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elixir [45]
3 years ago
9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

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the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley
Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, P=48\textrm{ m}

Length is 5 times the width.

Let width be x.

So, as per question,

Length,l = 5x

Now, perimeter of rectangle is given as:

P=2(l+b)

Plug in 48 for P, 5x for l and x for b.

48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4

Therefore, width is 4 m.

Length is 5x=5\times 4=20 m.

8 0
3 years ago
Determine the equation of the line given by the graph.
Lisa [10]

Answer:

Step-by-step explanation:

a) Y= 2/3X-1

5 0
2 years ago
What do the expressions (33) and (34) have in common?
lana66690 [7]
The two expressions are both rational numbers- they are ending, whole and have no decimals.
4 0
3 years ago
A right cone has radius 9cm and slant height 12cm. The radius and slant height are both multiplied by 2/3. Which of the followin
Olegator [25]

Answer:

<em>The surface area is multiplied by 4/9.</em>

Step-by-step explanation:

<u>Surface Area of a Cone</u>

Being r the radius and l the slant height of a cone, then its surface area is

SA=\pi r^2+\pi r l

Now let's think both the radius and the slant height are multiplied by the same factor k, i.e.

r'=kr

l'=kl

The new surface area is

SA'=\pi r'^2+\pi r' l'=\pi (kr)^2+\pi \cdot kr\cdot kl=k^2\pi r^2+k^2\pi rl

SA'=k^2(\pi r^2+\pi rl)=k^2\cdot SA

The new surface area is the  k ^2 times original SA. Since k=2/3, then

SA'=4/9\ SA

The surface area is multiplied by 4/9.

6 0
3 years ago
There are 34 cows 22 pigs and 6 horses on a farm write a simplified ratio of pigs to all farm animals
forsale [732]
A simplified ratio would be 11:20
6 0
3 years ago
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