By decreasing each dimension by 2 units, the area of the rectangle decreased from 24 square feet to 6 square feet. Find the percent increase

Answers

Answer 1

The percent increase after decreasing the dimensions of a rectangle is 66.67%

The question asks for the percent increase in area when the dimensions of a rectangle are decreased, which necessitates understanding of area calculations and percentages. Initially, the rectangle had an area of 24 square feet, which reduced to 6 square feet upon decreasing each dimension by 2 units.

To find the percent increase, one should first understand that a decrease in area actually implies a percent decrease, rather than an increase.

Find the area of the original rectangle: 4 units x 6 units = 24 square feet

Find the area of the new rectangle: (4 - 2) units x (6 - 2) units = 8 square feet

Calculate the percent increase: ((24 - 8) / 24) x 100% = 66.67%


Related Questions

what does the expression 5n represent

Answers

Pretty sure it means 5 times "n"
For every value of 'n', it is multiplied by 5, or, in equation form, 5 x n

Hope this helps!

Write a situation from real life that can be represented as an ecuation: y = 1/20x. Don’t forget to describe what does each variable represent.


Can you help me please?

Answers

A situation this equation can represent is the amount of hair growth you have in a certain period of time

y= the amount (in inches) your hair has grown
1/20 represents 1/20 inch growing rate per day
x= the number of days that has passed

Hope this is acceptable!

What is the slope of this line?
Enter your answer in the box.

Answers

Hello,


M=slope=2/-2

Plz mark me brainliest!

Hope this helps!
The slope is -1, because -2/2=-1

Question 5 / 5 The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?

Answers

Question 5 / 5 The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?
Final answer:

To find the number of containers used, set up a system of equations using the given information. Solve for the number of big and small boxes used, and then divide the total number of boxes by the number of boxes that can be put in one container to find the number of containers.

Explanation:

To find the number of containers used, we need to determine the number of big boxes and small boxes used. Let's assume the number of big boxes used is 'x', and the number of small boxes used is 'y'.

According to the given information, the total number of turkey boxes used is 96. So, we have the equation: x + y = 96.

We also know that in one container, they can put 8 big turkey boxes or 10 small turkey boxes. Using this information, we can create another equation: 8x + 10y = 96.

Solving these two equations will give us the values of 'x' and 'y', which represent the number of big and small boxes used, respectively. Then, we can find the number of containers by dividing the total number of boxes by the number of boxes that can be put in one container.

round to the nearest centemeter

Answers

Translate this statement into an equation.

16 cm = (1/4)d + 2.5 cm

64 cm = d + 10

54 cm = d  (answer)
Final answer:

Rounding to the nearest centimeter involves adjusting a precise measurement to the nearest whole centimeter mark on a measuring tool. Millimeters and centimeters are appropriate units for measuring small objects, and understanding the conversion between these units is important for accurate rounding.

Explanation:

When you are asked to round to the nearest centimeter, you are being tasked with adjusting a measurement to reduce its precision to the nearest whole number of centimeters. In the context of using a measuring device such as a meterstick, you typically have the ability to measure in centimeters (cm) as well as millimeters (mm), with 10 millimeters making up 1 centimeter. For example, if you have a measurement that falls between the 1.2 cm and 1.3 cm marks, you will evaluate which of those two centimeters marks is closest to your measurement. If your object's measurement to the nearest millimeter is beyond the 1.25 cm mark (or 12.5 mm), you will round up to 1.3 cm; if it's less, you'll round down to 1.2 cm.

It's important to choose an appropriate unit of measurement based on the size of the object being measured. For an item like a paper clip, a large unit such as kilometers or meters would not be practical. Instead, you'll choose between millimeters and centimeters, which are better suited to small objects. When converting measurements from a smaller unit like millimeters to a larger unit like centimeters, you would divide the number by 10, moving the decimal point one place to the left because there are 10 millimeters in 1 centimeter.

There are 10 marbles in a bag. How many green marbles are in the bag if the probability of picking a green one is 3/10?

Answers

There would be 3 green marbles.
I think it means that they are 3 green marbles because if it is 3/10 possibility of picking a green one out of ten it is mabe 3

I am not sure

The town of Lantana needs $14,000 for a new playground. Lantana elementary school raised $5,358, Lantana middle school raise $2834, Lantana high school raised $4,132.about how much more money do they need to raise choose the best estimate

Answers

5358+2834+4132=12324

14000-12324=1676

I think they need $1676

Answer:

2k/2,000

Step-by-step explanation:

we know 1676 turns into 2k

Adam says that the number 4 has four factors. Explain why this statement is incorrect.

Answers

Answer:

It is incorrect,

Step-by-step explanation:

The factors of 4 are 1, 2, and 4. The number 4 has three factors.

Although 2 × 2 is 4, the factor 2 is only counted once.

Final answer:

Adam's claim that the number 4 has four factors is incorrect; the number 4 has only three factors: 1, 2, and 4.

Explanation:

Adam's statement that the number 4 has four factors is incorrect. The factors of a number are the integers that can be multiplied together to result in the original number. The number 4 has three factors, not four. These factors are 1, 2, and 4 itself.

Here's why: The factor 1 is a universal factor because it can divide into any number without leaving a remainder. The number 2 is a factor of 4 because 2 x 2 equals 4. Finally, the number itself, 4 in this case, is always a factor because 4 x 1 equals 4. Listing out all the factors of 4, we would not find any number other than 1, 2, and 4 that can multiply together to produce 4.


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What is a scale drawing and how do you solve it? ( You can use any example to represent how to solve a scale drawing) Thanks!






-nana-

Answers

The definition of a Scale Drawing is- A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Well an example would be- Write the scale of the drawing, 1 cm = 1.5 m, as . Then write a proportion in which each ratio compares centimeters to meters. Let n represent the actual length of the boat. The actual length of the boat is 4.5 m. explaining is a little hard, but u can look up video examples to help u understand better

Fill in blank to show steps in solving the inequality.
-2x + 12 < -4
-2x + 12 - __________ < -4 - _________
-2x < ________________
-2x divided by __________> _______ divided by _______
x > ______________

Answers

-2x +12 < -4
-2x +12 -12 < -4 - 12
-2x < -16
-2x divided by -2 > -16 divided by -2
x > 8

Answer:

x > 8

Step-by-step explanation:

To isolate the variable, you must follow the order of the operations in reverse: that is, from the sum the opposite operation is the subtraction and from the multiplication the inverse is the division. As first you must undo the sum or subtraction before the multiplication, on both sides of the inequality you subtract 12, with the objective, as it was said, of isolating the variable x using the inverse operations.

-2*x+12 -12 < -4 - 12

Resolving you get:

-2*x < -16

Now, to isolate the variable x, you reapply the inverse operation, in this case the opposite operation of the multiplication.  And ou should keep in mind that if the two members of an inequality are multiplied or divided by the same negative number, the resulting inequality changes direction. For this reason you get:

-2x divided by (-2) > (-16) divided by (-2)

Resolving these accounts, you finally get:

x > 8

The sixth grade class is going to the local art museum.There are 46 students in the class.The total cost of the tickets for all the students is $379.50.What is the cost of one students ticket?

Answers

1st you divide:
 379.50/46=
8.25
$8.25
Divide 379.50 by 46 =

Your answer should be $8.50 per student.

Write equations: Two times the difference of a number and 4 is the same as 5 less than the number - A number plus 5 is the same as 3 minus 4 times the number - Two times a number minus 9 is equal to 3 minus 4 times the number

Answers

2 ( x - 4 ) = x - 3
x + 5 = 3 - 4x
2 ( x - 9 ) = 3 - 4x

Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

Answers

It takes about 6 hours
First find the answer in hours, and then convert your answer to minutes.

310 miles                                                              60 min
------------- = 5.636 hours, which, when mult. by ---------------
55 mph                                                                     1 hr

comes to 338 minutes (the nearest whole number).

John’s teacher gave him the following system of equations and asked him to find the point of intersection.

5x + 7 = y
9x – 5= y


Select the ordered pair that represents the intersection of the lines represented by the two equation.




A.(3, –8)

B.(3, 22)

C.(5.5, 44.5)

D.(5.5, 34.5)

Answers

The intersection is at (3,22). You can use the elimination method and solve for x. 
Step 1: multiply 5x+7=y by -1.
Step 2: Use elimination method and get 4x-12=0
Step 3: Solve for x=3
Step 4: Plug 3 in for x in one function an solve for y.
Step 5: Check your work.

When z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8?

Answers

The question states that z divided by 8, or z/8 has a remainder of 5. That means that 8 goes into z 5 times, but has a remainder of 5, meaning that 8*5+5=z=45. To find 4z, we multiply 45 by 4 to get 180. Next, we use long division to divide that by 8.

     22
   ______
8 | 180
     -160
     ____
       20
       -16
       ___
          4. This can be done due to that 8 does not go into 1, but 8*2=16, and 8*3=24. Keep in mind that since 8 doesn't go into 1, the 1 moves over with the 8 to form 18. Next, we have 18-16=2, and we add a 0 at the end because 180 has 3 digits. We repeat the process for 20, and at the end, since 8 does not go into 4, we have a remainder of 4     

The remainder when 4z is divided by 8 is 4

From the question, when z is divide by 8, the remainder is 5. But we do not know the quotient.

From the formula

[tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]

Here, the dividend is z, divisor is 8, and the remainder is 5.

Let the quotient be x, then we can write that

[tex]\frac{z}{8} = x + \frac{5}{8}[/tex]

Now, to determine the remainder when 4z is divided by 8,

Multiply both sides of the equation by 4

[tex]4 \times\frac{z}{8} =4\times( x + \frac{5}{8})[/tex]

[tex]\frac{4z}{8} = 4x + \frac{20}{8}[/tex]

Then,

[tex]\frac{4z}{8} = 4x +2+ \frac{4}{8}[/tex] (NOTE: [tex]\frac{Remainder}{Divisor}[/tex]must be a proper fraction)

[tex]\frac{4z}{8} = (4x +2)+ \frac{4}{8}[/tex]

Compare this to the formula [tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]

The remainder is 4

Hence, the remainder when 4z is divided by 8 is 4.

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refer to the equation 3x-6y=18
A create a table of values for at east 4 points
(help plz)

Answers

3x-6y=18
  x - 2y = 6

if x = -4, then  -4 - 2y = 6...-2y = 10, so y = -5
if x = -2, then  -2 - 2y = 6...-2y = 8, so y = -4
if x = 0, then         -2y = 6.... y = -3
if x = 2, then     2 - 2y = 6...-2y = 4, so y = -2
if x = 4, then     4 - 2y = 6...-2y = 2, so y = -1

can some one please help me I am stuck on my math homework

Answers

there ya go it was very hard but i hope this is helpful

Help me please!!!!!!!?

Answers

it is c.it is actually 1.548 but you round it so....
I agree that it is C... I have done my work and you do end up with 1.548 but you just round it

Can someone please rotate this 180 degrees??

Answers

Orange is the shape rotated 180 degrees

Answer:

point x and c would switch places and then point n would be at (-3,2) and point z would be al (1,5)

If a linear equation is written in form y=1/2x-2, which method could be used to graph the line represented by the equation?

Answers

Final answer:

The linear equation y=1/2x -2 can be graphed by first plotting the y-intercept, then using the slope to plot additional points.

Explanation:

Such equations can be graphed using a few different methods. One common approach is plotting data pairs on a coordinate grid.

For the given equation y = 1/2x - 2, it is convenient to begin by identifying b, which is the y-intercept. In our case, b equals -2. This is the point where the line crosses the y-axis. Next we need to understand what the slope (1/2 in our equation) means: for every step we move to the right along the x-axis (in the positive direction), we move half a step up along the y-axis.

To graph the equation, you start at the y-intercept (0,-2) and use the slope to identify subsequent points. For instance, if x = 2, then y = 1/2*2 - 2 = -1.  Repeat this process with different x-values to plot enough points, and then connect them to draw the line written by the equation.

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Which of the following rational numbers is equal to 3 point 1 with bar over 1?

1) 22 over 9
2) 24 over 9
3) 26 over 9
4) 28 over 9

Answers

28 over 9 is equal to 3.1 with a bar over the one

Answer: Option 4 is correct.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{3.\bar{1}}{1}[/tex]

so, Let x = 3.1111......... (1)

Now, multiply by 10, we get that

10x = 31.1111.............(2)

Now, subtract (2)-(1)

[tex]10x-x=31.1111...-3.1111............\\\\9x=28\\\\x=\dfrac{28}{9}[/tex]

Hence, Option 4 is correct.

one half of a number p is at least 100

Answers

so then P could be any number greater then or equal to 200,hope this helps,please vote me brainliest


The value of p can be 200 or more than 200.

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

given:

one half of a number is at least 100.

So,

let the number be x

1/2*x= 100

x= 100*2

x= 200

Hence, the value of p ≥ 200.

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Annie earned a total of $77 for 11 hours of yard work. After doing a total of 12 hours of yard work, how much money will Annie have earned? Solve using unit rates.

Answers

the answer would be  $84. hope that helped
$77 in 11 hours
$7 per hour
$84 in 12 hours
Annie earned $84 in 12 hours of yard work.

Jordan is chopping wood for the winter. For 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of wood, and in the evening, he chops an additional 30 pieces of wood On the 11th day, Jordan chops only 5 pieces of wood. Write a numerical expression with parentheses for the total number of pieces of wood Jordan chopped.

Answers

The numerical expression with parentheses for the total number of pieces of wood Jordan chopped is (20 + 30 ) 10  + 5.

What is a numerical expression with parentheses?

In mathematics, parentheses are used to indicate a portion of an equation or expression that must be solved first before any further calculations may be made. The solution substitutes the expression in the more complex mathematical equation; the portion between the two parentheses is considered as one integer.

Given, As winter approaches, Jordan starts cutting wood. He uses the same procedure for ten days straight: He cuts 20 pieces of wood in the morning and another 30 pieces in the evening. Jordan cuts just 5 pieces of wood on the eleventh day. Hence,

Equation for 10 days = (20 + 30) * 10

Equation for 11 days = (20 + 30) * 10 + 5

Therefore, Jordan cut a total of 20 pieces of wood, which is expressed mathematically as (20 + 30) 10 + 5.

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Jenny has been saving her babysitting money for a class field trip to Washington, D.C. She wants to save $200.00 over three months. She saved $53.00 the first month and $67.00 the second month

Answers

Add the amounts for both months and subtract from whole which is 200
To estimate, $53 is about $50 and $67 is about $70 so she currently has about $120. She needs about $80 (or more) to reach her goal of $200.

To calculate this answer, you simply add $53 to $70 and get $120. You can then subtract $120 from $200 to get $80. So in the third month, Jenny must get at least $80 more dollars to get to her goal of $200. 

if Donna tool 20 minutes to read 60 pages of a 288-pages graphic novel,how long did she take to read the whole novel ,assuming that she read it all at the same rate?

Answers

Write and solve an equation of ratios:

    x            288 pages
----------  =  -------------- = 96 minutes (answer)
20 min       60 pages

Pls help me!


It takes 85 Paula of water to fill up a tank. If the capacity of each pail is 2.65 gallons, what is the capacity of the tank? Check for reasonableness of your answer!

Help and explain!
Help

Answers

You have to multiply 85x2.65 and it equals 225.25. This is the answer.

If Christine ran a mile in 5 minutes 52 seconds .how many seconds did it take her to run a mile?

Answers

352 seconds because 5×60 is 300 and 300+52 = 352

Angle x measures 110 degrees. If angle x is rotated 60 degrees what is the measure of angle x

Answers

0 degree 60 degrees 110 degrees 170 degrees

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over

Answers

Answer:

Draw out a table of the factors.

54-1,2,3,6,9,18,27,54,

42-1, 2, 3, 6, 7, 14, 21, 42

After you write out your table then find the greatest common factor. Once you find the Greatest common factor that's going to tell you how many flowers left over.

Step-by-step explanation:


Using the greatest common factor, it is found that the greatest number of identical arrangements is 6 arrangements of 9 roses and 7 tulips.

------------------------

In total, there are 54 roses and 42 tulips.To find the greatest number of identical arrangements, first we need to find the greatest common factor of 54 and 42.This is done factoring them simultaneously, while possible.

------------------------

54 - 42|2

27 - 21|3

9 - 7

Thus: gcf(54,42) = 6.

------------------------

[tex]\frac{54}{6} = 9, \frac{42}{6} = 7[/tex]

The greatest number of identical arrangements is 6 arrangements of 9 roses and 7 tulips.

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