Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

Given,  [tex]x[/tex] represent the number of male birds and  [tex]y[/tex] represent the number of female birds.

The flock needs to have exactly three times more females than males to thrive.  

So, in equation form we have,

[tex]y=3x[/tex]........(1)

Since, The zoo only has room for a maximum of 20 male birds.

So, we can write the inequality for [tex]x[/tex] as,

[tex]0< x\leq 20[/tex]......(2)

Since The maximum number of male birds is 20, so for [tex]x=20[/tex]

y will be,

[tex]y=3\times 20\\[/tex]

[tex]y=60[/tex]

Hence, The maximum number of female birds is 60.

So, we can write the inequality for [tex]y[/tex] as,

[tex]0< y\leq 60[/tex]

Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

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Answer:d

Step-by-step explanation: did the test

Answer:

24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

Step-by-step explanation:

Answer:

7. Consecutive Interior Angles that are Supplementary

8. Alternate Exterior Angles that are Congruent

9. Alternate Exterior Angles that are Congruent

10. Alternate Exterior Angles that are Congruent

11. Same Side Exterior Angles that are Supplementary

12. Consecutive Interior Angles that are Supplementary

Step-by-step explanation:

Not sure if I even got them in the correct order, my apologies. The picture provided was a bit hard to read.

Correct me if I am incorrect.

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

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Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.

Step-by-step explanation: Happy to help :D

$23, a $20 bill plus $3 tip

First find the areas of the two separate rectangles where:

Area of rectangle = length x width

Area of the small rectangle = x(x–4)

Area of small rectangle = [tex]x^{2} -4x[/tex]

Area of big rectangle = (x–2)(2x+x)

Area of big rectangle = (x–2)(3x)

Area of big rectangle = [tex]3x^{2} -6x[/tex]

The total area of the compound shape is 36, therefore:

[tex]3x^{2} -6x +x^{2} -4x=36[/tex]

[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)

By dividing this by 2, you get:

[tex]2(2x^{2} -5x-18)=0[/tex]

[tex]2x^{2} -5x-18=0[/tex]

To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.

[tex]2x^{2} -5x-18=0[/tex]

[tex](2x-9)(x+2)=0[/tex]

[tex]x=\frac{9}{2}[/tex]

[tex]x=-2[/tex]

However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.

Hope this helps :)

The data plan that has the cheapest deal is given by the ratio of the data

plan price to the GB allocated.

The given phone data plans are;

[tex]\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right][/tex]

The price per GB are;

Plan a = $30 ÷ 1 = $30 per GB

Plan b = $35 ÷ 6 = $5.8[tex]\overline 3[/tex] per GB and $40÷ 6 = $6.[tex]\overline 6[/tex] per GB for Family Plan

Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB

Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0;  $70 for Unlimited Data = 0

Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.

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Answer:

A lot

Step-by-step explanation:

Does this girl not have a credit card

The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Number of dimes = d

And number of nickels = n.

Total number of coins = 10.

Also, the value of coins = $0.70.

According to given conditions,

Since, Total number of coins is 10,

The equation can be written as,

d + n = 10

Total value of coins are = 0.70

0.1d + 0.05n = 0.70

1/10 d / 5n / 100 = 0.70

10 d + 50 n = 70

d + 5 n = 7

The required pair of equations are  d + n = 10 and d + 5 n = 7.

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Answer:

c. $28.84

Step-by-step explanation:

C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84

Answer: no

Step-by-step explanation:

first, we have to simplify when finding if they are equivalent or not.

1:4 = 0.25

12:3 = 4:1

Answer:

Yes (if your doing fractions)

Step-by-step explanation:

If you didn’t know how to simplify you could see the greatest possible multiple that 3 and 12 share. So 3 is the greatest possible multiple because 3x4=12. So you do the denominator and numerator to divide 3 and eventually you will get 1/4. (Sorry if I’m not accurate)

Answer:a

Step-by-step explanation:

answer. X=50

as..

draw a imaginary line between M

let it one side be y and z

y+z=120

now,

y=70(being alternate angle)

y+z =120

so

z=120-70

z=50

as we know,

z is alternate to X

so ,X=50

Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

Answer:

4200

Step-by-step explanation:

Answer: 4,200 meters

Step-by-step explanation:

[tex]\frac{28}{100} * 15 = 4.2 km = 4200 m[/tex]

Answer:

0.65

Step-by-step explanation:

the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest

Answer:

1,3

Step-by-step explanation:

If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?

4-3=1

2+1=3

(1,3)

Answer: (-1,5)

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

6x + 3 = 27

6x + 3 = -27

6x = 24

6x = -30

x = 4

x = -5

So:

x = 4, -5

Answer: 8

Step-by-step explanation:

PEMDAS

division first

6 + 2

8

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

6/3 = 2

6+2 = 8

HAVE A NICE DAY

Answer:

[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]

[tex]\displaystyle V_C = 27x^3[/tex]

Step 2: Find Combined Volume

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

[tex](x,y) \to (-x,y)[/tex]

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

[tex]H'A'M' = (-x,y)[/tex]

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)

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Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

Answer:

0.13 cm per second

Step-by-step explanation:

Lets convert the minutes to seconds:

3/4 minutes = 3/4(60) = 45 seconds

The snail traveled 5.85 cm in 45 seconds

To find out the speed per second, we set up a proportion:

[tex]\frac{5.85}{45} = \frac{x}{1}[/tex]      where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time

Let's solve for x, or the distance in 1 second:

[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]

The snail travels 0.13 cm per second.

-Chetan K

Answer:

  112

Step-by-step explanation:

It appears that the relation is f(a, b) = a(a+b).

  f(3, 4) = 3(3+4) = 21

  f(2, 5) = 2(2+5) = 14

  f(7, 7) = 7(7+7) = 98

  f(8, 6) = 8(8+6) = 112

__

The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...

  f(a, b) = a(a+b)

the symbol "+" has its usual meaning.

_____

Additional comment

This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.

Answer:91.6

Step-by-step explanation:

The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.

In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.

sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.

We know that tan Ф = perpendicular / Base

tan 73° = h / 28

tan 73° × 28 = h

3.27 × 28 =h

h = 91.5 ft

Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

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