The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased by 1 cm, the area of the cardboard would be decreased by 27 cm². What are the dimensions of the original piece of cardboard?

Write and solve an equation to represent the problem.

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

[tex]Width = 2wice\ Length[/tex]

Required

Determine the dimension.

This is calculated as :

[tex]Area = Length * Width[/tex]

[tex]A = L * W[/tex]

So:

[tex]A=L * 2L[/tex]

[tex]A=2L^2[/tex]

Substitute 72 for A

[tex]72=2L^2[/tex]

Divide bith sodes by 2

[tex]36 = L^2[/tex]

Take square root of both sides

[tex]L = 6[/tex]

Recall that:

[tex]Width = 2 * Length[/tex]

Hence:

[tex]LEnhth= 0 * 2[/tex]

[tex]LEnhth= 2[/tex]

Hence, the dimension is: 2 by 3 inches

Answer:

3 plus 3, that is the sequence

Answer:

1.73205080757

Step-by-step explanation:

Th4t's the answer

Answer:

variables

Step-by-step explanation:

Answer:

27.883

Step-by-step explanation:

75.847

-47.964

27.883

Answer:

23 ft

Step-by-step explanation:

The computation of the maximum length of the base of the triangle is as follows:

Area of triangle is = 4 × 6 ÷ 2

= 12 ft²

Now the maximum area of the rectangle is

= 150 - 12

= 138 ft²

L = ?

W = 6 ft

Area of rectangle is  = L × W

L × 6 = 138

L = 138 ÷ 6

= 23 ft

Answer:

The value is  [tex]n = 3648 [/tex]

Step-by-step explanation:

From the question we are told that

     The sample proportion is  [tex]\^ p = 0.5[/tex]

     The margin of error is  [tex]E = 0.015[/tex]

From the question we are told the confidence level is  93% , hence the level of significance is    

      [tex]\alpha = (100 - 93 ) \%[/tex]

=>   [tex]\alpha = 0.07[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.812[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{ 1.812 }{ 0.015} ]^2 *0.5 (1 - 0.5 ) [/tex]  

=>  [tex]n = 3648 [/tex]

Answer:

x = 7

Step-by-step explanation:

Given

2(2x + 1) = 30

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/ 4

x = 7

Hope it helps :)❤

Answer:

x= 7

Step-by-step explanation:

2(2x+1) =30

2×2x+2×1=30

4x+2=30

4x=30-2

4x=28

x=28÷4

x=7

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs

cross multiply

(2)(x) = (120)(5)

2x = 600

x = 600/2

x = 300....the motorcyclist would travel 300 miles in 5 hrs

or u could do it this way..

120/2 = 60 miles per hr

60 * 5 = 300 miles

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

First find the total number of hours she practices based on the average of 2 hours a day for six days.

This means 6*2 = 12 , she practices a total of 12 hours.

Next find the total hours she already practiced. She practices 1 hour a day from Mon to Fri, which is 5 days, so 1*5 = 5 hours. This is the hours she practiced already.

To meet the mean, she needs to practice 12-5 = 7 hours more on Saturday.

please give thanks by clicking the red button :)

Answer:

must practice 7 hours on Saturday

Step-by-step explanation:

Let 'x' = number of hours on Saturday

(5 (hours) + x) / 6 (days) = 2

[tex]\frac{5+x}{6}[/tex] = [tex]\frac{2}{1}[/tex]

Cross-multiply to get 5 + x = 12

Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

Answer:

20 feet

Step-by-step explanation:

Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.

To find perimeter, we need to add up all the sides.

Because it's a square each side has the same length.

There are 4 sides.

5 x 4 = 20

or 5 + 5 + 5 + 5 = 20

The perimeter is 20 feet

Answer:

SSS

Step-by-step explanation:

The SSS theorem is the side-side-side theorem. Basically, since all three sides from one triangle is congruent to the corresponding sides of the other triangle, then the triangles have to be congruent. There are other theorems such as the SAS theorem (side-angle-side), but since the question only give us the fact that the sides are congruent, its SSS. Sorry, I hope this is good enough. XD

Answer:

20 :3

Step-by-step explanation:

Answer:

lol currently I'm at 14, good job! I hope you have a good day, stay safe, and Happy holidays!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2(x+3)(2x-1)

Step-by-step explanation:

Answer:

 y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1          2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 )          y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1)  ----> y-4 = -1/3x-1/3

y-4+4 = -1/3x-1/3+4  ---->  y = -1/3x + 3 2/3

hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays

Answer:

c. y=2x+6

Step-by-step explanation:

In slope intercept for (y=mx+b) m is the slope and b is the y-intercept.

Answer:< IJL= 63°

Step-by-step explanation:

as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°

Answer:

50  miles

Step-by-step explanation:

50 because 1 inch is 20 miles. There is two and a half inches.

Answer:

Next plug the y into the second equation to solve for x

Now we know x and we can plug into the original equation (1)

Rate brainlist and drop a follow for future help

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x-6*y-(18)=0  

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 6y - 18  =   6 • (x - y - 3)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   x-y-3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

Step-by-step explanation:

x= 1 y= 1

hope am right if i am, pls brainliest

Answer:

5250

i hope this is right.

Answer:

5250

Step-by-step explanation:

person on my top got it ^

Answer:

? 7 miles an hour i guess