The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the rectangle.

Answers

Answer 1

9514 1404 393

Answer:

  6.5 ft wide by 8 ft long

Step-by-step explanation:

We can let x represent the width of the rectangle. Then the length is ...

  L = 2x -5

and the area is ...

  A = LW = (2x -5)(x) = 52

  2x² -5x -52 = 0 . . . . . put in standard form

  (2x -13)(x +4) = 0 . . . . factor

  x = 6.5, -4 . . . . . . . . . . values that make the factors zero

The length is then ...

  L = A/W = 52/6.5 = 8

or

  L = 2W -5 = 2(6.5) -5 = 13 -5 = 8

The rectangle is 6.5 feet wide and 8 feet long.

The Length Of A Rectangle Is 5 Less Than Twice The Width, And The Area Of The Rectangle Is 52 Ft^2. Find

Related Questions

Determine any data values that are missing from the table, assuming that the data represent a linear function.
x y
1 2
2 4
3

a. 7
b. 6
c. 2
d. 8

Answers

B. 6
it multiplies by two

Target sells 12 bottles of water for 2$ and sells 24 bottles for 3$, what is the better price?

Answers

Answer:

The 24 bottles for 3$

Step-by-step explanation:

12 bottles for 2$ x 2

= 24 bottles for 4$

This means the 24 bottles for 3$ is the better price per bottle.

7. Which of the following number has a rational root?
A V322
V324
B. 7323
D. 7325​

Answers

Answer:

Step-by-step explanation:

Prime factorize the number. Only 324 can be factorized.

[tex]\sqrt{324}=\sqrt{2*2*3*3*3*3}=2*3*3=18[/tex] is rational number

View the work below from a student last year. What was their mistake? Be detailed in their response.

-3(x + 4) = 2x - 5

-3x + 4 = 2x - 5

4 = 5x - 5

9 = 5x

1.8 = x

Answers

need to distribute -3

-3(x+4)=2x-5
-3x+12=2x-5
-5x=7
x=-7/5 or x=-1 2/5 or x=-1.4

Solve the following

NO BOTS!

Answers

Answer:

75/-3 = -25

Step-by-step explanation:

Numerator: -5^2 + 10^2 = 75

-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.

10^2 = 100,

-25 + 100 = 75

Denominator: (2 x (-5) x 3) + 3^3 = -3

2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30

3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27

-30 + 27 = -3

Total Fraction = 75/-3  

Simplified = -25

What is the value of the positive zero of the function defined by x2 + x - 30?

Answers

Answer:

5

Step-by-step explanation:

(x+6)(x-5)

x = 5

x = -6

Find the missing angle measure in each triangle 29, 88, x || Hurry :)

Answers

Answer:

63

Step-by-step explanation

180-29-88=63

evaluate the piecewise function for h=0. PLEASE HURRY!!! I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Answers

t = 0 belongs to the interval [-3, 3] (since -3 ≤ 0 ≤ 3 is true), so use the middle function to evaluate h (0):

h (0) = 0 × (0 + 4) = 0

Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

Step-by-step explanation:

Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:

10.47 / 6.08 = X

1.72 = X

13.88 / 7.48 = X

1.85 = X

Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

b)Given 0º < x < 360° , solve for x in:
2 sin (2x - 30°) = √3.​

Answers

Answer:

180°

because x is the mid pf 0° and 360°

Find the measure of angle R ((look at pic pls help)

A- 45
B- 60
C- 90
D- 30​

Answers

Answer:

B

Step-by-step explanation:

Mr. Smith is conducting a class raffle. Every 100% on an assignment is an entry into the raffle. Liam has 10 entries, Noah has 3 entries, Oliver has 11 entries, and there are 44 other total entries. What is the probability that Liam will win the raffle? Round your answer to the thousandths place.

Answers

Answer: 0.147

Step-by-step explanation:

Liam / total

total = 10 + 3 + 11 + 44 = 68

10 / 68 = 5 / 34

0.1470588 = 0.147

The diamter of a circle with a radius of 6

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

The diameter is just the radius*2 so the diameter is 12

A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____  pounds    ||→vx||= ___ pounds    What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds    ||→v||=  ____pounds   ​​​​

Answers

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.​

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

What is the elapsed time between 10:05am 10:51am

Answers

46 minutes is the elapsed time :)

Answer:

46 minutes

Step-by-step explanation:

In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.

Convert 210° to radian measure in terms of pi​

Answers

Answer:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

Step-by-step explanation:

Given

[tex]\theta = 210^\circ[/tex]

Required

Convert to radians

To convert to radians, we make use of:

[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]

Substitute: [tex]\theta = 210^\circ[/tex]

[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]

[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]

Simplify fraction

[tex]Radians = \frac{7\pi}{6}[/tex]

[tex]Radians = \frac{7}{6}\pi[/tex]

Hence:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

HELP please with this

Answers

Answer:

CB = 9

Step-by-step explanation:

To find CB, apply trigonometric function.

Reference angle = 60°

Hypotenuse = 18

Adjacent = CB

Apply CAH:

Cos 60 = Adj/Hyp

Cos 60 = CB/18

Cos 60 × 18 = CB

CB = Cos 60 × 18

CB = 9

What is the area of the composite figure?

Answers

Answer:

132ft squared

Step-by-step explanation:

Divide the figure into one rectangle and on triangle. Area of rectangle: 8x12=96

Area of triangle: 9x8/2=36

Add: 96+36=132

What is the measured of bacteria at t=0?​

Answers

Answer:

Number of bacteria when t = 0 is 2,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 0

where t is number of hours

Find:

Number of bacteria when t = 0

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0

Q(0) = 2(729⁰)

We know that;

a⁰ = 1

So,

Q(0) = 2(729⁰)

Q(0) = 2(1)

Q(0) = 2

Number of bacteria when t = 0 is 2,000

What is the relationship between a and b?

Answers

Answer:

Supplementary angle.

Pls mark Brainliest :)

Step-by-step explanation:

у = -x + 2
y = 2x + 5

Answers

Use substitution
-x + 2 = 2x + 5
2 = 3x + 5
-3 = 3x, x = -1
Plug into any equation to find y
y = -(-1) + 2
y = 1 + 2 = 3

Solution: x = -1, y = 3

Answer:

x= -1

Step-by-step explanation:

-x+2= y =2x+5

-x+2=2x+5 /+x

2=3x+5 /-5

-3=3x

x= -1

find the missing length

Answers

Number 1. Is 10

Number 2. G-E is 20 and F-E is 10

geometry question pls help!!!

Find measure of angle BPD

A-9 degrees
B- 14 degrees
C- 155 degrees
D- 146 degrees ​

Answers

The answer would be D- 146 degrees

Answer:

(C). 155°

Step-by-step explanation:

A yard contains 16 ounces. 9 ounces is what fraction of a pound?

Answers

9514 1404 393

Answer:

  9/16

Step-by-step explanation:

We presume an error in the problem statement. A yard is a measure of distance, not weight.

A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.

__

As a decimal fraction, that is 0.5625 lb.

Uri’s family has an old shower head. It releases about 5 gallons of water per minute. If Uri takes a 5-minute shower, how much water will she use? Help!

Answers

Answer:

25 gallons

Step-by-step explanation:

5 gallons per minute, 5 minutes, 5, 10, 15, 20, 25. multiple 5 by 5

Answer:

The answer is 25 gallons of water

Step-by-step explanation:

I just took the test and seriously it is correct!

What is the value of y in the equation 2(4y - 1) = 6?

A: 0
B: 1
C: 6
D: 8

Answers

Answer:

Step-by-step explanation:

Fist we multiply the values:

2*4y-2*1=6

8y-2=6

8y=6+2

8y=8

y=8:8

y=1

2*4(1)
2*4(1) - 2*1 = 6
Answer = 1

Help extra points and mark brainlist

Answers

Answer:

Median is 7

Step-by-step explanation:

Give me brainllest

A bucket can hold a total of 5 gallons of water. If the bucket is 45% full, how much water is in the bucket?

Answers

Answer:

2.25 or 2 1/4 gallons of water

Step-by-step explanation:

5*0.45=2.25

Fraction form 2 1/4

Decimal form 2.25

Hope this helps :)

The amount of bucket that is filled is 2.25 gallons of water

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total amount the bucket of water can hold = 5 gallons

The percentage of bucket that is full = 45 %

So ,

The amount of bucket of water that is full is =
percentage of bucket that is full x total amount the bucket of water can hold

The amount of bucket of water that is full is = ( 45 / 100 ) x 5

                                                                         = 0.45 x 5

                                                                         = 2.25 gallons

Hence , the amount of water that the bucket is filled is 2.25 gallons

To learn more about equations click :

https://brainly.com/question/10413253

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Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly

Answers

Answer:

A chi-square goodness-of-fit test

Step-by-step explanation:

GOF test is used to determine if the data meets the expected values.

A chi-square goodness-of-fit test procedure should be used to test whether or not the shuffle feature is working correctly.

What is a distribution?

A distribution includes an algebraic function that calculates the likelihood that long-been-considered outcomes will occur. In the perspective of its population space as well as event probability, it is a schematic representation of random phenomena.

To ascertain regardless of whether the observed sample frequency deviates noticeably from those given in the null hypothesis, should use the chi-square goodness of fit test.

He notes the number of tracks in each classification after listening to 100 songs selected at random while his player is in shuffle mode. One can determine out whether the quality of fit is "good enough" and draw the conclusion that the population matches the distribution by applying the chi-square goodness of fit test.

Learn more about distribution, Here:

https://brainly.com/question/29062095

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