A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

Answers

Answer 1

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

  x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

  x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

  x = 104/8 = 13

  4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

__

I find it easiest to solve these using a graphing calculator.

A Rectangle With Sides Measuring X In. And 4x-1 In. Has An Area Of 663in.^2. What Are The Dimensions

Related Questions

8. The double box plot shows the costs of MP3 players at two different stores. Which one of the following inferences is NOT true based on the dot plots shown below:

A. 75% of the prices at Electronics World are lower then $75.

B. 75% of the prices at Bargain Basement are lower than $65.

C. The median price at Electronics World is $10 more than at Bargain Basement.

D. MP3 players are more expensive at Bargain Basement.

Answers

C because the line in the box for EW is at 70 which is 10 more than the line in the box for BB

La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.

Answers

Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.

El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.

isabella earned $44.00 for 4 hours of work how much was earned per hour

Answers

Answer:

$11

Step-by-step explanation:

44/4 = 11

Answer:

11 was earned per hour

Step-by-step explanation:

44 divided by 4 is 11

Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8

Answers

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

In an algebraic expression, terms are separated by ___________________?

A:Group of answer choices

parentheses

B: multiplication and division signs

C: addition and subtraction signs

D: fraction bars

Answers

It has to be C- addition and subtraction signs.

Joe has $173 in the bank. He earns the same amount of money each week for 7 weeks and puts this money in the bank. Now joe has $208 in the bank. How much money does joe earn each week

Answers

Given:

Joe has $173 in the bank.

He puts 7 weeks earning in the banks.

Now joe has $208 in the bank.

To find:

How much money does joe earn each week?

Solution:

Let x be the same amount of money each week for 7 weeks and puts this money in the bank.

Total earning in 7 weeks = 7x

Total amount of money in bank = Initial amount + 7 Weeks earning

[tex]208=173+7x[/tex]

[tex]208-173=7x[/tex]

[tex]35=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{35}{7}=x[/tex]

[tex]5=x[/tex]

Therefore, joe earns $4 each week.

Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056

Answers

Answer:

7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7

Four individuals put their money together to start a new venture. They agree to split the profits equally. N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. If the profits for the first month were $2,000, Z receives __?__ less than if the profits were divided in proportion to how much they invested.

Answers

Answer: $800

Step-by-step explanation:

N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.

If the profits for the first month were $2,000, the amount received by Z will be:

= 4/(1+2+3+4) × $2000

= 4/10 × $2000

= 4 × $200

= $800

WRITE AN EQUATION which describes the line that contains (9,4) and has an undefined slope.

Answers

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

It costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression 1.5x + 15, where x is the number of songs downloaded. How much will it cost Johnny to download 10 songs?

please hurry I need to pass math

Answers

Answer:

$30

Step-by-step explanation:

To find the cost, plug in 10 for x, then simplify

1.5x + 15

1.5(10) + 15

= 30

So, it will cost Johnny $30 to download 10 songs

The total amount of money that Johnny will have to pay is f(10) = 30.

What are expressions?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →

1.5(x) + 15.

The expression is given by -

f(x) = 1.5(x) + 15

where [x] is the number of songs downloaded.

For [x] = 10 songs, the total amount of money that Johnny will have to pay is -

f(10) = 1.5 x 10 + 15

f(10) = 15 + 15

f(10) = 30

Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

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Which expression is equivalent to x 2 - 17x - 60?

Answers

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

help>>>>>>!!!!!!!!!!!

Answers

get photomath it’ll really help also somebody is answering your question right now I just wanted to give you a tip lol
21 minus 3X^2
When using this to be a property you take the number that is outside the parentheses and multiply it to all the numbers that are inside the parentheses. 3(7-x^2)= 3*7- 3*X^2

Can someone help me with this?

Answers

I got the answer of F = 15

-3x+5=20
show work please!

Answers

Answer:

x=−5

Step-by-step explanation:

−3x+5=20

Step 1: Subtract 5 from both sides.

−3x+5−5=20−5

−3x=15

Step 2: Divide both sides by -3.

−3x/-3 = 15/-3

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

[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]

[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]

[tex]\bold{x = \dfrac{15}{-3}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]

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

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

Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups​

Answers

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Leah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

i dunno man like 20x2853-3835734= close to 1 ish maybe

Step-by-step explanation:

khiormurki vmuirtojolihesmgkjsNDv;jJSDgi0ajsdovSpUERHwejgoWjgjSDfiSJDflkNDSfhi34hwtughgvnsdiuufhasidfLKDFijjfiSDFMsjd fyWEHFOIEwnfasdgaiuewhjgajsdgnasidhgaiusdSJDnfIUJFOEntgejEOthueshgoNhiywejsgo Thsopdfpdfkosppppppppppppppposdkfopdskfsdoijrgoifjg i have big pp isdfijsdfjiosdjijidsfijdsfjoisfdjoifdsjoidfjiofsdjoifsdjiofsjidoiosdjfsDuHdgFrbgsrfgvjsurgfjIURgjvursjgsJgrf9srgiurw9giw9r0ti9ew0riwe90ri09weir90ewir9weir09we0fSLKcnnPZkknknjknkjnkjnkjnjnkjnjknjnokoljgtdderdwesweaqwasdfgvfcuyggfvjhhvvuhhgbjvtcuyjvbvygvgvtygiuhihidsfu7rsrfiurfiorfjoidfijofdijofvuivmvcnmvcxjkldfsjewiuewjlkldjkllfdsutuyewrjlkcvm,dsfdsjkfsdiubdnsgdkjlfsdiuodsfkjlfsdkjlsfdjklfsdjlkfsdjkdsfjkdfkjdfsjkfdjksFKJSDFIhsfuHDFJsdfDSJASDIUEJONDUhfJEFHweoijsiuhijsaudhisjfhashfpKKDaskdPAOSFUSHDFOIjsdifahsdjjckvljauydsfhkjdvnauidsfjsfhUSDFLASGMASFHDFSKFHSJDKFJNlsdjjuNLWEEE IWQJDB UEWJOHCJSDOK?

gIB BRAIN SMARTER

Aidan ran 712 of a mile, then took a break before running another 12 of a mile. How far did Aidan run in all?

Answers

Answer:

Is that supposed to be

7 1/2? If so, answer is 8

Step-by-step explanation:

7 1/2 + 1/2=8

using your equation of f(x)= 5x + 8, evaluate f(5)

Answers

Answer:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

#carryonlearning :)

what is this question??​

Answers

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

0.4 / 17= what i need help this is ilx ​

Answers

Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

A good will do one of both of which two things select two answers

Answers

WUT?
MARK ME BRAINLEST


Find the value of x.

Answers

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

The value of X would be 7

2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.

1. Find her earned income level.

2. Entered the base amount. = $

3. Found the amount over $ = $

4. Multiplied line 3 by 25% = $

5. Added Lines 2 and 4 = $

Answers

Answer:

Tax= $ 7,173.5

Step-by-step explanation:

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

Solve for x: x + 16 = -18

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

Question 3
For the triangle shown, calculate the perimeter
2.5 km
51.8°
62.1

Answers

Answer: The perimeter is 9.31km

Step-by-step explanation:

We have two triangle rectangles, and the perimeter of the complete triangle will be equal to the sum between the hypotenuses (of both triangles) and the bottom cathetus (of both triangles)

For a triangle rectangle and a given angle A (that is not the right angle)

Remember the relationships:

Sin(A) = (opposite cathetus)/(hypotenuse)

Cos(A) = (adjacent cathetus)/(hypotenuse)

Tan(A) = (opposite cathetus)/(adjacent cathetus)

With this, we can find the measures of each triangle in the imae.

The left triangle rectangle.

We have a cathetus (opposite) with length of 2.5km and A = 51.8°

Then the hypotenuse can be found by:

Sin(51.8°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(51.8°) = 3.18 km

And the bottom cathetus can be found with:

Tan(51.8°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(51.8°)) = 1.98 km

For the other triangle, we have A = 62.1°, and the opposite cathetus is 2.5 km

We can use the same relationships than before:

Sin(62.1°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(62.1°) = 2.83 km

And the bottom cathetus can be found with:

Tan(62.1°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(62.1°)) = 1.32 km

Then the perimeter of the complete triangle is:

Perimeter = 3.18 km + 1.98 km + 2.83km + 1.32 km = 9.31 km

30 POINTS PLEASE HELP!!!
The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.

Answers

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

 

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.

The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?

Answers

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

What is Sinusoidal function?

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

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What are the points on y-axis which are at a distance of 4 units from 4x+3y=12

Answers

Given:

The equation of line is

[tex]4x+3y=12[/tex]

To find:

The points on y-axis which are at a distance of 4 units from the given line.

Solution:

The point lie on the y-axis. So, their x-coordinate must be zero.

Let the points are in the form of (0,k).

The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is

[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The given equation can be written as

[tex]4x+3y-12=0[/tex]

The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.

[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]

[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]

[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]

[tex]4=\dfrac{|3k-12|}{5}[/tex]

Multiply both sides by 5.

[tex]20=|3k-12|[/tex]

[tex]\pm 20=3k-12[/tex]

[tex]12\pm 20=3k[/tex]

[tex]\dfrac{12\pm 20}{3}=k[/tex]

Now,

[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]

[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]

Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].

Find the sum of the linear expressions
(8x - 16) + (-12x - 2)

Answers

Answer:

-4x-18

Step-by-step explanation:

pickle

Answer: -4x-18

Step-by-step explanation:

8x-16-12x-2=8x+-16+-12x+-2

Then you combine like terms.

8x+-16+-12x+-2= (8x+-12x)+(-6+-2)

Your answer will be -4x-18

I hope this helps

Add the polynomials.
(3x² - 7x+2) + (7x2 - 6x)

Answers

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

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