Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:9. Since Beth counted 45 turtles, how many alligators are there?

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

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Answer:

H'(8v,-6v)

Step-by-step explanation:

Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.

For our problem , the dilation factor is "v"

So, image would be (8v,-6v)

Answer:

Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.

Vertex form: y=(x−4)212+6y=(x−4)212+6.

No intercept form.

Vertex: (4,6)(4,6).

Focus: (4,9)(4,9).

Eccentricity: 11.

Directrix: y=3y=3.

Latus rectum: y=9y=9.

The length of the latus rectum: 1212.

Axis of symmetry: 

Step-by-step explanation:

from parabola calculator-eMathHelp

I hope it helps.

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

Answer:

he will pay 3.75 in tax

Step-by-step explanation:

first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75

Answer:

70 miles.

Step-by-step explanation:

In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.

Solution:

Firstly we need to find out what distance will the bird travel in 1 hour.  We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get

[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]

Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...

[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]

And we get that the bird will travel 70 miles in 5 hours.

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r＾2)

r=radius

=10/2

Answer:

2.5 miles

Step-by-step explanation:

64/8=20/x

8=20/x

*x    *x

8x=20

/8    /8

x=20/8

x=5/2 or 2.5

Answer: C) The triangles are not congruent

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

Explanation:

At first glance, they seem to be congruent. However, we simply don't have enough information to say yes or no.

Note how VT = VT by the reflexive theorem. This is the shared overlapping sides.

The tickmarks indicate WT = VU is another pair of congruent sides.

Finally, the red arcs indicate angles TWV and VUT are congruent.

We have two pairs of congruent sides and a pair of congruent angles; however, the angles are not between the congruent sides. Recall that SSA is not a valid congruence theorem. This is because SSA could lead to ambiguity.

So that's why we don't have enough info to say if they are congruent or not. That's why choice C is the best answer.

Answer:

Simple....

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

Answer:

its a. rhejhdhrhrjdhr

Answer:I dont knwo the answer

Step-by-step explanation:tell em

Answer:

C

Step-by-step explanation:

I got it right

Answer:

5/6= 0.83333333333

4/15= 0.266666666

3/5= 0.6

1 &3/4 = 1.75

1/3= 0.33333333

4/1000= 0.004

so the ones that are repeating decimals are:

5/6 , 4/15, and 1/3

Step-by-step explanation:

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

Answer:

72 lb bags

Step-by-step explanation:

18 / 0.25 = 72 bags :D

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS

9514 1404 393

Answer:

  $170

Step-by-step explanation:

If the price of a pair of Jordans is the same as the price of two shirts, the total purchase has a value equivalent to that of 3 Jordans.

  pair of Jordans = $510/3 = $170

Answer:

$170

Step-by-step explanation:

Answer:

the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

Step-by-step explanation:

The computation of the amount that he makes last week and in the year 2011 is as follows:

= Sale value of the stocks × earning percentage × number of weeks in a year

= $7,000 × 11% × 52 weeks

= $40,040

hence, the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

36 is the answer for this problem

Answer:

36

Step-by-step explanation:

it is multiplying by 6

1*6=6

6*6=36

30*6=160

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Answer:

what is the question and what is the graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

adjacent angles share a ray

they also have a common vertex

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4