A rectangle has a length that is 12 ft longer
than its width. If its perimeter is 84 ft, what
are the dimensions of the rectangle? Write
a system of equations representing the
situation and then find the dimensions to
obtain full credit.

Answer:

Step-by-step explanation:

tan e = x/(4x-1)

tan f = (6x+5)/(12x + 31)

since tan e = tan f

x/(4x-1) = (6x+5)/(12x+31)

x(12x+31) = (4x-1)(6x+5)

12x^2 +31x = 24x^2 +20x -6x -5

31x = 12x^2 +14x -5

0 = 12x^2 -17x -5

0 = (12x -5)(x -1)

x = 1, 5/12

Answer:

x=15/8

Step-by-step explanation:

Given: 2/3x-1/5x=x-1

Determine LCD: 10/15x-3/15x=x-1

Combine like terms: 7/15x=x-1

Get x on one side only: -8/15x=-1

Divide the coefficient on both sides: x=15/8

Answer:

37/7

Step-by-step explanation:

to get 37-

7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic

Answer:

Let's define:

A = # of students in group A

B = # of students in group B

C = # of students in group C.

"The total number of students who could attend a field trip is represented by the variable t."

This can be written as:

A + B + C = t.

"The number of students in Group A is less than the number in Group B."

Here we have a strictly "less than", then this is written as:

A < B.

"Group A has 6 students more than 1/4 the total number of students"

A = t/4 + 6

"Group B has 3 less than the total number of students"

B = t - 3.

Then we have the equations:

A + B + C = t.

A = t/4 + 6

B = t - 3.

A < B.

We could replace the second and third equatio in the fourth one, to get:

t/4 + 6 < t - 3.

t/4 + 9 < t

9 < t - t/4

9 < t*(4/4 - 1/4)

9 < t*(3/4)

(4/3)*9 < t

12 < t.

Then we found an inequality that defines the minimum possible value of t,

Step-by-step explanation:

a is the correct not sure though

Answer:Carlos will not close his account before $1,500 is present. Which of the

following intervals contains all the possible number of years after opening his

account that Carlos could close it?

Step-by-step explanation:

Answer:3:9

Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D

Answer:

sanaol matalino

Step-by-step explanation:

kase dehins matalino

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

Answer:

It would be 10 14/25

Step-by-step explanation:

You could use a calculator for this, but that’d be cheating so let me explain.

We make both of our fractions improper first

4 4/5 = 24/5

2 1/5 = 11/5

We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.

24 x 11 = 264

————

5 x 5 = 24

Ten 24s can fit into 264 so our final number is

10 14/25

Answer:

oh no! why

Step-by-step explanation:

can i have brainliest

also ty!

Answer:

you should talk to the moderator

Step-by-step explanation:

Function transformation involves changing the position of a function

The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

The function is given as:

[tex]\mathbf{y = mx +b}[/tex]

The ratio of the slopes of both segments is given as:

[tex]\mathbf{Ratio = \frac 43}[/tex]

Let the slope of the new segment be m2.

The slope of [tex]\mathbf{y = mx +b}[/tex] is m.

So, we have:

[tex]\mathbf{m_2 : m = \frac 43}[/tex]

Express as fractions

[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]

Multiply both sides by m

[tex]\mathbf{m_2 = \frac 43m}[/tex]

From the list of given options,

[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]

Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

Read more about function transformations at:

https://brainly.com/question/13810353

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

fourth root of 12*13^3          

--------------------------------

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Answer:

Step-by-step explanation:

9x-22=11x-54  take 9x from each side

-22=2x-54  add 54 to each side

32=2x  divide by 2

16=x

Answer:

25kg

Step-by-step explanation:

x = 100%

x = 140kg

x1 = 100% - 35% = 65%

x1 = 140kg × 0.65 = 91kg

x2 = 91kg - 26kg = 65kg

x3 = 65kg × 2/5 = 130kg/5 = 25kg

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

Answer:

4.050 cm

Step-by-step explanation:

Multiply 2.25 and 1.8, make sure to add the decimal point!

Answer:

B .The solutions are not viable because the amount of the sale cannot be negative.

Step-by-step explanation:

In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.

Answer:

Less Than

Step-by-step explanation:

Answer:

-1.0 is greater than -4.4

Answer:

-64

Step-by-step explanation:

Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

Answer:

a) P = 5000(1.014)^y

b) 5,908

Step-by-step explanation:

Here, we want to write an exponential growth model;

a)The model will be represented as;

P = 5000( 1.014)^y

where P is the population at a particular year after 2010

y is the number of years after 2010

b.) For 2022;

y = 2022-2010 = 12

P = 5000(1.014)^12

P = 5,908 approximately

Answer:

1. m = 4x - 5

2. R = 3(5 + x)

Step-by-step explanation:

let x represent the age(X)

let M represent Maria's age(M)

m = 4x - 5

2.

Let R represent the length of a rectangle (R)

Let X represent it's width (X)

R = 3(5 + x)

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

b = boys

g = girls

[tex]b:g=11:9, b=g+124[/tex]

[tex]b=11g/9[/tex]

Insert in the second equation

[tex]11g/9=g+124[/tex]

Solve for g

[tex]11g=9g+124\cdot9[/tex]

[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]

Solve for b

[tex]b=g+124=\boxed{682}[/tex]

Hope this helps.

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

Answer:

Constant

part

whole

Step-by-step explanation:

From the question, we want to fill in the gaps with the correct vocabulary

The correct wordings in this question is that;

A percent is a constant of proportionality describing the part of the whole

What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5