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seropon [69]
3 years ago
13

6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will

Mathematics
1 answer:
Orlov [11]3 years ago
8 0

9514 1404 393

Answer:

  3.5 hr

Step-by-step explanation:

We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...

  (lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35

Multiplying by 35/8, we have ...

  (35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5

It will take 8 lumberjacks 3.5 hours to cut down 35 trees.

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Explain why (–4x)^0 = 1, but –4x^0 = –4.
Nastasia [14]
Any number raised to power zero = 1. 

Note that 0 raised to power 0 is not 1, it is undefined.

Therefore:

(-4x)⁰ = 1

For the second part  -4x⁰ = :

x⁰ = 1,    -4x⁰ = -4*(1) = -4

 This is true on the assumption that x is not equal to zero.

I hope this explains it.
8 0
4 years ago
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9
neonofarm [45]

Answer:

Step-by-step explanation:

1) 36:81

2)81 pints

3)14.625 gallons of paint

6 0
3 years ago
Rational algebraic expression <br> x²-16/x²+8x+16
abruzzese [7]

(x - 4)/(x + 4)

Step-by-step explanation:

\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}

<em>Note :</em>

  • a² - b² = (a + b)(a - b)
  • (a + b)² = a² + 2ab + b²
7 0
3 years ago
6d+8=3d+1 solve for the value of d
Yanka [14]

Answer:

-7/3

Step-by-step explanation:

6d + 8 = 3d + 1 (subtract 3d from both sides)

3d + 8 = 1 (now subtract 8 from both sides)

3d = -7 (divide both sides by 3)

d = -7/3

7 0
3 years ago
Read 2 more answers
A map has a scale of 1 cm to 14 km.
Alenkinab [10]

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

6 0
3 years ago
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