An alligator hatchling grew 272.5 inches after six years this length is 10 times it’s hatchling size if you want to know it’s hatchling size should you multiply or divide 72.5 by 10 explain

The Proportionality Constant is used to compare values that are proportional.

When two variables are proportional to each other , change in one cause the change in the other .

There are two types of proportion, Direct and Indirect.

When on increasing one variable the other increases and vice versa it is called direct proportion .

When on increasing one variable the other decreases and vice versa it is called indirect proportion .

In the given question

The _____ is used to compare values that are proportional.

The Proportionality Constant is used to compare values that are proportional.

suppose

a   ∝  b

a = kb

here k is the Proportionality Constant and is used to compare the values.

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Answer:

2:10; 3:15; 4:20; etc

Step-by-step explanation:

The equivalent rations can be found by finding a common factor for 1:5. Examples include 2:10, 3:15, 4:20, etc. All of these have a common factor and thus are the equivalent ratios to 1:5.

The equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Given that,

Here the equivalent ratio could be determined by measuring the common factor.

Like 2:10 = 1:5

3:15 = 1:5

4:20 = 1:5

Therefore we can conclude that the equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

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Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.

Parallel lines have the same slope;

x -3y = 21

y = (21-x)/-3

y = 1/3x -7

Substitute the values;

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Therefore, the equation is y = 1/3x + 7

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Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

Answer:

P=6x+2

Step-by-step explanation:

P=2L+2w

P=2(2x-1)+2(x+2)

P=4x-2+2x+4                     can i get brainliest please?

P=6x+2

Answer:

The answer is d=37 in

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )

100 × tan35° = opp , that is

opp ≈ 100 × 0.7002 = 70.02

Thus height of tree = 70.02 + 5 = 75.02 ft

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Using the tangent ratio in the right triangle on the right.

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )

rope × tan40° = 25.17 ( divide both sides by tan40° )

rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft

Answer:

(-3,5)

Step-by-step explanation:

Answer:

n> -6

Step-by-step explanation:

-35n -28< 182

         +28    +28

______________

-35n < 210

n> -6

Answer:

  x^0

Step-by-step explanation:

1/x = x^-1

For x > 1, this fraction is less than 1, so will be smaller than x^0, which is 1.

x^0 is bigger

Answer:

Two students can make maximum 36 treat bags.

Number of pieces of silly Bandz in each bag [tex]=1[/tex]

Number of pieces of Double Bubble in each bag [tex]=2[/tex]

Step-by-step explanation:

Number of pieces of silly Bandz = 36

Number of pieces of Double Bubble = 72

To find greatest number of treat bags that they can make, find H.C.F. of 36 and 72

[tex]36=(2^2)(3^2)\\72=(2^3)(3^2)[/tex]

[tex]H.C.F(36,72)=36[/tex]

So,

they can make maximum 36 treat bags.

Number of pieces of silly Bandz in each bag [tex]=\frac{36}{36}=1[/tex]

Number of pieces of Double Bubble in each bag [tex]=\frac{72}{36}=2[/tex]

Answer:

The last one is the answer

Answer:

8 d)

Step-by-step explanation:

2x -10 = 3x +6 -4x +8

3x=24

x=8

Answer:

x = 8 (d)

Step-by-step explanation:

Expand

2x -  10 = 3x + 6 - 4x + 8

Collect like terms

2x - 3x + 4x = 6 + 8 + 10

3x = 24

Divide both sides by 3 to make x on its own

x = 8

9514 1404 393

Answer:

  11·11^4

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a = a^1

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . . for any 'a' not 0

__

The given expression is ...

  (11^8)/(11^3) = 11^(8-3) = 11^5

The offered choices are ...

  (11^7)/(11^7) = 11^(7-7) = 11^0 = 1

  11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression

  (11^0)/(11^5) = 11^(0-5) = 11^-5

  11^0 = 1

Answer:

c

Step-by-step explanation:

because slope formula is

y1-y2/x1-x2 and 4-3 is 1 and -7- -14 which turns into -7 + +14 equals 7 so 1/7

Answer:

1) 15x+10=130 (corresponding angles)

15x=120

x=120/15

x=8

2) 60+128+x=180 (angle to straight line)

188+x=180

x=180-188

x=-8

3) 12x+8=13x+2

12x-13x=2-8

-x=-6

x=6

4) 115+16x+1=180 (co interior angles)

116+16x=180

16x=180-116

16x=64

x=64/16

x=4

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

Answer: In 8 days it will decrease by 16 inches and  in 15 days the water depth changes by 30 inches.

Step-by-step explanation:

The water depth decreases at a rate of 2 inches per day so in this case if were to write it as an expression it will be -2x  where x is the number of days.

We will have to set it equal the total amount that it has decreased which will be y.

y= -2x    If x  represent the number of days we will put in the days and solve for y.

y = -2(8)

y = -16     This means that in 8 days it will decrease by 16 inches.

y = -2(15)

y= -30   This also means that in 15 days the water depth changes by 30 inches.

Answer:

[tex]\frac{-1}{6}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{12} + \frac{3}{12} = -\frac{2}{12}[/tex]

[tex]-\frac{2}{12} = -\frac{1}{6}[/tex]

which can also be written as:

[tex]\frac{-1}{6}[/tex]

Answer:

the 4 main types of bias in research – sampling bias, nonresponse bias, response bias, and question order bias – that are most likely to find their way into your surveys and tamper with your research results

Step-by-step explanation:

.-.

plz mark as brainliest

Answer:

-1 3/4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Because 5 + 5 is 10, so 1/2 of 10 + 1/2 of 10 = 10

Answer:

$63.00

Step-by-step explanation:

Since you have sales tax, you would do a 10% sales tax for 15 dollar

10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.

Answer:

7.9

Step-by-step explanation:

When a number (or multiple numbers) is placed between two lines like this | |, that is the absolute value grouping symbol. Absolute value is the distance between the grouped number(s) and another defined number. In this case there are no other given numbers so 0 is assumed.

Now, say a friend is driving to your house and you call them to ask how far away they are from arriving (in distance), and they say "Around negative 5 miles away." That doesn't make sense! Distance can never be negative, and because absolute value is the distance between a number and another, a number within that grouping symbol can never be negative if there is a solution. Therefore, |-7.9| would be 7.9, because -7.9 is that exact amount away from 0.

Answer:

It's A

Step-by-step explanation: