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ella [17]
3 years ago
6

Two groups collect litter along the side of a road. It takes each group 5 minutes to clean up a 200-yard section. How long does

it take to clean up 2 miles? Explain how you solved the problem.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0
5 minutes ... 200 yards
x minutes = ? ... 2 miles = <span>3520 yards

</span><span>To convert 2 miles to yards, you have to </span>multiply 2 by 1760<span>, because 1 mile equals to 1760 yards: 2</span> * 1760 = 3520 yards.
<span>
If you would like to know how long does it take to clean up 2 miles, you can calculate this using the following steps:

5 * 3520 = 200 * x
17600 = 200 * x    /200
x = 17600 / 200
x = 88 minutes

Result: It will take 88 minutes.
</span>
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Simplify the following expression and write in standard form: 3 x (6y - 4y + 5x) PLEASE HELP
mylen [45]

Answer: 15x^2+6xy

Step-by-step explanation: 3x(6y−4y+5x)

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8 0
3 years ago
Find f.<br><br> A) 7.4<br><br> B) 8.2<br><br> C) 10.5<br><br> D) 11.1
tatyana61 [14]
F=72

g=6

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

\cos { \left( F \right)  } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }

Therefore:

\cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }

\\ \\ 12e\cdot \cos { \left( 72 \right)  } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right)  } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 }  } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right)  }  \right) +36 }

But what is e?

E=76

G=32

g=6

And:

\frac { e }{ \sin { \left( E \right)  }  } =\frac { g }{ \sin { \left( G \right)  }  }

Which means that:

\frac { e }{ \sin { \left( 76 \right)  }  } =\frac { 6 }{ \sin { \left( 32 \right)  }  } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  }

If you take this value into account, you will discover that f is...

f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } \left( \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } -12\cos { \left( 72 \right)  }  \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)

So I would have to say that the answer is approximately (c).
6 0
3 years ago
A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin
Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be "x+24"

We know the ratio of Oak to Pine tree is 4:10 or \frac{4}{10}

⇒\frac{x}{x+24} = \frac{4}{10}

Multiplying both side by x+24

⇒ x= \frac{4(x+24)}{10}

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ x= \frac{4x+96}{10}

Multiplying both side by 10

⇒ 10x= 4x+96

subtracting both side by 4x

⇒ 6x= 96

dividing both side by 6

⇒x= \frac{96}{6}

∴ x= 16

Hence, There are 16 Oak trees in the forest.

5 0
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