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I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

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The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Answer: No

Is this 3/(2/3)?  I'll assume it is.

Step-by-step explanation:

3/(2/3) can be rewritten as 3*(3/2)

3*(3/2) = 9/2 or 4 1/2

Four groups of 2/3 would make 8/3 or 2 2/3, not 4 and 1/3.  

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

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.

Read more about expressions at :

https://brainly.com/question/12030750

#SPJ2

Answer:

His realation to sea level would be -75 since he would be below the ground/ sea level

Step-by-step explanation:

Pls brainliest

Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Answer:

A

Step-by-step explanation:

As it is 7 people that like blue

Answer:

g(g(- 4)) = - 16

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained back into g(x)

g(- 4) = 2(- 4) = - 8 , then

g(- 8) = 2(- 8) = - 16

Answer:

(x+y) + (x-y) = x + y + x - y =2x

(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2

(x+y) ( x-y)

x^2 - y^2

Step-by-step explanation:

Answer:

a) 45

b) No. AD and BC arent parallel.

Step-by-step explanation:

a)

3x + 2x + x + 90 = 360

6x = 270

x = 45

Hope you could understand.

If you have any query, feel free to ask.

Answer:

0.62982 monthly price increase

Step-by-step explanation:

Answer:

9 dollars

Step-by-step explanation:

cuz 9 dollars

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

Learn more: brainly.com/question/14355665

4748

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6

Answer:

4.766141725565771e23

Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ➗ (-0.125)

=> (-0.7 + 0.15) ➗ (-0.125)

=> (-0.70 + 0.15) ➗ (-0.125)

=> (-0.55) ➗ (-0.125)

=>(-0.550) ➗ (-0.125)

=> -0.550 ➗ -0.125  [Negative-Negative cancels]

=> 0.550 ➗ 0.125

=> 4.4

Answer:

yes,

She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.

Step-by-step explanation:

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

x +2y= 6 -----(2)

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4

Answer:

19.2

Step-by-step explanation:

You have to trust me, this answer is correct. But here's my solution:

With the formula

Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.

But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.

So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.  

Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.

Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2

DUBS

(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope

Answer:

f(8)=10

Step-by-step explanation:

f(8) would mean x=8.

So you could replace x with 8 in the equation.

f(8)=8+2

=f(8)=10

I hope this helped!

Answer:

25%

Step-by-step explanation:

25 percent decrease or reduction from 40 is 30

Answer:

x<4 hope it helps and it's correct

x <4 thats the answer ok

Answer:

Train A

Step-by-step explanation:

Look at the table.

Train A : 75 - 50/ 3 - 2 = 25 mi/n

Train B : 40 - 0/ 2 - 0 = 20 mi/n

25  > 20

So it's train A.

{ RATE }

Answer:

19

Step-by-step explanation:

because it alternate with A