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The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

let y and x represent amount of juice and oranges respectively;

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

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Answer:

Step-by-step explanation:

9:15 15:25 6:10

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

Answer: 32

Step-by-step explanation:

The roman numeral XXXII is 32 and XXIII is 23.

The number for this Roman numeral XXXII is, 32

Given that,

We have to write the number for this Roman numeral  XXXII.

Since, We know that,

X represent in number = 10

I represent in number = 1

Hence, The number for this Roman numeral  XXXII is,

⇒ XXXII

⇒ (10 + 10 + 10 + 1 + 1)

⇒ 32

Therefore, the number for this Roman numeral  XXXII is, 32

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Answer:

see explanation

Step-by-step explanation:

(7)

∠ RPS + ∠ QPR = ∠ QPS , substitute values

8x + 7 + 9x + 16 = 40 , that is

17x + 23 = 40 ( subtract 23 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

Answer:

90

Step-by-step explanation:

Answer:

[tex]80 \times \frac{12.5}{100} \\ = 10 [/tex]

then 80+10 =90

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

Answer: i think its A

Step-by-step explanation:

Let's say that a is 8, b is 17, and c is x,

Maximum:

a + b > c  

8 + 17 >c  

c < 25

Minimum:

b + c > a  

17 + c > 8  

c > -9

(As it cannot be negative, we will call this 9.)

So, our answer is D as c, x, must be less than 25 and greater than 9.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.

Answer:

Answer:first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

Step-by-step explanation:

it is a linear function, if the change in y is constant in relation to the changes of x.

in other words, if the slope y change/x change is the same for every point.

when we look at the table, we see x changes constantly by +2.

and y changes constantly by -6.

so, the change rate/slope is constantly -6/2 = -3.

and therefore it is a linear function.

the equation looks like (the slope is always the factor of x)

y = -3x + b

b we get by using one of the x,y pairs like 1,4

4 = -3×1 + b = -3 + b

b = 7

so, the full equation is

y = -3x + 7

Step-by-step explanation:

Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:

We must determine whether the given relation or data can be modeled by a linear equation.  It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.

Subtracting the x-coordinates provides a constant difference of 2:

If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.

We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.

If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.

Since the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3.  Hence, the constant rate of change = -3.

As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.

Therefore, the data can be modeled by a linear equation because the rate of change is constant.

In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

4 = (-3)1 + b

4 = -3 + b

Add 3 to both sides to isolate b:

4 + 3 = -3 + 3 + b

7 = b

Therefore, the linear equation that represents the given data is: y = -3x + 7.

Answer:

60

Step-by-step explanation:

I hope this helps

The diameter of the  cylinder is equal to 59.98 units.

Given the following data:

To determine the diameter of the  cylinder:

First of all, we would find the radius of the circular base of this cylinder.

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]

Radius, r = 29.99 units.

For the diameter:

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]

Diameter = 59.98 units.

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Answer:

One Solution

x = -9/2

Step-by-step explanation:

Answer:

1.2 minutes

Step-by-step explanation:

5 laps >> 360 ( 6×60)

1 lap >> x

cross multiplication

5x = 360

x = 360/5

x= 72 second

x = 72/60 = 1.2 minute

Answer:  X =  2 2/3

Step-by-step explanation:

4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.

Let X be the "number."  Translate the sentence:

(4 5/9) = ((2 1/3) + (5/6))*X

"4 5/9 is the same":  (4 5/9) =

"as the sum of 2 1/3 and 5/6":  ((2 1/3) + (5/6))

"times a number": *X

Put them all together:

(4 5/9) = ((2 1/3) + (5/6))*X

(41/9)-(7/3) = (5/6)X

(41/9)-(21/9) = (5/6)X

(20/9) = (5/6)X

X = (20/9)*(6/5)

X = 120/45

X = 2 30/45 or 2 2/3

Answer:

[tex]x=\frac{27}4=6.75[/tex]

Step-by-step explanation:

The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.

[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex]  Replacing the values and cross-multiplying we get:

[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]

Answer:

6.75

Step-by-step explanation:

the answer is 6.75

so x = 6.75

Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!

Step-by-step explanation:

Answer:

[7-3]4 or [7-3]x4 your welcome hope it helps!

Step-by-step explanation:

Answer:

$43,264

Step-by-step explanation:

theres 52 weeks in a year so you just do $832 x 52

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

Answer:

quadrilateral

and

pentagon

Answer:

1. Trapezium

2.Pentagon

(Irregular)

Answer:

100

Step-by-step explanation:

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

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Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

Answer:

you will have $133920 intrest monthly and $151920 in the bank

Step-by-step explanation:

Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.

A Group of scientists caught and tagged  porcupines=140 A week later the scientists counted the porcupines=180