One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle

Answers

Answer 1

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation

                      Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8


Related Questions

12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?

Answers

We know that an empty crate weighs 4.2, and the weight of each avocado is 0.3

So we can form an equation: 15.0=4.2+0.3x

(Where x is the number of avocados)

Move 4.2 to the other side as a negative

10.8=0.3x

Divide both sides by 0.3

Therefore, the amount of avocados that can be added is 36

Solve for kkk.
8(10-k)=2k8(10−k)=2k

Answers

Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]

k = 8


HELP PLS HJJHHHJJHH

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Important facts given [needed to solve]

Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68

Solving :

Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)

Interest paid

Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)

Help me please. Again?

Answers

Answer:

See attached image.

Step-by-step explanation:

Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?

Answers

Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

John was at the store and he saw his favorite video game

Answers

Answer:

That's cool

Step-by-step explanation:

Answer:

Thats cool and all but whats the wuestion

Step-by-step explanation:

A house is on a 60,000-squarefoot lot. Rounded to the nearest tenth, approximately how many acres are in the lot?

Answers

Answer:

1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.

Step-by-step explanation:

i hope that helps!!

I’ll give BRAINLIEST


Helen is N year old. Helen’s Brother is a year older than her.

a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old

Answers

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

Thanks for joining brainly community!

17,18,22,31,47, ... what's next

Answers

Answer:

Step-by-step explanation:

First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.

18 -17 = 1 = 1^2

22 - 18 = 4 = 2^2

31 - 22 = 9 = 3^2

47 - 31 = 16 = 4^2

=================

Call the number comming x.  47 taken from x must give 5^2 which is 25

x - 47 = 5^2

x - 47 = 25                        Add 47 to both sides

x  -47 + 47 = 25 + 47

x  = 72

=================

72 -47 = 25 which is 5^2.

Answer: The next number is 72

1. Oscar and Eli set up a lemonade stand. If they have prepared 2 1/2 gallons of lemonade, how many 1-cup servings can they sell? A) 10 B 20 C
40 D 80​

Answers

Answer:

40 cups

Step-by-step explanation:

There are 16 cups in one gallon. So 16 * 2 1/2 = 40

help please and ty lol

Answers

Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:


Calculate the mean, median, range, and midrange of the bus ride times for a week.

Answers

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation:

Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).​

Answers

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

How to transform the table?

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

https://brainly.com/question/4025726

In the data set below, what are the lower quartile, the median, and the upper quartile?

Answers

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

What is the Median?

The center value or middle value of a data set is the median.

What are the Upper and Lower Quartiles?

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

https://brainly.com/question/15572643

Find the value of the given trigonometric function.
cos 420°

Answers

Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So

cos(420°) = cos(360° + 60°)

cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)

cos(420°) = cos(60°)

since cos(360°) = 1 and sin(360°) = 0. Then

cos(420°) = cos(60°) = 1/2

What is the surface area of each solid pyramid? Round answers to the nearest square unit.

Please explain how to solve the problem, not just the answer.

Answers

Answer:

The total surface area is

57ft^2.

[tex]-35x^{6}=(-5x^2)(B)[/tex]

Find the missing factor of B that makes this equation true

Answers

this would be B=7x^4

A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the sample mean package weight for Thursday

Answers

Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.

What is the mean of a data-set?

The mean of a data-set is given by the sum of the observations divided by the number of observations.

For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.

Hence, the sample mean in ounces is of:

M = (18 + 19 + 20 + 19)/4 = 19.

More can be learned about the mean concept at https://brainly.com/question/24628525

Evaluate f(x + 1) when f(x) = 2:02 2c2 - 42 - 2 4x (Be sure to simplify your answer)​

Answers

f(x)=2x²-4x-2

f(x+1)

2(x+1)²-4(x+1)-22(x²+2x+1)-4x-4-22x²+4x+2-4x-4-22x²-4

Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?

Answers

Answer:

The first can.

Step-by-step explanation:
formula: Pi x diameter x height

1st can has a volume of 113.10
2nd can has a volume of 75.40

In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?

Answers

Answer:

(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)

Step-by-step explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here,  2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps

What is the value of the expression below?
(-8) 2/3

Answers

Answer:

Step-by-step explanation:

Step 1:  Multiply the numerator

[tex](-8) * 2/3[/tex]

[tex](-8 * 2)/3[/tex]

[tex]-16/3[/tex]

Answer: [tex]-16/3[/tex]

Question 13 of 14

Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]

miles on Sunday.

On which day did Phillipa ride her bicycle the most?

She rode her bicycle the most on .

Answers

Answer:

Sunday

Step-by-step explanation:

Friday  

[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles

Saturday

[18 − (2 × 4)] = 18 - (8) = 18 - 8 =  10 miles

Sunday

[20 − (5 − 3)] = 20 - (2) = 18 miles

18 > 11 > 10

Then She rode her bicycle the most on Sunday

Try:

Rereading your lessons, getting help from your tutor or others.

Answer:

Sundays

Hope this helps and don't forget to hit the thanks button! <3

Written by: RiBu

THE ANSWER IS SUNDAYS.

enter the value 2³ - 16 divided by 2 + 5²

Answers

Answer: 2^3 - 16 : 2 +  5^2 = 25/1 = 25

Step-by-step explanation:

Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25

Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.




The slope is m =
The y−intercept is b =

Answers

The slope is m = 3.5; and the y-intercept is b = -6

Determining slope and y-intercept of a Line

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589

Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?

Answers

Answer:

5.5 maybe i guess its fun


Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?

Answers

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       [tex]\frac{3}{1} =\frac{x}{44.5}[/tex]

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

NO LINKS!!

Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need? ​

Answers

Answer: Approximately 211.628311 feet of wire is needed

==========================================================

Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 78°A = 44 ftH = w

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40

Answers

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

Write the phrase “the sum of 3 times a number and 5” as a mathematical expression.

Answers

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

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