The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Answers

Answer 1

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6


Related Questions

Subtract.

7 1/5−(−3/5)

Enter your answer in the box as mixed number in simplest form.

Answers

7 4/5

Cause I’m smort

Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5

Help ASAP!!! Pls and thx

Answers

Answer:

ture

Step-by-step explanation:


17) Which number is located the same distance on
a number line from -5 as 3 is?

Answers

Answer: -13

Step-by-step explanation:

I know that the distance between -5 and 3 is 8 so I subtracted 8 from the negative 5 so it would be the same distance and I got -13

Answer:

-13

Step-by-step explanation:

Can you help me solve this please.

Answers

Answer:

23

Step-by-step explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])

[QUARTER CIRCLE]

A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex]  = 7 ([tex]units^{2}[/tex])

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

Consider function f.

Which graph represents function f?

A. W
B. X
C. Y
D. Z

Answers

Answer:

W

Step-by-step explanation:

I got a 100% on my test

Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.

Explain about the function?

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.

A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.

To learn more about  function refer to:

https://brainly.com/question/25638609

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(1.2 times 10^9) divided by (3 times 10^5) in scientific notation

Answers

Answer:

[tex]4x \times {10}^{3} [/tex]

Step-by-step explanation:

[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]

[tex]0.4 \times {10}^{9 - 5} [/tex]

[tex]0.4 \times {10}^{4} [/tex]

[tex] = 4 \times {10}^{3} [/tex]

Write 34% as a fraction in simplest form

Answers

Answer:

The answer is that the simplest fraction form of 34% is 17/50

Step-by-step explanation:

Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.

34% = 17/50

Have an awesome day! :D

Answer:

[tex]\frac{17}{50}[/tex]

Step-by-step explanation:

To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].

Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.

[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]

Please look at picture for question.

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

Determine f(4)+2×g (2)

Answers

Answer:

4f+4g

Step-by-step explanation:

SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

The ratio of girls to boys on the school field trip is 6 to 7. There are 24 girls on the field trip. What is the total number of students on the field trip? NO LINKS!!!

A.28

B.52

C.4

D.13

Answers

Answer:

B.52 is the answer i think for the total number of kids

need help on the question

Answers

whats the question??

Answer:

what's the question?

Step-by-step explanation:

I'd love to help but i don't see a question...

My kid already tried 3x7x7x7x7 = 3 x 7 to the power of 4 but it says it’s wrong, help please!

Answers

Answer:

[tex]7^{4} * 3[/tex]

Step-by-step explanation:

4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz

Answers

Answer:

3/10

Step-by-step explanation:

Find a common denominator for both fractions.

4/5 - 1/2 = 8/10 - 5/10

What is the prime factorization of 144?
2
O 2x62
O 22 x 34
x
O 23 x 32
х
0 24 x 32
Х
Help pls thx

Answers

Answer:

2

Step-by-step explanation:

Hi do you have a photo? i’m confused with the listing

On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

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 has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]

The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:

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

By the Central Limit Theorem

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

[tex]Z = \frac{66 - 62}{0.7071}[/tex]

[tex]Z = 5.66[/tex]

[tex]Z = 5.66[/tex] has a p-value of 1.

1 - 1 = 0.

There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.

A similar problem is given at https://brainly.com/question/24663213

Help help
Help help help help help

Answers

Answer:

It equals 1.66666666666...

But you can round it to 1.7 if your rounding to the nearest tenth.

It equals 1.666666666
So just round and you get 1.7

Evaluate the expression.

−12 ⋅ 1/3

Group of answer choices

4

-4

36

-36

Answers

Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.

Need help from mathematics only ?

Answers

9514 1404 393

Answer:

  8.  50 yards

  9.  9%

Step-by-step explanation:

In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.

8)

The missing formula is ...

  A = LW . . . . where A is area, L is length, W is width

  6000 yd² = (120 yd)W

  W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field

__

9)

The missing formula is ...

  I = Prt . . . . where I is the interest on principal P at rate r for t years

  1800 = 5000(r)(4)

  r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment

maya used a drwaing to divide 86 she made groups of 17 with 1 left over. Draw a picture to determine how many groups may made.

Answers

Check the picture below.

The number of groups that may make will be 5.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Maya utilized a drawing to partition 86 she made gatherings of 17 with 1 remaining over.

Then the number of the groups that may make will be given as,

⇒ (86 - 1) / 17

Simplify the expression, then we have

⇒ (86 - 1) / 17

⇒ 85 / 17

⇒ 5

The number of groups that may make will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Are the following two logical statements equivalent? p ∨ q q ∨ p

Answers

Answer:

Are the following two logical statements equivalent?

p

q

q

p

The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?

Answers

Answer: 27.5% decrease in the staff

Step-by-step explanation:

Simplify the following expression.

(33x + 53y) + (44x - 20y)
A.
86x + 33y
B.
77x + 73y
C.
77x + 33y
D.
86x + 73y

Answers

Answer:

77x+33y

Step-by-step explanation:

Eliminate redundant parentheses

(33x+53y)+(44x−20y)

33+53+44−20

Combine like terms

33x+53y+44x−20y

77+53−20

Combine like terms

77x+53y−20y

77+33

Solution:

77+33

Answer: The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

tap the word that "they" refers to

a. birds
b. frogs
c. feets

Answers

Step-by-step explanation:

we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess

Suppose y varies directly with x. If y=16 when x= 8, find x when y=10

Answers

Answer:

5

Step-by-step explanation:

By question,

=> y = kx

When y = 16 , x = 8

=> 16 = x(8)

=> x = 2

When y = 10 ,

=> 10 = 2x

=> x = 5

Answer:

5

it is the correct answer

PLEASE HELP MY SISTER NEEDS IT OMG [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5

Answers

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

On the previous screen, you said the daily recommended amount of vitamin C is `80` milligrams. Yosef drank `4` ounces of orange juice. What percent of the daily recommended amount of vitamin C is this?A `16`-ounce bottle of orange juice contains `200` milligrams of vitamin C, which is `250\%` of the daily recommended amount (for adults).

Answers

Answer: 62.5%

Step-by-step explanation:

We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.

250 / 4 = 62.5

Answer:

62.5

Step-by-step explanation:

rlly quick what's the answer to this?

Answers

Answer:

4, which is A

Step-by-step explanation:

Answer:

first we divide 256 divided by 16 =

16

then we square root it to get

4(a)

Hope This Helps!!!

-4/5 divided by 1/3
Please asap

Answers

the straight up answer is -12/5

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