Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?

Answers

Answer 1

9514 1404 393

Answer:

  A(w) = w(3w-2)

  A(2) = 8 . . . . square feet

Step-by-step explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

  A = WL

  A(w) = w(3w-2)

__

To find the area for a width of 2, we put 2 where w is, then evaluate.

  A(2) = 2(3·2 -2) = 8 . . . . square feet


Related Questions

Garret paid 20$ for five movie tickets find the cost per ticket



Megan paid 22$ for 7 books determine the cost per book

Answers

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points) Group of answer choices Fraction 5 over 7 unit 1 unit 1 Fraction 3 over 7 units 2 Fraction 5 over 7 units

Answers

Given:

Length of the rectangle = [tex]\dfrac{2}{7}[/tex] units

Width of the rectangle = [tex]\dfrac{3}{7}[/tex] units.

To find:

The perimeter of the rectangle.

Solution:

We know that,

Perimeter of a rectangle = 2( l + w )

where, l is length and w is width.

Using the above formula, the perimeter of the rectangle is

[tex]P=2(\dfrac{2}{7}+\dfrac{3}{7})[/tex]

[tex]P=2(\dfrac{5}{7})[/tex]

[tex]P=\dfrac{10}{7}[/tex]

[tex]P=1\dfrac{3}{7}[/tex]

The perimeter is  [tex]1\dfrac{3}{7}[/tex] units.

Therefore, the correct option is C.

Answer: for short its c have a good day ! :)

Step-by-step explanation:

Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.

Answers

Answer:

D: The area of the base.

Step-by-step explanation:

The volume of a triangular based pyramid is represented by the formula given that the question as:

V = 1/3BH

where B = Base area of the triangular based pyramid

H = Height of the triangular based pyramid.

Hence, option D is correct

B = The area of the base.

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
A). -12
B). -1
C). 5
D). 7

Answers

Answer:

Option (B) is the correct answer.

Step-by-step explanation:

Let 'x' the starting point be

She walks down 2 flights to visit a friend.

so walking down means we need to add 2 units to the starting point x

[tex]x+2[/tex]

Then he walks up 3 flights to deliver a message to a neighbor.

now subtracting 3 units from (x+2)

[tex]x + 2 - 3 = -1[/tex]

x = -1 means now he is UP to 1 point where he started his flight.

Thus, he needs to walk down 1 more flight to reach her starting point

Thus, -1 is the number of flights Brandie must walk to get back to her starting point.

Therefore, option (B) is the correct answer.

which number line shows the solutions to n > 0

Answers

It can be any number from 1 and up. So it’s the first one

The third line shows the solutions to n > 0.

The correct option is third line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

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Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

460

Step-by-step explanation:

Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.

Answers

Answer:

A) The parallelograms all have congruent sides and angles.

Step-by-step explanation:

Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.

In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.

Answer:

C

Step-by-step explanation:

I got it wrong because I listened to the other guy :\

Have a great day!

ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.

What value of x makes this equation true? 12x - 15 = 6 - 3x

Answers

Answer:

12x - 15 = 6 -3x (add 3x to both sides)

15x - 15 =6 (add 15 to both sides)

15x= 21 (divide both sides by 15 to get x alone)

x= 1.4  (the answer)

Answer:

1.4

Step-by-step explanation:

#5 Determine the x and y intercept of the following
equation.
2x + y = 6

Answers

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x

Answers

Answer:

The sum of the two digits integers which divide 109 with a remainder of 4 is 71

Step-by-step explanation:

The given parameters are;

109/x = Q + 4/x

Therefore, we have;

109 = Q·x + 4

∴ Q·x = 109 - 4 = 105

x = 105/Q

Therefore, x is a factor of 105

The possible two digits integers which x represents includes the two digit factors of 105 which are;

15, 21, and 35

Which gives;

15 × 7 = 105

21 × 5 = 105

35 × 3 = 105

The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.


Triangle A is a right triangle. The hypotenuse is 10”. One side is 8”. Find the other side.

Answers

12.8. is answer by formula

The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The
third number is two more than the first number, x. Which equation can be used to solve for the first number, X?
Ox+ 5x + x + 2 = 45
O x + x + 3 + x + 2 = 45
O x + 3x + 2 + x + 2 = 45
O x + 2x + 3+x+ 2 = 45

Answers

The option D is correct

O A. Belonging to a particular region or place

PLEASE HELP!!!
Use linear equation to calculate intercepts.
x - 1/2y=-4
complete the table with values for a and b.
a=
b=

Answers

Answer: a=8 b=-4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

ALERT NEED HELP PLEASE ASAP ​

Answers

Because to find the equation of the line is difference in x/difference in y. It’d be:

-3/2 = -1.5
And the line crosses at the y-intercept at 1 so the answer would be:
y = -1.5x +1

The name of every student taking Algebra was listed alphabetically and numbered. The teacher uses
an arithmetic sequence to call on students. The numbers of the first 3 students are listed below.
What will be the number of the 25th student chosen?
9,6, 3...

Answers

Answer:

The number will be -63

Step-by-step explanation:

Here, we want to give the number of the chosen 25th student

We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3

Mathematically, we can calculate the nth term using the equation below;

Tn = a + (n-1)d

in this case, n = 25, a = 9 and d = -3

So we have

Tn = 9 + (25-1)-3

Tn = 9 -3(24)

Tn = 9-72

Tn = -63

If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?

Answers

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

$Ok so there is $6 per apple

Whats the error in this problem 19 - 2k = 3k - 1
+ 3k + 3k
19 + 1k - 1
- 19
- 19
k = - 20

Answers

Step-by-step explanation:

Just collect like terms. Follow the +ve and _ve signs as they go over the equation sign where they then become an inverse of themselves and use the signs to work

A $760 item is marked down by 10% what is the new cost of the item

Answers

Answer:

Step-by-step explanation:

This means the cost of the item to you is $684. You will pay $684 for an item with an original price of $760 when discounted 10%. In this example, if you buy an item at $760 with a 10% discount, you will pay 760 - 76 = 684 dollars.

Answer:

the answer is $684

Step-by-step explanation:

760 x 10 /100= 76

760 - 76 = $684

Help Please <3
Brainly!!!

Answers

Answer:

I think question 11 is 115?

Step-by-step explanation: Tell me if im wrong

Answer:

352 for number 10

Step-by-step explanation:

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x

Answers

9514 1404 393

Answer:

  (a)  f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

  f(x) = 85(1 -0.25)^x . . . . matches the first choice

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

To learn more about the exponential decay;

https://brainly.com/question/14344314

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A complex number has a real part 4 and an imaginary part coefficient of -3. Which binomial is equivalent to this complex number?

Answers

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

8. You deposit $2000 in an account that
earns 5% annual interest. Find the balance
after 1 year if the interest is compounded
quarterly.
A. $2,100
B. $2,101.89
C. $2,102.32
D. $2,102.49

Answers

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

answer correctly please i will give you BL

Answers

Answer:

it will take 3 week to raise the height of 120 inch

Answer:

You need around 4 weeks to grow to 120 inches.

Step-by-step explanation:

Help I can’t fail plz help

Answers

1 . Joshua
2 . 1/2
3 . 3/2

Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST

Answers

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

Find the values of x and y
please help <3

Answers

Answer:

x=90 degree

y=30 degree

Step-by-step explanation:

Solve 2x+3y=6 for y

Answers listed:
y=-2/3x+2
y=2/3x-2
y=2x-3
y=2x+6

Answers

2x + 3y = 6 <=>

3y = -2x + 6 <=>

y = -2/3x + 6/3 <=>

y = -2/3x + 2

The answer is the first one.
I think It’s 2/3 x -2

on Monday the high was 60 degrees Fahrenheit on Tuesday the high was 18% more how much did the high increase from Monday to Tuesday

Answers

Answer:

10.8 deg

Step-by-step explanation:

18% of 60 = 0.18 * 60 = 10.8

The high increased 10.8 deg

the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations

Answers

Answer:

Step-by-step explanation:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.

You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.

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