. To locate points, one uses the numbers on a coordinate grid.

A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another.

The formula for distance of two given points is

Distance =√((x₂ – x₁)² + (y₂ – y₁)²)

Here, (x₁, y₁) is (6,-5) and

(x₂, y₂) is (9,-1)

Substituting the given values we get

Distance = √((9 – 6)² + ((-1) – (-5))²)

               = √((3)² + (4)²)

               = √(9 + 16)

                = √(25)

                 = 5

Thus, Distance from point (6,-5) to point (9,-1) is 5 unit.

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Part A

f(0)

that means the value of f(x) for x=0

looking at the table

For x=0 ----> f(x)=4

therefore

f(0)=4

Part B

f(x)=0

looking at the table

f(x)=0 when the value of x=1

therefore

f(1)=0

Part C

f^-1(0)

For f(x)=0 -----> the value of x=1

therefore

f^-1(0)=1

Part D

f^-1(x)=0

looking at the table

For x=0 -----> f(x)=4

therefore

f^-1(4)=0

Answer:

incorrect

Step-by-step explanation:

Answer: No, he's incorrect

Step-by-step explanation:
Generally you only move the symbol to face the other side when in the case of multiplying both sides by (-1). The correct solution hence would be, x > -27

Answer: x = 139-c is used to replace and there are 87 child's ticket.

Step-by-step explanation:

Let the number of child's ticket be 'c'.

Total number of people attended the game = 169

Let the number of adult's ticket be 'x'.

Cost of each child's ticket = $3.

Cost of each adult ticket = $5.

Total amount collected = $521

So, According to question, it must be look like this :

3c+5x=$521

Here, we need to replace x , so that a single variable equation can be written and solved to determine the number of child's tickets sold.

x+c=139

x=139-c

So, our single variable equation becomes

3c+5(139-c)=$521

3c+695-5c=521

-2c=521-695

-2c=-174

Hence, x = 139-c is used to replace and there are 87 child's ticket.

This is the correct answer to this question.

C. 139 – c

In linear equation,112.8 is the solution .

What is a linear equation example?

=  157.8 - ( 3² + 6) × 3

=  157.8 - ( 9 + 6) × 3

=  157.8 - 15 × 3

=  157.8 - 45

=  112.8

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Two methods...

How can we divide easily by 5?

We know

Then

The common method

Answer:

s=/a

s=-/a,a>0

it inchs

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Of the  total 5 pounds of strawberries, each person ate  5/3 pounds. Thus,  3-5/3=4/3 pounds of Andrew's strawberries were given to Jessica and  2-5/3=1/3 pounds of Dustin's strawberries were shared. The ratio of pounds shared by Andrew to those shared by Dustin is 4/3:1/3 , or 4:1, so to be fair, the money should be split in the same ratio. Therefore, Andrew should get  $4 and Dustin should get $1 .

Thanks to my dad for the help

Answer:

4

Step-by-step explanation:

right on aops

There were 33 questions on Clytie's test and she got a grade of 85%.

The number of right answers was:

The result is approximately 28, thus:

Clytie got 28 answers right

Answer:

3815699985588888548555006

The two numbers with the sum of 5 are 0 and 5

The sum of the numbers is given as

Sum = 5

The relationship between the numbers is given as

Three times the first is thirteen more than ten times the second.

This can be rewritten as

3x = 15 + 10y

Where x and y represent the numbers

This means that

x + y = 5

Make x the subject

x = 5 - y

Substitute x = 5 - y in 3x = 15 + 10y

3(5 - y) = 15 + 10y

Expand

15 - 3y = 15 + 10y

Evaluate the like terms

13y = 0

This gives

y = 0

Substitute y = 0 in x =5 - y

x = 5 - 0

Evaluate

x = 5

Hence, the numbers are 0 and 5

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The most appropriate choice for percentage will be given by

Number of cards sold on mother's day = 600

What is percentage?

Percentage is any number which is expressed as a fraction of 100

In percentage,the denominator is 100

For example, 2% means [tex]\frac{2}{100}[/tex]

Here,

Let the number of cards sold for mother's day be x

A salesman sold 4% of the card sold for mother's day

Number of cards sold by the salesman = [tex]\frac{4}{100} \times x[/tex]

                                                                 = [tex]\frac{x}{25}[/tex]

By the problem,

                           [tex]\frac{x}{25} = 24[/tex]

                            [tex]x = 24 \times 25\\[/tex]

                            [tex]x = 600[/tex]

Number of cards sold on mother's day = 600

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The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer

Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.

Stem displays data on the left while leaf displays data to the right

The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:

2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23

3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35

4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46

4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47

5 I    ⇒ 5 on the stem as 5

5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50

6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65

8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86

Hence, stems are 0, 2, 3, 4, 5, 6, 8

Therefore, option e, is the correct answer

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The circumference of given circle with the radius of 7.6m is 119.43

A circle's circumference is its perimeter. It is the total length of the circle's circumference. The circumference of a circle is equal to the product of the constant and the circle's diameter. This metric of the circumference of a circle is required for a person walking across a circular park or a circular table to be bordered.

Circumference is a linear value with the same units as length. A circle is a closed round figure whose boundary points are all equidistant from a fixed point known as the center. The area and circumference of a circle are the two most important metrics of a circle.

The formula for the circumference of a circle is

C = 2πr

We have given that radius = 7.6m

So, the circumference is

C = 2π(7.6)

   = 38π

   = 119. 43

Thus, circumference is 119.43

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The probability is 0.4647.

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