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schepotkina [342]

3 years ago

11

A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday . He instal

led the rest of the fence in equal lengths on Wednesday through Friday. How many meters of fencing did he install on each of the last three days?

1 answer:

kvasek [131]3 years ago

8 0

6.55 meters of fencing. Simply subtract 13.45 meters and 9.5 meters from 42.6 meters, and then divide by 3.

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If n+h/5=f+9/9, then n/5=

Ann [662]

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Question
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$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

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Split the fraction on the left
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$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

------------------------------------------------------------------
Take away h/5 from both sides
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$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

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Change the denominator to be the same
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$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

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Put it into single fraction
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$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

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Rearrange (This step may not be necessary)
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$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

3 years ago

If 3x+2=11<br> then x= ?

leonid [27]

Answer:

X=3

Step-by-step explanation:

What you have to do is minus 2 from 11 and you get 9

Now divide 3 into 9 and you get 3

x=3 you can also plug 3 for x to see if the equation is right

8 0

3 years ago

Read 2 more answers

Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th

RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

$\text{Surface area of cylinder}=2\pi rh$ ,where,

r = Radius of cylinder,

h = Height of cylinder.

$\text{Surface area of cylinder}=2\pi r*5$

$\text{Surface area of cylinder}=10\pi r$

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

$1000=10\pi r$

Upon dividing both sides of our equation by 10 pi we will get,

$\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}$

$31.8309886=r$

$r\approx 31.83$

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

4 0

3 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

2 years ago

Can someone plz help me? :(

azamat

Answer:

add 6 Cubes to the other side

Step-by-step explanation:

Since there are 3 cubes on one pan

and nine on the other you would need to

subtract 9-3

6 cubes to make them balance!

5 0

2 years ago