The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.

What is the width of the rectangle?



2 cm

6 cm

8 cm

10 cm

Answers

Answer 1
Area =72 sq. cm

length = x+6

Width = x

l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6

since width can't be negative , the answer is x=6.

therefore, the width is 6cm
Answer 2

Answer:

6cm

step-by-step explanation

just dived each number bye 72 to find 12 witch we would get 6cm


Related Questions

What is the domain of the inverse of a relation?

Answers

the domain is the space between the end points on the x axis
ex: D:-2(<=)x(<=)4 this means that the domain is any numbers between -2 and 4
if say a relation has a value pairs of say 

(a,b),(c,d),(e,f),(g,h),(i,j)

the the value pairs for its inverse will be

(b,a),(d,c),(f,e),(h,g),(j,i)


notice, is the same pair, but flipped sideways.

and of course, the domain is the set of the x-values or the x-coordinate or the first value of each pair, as you already should know.

How do you solve -2(6x+3)=-27–5x ?

Answers

Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)

Amanda drove 355 miles using 17 gallons of gas. At this rate how many gallons of gas would she need to drive 284 miles?

Answers

355 miles/17 gallons ≈ 20.88 miles per gallon
284 miles ÷20.88= 13.6 gallons needed

The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?

Answers

density = mass/ volume

volume = mass/ density

volume = 5625 / 15 = 375 cm^3


volume = l x w x h

375 = 5 * 3 * X

375 = 15

x = 375/15 = 25

height = 25 cm

The height of the object is 25 cm and this can be determined by using the formula of density and volume.

Given :

The density of an object can be calculated by dividing the object's mass by its volume.A rectangular prism has a density of 15g/[tex]\rm cm^3[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm.

The height of the object can be determined by using the formula of density. The formula of density is given by:

[tex]\rm d = \dfrac{m}{V}[/tex]

where d is the density, m is the mass, and V is the volume.

Now, substitute the known terms in the above formula.

[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]

Now, the volume of an object is given by:

[tex]\rm V = l \times w\times b[/tex]

Now, substitute the known terms in the above formula.

375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h

h = 25 cm

For more information, refer to the link given below:

https://brainly.com/question/6034174

3x - 24= -6 solve for x

Answers

3x-24=-6 . Add 24 to both sides, so that leaves you with 3x=18. Divide by 3 on both sides, and x=6

Can the following question be considered a statistical question and why or why not? Do students at Bryan Middle School exercise?

Answers

Answer:

this is a multiple choice question with 4 answers

Yes, it specifies the population

No, it does not specify the population

Yes, it anticipates enough variability in responses

No, it does not anticipate enough variability in responses

I think the answer is.......... (Drum roll please)........... D.

Step-by-step explanation:

There is not any variability in this question it is just a yes or no question. If the question was "How long does an average person exercise for "

Show all work please!!!!!!

1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?

2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?

3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).

Answers

The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
    (0+2)/2 = 1
     (2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
     sqrt of (7 -1)^2 + (-7 - 1)^2
     sqrt of (6)^2 + (-8)^2
     sqrt of 36 + 64
     sqrt of 100
     10

Hope this helps!

For a percentage increase of 36%, state the multiplier

Answers

if we had x and increased it by 36%, we would get

x+0.36x
1x+0.36x
if we undistribute x then
x(1+0.36)
1.36x

the multiplier is 1.36

Is 5.78778778 a rational or irrational number? Explain

Answers

Hello There!

It is rational as it can be written as a fraction and had a pattern to it.

Hope This Helps You!
Good Luck :)

The number 5.78778778 is a rational number because it has a repeating decimal pattern that can be expressed as the fraction 573/99.

The number 5.78778778 is a rational number. Rational numbers are those that can be expressed as a fraction where both the numerator and the denominator are integers.

In this case, the number 5.78778778 has a repeating decimal pattern, which is a hallmark of rational numbers.

We can convert this repeating decimal into a fraction by setting it equal to a variable, say x, subtracting a shifted version of x to isolate the repeating part, and then solving for x to find its fractional equivalent.

If we perform this process, we can turn 5.78778778... into a fraction. For example:

→ Let x = 5.78778778...

→ Multiply both sides of the equation by 100 to shift the decimal two places: 100x = 578.78778778...

→ Subtract the original x from this new equation: (100x - x) = (578.78778778... - 5.78778778...)

→ This simplifies to 99x = 573

→ Divide both sides by 99 to solve for x: x = 573/99

→ This fraction represents the decimal number 5.78778778..., confirming it is rational.

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?

1 mile 1,609 meters

Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help

Answers

The answer is 
(D) Talia swims about 1.5 miles per hour faster than Alina.

Answer:  

Talia swims about 1.5 miles per hour faster than Alina.

Step-by-step explanation:

Since, 1 miles = 1609 meter and 1 hour = 60 seconds,

⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]

⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]

Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600

[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]

[tex]=1.11736111\text{ meter per seconds}[/tex]

And, the speed of Talia = 1.8 meter per second,

Since 1.8  > 1.11736111

⇒ Talia swims faster than Alina.

And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds

= 0.68263889× 3600/1609 miles per hour

= 1.52734618 miles per hour ≈ 1.5 miles per hour ,

Fourth option is correct.

What is −20÷45 ?−25−16−116−125

Answers

-20÷45= -.4444444444 (repeating)
-25-16-116-125=-282

Its -25 i just did the test


The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length and the width of the parallelogram

Answers

the length would be 26 and the width would be 16.
L = length
w = width
p = perimeter

p=72

2L+2w=72

L=w+4

2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16

2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26

w = 16
L = 26

Answer:

Length is 20 meters and width is 16 meters.

Step-by-step explanation:

Given: Perimeter of parallelogram is 72 meters.

            Width of the parallelogram is 4 meters less than its length.

To find: Length and width of the parallelogram.

Solution: Let the length of the parallelogram be x meters. So, width of the parallelogram is [tex]x-4[/tex] meters.

As per question,

[tex]x+x+x-4+x-4=72[/tex]

[tex]4x-8=72[/tex]

[tex]4x=72+8[/tex]

[tex]4x=80[/tex]

[tex]x=\frac{80}{4}[/tex]

[tex]x=20[/tex]

Hence, length of the parallelogram is 20 meters, and width of the parallelogram is [tex]20-4=16[/tex] meters.

A car dealership increased the price of a certain car by 13% . The original price was $41,200

Answers

there r 2 ways to do this...

(1) 41,200 + 0.13(41,200) = 41,200 + 5356 = 46,556 <=
or
(2) 41,200 * 1.13 = 46,556 <=

I need the answer Algebra question

Answers

He had 32 dollars at the beginning of the day

Answer: $32

Step-by-step explanation:

add 7+9+12+4 =32

A garden table and a bench cost $1025 combined. The garden table costs $75 more than the bench. What is the cost of the bench?

Answers

g=garden table
b=bench

g+b=1025
g=75+b
subsitute
75+b+b=1025
75+2b=1025
minus 75 both sies
2b=950
divide both sides by 2
b=475

the bench costs $475

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
enough information is given, write not enough information.

Answers

Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

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

Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

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

Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

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

Question 11d)

We do not have enough information to tell whether this shape congruent or not

Answer: on d. it's, you

weren;t given enough information

Step-by-step explanation:

ur welcome.

What is the vertex of the graph of the function below? y = x2 - 4x + 3

Answers

here's a nice hack

if you have [tex]y=ax^2+bx+c[/tex]
the x value of the vertex is [tex]\frac{-b}{2a}[/tex]

fo if we have
[tex]y=1x^2-4x+3[/tex]
b=-4
a=1

the x value of the vertex is
[tex]\frac{-(-4)}{2(1)}=\frac{4}{2}=2[/tex]
subsitutie that for x to find y value

[tex]y=1(2)^2-4(2)+3[/tex]
[tex]y=1(4)-8+3[/tex]
[tex]y=4-5[/tex]
y=-1


the vertex is (2,-1)
Final answer:

The vertex of the function y = x2 - 4x + 3 is at (2,-1). You can find this by using the formula -b/2a for the x-coordinate of the vertex and then substituting this x-value into the original equation to find the y-coordinate.

Explanation:

The function you are asking about, y = x2 - 4x + 3, is a quadratic function, and the graph of a quadratic function is a parabola.

The vertex of this parabola can be found using the formula -b/2a for the x-coordinate and then substituting this value into the original equation to find the y-coordinate. For this function, the coefficients a and b (from the general form ax2 + bx + c) are 1 and -4 respectively. Using the formula, the x-coordinate of the vertex is -(-4)/2*1 = 2. We then substitute x = 2 into the original equation to find y = (2)2 - 4*(2) + 3 = -1. Thus, the vertex of the function y = x2 - 4x + 3 is at (2,-1).

Learn more about Vertex of a Quadratic Function here:

https://brainly.com/question/11258039

#SPJ3

He sum of three consecutive integers is −369−369. find the three integers.

Answers

n + (n+1) + (n+2) = -369
3n + 3 = -369
3n = -366
n = -122

so the three consecutive integers are : -124 ; -123 ; -122

what is (4−5y)−2(3.5y−8)?
Thank you!!

Answers

-5.2y is what i got by simplifying it


(4-5y)-(7y-16)
(4-5y)-7y-16
4-5y-7y-16
4-12y-16
-12y-12

Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Answers

- Julie weighs 35 lbs
- Mike weighs 105 lbs
- Ted weighs 70 lbs
In this problem, Julie is the basis for figuring it out.

J = Julie's Weight

Ted = 2j
Mike = 3j

2j + 3j + j = 210 or 6j

210 ÷ 6 = 35

With this, we know Julie's weight. Also, that she might as well be skin and bones.

35 × 2 = 70

35 × 3 = 105

105 + 70 + 35 = 210

Julie's Weight = 35 lbs.
Ted's Weight = 70 lbs.
Mike's Weight = 105 lbs.

Gabrielle's age is three times Mikhail's age. The sum of their ages is 32 . What is Mikhail's age?

Answers

g + m = 32
g = 3m

3m + m = 32
4m = 32
m = 32/4
m = 8 <=== Mikhail's age

g = 3m
g = 3(8)
g = 24 <== Gabrielle's age

g + m = 32

g = 3m

3m + m = 32

4m = 32

m = 32/4

m = 8  (Mikhail's age)

g = 3m

g = 3(8)

g = 24 (Gabrielle's age)

how can you discover a person's age by year?

:To find out a person's age, all you need is that person's 12 months of beginning. After this, all you want to do now's subtract the beginning 12 months from the continuing modern year and you will have the age. this can help you to calculate the age from the date of delivery. Age= 2020- 1966 = 54.

How do you calculate age in mm dd yyyy?

Your age in the total range of days is calculated as a variety of years, x, with twelve months = 365x plus. a number of years, y, with three hundred and sixty-six days = 366y plus. a number of days in the remaining partial yr.

Learn more about a person's age by year here: https://brainly.com/question/12397063

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What's the answer to 3/2(16n+3)=24n

Answers

N is equal to negative 4

3 times 2 IS 6
Take 6 times 16n then take 6 times 3
Now you have 96n plus 18 equals 24n
Subtract 96n from both sides
18 equals negative 72n
Divide both sides by 18 you get 4 now u can't have a negative n so divide each by a negative so now u have n equals -4

The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.

causation



correlation



association



no relationship

Answers

Final answer:

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.

Explanation:

The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.

Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.

For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.

The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.

The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.

For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.

It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.

Is the number x positive? (1) on the number line, 0 is closer to x – 1 than to x. (2) on the number line, 0 is closer to x than to x + 1?

Answers

(1) on the number line, 0 is closer to x – 1 than to x

x is positive, let x = 5, then x-1 = 5-1 = 4, then zero is close to 4 than 5

-------------------------.------------------------.-----------------------

(2) on the number line, 0 is closer to x than to x + 1

x is positive, as zero is close to 5 than 5+1=6



I hope that helps!




In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't understand

Answers

a is independent while b is dependent.

This is because b is equal to a decreased by 2. Anytime a changes, then b does as well. B can only change in accordance with a.

How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent

Answers

[tex]\bf \qquad \textit{Continuously Compounding Earned Amount} \\\\ A=Pe^{rt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$400\\ r=rate\to 9\%\to \frac{9}{100}\to &0.09\\ t=years\to &3 \end{cases} \\\\\\ A=400e^{0.09\cdot 3}[/tex]

notice, "e" is the Euler's constant, and yes, is on your calculator.

A square piece of cloth, which is 10 meters on a side, is cut across the diagonal to form two right triangles. What is the length of the diagonal cut?

Answers

A² + B² = C²
So 10² + 10² is 200
The square root of 200 is about 14.14
10² + 10² ≈ 14.14²

Hope that helps :)

Answer:

D

Step-by-step

The answer is the square root of 288

really need a answer and explanation for this

Answers

Plugging x in, we get -3(-3)^2+7. -3*-3=9, so we have -3*9+7=-27+7=-20

For each handmade greeting card jacqui sells, she makes a profit of $0.35. In one week , she made a profit of $42 .she sells the cards for $0.75 each.

Part A: About how much did she earn before paying expenses?

Answers

 earn before paying expenses  <---- Revenue = price * quantity

so, how many did she sell?  well, we know she makes a profit of 0.35 for each, and in that week, she made a total profit of 42 bucks, so she sold 42/0.35 or 120 greeting cards.

quantity = 120
price     = 0.35

Revenue = price * quantity.  <---- that's how much she earned before expenses.

Answer:

$ 90

Step-by-step explanation:

Given,

The profit in each card = $ 0.35,

If she sold x cards,

Then the total profit she earned = profit in each card × number of cards

= 0.35x dollars,

According to the question,

0.35x = 42

[tex]\implies x = \frac{42}{0.35}=120[/tex]

Thus, she sold 120 cards,

Now, if the selling price of each card = $ 0.75,

Hence, total earning before paying expenses

= selling price of each card × total cards

= 0.75 × 120 = $ 90

An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Round the answer to the nearest whole number of metres.

Answers



Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.

The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps------------- x
x=(10 laps * 80π m) / 1 lap=800π m

Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days---------------- x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m

Solution: 12566 m

Hope This Helps!!
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