What is the length of a rectangle with width 12in. and area 66in.²​?

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units

Step-by-step explanation:

option C is the answer.

hope it helps

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

Answer: See the diagram below

The table moves up and to the right

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

Explanation:

The lower right leg will move along that diagonal line shown on the right side.

Since the table is solid and not flexible, all of the other 3 points will move in the same pattern.

What results is what you see in the diagram below. The table moves to the right some distance and up some (other) distance along that diagonal path.

Note how the lower right leg is always on that path, since that path itself is the result of scraping that leg against the floor.

Also, I'm assuming your teacher wants purely a translation and nothing else. That means the table hasn't been rotated in any fashion.

Answer:

√2930

Step-by-step explanation:

The distance formula is

√((difference between x values)² + (difference between y values)²)

= √((-3 - 8)² + (-11 - (-42))²)

= √((-11)² + (31)²)

= √1082

97/40 = 2 17/40

En decimals: 2.425

Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

Answer:

f(-5) = 19

Step-by-step explanation:

f(t) = -3t+4

Let f(t) = 19

19 =  -3t+4

Subtract 4 from each side

19 - 4 =-3t+4-4

15 = -3t

Divide each side by -3

15/-3 = -3t/-3

-5 = t

Answer:

the answer is -5

Step-by-step explanation:

F(t)=-3(t)+4

it told you that F(t) is equal to 19

so -3*-5=15+4=19

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

If you want to learn more, you can read:

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Answer:

93,500,000

Step-by-step explanation:

Rounding rule:

1) If the digit directly next to the one you are finding is 5 or greater, round up.

2) If the digit is 4 or less, round down.

Note the hundred thousands place value (underlined and bolded):

93,487,991

Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:

93,487,991 rounded to the nearest hundred thousand is 93,500,000.

~

The best time to close the pool is the evening from 4 to 7 pm.

This is called the taking of average among all possible samples.

This can also be solved using mean, mode or median is data is given.

Learn more about mean here:-https://brainly.com/question/1136789

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Answer:

first question

mean = 5.11

median = 6

mean = sum of the terms

number of terms

= 271

53

= 5.11

median is the 27th (arrange lowest to highest number)

conclusion, the median is higher than mean, the answer is B.

sec question

a is the answer

third question

a is the answer

last question

mean = 60838

median = 60000

the answer is B

Answer:

40 % are women

Step-by-step explanation:

20 - 12 = 8 / 20

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]

is equal to:

[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]

•◇•◇○◇•◇•

➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]

➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]

➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]

➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]

➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]

Answer:

3a+2b=17

soln

3a+2b=17

3a+2b-2b=17-2b

3a=17-2b

3a/3=17/3-2b/3

a=17-2b/3

Answer:

71.75 in^3

Step-by-step explanation:

If the values are

3 1/2in 5 1/4in 4in

then multiply all three of them

71.75 in^3

Hope I helped!

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

hi <3

2x + 3 = -7

subtract 3 from both sides:

2x = -10

divide both sides by 2:

x = -5

hope this helps :)

Answer:

Mid point

x = 7 + (-3)/2. y = -3 + 11/2

x = 7-3/2. y = 8/2

x = 2. y = 4

Midpoint = (2,4).

2.

[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]

3.

[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]

Answer:

It will be 3 because its take away hope this helped

Answer:

1. Natural

2. Whole

3. Integer

4. Rational

The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

For example 1, 2, 3, 4, 5, 6, and so on.

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Learn more about the Integers here :

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Answer:

= 3y2-y2+2y+y

= 2y+3y

= 5y

Answer:

12^3

Step-by-step explanation:

The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3

Answer:B. 1 divided by 16

Step-by-step explanation:

i dont know it might be b Or c

just my guess