find an expression for the area of a rectangle of sides 2x+3 and x-1 given that the perimeter is 28cm what is the value of x

Answers

Answer 1

Answer:

4cm

Step-by-step explanation:

Given data

L=(2x+3)

W=(x-1)

P=28cm

A= L*W

A= (2x+3)*(x-1)

open bracket

A= 2x^2-2x+3x-3

collect like terms

A= 2x^2+x-3

P= 2L+2W

P= 2*(2x+3)+2(x-1)

P= 4x+6+2x-2

collect like terms

P= 6x-4

but p= 28

28= 6x-4

28-4= 6x

24= 6x

x= 24/6

x= 4cm

Hence x= 4cm


Related Questions

9.
In the expression 7g + 12
a. 7 is the constant
b. c. 12 is the coefficient
C. g is the variable
d. if g = 4, the expression equals 30

Answers

Answer:

c. g is the variable

Step-by-step explanation:

Answer:

The only true answer is that g is the variable

C

help me please guys ​

Answers

Answer:

900

Step-by-step explanation:

because if you do 400×5m then that's 900

and that's how much work you did by just pushing 5 meters with 400 N

A map has the scale of 1 inch = 50 miles. if two cities are 1 inch apart on the map how many miles separate the cities?

Answers

Answer: 175

Step-by-step explanation:

To determine the actual distance using the map scale of 1 inch = 50 miles, you would multiply the number of inches shown on the map by 50.

For this problem:  3   1/2 •  50 =   7/2 • 50 =  175 miles

The two cities are 175 miles apart.

Solve for x 8.2/x =12/6.4

Answers

Answer: x=4.373

Step-by-step explanation: Have a brilliant day mate -Lily ^_^

Answer:

x=4.373 (put a repetend at the top of three last digit)

Step-by-step explanation:

Combine rational expressions and isolate variable x

Given the following functions, f (x)= 3x + 2 and g(x)= 5x determine
part a: f(8)=
part b: g(a+2)=

Answers

Answer:

a) 26; b) 5a+10;

Step-by-step explanation:

f(8)=3(8)+2

    =24+2

    =26

g(a+2)=5(a+2)

         =5a+10

The product of three and a number increased by 7 is 16

Answers

Answer:

Equation: 3x + 7 = 16

Unknown Number: 3

Step-by-step explanation:

You must first develop an equation representing this problem:

3x + 7 = 16

Then, you can solve for the unknown number.

3x + 7 = 16

3x = 9

x = 3

Hopkins has a 1 meter wire using to make clocks. Each fourth meter is marked off and divided into 5 smaller equal lengths.

Answers

Complete question :

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Answer:

15 th ; 15/20

Step-by-step explanation:

Length of wire = 1 m

Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4

Each fourth length divided into 5 equal sizes :

Hence. Total number of equal spaced division :

5 * 4 = 20

If wire is bent at 3/4 meter :

Fraction of the mark

3/ 4 of 20

3/4 * 20

(3 * 20) / 4

60 / 4

= 15th

= 15/ 20

Write an equation of the line that passes through pont (6,2) and is perpendicular to the line y = 3x + 3?

Brainliest will be given all points!

Answers

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes

The line will have a slope of:

- 1/3

The equation is:

y = -1/3x + b

Use the pair (6, 2) to find the value of b:

2 = -1/3(6) + bb - 2 = 2b = 2 + 2b = 4

The line is:

y = -1/3x + 4

Answer:

ummmmmmmmm

Step-by-step explanation:

find the diffrence 3/4 - 1/3

Answers

Answer: 0.4

Step-by-step explanation: 3/4 - 1/3 = 5/12

converted to decimal: 5 ÷ 12 = 0.4

Answer:

3 /4 – 1/3 = 5 /12

Step-by-step explanation:

Calculation steps:

3 /4 –1 /3

=3 × 3 /4 × 3–1 × 4/3 × 4

= 9 /12 –4 /12

= 9 – 4 /12

= 5 /12

indica a que numero decimal coresponde a esta fraccion

6/100

Answers

Answer: 0.06

because 100 has two zeros, the move the number of zeros to the left so the answer is 0.06

Smart ppl please help meee

Answers

The picture is blurry try resending it

Answer:

The reason why the area is 2a+3a+4a is because ax2=2a ax3=3a and ax4=4a know we know each segment so after that you add the segments to get the are equation which is 2a+3a+4a.

The reason why the area is also (2+3+4)a is because you just factored the orginial equation and if you use the distributive property they equal the same.

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

How is the ratio of crushed tomatoes to tomato paste different from the ratio of tomato paste to crushed tomatoes?

Answers

Answer and explanation:

The ratio 1:2 is different from the ratio 2:1. The ratio 1:2(one to two) means a comparison of two sizes; the ratio of one part of that thing to the ratio of two parts of that thing. Likewise, the ratio 2:1 is the comparison of two parts of a thing to the ratio of one part of the thing. For the ratio 2:1, we could say for example that for every two crushed tomatoes there is one tomato paste.

Pleasee can you give me the answer and explain how to do it for the future because I’ve been seeing this all day and I don’t know how to do it ;(

Answers

Answer:

C . y(18x-9w-12) ..............

Which equation can we use to find the equal volume of concrete in cubic feet darlin' needs for the staircase

Answers

Answer:

The equation required to find the volume of concrete is:

L X W X H.

Step-by-step explanation:

L = Lenght

W = Width

H = Height

To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.

If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.

Cheers

Help please and show work

Answers

So the radius is 7 inch which is given
Use the formula for the circumference which is 2xpiXradius
2x3.1415x7=44 to nearest integer

find the length of the missing side.

Answers

Answer:

length of third side is 10 units.

Step-by-step explanation:

let x be the missing side

by pythagorus :

x^2 = 8^2 + 6^2 x^2 = 64 + 36x = root 100x = 10

Write 546/61 as a mixed number.
Can you solve it

Answers

Answer:

8 58/61.

Step-by-step explanation:

546/61 = 8 remainder 58

so it's 8 58/61.

Substitute the value n = 4 in the expressions

2n
n + 2
3(n+4)​

Answers

Step-by-step explanation:

Given n = 4

2n = 2* 4= 8

n + 2 = 4 + 2 = 6

3(n + 4) = 3( 4 + 4) = 3 * 8 = 24

Hope it will help :)

Factor the expression completely
6x^3+x

Answers

Answer:

x(6x^2+1)

Step-by-step explanation:

To factor an equation, we have to take out the greatest common factor of both terms. In this case, that term would be x. Then we can out x outside of the parantheses and your distributive property to rewrite this equation.

у = 2х - 1
2х + Зу = -7

Answers

Answer:  1. у %3 2х

Step-by-step explanation: Find the distance between (0, 0) and (-3, 4) pair of points

Pls help Factor 4x^3+32

Answers

Answer:

Step-by-step explanation:

The greatest common factor they share is 4.

[tex]4(x^3+8)[/tex]

Simplify the radical: √80

Answers

Answer:

4√5

Step-by-step explanation:

if this isnt the answer u needed lmk!!

Rewrite 80 as its prime factor
Square root (2x2)x(2x2)x5

Group the same prime factors into pairs.
(2x2)x(2x2)x5

Rewrite each pair in exponent form.
2(2) x 2(2) x 5

Use this rule: square root of x(2) = x.

(2x2) square 5

Simplify 4 square 5

Decimal form: 8.944272

Hey can anybody help with this question please

Answers

A and B are proportional.

Find the mean absolute deviation for the data set.
Hits in a Round of Hacky Sack
5,18,18,5,6,12,5,
5,12,11,17,13,7,6,8

Answers

Answer:

try 6 because when u put them in order than u are by a 8 and a 7

Step-by-step explanation:

please tell me if i right

GUYS PLEASE I NEED HELP

Answers

Given:

The graphs of two parabolas.

To find:

The equation of the quadratic function with given graphs.

Solution:

(a)

The factor form of a parabola is

[tex]y=a(x-b)(x-c)[/tex]

Where, a is a constant, b and c are x-intercepts.

From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.

[tex]y=a(x-(-1))(x-3)[/tex]

[tex]y=a(x+1)(x-3)[/tex]            ...(i)

Put x=0 and y=3 because the y-intercept is (0,3).

[tex]3=a(0+1)(0-3)[/tex]

[tex]3=-3a[/tex]

[tex]\dfrac{3}{-3}=a[/tex]

[tex]-1=a[/tex]

Putting a=-1 in (i), we get

[tex]y=-1(x+1)(x-3)[/tex]

[tex]y=-(x+1)(x-3)[/tex]

Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].

(b)

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

Where, a is a constant and (h,k) is vertex.

From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]            ...(ii)

Put x=0 and y=8 because the y-intercept is (0,8).

[tex]8=a(0-2)^2[/tex]

[tex]8=4a[/tex]

[tex]\dfrac{8}{4}=a[/tex]

[tex]2=a[/tex]

Putting a=2 in (ii), we get

[tex]y=2(x-2)^2[/tex]

Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].

please help me on this will give you brainliest

Answers

The answer is 4=97 1=83 3=83
Hope this helps if it does please consider making my answer brainliest

Can anyone help me with this??

Answers

Answer:

find the cordinates of each letter or number then find witch is greater or less than when your answering it

Step-by-step explanation:

Simplify 12cm to 2.5mm

Answers

Given:

12cm to 2.5mm

To find:

The simplified for of given statement.

Solution:

We know that,

1 cm = 10 mm

12 cm =120mm

We have,

12cm to 2.5mm

It can be written as

[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120\ mm}{2.5 mm}[/tex]

[tex]\dfrac{12\ cm}{2.5\ mm}=\dfrac{120}{2.5}[/tex]

[tex]\dfrac{12\ cm}{2.5\ mm}=48[/tex]

Therefore, the value of 12 cm to 2.5 mm is 48 or 48:1.

Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?

Answers

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

how many triangles.

Answers

Its 4 easy Thank me later
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