Mathematics College

4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1

4. The Side Lengths Of A Square Are Each 5p. By Adding 1 To The Length And Subtracting 1 From The Width,

Answers

Answer 1

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Related Questions

What expressions can be used to find 1/3 of 12

Answers

Answer:

The answer is this:

1/3*12=4/1=4

The expression can be written as 1/3 × 12 and its value is 4.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given fraction is 1/3.

And, the number is 12.

Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,

⇒ 1/3 × 12

Its value can be evaluated as,

⇒ 1/3 × 12 = 4

Hence, the required expression is 1/3 × 12 and its value is 4.

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An item that originally cost $12 was on clearance Alford $3.60 what is the percentage of the discount

Answers

Answer:

she has hdu 7match the inequalities with the graphs

So you would do
3.60 divided by 12 and that would get you 0.3%

2(4+7) as distributive property?

Answers

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Answers

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

find the lenght of thir side if neccesary round to the nearest tenth 12 5

Answers

Answer:

13.416 or 13.4

Step-by-step explanation:

Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y

Answers

Answer:

uhh which 1

Step-by-step explanation:

The expressions are simplified and factored in as below.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The expressions are simplified as,

1.

5x + 3x

= 8x

2.

2x + x

= 3x

3.

6x + 8x

= 14x

4.

9x + 3x

= 12x

5.

7x + 4x

= 11x

6.

10x + x

= 11x

7.

3x + 2 + 4x

= 7x + 2

8.

15x + 3 + x

= 16x + 3

9.

2x + 5 + 6x

= 8x + 5

10.

7x + 2x + 4

= 9x + 42

11.

18x + 3x + 9

= 21x + 9

12.

6x + x + 8

= 7x + 8

13.

21x + 15y

= 3(7x + 5y)

14.

2x + 14y

= 2(x + 7y)

15.

15x + 10y

= 5(3x + 2y)

16.

12x + 18y

= 6(2x + 3y)

17.

10x + 30y

= 10(x + 3y)

18.

6x + 14y

= 2(3x + 7y)

19.

8x + 16y

=  8(x + 2y)

20.

45x + 27y

= 9(5x + 3y)

21.

54x + 48y

= 3 (18x + 16y)

Thus,

The expressions are simplified and factored in as above.

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Plz help what the answers :')

Answers

Answer:

X=87.5 and the equation is 0.40/x=35

Step-by-step explanation:

Martina is 3 inches less than twice as tall as her little brother.


In the space below, write an expression for Martina’s height. Then, use the expression to find Martina's height if her little brother is 28 inches tall.
Help ASAP

Answers

Answer:

m=2x-3

Step-by-step explanation:

2(28)-3

56-3

53 inches

Type an equation of a standard parabola that is shifted right 3 units. Helppp asap

Answers

Answer:

y=(x+5)2 hope this helped!!! :D

Step-by-step explanation:

10. The perimeter of Lola's rectangular
backyard is 76 feet. If the width of the
yard is 25 feet, what is the length of
the yard?
What is the answer

Answers

I think 51 is the answer

x intercept of y = -3x + 3

Answers

Answer:

(1,0)

Step-by-step explanation:

At a bake sale, the soccer team had 50 packs of cookies to sell. At the end of the sale, they had 5 packs left.
What FRACTION of the cookies were sold?

Answers

Answer:

45/50= 9/10

Step-by-step explanation:

If 5 packs were left after the sale, then 50-5=45 is the number of packs sold

Then the fraction sold would be the number of packs sold divided by the total number of packs.

45 sold/50 total

i need help.........

Answers

Answer:

17

Step-by-step explanation:

Please find the slope of (-2, 4) and (3, -5)

Answers

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)(3, -5)  

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [-5 - 4] / [3 - (-2)]

                 = [-9] / [3 + 2]

                 = -9/5

Thus, the slope of the line = m = -9/5  

Answer:

m = -9/5

Step-by-step explanation:

Taking (-2,4) as (x1,y1), and

Taking (3,-5) as (x2,y2)

Using the slope (m) formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

= (-5-4)/(3-(-2))

= -9/(3+2)

= -9/5

Hence, the slope is -9/5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

In a right triangle, the length of one leg is 4 units. The length of the other leg is 5 units. What is the length of the hypotenuse?
A. 3
B. (the square root of) 18ft.
C. (the square root of) 20ft.
D. (the square root of) 41ft.

Answers

Answer:

D. (the square root of) 41ft.

Step-by-step explanation:

4+5=c

4^2+5^2=c^2

16+25=c

41=c

Gabby and Sam each ordered a small pizza. Gabby ate 3/8 of her pizza and Sam ate 1 slice of his pizza. If they ate the same Amount of pizza, which statement below is true about the pizza they ate

Answers

Answer:

small pizza

Step-by-step explanation:

1/2 gabby 1/2 sam

Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
The solution is

Answers

Answer:

x = 4.5

Step-by-step explanation:

0.2(-3) + 5.1 = -0.6 + 5.1 = 4.5

There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish,
Using a Venn diagram, or otherwise, work out how many students study only one
language.

Answers

Answer:

24 students where studying one language

Step-by-step explanation:

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. how long did he practiced ​

Answers

Answer:

tyler practiced playing the clarinet for 48 mintues

Step-by-step explanation:

multiply 64% (.64) by 75

and it equals 48

The answer is 48 minutes

Need help with this please

Answers

Answer:

angle C=93 degrees

Step-by-step explanation:

arc AB=78 degrees

arc ABC=2x105 degrees=210 degrees

arc AD=360-210-42=108 degrees

arc=DAB=78+108=186 degrees

angle C=1/2(186)=93 degrees

If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
x + 2?

Answers

Answer:

-31

Step-by-step explanation:

Do long division and make sure to put a place holder for x

please help me with this

Answers

I’m pretty sure the answer is D

Después de aplicar un 15% de descuento, el precio de un juego de comedor es de $940. Calcular el precio inicial.

Seleccione una:
a. $1.456,80
b. $1.340,00
c. $1.000,50
d. $1.105,88

Answers

Answer:

b).$1.340,00

Step-by-step explanation:

Sana po makatulong ako sayo..

The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5

Answers

answer: C. the product of 6 and the difference of x minus 5

Find the product.
2y2(3x + 5z)
5xy2 + 7y²z
6xy2 + 10y2z2
6xy2 7 10y?z

Answers

Answer:

6xy² + 10y²z is the product answer

Step-by-step explanation:

Lin runs 5 miles in 40 minutes.

A. How many minutes per mile that?

B. How many miles per minute is that?

C. If Lin runs 9 miles at the same rate, how long does it take her?

Answers

8 mins
1 mile
1 hr and 12 mins

Please help I’m begging I’ll make you brainliest

Answers

Answer:

t < 7  (all values less than 7)

All of the values make the inequality true except the bottom row

since you cannot leave 't' as a negative, divide each side of the inequality by -1 (but remember to reverse the inequality symbol)

Step-by-step explanation:

Evaluate 2 to the ninth power. Help plz

Answers

2^9 = 2 x 2 x2 x 2 x 2 x 2 x2 x 2 x 2 = 512

2 ^9 = 512

Which table of values represents a linear function?

Answers

Answer:

B is the table value which represents the l

A meteorologist said that is was sunny for 70% of the
days the past 60 days.
On how many days was it NOT sunny?

Answers

There was 18 days that wasn’t sunny
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