A rectangle is drawn so that the width is I feet
shorter than the length. The area of the rectangle
is 12 square feet. Find the length of the
rectangle,

Answers

Answer 1

Answer:

Length = 4 feet

Step-by-step explanation:

Let the length of a rectangle be x.

Width is 1 feet shorter than the length, b = x-1

The area of the rectangle is 12 sq feet.

The area of a rectangle is given by :

A = length × width

So,

[tex]x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4[/tex]

Neglecting the negative side, the length of the rectangle is equal to 4 feet.


Related Questions

ONE PUNCH!
(Three! Two! One! Kill shot!)
Appearing! Certain victory! The strongest of all time!!
What're you saying? FRUSTRATION, nobody can stop me
ONE PUNCH! It's over! One victory after another!
I shout out!! I'm always victorious!! Total victory!!

Power! Get the power! Right up to the limit

HERO, I don't want voices praising me or an ovation
HERO, so I fight against evil in secret
(Nobody knows who he is.)
Foes are closing in and covering the sky. I won't turn my back on them
If I am a HERO, then I'm prepared with unwavering resolve, unleashing my fist

(Three! Two! One! Fight back!)
Appearing! Go on! Fair and square!!
What's going on? I can't feel a thing, my opponents are all gone!

JUSTICE! Enforcement! No point arguing about it!
I'll cut it off!! Cut off evil!! Hands together in prayer!!

Power! Get the power! ADRENALINE's overflowin'!
Power! Get the power! Strike with force with my disciplined technique!

HERO, even the strongest guys used to be tiny brats
HERO, I overcome my weaknesses and become stronger
(Nobody knows who he is.)
I just raise my fists, with the gods dwelling in them, and push onward
HERO, until I taste the dirt of defeat some day, a fighting HERO

I won't give up; I picture the future in my heart
I awaken and go to the world now, soaring high and strong
At all times, no matter what happens

HERO, I don't want voices praising me or an ovation
HERO, so I fight against evil in secret
(Nobody knows who he is.)
I just raise my fists, with the gods dwelling in them, and push onward
HERO, until I taste the dirt of defeat some day, a fighting HERO
A lonely HERO

I wanna be the strongest HERO!

Answers

Answer:

man haha, not me stalking ur page

Step-by-step explanation:

thanks again for the points, IM TAKING THEM >:D

5 Gatos comen 30 ratones en 15 minutos.¿ Cuantos Ratones Comeran 7 gatos en 12 minutos?​

Answers

Answer:

42 ratones

Step-by-step explanation:

Los gatos comen 6 ratones cada 5 minutos. Aplicar esto a 7 y 7x6 = 42. Perdón por el mal español

A bakery offers a sale price of $2.60 for 4 muffins. What is the price per dozen?

Answers

Answer:

31.2

Step-by-step explanation:

2.60 times 4 is 10.4.

4 times 3 is 12

10.4 times 3 is 31.2

Answer:

Hello!

A dozen muffins would cost $7.80

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

So if you took for muffins the price would be $2.60 But thats not a dozen

Dozen = 12 muffins

So for 12 muffins you  would have to take 4 muffins times 3 (4x3=12)

So to find the price you need to do $2.60 x 3 and you would get $7.80

Hope I helped!

Step-by-step explanation:

            May I have brainliest I'm trying to level up!

                      </3 PureBeauty



The starting temperature of the

mixture is 20.2°C.

You heat the mixture.

The temperature changes by 22.5°C.

What is the new temperature of

the mixture?

Answers

Answer:

it is 20.9 C

Step-by-step explanation:

there

6) A jet travels 480 miles in 2 hours. At this rate, how far could the jet fly in
8 hours? What is the rate of speed of the jet?

please help me!

Answers

I need help on this too

Answer:

1,920 is how far the jet travels in 8 hours, the rate of the jet is 240 meaning it would travel 240 miles in 1 hour,

Make 1/5 a fraction with a denominator of 45

Please show work

12 points

Answers

To make the denominator (5) 45, you need to multiply it by 9. If you multiply the denominator by 9, you also have to multiply the numerator by 9.

Therefore 1/5 = 9/45

Step-by-step explanation:

1/5

45÷5=9

so if 9 ×5 is 45 we need to times the whole fraction by 9.

1/5 ×1/9=1/45

hope this helps

on monday ashia spent 5/6 of an hour praticing for 2/3 of an hour which equation shows corectly how much longer she on moday than on tuseday

Answers

Answer:

1/6

Step-by-step explanation:

2/3 x 2/2 = 4/6

5/6 - 4/6 = 1/6

She spent 1/6 of an hour longer practicing on Monday.

I knw don't know how to make

Answers

Answer:

Step-by-step explanation:

4 1/4 - 2 1/3 =
Sorry I’m no good with fractions

Answers

Answer:

1 11/12 should be the answer!

Answer:

1 11/12 or 23/12

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine :)

A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The nightly sleep times were distinctly non-normal with a mean of 10 hours and a standard deviation of 2 hours. Suppose we take a random sample of 100 nightly sleep times from this population. We can assume that the times in the sample are independent. What is the probability that the mean of these 100 sleep times is farther than 0.4 hours away from the population mean?
a) 0455
b) .02
c) 1
d) .02275

Answers

Answer:

.05

Step-by-step explanation:

Khan

Using the normal distribution and the central limit theorem, it is found that the probability that the mean of these 100 sleep times is farther than 0.4 hours away from the population mean is:

a) 0.0455

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n, as long as n > 30, is approximately normal and has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

Mean of 10 hours, hence [tex]\mu = 10[/tex].Standard deviation of 2 hours, hence [tex]\sigma = 2[/tex].Sample of 100, hence [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex].

We want the probability that the mean is farther than 0.4 hours away from the population mean, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{0.4}{s}[/tex]

[tex]Z = \frac{0.4}{0.2}[/tex]

[tex]Z = 2[/tex]

The probability is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.

Z = -2 has a p-value of 0.0275.2 x 0.0275 = 0.0455

Hence, option A is correct.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

The price of gas started at 2.30 per gallon and increased at a rate of 5% per year what is the function ? How much will gas be in 4 years?

Answers

it will be 2.5 5 times 4 plus 2.3

What is the sum of this sequence

1 + 2 + 3 + 4 + ... + 1002

Answers

Answer:

502,503

Step-by-step explanation:

Using Summation formula for 1 and 1 to N number

[tex]S=\frac{n(n+1)}{2} \\S=\frac{1002(1003)}{2} \\S=502,503[/tex]

The picture has the question. Can someone plz help me?

Answers

Answer:

He will need 168 square feet. I think.

Step-by-step explanation:

Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-5x+12=5x+12−5x+12=5x+12minus, 5, x, plus, 12, equals, 5, x, plus, 12

(Choice B)
B
-5x+12=5x-5−5x+12=5x−5minus, 5, x, plus, 12, equals, 5, x, minus, 5

(Choice C)
C
-5x+12=-12x-12−5x+12=−12x−12minus, 5, x, plus, 12, equals, minus, 12, x, minus, 12

(Choice D)
D
-5x+12=-5x-12−5x+12=−5x−12

Answers

Choice a I think not sure help it help

Answer:

B, C, D

I Just Did It On Khan Academy

Step-by-step explanation:

The number of bees in a hive doubles every year. A farmer starts a hive with 100 bees. After y years, the hive will contain B bees, where B = 100 · 2ʸ. How many bees will be in the hive after 3 years, assuming the hive continues to grow at this rate? (Answer must be in a complete sentence). *

Answers

Answer:

800 bees.

Step-by-step explanation:

If he starts with 100, after a year, it's 200, after another year, it's 400, and after a third year, it's 800.

It will be 800 bees in the hive after 3 years, assuming the hive continues to grow at this rate.

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We are given that number of bees in a hive doubles every year. A farmer starts a hive with 100 bees.

After y years, the hive will contain B bees, where;

B = 100 · 2ʸ.

Therefore, after 3 years,  it will be;

B = 100 · 2³

B = 100 x 8

B = 800

Hence, It will be 800 bees in the hive after 3 years, assuming the hive continues to grow at this rate.

Learn more about exponentiation here:

https://brainly.com/question/26938318

#SPJ2

Anna, Bertie and Carl share £135 in the ratio 5 : 4 : 6.

How much does Carl get?

Answers

Answer:

Anna gets £45, Bertie gets £36 and Carl gets £54

Step-by-step explanation:

→ Add the ratios together

5 + 4 + 6 = 15

→ Divide the amount by the total of ratios

135 ÷ 15 = 9

→ Multiply 9 by each part of the ratio

Anna = 5 × 9 = £45

Bertie = 4 × 9 = £36

Carl = 6 × 9 = £54

A container is 8/9 kg of berries is 2/3 full, how many kg can the container hold

Answers

Answer:

1.33kg of berries

Step-by-step explanation:

A container is 8/9 kg of berries is 2/3 full, how many kg can the container hold

2/3 of a container = 8/9kg

To get the amount of kg the container can hold, we will write;

1 container = x kg

Divide both expressions

2/3 = 8/9x

Cross multiply

2 * 9x = 3*8

18x = 24

x = 24/18

x = 1.33kg

Hence the container will hold 1.33kg of berries

3,456 squared divided by 455=?
Plz help me.

Answers

Answer:

26250.4087912

Step-by-step explanation:

I squared 3,456 by 3,456x3,456 then i divided the answer by 455

Answer: 455/69312

Hope this helps.

help me please will give brainliest​

Answers

answer: Y = 6 + 8

i hope this helps luv ❤️ have a great day!!! :)))

Translate and solve:17.433 is what percent of 14.9

Answers

Answer:

117%

Step-by-step explanation:

17.433=x/100(14.9)

1743.3/14.9=x

117

integers

(4×5)-10-2(1-2)+5​

Answers

Answer:

12

Step-by-step explanation

PEMDAS is key to solving. First you multiply 4*5 because its the first parenthesis we see, to get 20. Next we see that 1-2 is in a different parenthesis, so we get -2. So our current equation is 20-10-2-1+5. You just add/subtract in that order. 20-10=10 10-2=8 8-1=7 7+5=12 So your final answer is 12.

Evaluate the expression.

Answers

Answer:  13

Step-by-step explanation:

A set of exam marks has mean 70 and median 65 marks. It is decided to subtract 10 from all the marks. For the new set of marks, what is the median?

Answers

Answer:

For the new set of marks, the median is of 55

Step-by-step explanation:

The median is the halfway point of a dataset, that is, the value that separates the lower 50% of the data set from the upper 50%.

In a data set, if we subtract or add all marks by x, the median will be subtracted or added by x.

In this question, we have that:

Median 65

From all marks, 10 is subtracted.

So, for the new set of marks, the median is of 65 - 10 = 55

Find three consecutive integers such that the sum of twice the second integer and 4 times the third integer is two less than seven times the first integer.

Answers

Answer:

12,13 and 14

Step-by-step explanation:

Let the three consecutive integers be n, n+1 and n+2

ATQ,

The sum of twice the second integer and 4 times the third integer is two less than seven times the first integer.

[2(n+1)+4(n+2)] = 7n-2

or

2n+2+4n+8=7n-2

Taking like terms together,

6n-7n = -2-8-2

n = 12

So,

First integer = 12

Second integer = 12+1 = 13

Third integer = 12+2 = 14

Hence, three consecutive integers are 12,13 and 14.

Which ratios form a proportion?

4/11 and 6/13
4/10 and 10/25
3/5 and 9/25
4/9 and 9/4

Answers

Answer:

Step-by-step explanation:

Now, in order for it to be a proportion, both the number and the denominator must turn to the other number by the same method. I'll clarify when we do the steps.

So, the first one is 4/10 and 10/25

The first thing that you would do is divide 10 by 4, and then 25/10

When you do that, it turns out that they both equal 2.5. This means that both the number and denominator go to the new number with the same method, multiplying by 2.5

So, the answer would be A

??????????????????FAST HELP PLZ

Answers

Answer:

[tex]y = \frac{2}{3} x - 2 \\ [/tex]

I need help ASAP please giving brainliest!

Answers

900. It estimates bc one is like 288 and one is like 624 or sum.

It takes 50 pounds of seed to completely plant a 6-acre field. How many acres can be planted per pound of seed?

Answers

To find out how many acres can be planted by a pound of seed divide 50 by 6 and the quotient is 8.33 acres.

write the equation that describes the line in slope-intercept form. slope = 5 point (2,-4)
PLEASE HELP!!!

Answers

Answer:

y = 5x - 14

slope intercept form is y = mx + b

m = slope

after substituting 5 in for m you end up with y = 5x + b

you substitute (2, -4) for x and y

-4 = 5(2) + b

next step is to solve for b.

(SORRY IF THIS IS CONFUSING )

The scatter plot and a line of best fit show the relationship between the number of hours Jimmy used his electronic gadgets and the number of batteries he used for the gadgets.


Which statement describes the relationship between the number of hours Jimmy used his different electronic gadgets and the number of batteries he used for the gadgets?
A.
Less than three batteries were used in five hours.

B.
Jimmy used seven batteries.

C.
For every increase in three hours of usage, Jimmy had to use two more batteries.

D.
For every decrease in three hours of usage, Jimmy had to use two more batteries.

Answers

Answer:

can you take a picture of the scatter plot or show the data for it? Then I can help you.

Step-by-step explanation:

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