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Ludmilka [50]
3 years ago
7

4/6 as a sum of unit fractions

Mathematics
2 answers:
ikadub [295]3 years ago
7 0
It would be 2/3 because you have to simplify it.
AURORKA [14]3 years ago
5 0
1/6 +1/6+1/6+1/6.Remember a unit fraction has 1 as a numerator. So since in 4/6 the numerator is 4 then you would have to do the unit fraction 1/6
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You are in charge of finding a venue for a concert. With the average square feet per
stiks02 [169]

Answer:

<em>184,499 will fit, Yes</em>

Step-by-step explanation:

<u>Proportions</u>

We'll use proportions to answer the question and find the number of students fit into a building of 300 ft x 300 ft. The area of the building is

300\ in\times 300\ in=90000\ in^2

We are given a factor of 2.05 students per square feet, thus the number of students that fit into the building is

2.05\cdot 90000\ in^2=184500

Since 184500 is greater than 142551 people required, they easily fit into that space.

The closest answer is

184,499 will fit, Yes

3 0
3 years ago
A guy wire runs from the top of a cell tower to a metal stake in the ground. Lincoln places a 10-foot tall pole to support the g
Lisa [10]

Step-by-step explanation:

2 right triangles are formed.

x is the angle btw wire and grnd

tan x = 10/5 = 2

tanx = ht of tower/(5+14)

2 = tower ht/19

tower ht = 38

length of wire =

\sqrt{ {38}^{2} +  {19}^{2}  }

7 0
2 years ago
Solve x2 + 4x − 4 = 0
hoa [83]

Answer:

third option

Step-by-step explanation:

Given

x² + 4x - 4 = 0 ( add 4 to both sides )

x² + 4x = 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4, that is

(x + 2)² = 8 ( take the square root of both sides )

x + 2 = ± \sqrt{8} = ± 2\sqrt{2} ( subtract 2 from both sides )

x = - 2 ± 2\sqrt{2}

7 0
3 years ago
Read 2 more answers
Skylar owns a trucking company. For every truck that goes out, Skylar must pay the driver $11 per hour of driving and also has a
jeyben [28]

Answer:

The set of needed equations is

h = 30 m

11 m +  3  h = 909  where

the driver drove for m hours.

h : distance covered in m hours

Step-by-step explanation:

Here, according to the question:

The per hour rate of driver  = $11

The gas maintenance expense = $3 per mile.

The total distance covered by drives is 30 miles per hour.

The total  expenses paid to driver  = $909

Now, let us assume the driver drove for m hours.

The average speed of driver was 30 miles / hour

⇒ Driver covers 30 miles in 1 hour

SO, distance covered in m hours  = h = m x 30 = 30 m

or, h = 30 m

So,according to the question, the total amount paid :

Charges of m hours driving + maintenance charges for h miles

= 11 m + 3( h)

or, 11 m +  3  h = $909

Hence the set of needed equations is

h = 30 m

11 m +  3  h = 909

4 0
3 years ago
After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denomi
RoseWind [281]

If I've read this correctly, it looks like this.

\dfrac{(x + 1)}{2 - \dfrac{(x + 2)}{3x}}

If that is correct, then the first step is to put the top part of the denominator over 3x

\dfrac{(x + 1)}{\dfrac{6x - (x + 2)}{3x}} = \dfrac{(x + 1)}{\dfrac{5x -2}{3x}}

The next part is to flip a three tier fraction. I'm afraid I have to show what happens. My latex is not that strong.

What you get is

\dfrac{3x*(x + 1)}{(5x - 2)}

This is just about your final answer. You could write it as

\dfrac{3x^2 + 3x}{(5x - 2)}

6 0
3 years ago
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