The area of a rectangle Is 52 ft?, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle. ​

Answers

Answer 1
Let x = width. Then, length = 2x - 5

x(2x - 5) = 52

2x2 - 5x - 52 = 0

(2x - 13)(x + 4) = 0

x = 6.5 or x = -4

Since x can't be negative, x = 6.5

width = x = 6.5 feet
length = 2x - 5 = 8 feet

Related Questions

Find the measures of all the interior angles of the non-convex figure below.

Answers

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°

Can anyone help? The question is at the bottom

Answers

Answer:

Step-by-step explanation:

Answer:

24 is awnser

Step-by-step explanation:

Pls mark me as brainliest

Which equation could be used to find the dimensions of the rectangle?

Answers

The second answer i believe

Please help me answer this question.
What is the vertex of the parabola?

Answers

Answer:

g

Step-by-step explanation:

the point at the intersection of the parabola and its line of symmetry

Find the length of side C when a=40 and b=9

Answers

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

Show that nC6 = nC4, find n​

Answers

Answer:

n = 10

Step-by-step explanation:

From the question,

nC6 = nC4

n!/6!(n-6)! = n!/4!(n-4)!

Simplifying n! out of the equation

⇒ 1/6!(n-6)!  = 1/4!(n-4)!

Crossmultiplying

4!(n-4)! = 6!(n-6)!

4!(n-4)! = 6×5×4!(n-6)!

(n-4)! = 30(n-6)!

(n-4)(n-5)(n-6)! = 30(n-6)!

⇒ (n-4)(n-5) = 30

n²-4n-5n+20 = 30

n²-9n+20-30

n²-9n-10 = 0

Solving the quadratic equation,

n-10n+n-10 = 0

(n-10n)+(n-10) = 0

n(n-10)+1(n-10) = 0

(n+1)(n-10) = 0

Either

n+1 = 0

n = -1

or

n-10 = 0

n = 10

n canot be a negative value,

Therefore, n = 10


Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x

Answers

step by step:
first you need to plug in the x into the equation
-5(4)-18-7(4)
now you solve
-20-18-28
which equals
-66

PLEASE HELP
FIRST ONE TK ANSWER
GETS BRAINLIEST Choose the number that shows the value of the expression 3 x (6 + 1.4) -42
A. 3.4
B. 6.2
O C. 11.4
D. 14.2
MAKE SURE TO LOOK AT THE PHOTO I HAVE PUT

Answers

Answer:

B. 6.2

Step-by-step explanation:

The calculation is done by hand and verified by a TI-84 calculator.

the correct answer is b 6.2

find the surface area to the nearest tenth.

Answers

Answer:

A

Step-by-step explanation:

A woman borrows ​$ 6,000 at 12​% compounded​ monthly, which is to be amortized over 3 years in equal monthly payments. For tax​ purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first​ year, the second​ year, and the third year of the loan. ​[Hint: Find the unpaid balance after 12 payments and after 24​ payments.]

Answers

Answer:

nsdjdhbdeihddjjdoeuriehdisueueeuhd

3/25 converted to a decimal

Answers

Answer:

.12

Step-by-step explanation:

First set up your proportion.

[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.

the answer would be 12 hundredths or .12

Solve for the area of the smaller
shape.
Round to the nearest TENTH.

Answers

31 I think I don’t really remember cause I’m not working on area anymore

Find the surface area of the shape

Answers

Answer:

180

Step-by-step explanation:

Greatest comment factor of 15^2 & 25c

Answers

Answer:

25

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF),

25

De la siguiente sucesión: – 1, – 3, – 5, – 7, – 9,…, ¿Cuál es la regla general para n=1, 2, 3,…?

Answers

The general rule for the given Sequence is a_n = 1 – 2n, where n = 1, 2, 3, ... This equation allows us to calculate any term in the sequence by substituting the corresponding value of n.

The given sequence –1, –3, –5, –7, –9,... follows a specific pattern or rule. To determine the general rule for n = 1, 2, 3,..., we can observe the sequence and identify the relationship between the terms.

Looking at the sequence, we notice that each term is decreasing by 2. Starting with –1, we subtract 2 to get the next term –3. Then, we subtract 2 again to get –5, and so on. Therefore, the rule for generating the terms in this sequence is to start with –1 and subtract 2 from each subsequent term.

We can express this rule algebraically as follows:

a_n = a_1 + (n – 1) * d

Where:

a_n represents the nth term of the sequence,

a_1 represents the first term of the sequence,

n represents the position of the term in the sequence,

d represents the common difference between the terms.

In this case, a_1 = –1 and d = –2 (since each term is decreasing by 2). Plugging these values into the equation, we get:

a_n = –1 + (n – 1) * (–2)

Simplifying further, we have:

a_n = –1 – 2n + 2

a_n = 1 – 2n

Therefore, the general rule for the given sequence is a_n = 1 – 2n, where n = 1, 2, 3, ... This equation allows us to calculate any term in the sequence by substituting the corresponding value of n.

For more questions on Sequence .

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Note the full question may be :

From the following sequence: – 1, – 3, – 5, – 7, – 9,…, What is the general rule for n=1, 2, 3,…?

2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?​

Answers

Answer:f

Step-by-step explanation:d

Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c

Answers

Answer:

Step-by-step explanation:

Greatest common factor of 6x and 9y is 3.

6x + 9y = 3(2x + 3y)

:::::

Greatest common factor of 3c and 11c is c.

3c + 11c = (3+11)c

Please help me
10 + 963 = ?

Answers

Answer:

hi

Step-by-step explanation:

10+963=973

have a nice day

Answer:

10+963= 973

Step-by-step explanation:

Answer 973

i hope this help

Please help meeeeeeee

Answers

90 degrees (1st)
36 degrees (2nd)

Solve the following radical equation , Show work also please !

Answers

there is no solution

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-12=6\sqrt{x+4}}[/tex]

[tex]\mathsf{6 \sqrt{x + 4}=-12}[/tex]

[tex]\textsf{DIVIDE your BOTH SIDES by 6}[/tex]

[tex]\mathsf{\dfrac{6\sqrt{x + 4}}{6}= \dfrac{-12}{6}}[/tex]

[tex]\textsf{Introduce the new temporary equation}[/tex]

[tex]\mathsf{\sqrt{x + 4}=-2}[/tex]

[tex]\textsf{SOLVE for your SQUARE ROOT }[/tex]

[tex]\mathsf{\sqrt{{x + 4}}=-2}[/tex]

[tex]\mathsf{Like: x + 4 = (-2)^2}[/tex]

[tex]\textsf{SQUARE EACH of your SIDES}[/tex]

[tex]\mathsf{x + 4 = 4}[/tex]

[tex]\textsf{SUBTRACT your BOTH SIDES by 4 }[/tex]

[tex]\mathsf{x + 4 -4= 4-4}[/tex]

[tex]\mathsf{Cancel\ out\ 7-7 \ because\ it\ gives\ you\ 0}[/tex]

[tex]\textsf{Solving for your last temporary question}[/tex]

[tex]\mathsf{x = 4-4}[/tex]

[tex]\mathsf{4-4 = \bf 0}[/tex]

[tex]\mathsf{\bf x = 0}[/tex]

[tex]\textsf{Plug your x-value (x = 0) to make sure it works for your original equation}[/tex]

[tex]\textsf{You will see that it doesn’t work for the original problem so this means that the}\\\textsf{original equation \bf does NOT have any solutions.}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf No solutions}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If y varies directly with x, and y= 4/5 when x= 5:

Find the variation constant, k

Answers

Answer:

k = 4/25 or 0.16

Step-by-step explanation:

Given the following data;

y = 4/5

x = 5

To find the variation constant, k;

y is directly proportional to x

Mathematically, y = kx

Substituting into the formula, we have;

4/5 = k5

Cross-multiplying, we have;

4 = 25k

k = 4/25

brooke has $90 in an account that earns 10% interest compounded annually. to the nearest cent, how much interest will she earn in 1 year

Answers

Brooke earned $9.00 in interest over one year on her account with $90 at a 10% annual interest rate, compounded annually.

To solve this problem, we can use the formula for compound interest:

A =[tex]P(1 + r/n)^(^n^t^)[/tex]

where A is the amount of money in the account after t years, P is the principal (the initial amount of money), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time period in years.

In this case, we want to find the interest earned in one year, so we can set t = 1. We know that Brooke has $90 in her account, so P = 90. The annual interest rate is 10%, or 0.1 as a decimal. The interest is compounded annually, so n = 1.

We can plug these values into the formula and solve for the amount of money in the account after one year:

A = [tex]90(1 + 0.1/1)^(^1^*^1^)[/tex]

A = 90(1.1)

A ≈ 99

The amount of money in the account after one year is approximately $99. So, Brooke earned $99 - $90 = $9 in interest. To the nearest cent, this is $9.00.

In conclusion, using the formula for compound interest, we can calculate the interest earned on an account given the initial balance, annual interest rate, number of compounding periods per year, and time period.

For such more questions on interest

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Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters

Answers

6 litres / 20 balloons = 0.3 litres
Ans 3/10

Answer:

3/10

Step-by-step explanation:

URGENT WILL GIVE BRAINLIEST!!!!

Answers

Answer:

7/10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)

You have a 70% chance of picking an odd number.

pls help :( i dont get it ive been very stuck

Answers

Answer:

ill be figuring this out rn, (theres a caculator thingy online if nobody helps u)

Step-by-step explanation:

44.4 is the Percent and as a fraction its

111/250 (thats what i got)

6.66 as a dec. and as a fraction its 333/50

sorry if these are wrong bur its what i got.

Please I really need to know how to do this ASAP

Answers

Answer:

the blue block 'side' is 10

the pink block ' bottom' is 9

the cream 'side' block is 13 (length)

the green back triangle next to the blue side is also 10

and the other side of the green back triangle is 8

I need help please :)

Answers

Step-by-step explanation:

The given equation is :

2x = 10

We need to find the value of x.

This equation has one solution as it is a linear equation having one variable i.e. x.

Dividing both sides by 2,

x = 5

So, the value of x is equal to 5.

Put x = 5. So,

2(5) = 10

10 = 10

Hence, this is the required solution.

I need help again


‍♂️

Answers

Answer:

the 3rd one

Step-by-step explanation:

Solve this question for brainlest

Answers

I don’t see no question to answer.

Une cuisinière sait qu'il faut 2 h 15 min pour que sa dinde soit cuite. A quelle heure devra-t-elle
l'enfourner si on veut la manger à 13 h 10 ?​

Answers

Answer:

10 h 55 min

Step-by-step explanation:

13 h 10 - 2h = 11 h 10

11 h 10 - 15 min = 10 h 55 min

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