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The graph shows how many bottles a machine caps in a certain number of seconds.


Part A

What is the constant of proportionality, and what does it mean in this situation?

Use the drop-down menus to show and explain your answer.

The constant of proportionality is

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; the machine caps

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bottles in

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Note; Each 'Choose', Is either 15, 20, or 30)

Answer:

the answer is -2x-y=2

Step-by-step explanation:

Ax+By=C

y=mx+b

y=2x-2

-2x-y=2

Answer:

y=−2x−2

Step-by-step explanation:

Answer:

because any number over 0 is 0 and if   |abcd|=1 that it is not possible to be 0

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Answer:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Step-by-step explanation:

Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( -5-1)/(2- -3)

   = (-5-1)/(2+3)

  - 6/5

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Answer:

7(top left) 5(top right)

6(bottom left) 0(bottom right)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

10.

a. y=30x + 50

b. 30(2.5)+50= 125

c. y= 60x+100

d. 60(2.5)+100= 250

Answer:

10)

a) y = 50+30x

b) y=50+30(2.5)

       50+75 = 125

c) y = 2(50+30x)

d) y=2(50+30(2.5))

       2(50+75)

       2(125) = 250

13)

a) P = 2 ( L + W )

        10x+2

b) A = W L

        5x+1

c) for A its 15x+3 and for B its 54 x 2 + 18 x

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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The domain is all of the x-values a function can have. The range is all of the y-values a function can have.

#50.

Domain: [-5, 10]

---The function starts at the x-value -5 and stops at the x-value 10.

Range: [-3, 5]

---The smallest y-value is -3 and the largest y-value is 5.

#51.

Domain: [-2, infinity)

---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.

Range: [0, infinity)

---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.

Hope this helps!

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.

A number has both magnitude(its absolute value) and its sign(positive or negative).

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

In the number line we can clearly see that our possible values of a are in the range:

-1/2 ≤ a ≤ 1/2

And we need to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

Ia - 1/2I ≤ 1/2

Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

Learn more about this concept;

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Answer

around 10%

Step-by-step explanation:

Answer:

[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle -5x - 4y = -8[/tex]

Step 2: Solve for x

Answer:

4y-8/ -5

Step-by-step explanation:

The following equations could be used to find the price of a child's ticket,  3x + 2(2x) = 28, the correct option is B.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the cost of child ticket is $x

An adult ticket is twice the cost of a child's ticket.

Let the cost of adult ticket is $2x

The total amount Angela paid is $28 for two adult tickets and three children's tickets.

The equation that will be formed is

4x + 3x = 28

It can also be written as 3x + 2(2x) = 28.

To know more about Equation

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S is being divided.

What is the opposite of subtracting 5?

Move 5 to the right side.

It is being divided by 6. What is the inverse of dividing by 6.

Multiply each side by 6.

Hope this helps!! :)

Answer:

KL = 17.32

Step-by-step explanation:

KL² = (M L)(J L)

KL² = (15)(20)

KL²=300

√KL²= √300

KL = 17.32

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

7.1

Step-by-step explanation:

6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30

20 - 6 = 14

14 children have an average age of 8  14*8 =112 so the sum of their ages is 112

Add the two sums

30+112 = 142

Divide by the total number of children

142/20 =7.1

The average age of all the 20 children is 7.1

Answer: 7.1

Step-by-step explanation:

Answer:

200 children

Step-by-step explanation:

so 12% is 24 children

12/24

simplify

1/2

1% is 2 children

multiply 1% by 100 to get 100%, along with 2 for the children

200 children

The volume of the marbles is   26-20.9 = 5.1 l      and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie    .06 l/marble x 200 marbles = 12 liters

so he would only need  26-12= 14 liters of water to fill the tank !

Answer:

14 marbles

Step-by-step explanation:

Please comment this in english.

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Step-by-step explanation:

Given the following configurations, the followed may be constructed and fabricated into the following:

Point-Slope Form:

Point: (-6, -2).

Slope: 9

Y - y1 = m(x - x1)

Y + 2 = 9(x + 6)

Y + 2 = 18x + 48

Y = 18x + 46 <== Slope-Intercept Form.

-18x + y = 46 <== Standard (General) Form.

Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.

*I hope this helps.

Answer:

Given the following configurations, the followed may be constructed and fabricated into the following:

Point-Slope Form:

Point: (-6, -2).

Slope: 9

Y - y1 = m(x - x1)

Y + 2 = 9(x + 6)

Y + 2 = 18x + 48

Y = 18x + 46 <== Slope-Intercept Form.

-18x + y = 46 <== Standard (General) Form.

Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.

*I hope this helps.

Step-by-step explanation: