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

Convert 1.5 kg to grams

Answers

Answer:

  1500 g

Step-by-step explanation:

The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...

  1.5×(1000 g) = 1500 g

Evaluate 2x(8+4)-7
Please do some working out

Answers

Answer:

24x-7

Step-by-step explanation:

First, we distribute the 2x.

2x * 8 = 16x

2x * 4 = 8x

16x+8x-7

24x-7

This is the final result / your answer :

24x-7

Answer:

24x-7

Step-by-step explanation:

1. Add 8 and 4, this leaves us with 2x(12)-7

2. Multiply 12 and 2. This leaves us with 24x-7

joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces.How many fluid ounces of water does he drink each day?

Answers

Question:

Joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces. How many fluid ounces of water does he drink each day?

What were being asked:

How many fluid ounces of water does he drink each day?

Answer:

The answer is

64 fluid ounces

Step-by-step explanation:

1 cup of water = 8 fluids.

8 cups of water x 8 fluids = 64 ounces

Therefore, your answer is 64 fluid ounces.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/18/2022 at 4:08 PM

(To avoid plagarism, by users whom decide to copy.)

noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much money does noah have left?

Answers

$56
47 + 36 + 27 = 110
110 - 18 - 36 = 56

6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?

Answers

Answer:

5 hours

Step-by-step explanation:

The question is

The tourists walked a distance of 22 km during a day.

The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.

What was the total time they walked.

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

Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance

3*4 + t*5 = 22

Solve for t

12 + 5t = 225t = 22 - 125t = 10t = 2

The total time was

3 + 2 = 5 hours

b – 12 = 36

A.b = 34
B.b = 48
C.b = 26
D.b = 28

Answers

Hey there!

Answer:

B)b = 48

Explanation:

[tex]48 - 12 = 36[/tex]Hope it helps

Juma bought a geometry set at sh 2000 and later sold it at sh 2500. find his percentage profit​

Answers

given:

bought price= 2000

sold price= 2500

to find:

the percentage profit

solution:

[tex]profit\% = 100 \times \frac{(final - initial)}{initial} [/tex]

[tex]profit\% = 100 \times \frac{(2500 - 2000)}{2000} [/tex]

[tex] = \frac{(2500 - 2000)}{2000} [/tex]

[tex] = \frac{1}{4} [/tex]

[tex] = \frac{1}{4} \times 100\%[/tex]

[tex]profit\% = 25\%[/tex]

therefore, his percentage profit is 25.

The function below describes the total cost, y, of a hamburger with a toppings on it.
y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.

Answers

Answer:

O The cost of the hamburger will increase by $1.40 per topping.

Step-by-step explanation:

y = 1.90 + 1.40x→ $1.90 is the fixed cost of the hamburger→ $1.40 is the price per topping and it will increase as the slope of the function/graph is positive⇒ Option 3

Answer:

The cost of the hamburger will increase by $1.40 per topping

Step-by-step explanation:

Given equation:

y = 1.90 + 1.40x

where

y = total cost of hamburgerx = number of toppings

The slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).

Rearranging the given equation to this form:  y = 1.40x + 1.90

Therefore, 1.40 is the slope and 1.90 is the y-intercept.

The slope is the rate of change.  This is the amount by which y will change with respect to changes in x.  The slope is positive, so as x increases, y will increase.  

Therefore, the cost of the hamburger will increase by $1.40 per topping.

What is the value of z?

Enter your answer in the box

Answers

Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

I need help look at the picture attached

Answers

Answer:

340.8 m

Step-by-step explanation:

Find the area of rectangles:

15 x 8 = 120

6x8=48

16x8=128

Find area of triangle:

1/2 5.6 x 16 = 44.8

Add together:

120 + 48 + 128 + 44.8 = 340.8 m

Hope this helps :)

Please help! First answer correct BRAINLIEST

Answers

Answer:

8.......................

Step-by-step explanation:

It's clear that the figure is rhombus (because diagonals make right angle).

Rhombus area formula: (AC×BD)÷2

So if we have area and one diagonal then it's easy to find another diagonal.

S=AC×BD÷2

14.5×BD÷2=58

14.5BD=58×2

14.5BD=116

BD=116÷14.5

BD=8

what is the circumference of a circle with a diameter of 7 in

Answers

Answer:

22 inches

Step-by-step explanation:

Given:

Diameter - 7 inches Radius  - 3.5 inches

Circumference of circle = πd , where d is the diameter of a circle.

= 22/7  * 7 inches

Circumference = 22 inches

 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?

Answers

Answer:

Step-by-step explanation:

N 32 players

Q1. 12 onces bottles

Q2. 1.152 onces water

N bottle?

1.152/12= 96 (number of bottles)

96/32=3 (number por player)

if the tempture is 39.2 degrees F what would the tempture be in celsius

Answers

Answer:

4 degrees celsius

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values in the formula :

Refer the attachment.

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

What is the distance between the pair of points?

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ3

help me guys pls pls pls​

Answers

1. 75

2. 75

3. 900

For the first one, add 10 + 15, then times it by 6 (the height). Finally, divide by 2. Base + base times height divided by 2.


The second one, do 15 x 10, then divide by 2. Base x height divided by 2

Finally, the last one do 36 x 35. Base x height.
The correct are


1) 68.1795
2) 75
3) 900

A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.

Answers

Answer:

there are three outcomes

Step-by-step explanation:

three colours= three outcomes

don't have a diagram

What is 24% of 234 and it has to be 20 characters long

Answers

Answer:

56.16

We need to determine 24% of 234 now and the procedure explaining it as such

Step 1: In the given case Output Value is 234.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 234 = 100%.

Step 4: In the Same way, x = 24%.

Step 5: On dividing the pair of simple equations we got the equation as under

234 = 100% (1).

x = 24% (2).

(234%)/(x%) = 100/24

Step 6: Reciprocal of both the sides results in the following equation

x%/234% = 24/100

Step 7: Simplifying the above obtained equation further will tell what is 24% of 234

x = 56.16%

Therefore, 24% of 234 is 56.16

please mark it Brainiest answer

-x^2+16x+64=0 need to know using quadratic formula to find the zeroes

Answers

Answer:

[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]

Step by step explanation:

[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]

2/(p+1)- 1/(p+1)+4/(1-p^2)

Answers

Answer:

(5-p)/(p+1) (1-p)

Step-by-step explanation:

2/(p+1) -1/(p+1)+4/(1+p)(1-p)

{2(1-p)-(1-p)+4}/( p+1) (1-p)

on solving we get

(5-p)/(p+1 )(1-p)

Chapter 5 how are integers and absolute value used in a real-world situations?

Answers

In real-world situations, we may choose to describe values using either negative numbers or the absolute values of those numbers, depending on the wording you are using. For example, if we have a balance of -$35 dollars in an account, we may also choose to represent that as a debt of $35.

Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.

Answers

Answer:

make it clearer

Step-by-step explanation:

For which values of x is the expression undefined

Answers

Answer:

x = -7

Step-by-step explanation:

Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:

x + 7 = 0

x = -7

At x = -7, this expression is undefined.

I hope this helps!


bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.

Answers

Answer:

C) 36 inches

Step-by-step explanation:

Let the diagonal be the hypotenuse and use Pythagoras' Theorem:

[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]

So, the length of the TV was 36 inches.

please help, there is a picture.

Answers

Answer:

B (2.5, -0.5)

Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.

Answers

Answer:

the function has vertical asymptotes when x = 0 and x = 4

Step-by-step explanation:

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is .

Answers

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

Suppose that the first four moves of a tic-tac-toe game are as shown.

Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)

Answers

The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

Why is this a winning strategy?

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.

Step-by-step explanation:

The first player has two possible winning moves.

1. Middle right box

Regardles the next move the first player has one of the two options next: middle left or bottom right box

2. Bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box

can someone help me with this and i have more of these i need help on

Answers

Answer:

Square

Step-by-step explanation:

Hope this helps!

Answers:

Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) Triangle

In other words, it's nearly everything except choice C (octagon).

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

Explanation:

Search out "Cross sections of a cube" and you'll see visual examples of what is possible.

Here are the list of possible cross sections

SquarePentagonTrapezoidHexagonRectangleTriangle

A parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.

Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.

4x+11y=7

4x+3y=-1
what are the steps

Answers

Answer:

x = -1, y = 1

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]

Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]

Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:

[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]

Drop Down to:

[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]

Isolate y for 7-8y = -1: y = 1

Thus, [tex]x=\frac{7-11y}{4}[/tex]

Substitute y = 1

Hence,

[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]

Solution ⇒ x = -1 and y = 1

~learn with lenvy~

Answer:

x = -1 , y = 1

Step-by-step explanation:

Starting with x

x = 7 - 11y/4

4 × 7-11y/4 + 3y = -1

7 - 8y = -1

Now for y

7-8y = -1 ⇒ y = 1

Hence, x = -1 and y = 1

[RevyBreeze]

Other Questions
How can you get a real gas to behave like the LEAST like an ideal gas (minimize attraction between particles)? The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t. which statement describes the situation modeled by this system? startlayout enlarged left-brace 1st row h = 35 minus 16 t squared 2nd row h = 6 18 t 16 t squared endlayout the height of the baseball is 18 feet at the moment the player begins to leap. the height of the baseball is 16 feet at the moment the player begins to leap. the height of the baseball is 35 feet at the moment the player begins to leap. the height of the baseball is 6 feet at the moment the player begins to leap. +Sasha earns $10,50 per hour ather job. She deposits everything she earns intoher savings account. She currently has $150 inhis savings account. Jack earns $9.00 per hourat his job. He deposits everything he earns intohis savings account. He currently has$300 in his savings account.What month will both Sasha and Jack have thesame amount of money in their account?Plssssss helpp me divide 48 into the ratio 2:4 Is the graphed function linear?Yes, because each input value corresponds toexactly one output value.Yes, because the outputs increase as the inputsincreaseO No, because the graph is not continuous.No, because the curve indicates that the rate ofchange is not constant 3(08.01)Line M is represented by the following equation: x - y = 8Which equation completes the system that is satisfied by the solution (18, 10)? (4points)1) 2x - y = 262) x + y = 183) 2x - 2y = 3604) x - y = -28 What was the populist movement where did it come from and why? A gas tank holds exactly 14 gallons of gas. if the tank is 2/3 empty, how many gallons remain in the tank? (help!) BRUTUS. He is not doubted.A word, Lucillius.How he received you let me be resolved.LUCILLIUS. With courtesy and with respect enough,But not with such familiar instances,Nor with such free and friendly conference,As he hath used of old.BRUTUS. Thou hast describedA hot friend cooling. Ever note, Lucillius:When love begins to sicken and decayIt useth an enforcd ceremony.There are no tricks in plain and simple faith;But hollow men, like horses hot at hand,Make gallant show and promise of their mettle;But when they should endure the bloody spur,They fall their crests and, like deceitful jades,Sink in the trial. Comes his army on?The Tragedy of Julius Caesar,William ShakespeareHow does Lucillius, a minor character in the play, help advance the plot in this passage?Lucillius is protective of Cassius so he diminishes the seriousness of the conflict.Lucillius tells Brutus that Cassius intends to attack Brutus, increasing the tension and conflict.Lucillius does not tell Brutus much about Cassius, which causes Brutus to question the loyalty of Lucillius.Lucillius explains that Cassius is far less frlendly than he once was, and Brutus uses the information to confirm his judgement that Cassius is turning against him. Mrs Silverstein has 14 boys and Il girls in herclass. She must select two students at random toserve as the class presidents What is theprobability that she will choose a boy followed by agiri? 35 Points Mark Brainliest Help Please help guys love you What is the slope of the line that passes through (9,3) and (2,1) Past experience shows that Mr.Reisman will have 3 left-handed students in ever class of 25 math students. If Mr.Reisman teaches 125 students in one day, what is the most likely total number of left-handed students in his classes? Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}? Why was the Battle of Midway a turning point in WW2? 1. Suppose three companies A, B and C dominate the market for a certain product and arecompeting against each other for a large share of the market. Currently company A has 2/9 of themarket, company B has 4/0 of the market and company C has 1/3 of the market. The marketsurvey indicates that every 6 months Company A retains of its customer and loss 1/6 tocompany B and 1/12 to company C. Company B retains 12 of its customers and loss 1/3 tocompany A and 1/6 to company C. Company C retains 3/8 of its customers and loss A tocompany A and 3/8 to company B. Find the market share of each company in the long run isabout How did social classes contribute to the French Revolution? What is the root of 12x=9+5x2 I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.