When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?

Answer:

[tex] A = \dfrac{8x}{3x + 1} [/tex]

Step-by-step explanation:

[tex]A = \dfrac{bh}{2}[/tex]

[tex] A = \dfrac{16x^2}{9x^2 - 1} \times \dfrac{6x^2 - 5x + 1}{2x^2 - x} \times \dfrac{1}{2} [/tex]

[tex] A = \dfrac{(16x^2)(6x^2 - 5x + 1)}{2(9x^2 - 1)(2x^2 - x)} [/tex]

[tex] A = \dfrac{(16x^2)(2x - 1)(3x - 1)}{2(3x - 1)(3x + 1)(x)(2x - 1)} [/tex]

[tex] A = \dfrac{8x}{3x + 1} [/tex]

Answer: The 3rd one is the correct answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side

Answer:

Detective/Forensics scientist

Step-by-step explanation:

I want to be a detective/ forensic scientist because I am interested in science and investigating.

Answer:

1

Step-by-step explanation:

Answer:

A) 1

Step-by-step explanation:

The number 1 was spun the fewest times. We know this because there is only one x above the 1, suggesting it wa spun the fewest times.

Hope it helps!!!

Answer:

C NO TOO HOT OR TOO COLD

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Brainliest plz

howdy!!

the answer for yr question is B!!!!

goodluck<3

Answer:

Install math calculator

Thank you

Answer:

x=1\9

Step-by-step explanation:

first part:

5x-3+4x+2

5x+4x-3+2

9x-1  

9x=1

x=1\9 answer.

Answer:

a) x-intercepts at -6 and 2

b) y-intercept at -12

c) minimum at (-2, -16)

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

have a great day <3

The growth rate of your credit card balance is approximately 0.0142.

Therefore, the correct option is B.

Given that you got a credit card, you purchased a stereo system for $200. your credit limit is $1000.

The monthly interest rate is 1.42%.

We need to determine the growth rate of your credit card balance,

To calculate the growth rate of your credit card balance, we need to consider the monthly interest rate and the initial purchase amount.

The monthly interest rate is 1.42%, which can be expressed as a decimal by dividing it by 100: 0.0142.

The initial purchase amount is $200.

Assuming no payments are made and no additional purchases are made, the credit card balance will increase each month due to the accrued interest.

To calculate the growth rate, we can divide the accrued interest by the initial purchase amount.

Accrued interest = Monthly interest rate x Initial purchase amount

= 0.0142 x $200

= $2.84

Growth rate = Accrued interest / Initial purchase amount

= $2.84 / $200

≈ 0.0142

Therefore, the growth rate of your credit card balance is approximately 0.0142, which corresponds to option B.

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Answer:

2(x plus 20)

Step-by-step explanation:

this is the highest common factor

Hi

The answer would be =

Why?

The `| |` symbols mean actual value, which makes every number inside of it positive. That would mean, following the rules of actual value, the equation would look like:

5 + 2 _____ 5 + 2

Both add up to 10, so both equations are equal.

Answer:

>

Step-by-step explanation:

(4)| -5 + (-2)|  ____ |5 + 2|

         (4)| -7|  ____ |7|

            (4)(7) ____ 7

                28     >   7

Answer:

3

Step-by-step explanation:

3x2 +x −14 = 0 12 −4(3)(−14) = 1+168 =169 = 132

The roots of 3x² + x = 14 are real, irrational and unequal

A quadratic equation is a second-order polynomial equation in a single variable x, ax² + bx +c=0 with a ≠ 0 .

Given equation is :

3x² + x = 14

3x² + x - 14=0

we have, a=3, b=1 c=-14

D= b²-4ac

  = 1²-4*3*(-14)

  = 1+168

  = 169

As, D>0

Hence, the roots are real.

Now,

x= -b±√b²-4ac/2a

 = -1±√169/2*3

 =-1±13/6

x= -1-13/6  and x= -1+13/6

x= -7/3  and x= 12/6=2

Hence, the roots are real, irrational and unequal.

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Answer:

234

Step-by-step explanation:

Simplify the expression. an=5n-16. Substitute 50 for n. 5(50)-16= 250-16=234

For problems like this, simplifying the equation helps.

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

*see attachment for the diagram given

Answer:

Volume of the toy = 68 in.³

Step-by-step explanation:

The equation to find the volume of the toy = volume of the wooden rectangular prism - volume of the triangular prism removed form the center

Volume of the toy = (L*W*H) - (½*bhl)

Where,

L = 8 inches

W = 3 inches

H = 3 inches

b = 1 inch

h = 1 inch

l = 8 inches

Plug in the values into the equation

Volume of the toy = (8*3*3) - (½*1*1*8)

Volume = 72 - 4

Volume of the toy = 68 in.³

Answer:

Hi! The answer to your question is D. {(0,0),(0,1),(1,2)(1,3)}

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

3:1 (Girls:Boys)

6 divided by 2

Answer:

its B

Step-by-step explanation: Cause I have big brain. >:)

Answer:

Step-by-step explanation:

The arithmetic sequence usually write as [tex]a_{n}=a_{1} +(n-1)d[/tex], where a1 is the first term and d is a common difference.

[tex]a_{n} = a_{1}+(n-1)d\\a_{n} = 0+(n-1)0.5\\[/tex]

Answer:

c

Step-by-step explanation:

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

[tex]\dfrac{28.80}{144}=\$0.2[/tex]

owner sells the pen at $0.4 i.e. price marked up by

[tex]\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%[/tex]

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

[tex]\Rightarrow 0.2\times (1+0.5)=\$0.3[/tex]

Answer:

The number of sliders is 2 and the number of hot dogs is 8.

Step-by-step explanation:

Since at a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories, and a combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders, in order to determine the number of mini hotdogs in the combination meal, X, and the number of sliders in the combination meal, Y, the following calculation must be performed:

2X + Y = 1200

800 + 400 = 1200

800/100 = 8

400/200 = 2

Thus, the number of sliders is 2 and the number of hot dogs is 8.

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write  y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x.  Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1.  We set y = -2 and find x:    -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

Answer:

3.3

Step-by-step explanation:

Answer:

2

Step-by-step explanation: