find the lowest number which leaves 3 as remainder when divided by 8,12 and 16​

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

Learn more about the equations here:

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Answer:

i dont know

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

since

[tex]\sqrt{5607} =74,879903...\\\\Let\ x\ the\ searched\ number\\\\5607-x=74^2\\\\x=5607-5476\\\\\boxed{x=131}\\[/tex]

Answer:

√ 15  + √ 10

Step-by-step explanation:

The answer is above                                                                            

Answer:

cos(240) = -1/2

sin(240) = -√3/2

Answer:

1/4a

Step-by-step explanation:

1/2a +1/2a+b-b

1/4a -0

1/4a ans

To solve this question, we analyze the percentages, and doing this, we get that the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

Percentages:

63% of the shoppers will make a purchase.

Of those, 80% purchase both fruits and vegetables.

Thus, 100 - 80 = 20% purchase only one.

Percentage of shoppers who purchase only one:

20% of 63%, so:

[tex]p = 0.2*0.63 = 0.126[/tex]

0.126*100% = 12.6%.

Thus, the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

A similar example is given at https://brainly.com/question/24161830

Answer:

This can be written as y > -5.

Let me know if you have any other questions!

Answer:

We should shade 37 out of 100 boxes

Step-by-step explanation:

37%

Percent means out of 100

37/100

We should shade 37 out of 100 boxes

Answer:

12

Step-by-step explanation:

Since it's a equilateral triangal all sides are equal.

First you double 6 since that is a right angle in the triangle the other side will have the same length. 6x2=12.

Answer:

-26!!!! :))))

Step-by-step explanation:

Answer:

18.45

Step-by-step explanation:

I used a calculator

Answer:

Step-by-step explanation:

∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°

Answer:

it's actually  110, i took the test and got 170 wrong

Step-by-step explanation:

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Answer:

An angle bisector

Step-by-step explanation:

An angle bisecter

Answer:

e. DBC is a straight angle

f(x) = 1/(1 - x)

g(x) = (x - 1)/x

The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that

f( f ⁻¹(x) ) = x

g( g ⁻¹(x) ) = x

So we have

f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x

Solve for f ⁻¹(x) :

1 = (1 - f ⁻¹(x) ) x

1 - f ⁻¹(x) = 1/x

f ⁻¹(x) = 1 - 1/x

f ⁻¹(x) = (x - 1)/x

and so f ⁻¹(x) = g(x).

Similarly, you can solve for g ⁻¹(x) :

g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x

1 - 1/g ⁻¹(x) = x

1/g ⁻¹(x) = 1 - x

g ⁻¹(x) = 1/(1 - x)

So we know f(x) and g(x) are inverses of one another,

f ⁻¹(x) = g(x)

g ⁻¹(x) = f(x)

Then

(a) (f o g)(x) = x

(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)

(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x

Answer:

[tex]36 + 35 = 71[/tex]

Step-by-step explanation:

[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]

Answer:71 is correct

Step-by-step explanation:

3+5+4=12

3*3=9

5*3=15

4*3=12

9+5+12=36

36+35=71

Answer:

708

Step-by-step explanation:

We are adding 7 each time

15+7 = 22

22+7 = 29

29+7 = 36

So the common difference is 7

The first term is 15

The formula is

an = a1+d(n-1)  where n is the term number

an = 15+7(n-1)

We want to find the 100th term

a100 = 15+7(100-1)

a100 = 15+7(99)

       = 15+693

     = 708

Answer:

x= 10

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(8+x) * 8 = (9+-3+x) * 9

8(8+x) = 9(6+x)

Distribute

64+8x=9x+54

Subtract 8x from each side

64 = x+54

Subtract 54 from each side

10 =x

Answer:

(a).

[tex]0.2 = {5}^{ \frac{1}{3} } [/tex]

(b).

[tex]125 = {5}^{3} [/tex]

X = 4×3 X + 7

Resultado

X = 12 X + 7

Forma alternativa

-11 X - 7 = 0

X = -7/11

Answer:

D

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 4 = 12 parts

Mango has 5 parts and there are 35 bottles of mango , so

35 ÷ 5 = 7 ← value of 1 part of the ratio

In total there are 12 parts, then

total bottles = 12 × 7 = 84 → D

Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

Answer:

D. 1:5

Step-by-step explanation:

3 students went to the zoo

15 students went to the aquarium, which is no the zoo

students who went to the zoo : students who did not go to the zoo =

= 3:15

Now we simplify the ratio by dividing both numbers by 3.

= 1:5

Answer: D. 1:5

Answer:

45 * 3/5 = 135/5 = 27

Step-by-step explanation:

Answer:

A

because x is the horizontal axis and it is moved forward by two because of the addition of 2

Answer:

20

Step-by-step explanation:

x-2y=6 and x+y=10

Multiply the second equation by 2

2x+2y = 20

Answer:

98 degrees

Step-by-step explanation:

The angles of a quadrilateral add up to 360 degrees, therefore:

(25x+1)+(25x-2)+(20x-1)+82=360

70x +80=360

70x=280

x=4

the angle at C:

25*4-2 = 98 degrees

Answer:

2/13

Step-by-step explanation:

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