The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

Answer:

96 units²

Rectangles

A = bh

4 x 7  = 28

5 x 7 = 35

3 x 7 = 21

Triangles

A = bh/2

(4 x 3)/2 = 6

(4 x 3)/2 = 6

Total SA

28 + 35 + 21 + 6 + 6

96 units²

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Given Information :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

⠀

Solution :-

⠀

Using the formula,

⠀

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

⠀

Thus, the polygon is a nonagon, and hence has 9 sides.

⠀

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

Answer:

1/5 is the answer in my calculations

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

7.6 hours

Step-by-step explanation:

57 x 8 = 456 minutes

456÷60= 7.6

Answer:

Step-by-step explanation:

Answer:

0.1317

Step-by-step explanation:

Answer

4 ≤ x ≤ 6 and |x - 5| ≤ 1

Step-by-step explanation:

I answered the question...i got it right...

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

⇒ 2: Use the sum-product pattern

⇒ 3: Common factor from the two pairs

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]

[tex]x = 2[/tex]

Answer:

-54/385

Step-by-step explanation:

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

Check the picture below.

Answer:

942.84 cm³

Step-by-step explanation:

volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8

= 157.14 cm³

volume of juice in 6 cans = 6 × 157.14 = 942.84cm³

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

practice harder and harder you will get what you want

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7