Solve each proportion.
5/n=6/12

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer: 36

Step-by-step explanation:

K(x) = 2x^2 - 5x + 3

K(-3) = 2(-3)^2 - 5(-3) + 3

K(-3) = 2*9 + 15 + 3

K(-3) = 18+15+3

K(-3) = 36

Answer:

1225

350/2=175

175 x 7 = 1225

All the peoples in a group walk 240 miles.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 4 groups of 20 peoples.

And, Each person walk 3 miles.

Now,

Since, There are 4 groups of 20 peoples.

So, Total number of peoples in 4 groups = 4 x 20

                                                               = 80

And,  Each person walk 3 miles.

So, The distance cover by 80 peoples = 80 x 3

                                                           = 240 miles.

Thus, All the peoples in a group walk 240 miles.

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Combined Area Expression:

(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)

= 4(16 + x)(8 + x)

Area:

4(16 + 5)(8 + 5) = 4 * 21 * 13

= 1092 m^2

Answer: a

Step-by-step explanation:

Answer:

since they are in groups of 10, there could be 10,20,30,40,50,60....

I hope it helps.

The total number of pumpkin plants could be 10y where, y is number of rows.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here it is given that :

Each row of garden has 10 plants

Let the number of rows of pumpkin plants be = y

Then the total number of pumpkin plants will  be the multiplication of y and 10 that is : 10y

Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.

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Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

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Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

Answer:

not sure what that a) means but...

P = 300/8 = 150/4 = 75/2

Answer:

Answer: 19

Step-by-step Explanation:

P=x

x= 3 -(-8)(2)

x = 3 --16

(A negative plus a negative equal a

positive)

x= 19

Answer:

the surface area is 180 if u use multiplication

Step-by-step explanation:

the surface is 0.8 if you use devide

the surface is 3 if u use subtract

and the surface is 27 if you use addition

correct me if I'm wrong :)

mhorn seems to be correct

Step-by-step explanation:

yshahaa

Answer:

27

Step-by-step explanation:

Note : -

That square like symbol at the intersection of two lines is 90°.

( 4x - 18 )° and 90° are corresponding angles.

Corresponding angles are equal since lines

a & b are parallel.

4x - 18 = 90

4x = 90 + 18

4x = 108

x = 108 / 4

x = 27

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation:

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

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Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Answer:

The dimensions can be 6 inches by 10 inches

Answers:

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

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.

Answer:

c=2a

Step-by-step explanation:

c=2a

Answer:

its b i took the test

Step-by-step explanation:

its b

Answer:

22

Step-by-step explanation:

When y is 13 ,

9 + y

9 + 13 = 22

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

Answer:

-44x - 105

Step-by-step explanation:

1) Add the numbers

3 1 − 1 0 5 − 6 5 − 1 0

2) Combine like terms

-44x - 105

Answer:

english?

Step-by-step explanation:

Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

Answer:

Exact Form: x = 10/7

                                 ______

Decimal Form: x = 1.428571

Mixed Number Form: x = 1 3/7

Hope this helps, have a nice day/night! :D

If this helped please mark this as brainliest!

Answer:

In the picture

Step-by-step explanation:

Good luck!

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

Given :

Evaluate the equation.

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

Answer:

I think b im not too sure

Step-by-step explanation:

Answer:

C  8

Step-by-step explanation:

3 apples/2 oranges = 12 apples/x

3/2 = 12/x

3x = 24

x = 8 oranges