Dennis had a piece of rope that was 2.7 m long. He cut the rope into 3 equal pieces. Was each piece of rope greater than or less than 1 m? 

Answers

Answer 1
Answer: 2,7\ m\ :\ 3\ =\ 0,9\ m

0,9\ m\ <\ 1\ m

 less than 1 m



Answer 2
Answer: 2,7\ m:3=0,9\ m\n 0,9\ m<1\ m\n \n Answer: Each\ piece\ of\ rope\ are\ less\ than\ 1\ m.

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Factor the expression 28x + 49
Which of the following represents an equation for the line that is parallel to y=3/2x-7 and qhich passes through the point (6,8)? 1) y-8=-2/3(x+6) 3)y+8=3/2(x-6) 2)y-8=3/2(x+6) 4)y+8=-2/3(x-6)
1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism B.) socialism C.) collective bargaining D.) populism 2. During the early 20th century, corporations used holding companies to do which of the following? A.) reduce the power of unions B.) shelter earnings from income taxes C.) pursue a policy of vertical integration D.) exert a greater amount of political influence 3. What impact did developments in the steel industry during the 19th century have on the United States? A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military. B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources. C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation. D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.
38% convert into fraction
Write the ratio 12 to 18 as a fraction in simplest form.

How many solutions exists for the given equation?

Answers

Answer:

One solution

Step-by-step explanation:

1/2(x+12)=4x-1

1/2x+6=4x-1

x=2

A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.A) 0.797%
B) 0.00797%
C) 0.833%
D) 0.00833%

Answers

Answer: C) 0.833%


Step-by-step explanation:

Given: Cost price of house = $120,000

The rate of increase of its cost = 10%

Therefore, the increase amount of house per year =10% of $120,000

=(10)/(100)*120000=\$12,000

Now, the amount increase each month=(12000)/(12)=\$1000

Let r be the rate of growth each month, then

r% of $120,000=1000

\Rightarrow(r)/(100)*120000=1000\n\Rightarrow\ r*1200=1000\n\Rightarrow\ r=(1000)/(1200)=0.833\%

Answer:

0.797%

Step-by-step explanation:

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Describe the tender clearance and transfer procedure for: a ‘Heaven Sent’ — a large day spa with 30 employees including beauty and massage therapists, hairdressers and nail technicians. Business can treat up to 200 clients a day. *

Answers

Did you get an answer for this ?

The formula for finding the volume of a cone is V = 1/3 ( fraction )
πr2h. The radius of a cone is 5 cm and the height of a cone is 10 cm. What is the approximate volume of the cone?

A) 2,356 cm3 (exponent )

B) 52 cm3 (exponent )

C) 262 cm3 (exponent )

D) 524 cm3 (exponent )

Answers

C. 262 cm^3

1/3 (pi)× 5^2× 10

1/3 (pi)× 25 × 10
1/3 (pi) × 250
250÷3
= 83.33333
83.33333 × pi

= 261.79

round up to 262

Find the lcm and gcf of the following numbers using prime factorization 1. 45,36
2. 12,26,32
3. 15,45,60​

Answers

Answer:

1)3×3×5×2×2

2)2×2×2×2×2×3×13

3)5×3×3×2×2

The profits of two different manufacturing plants can be modeled as shown. Where x is the number of units produced at each plant.Plant 1 : P1 (x) = -0.03x^2 + 25x - 1500

Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700

Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation

Answers

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

brainly.com/question/2284746

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the answer to this is 600