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vazorg [7]
3 years ago
13

11. Write 5 equivalent fractions for• 6/7.​

Mathematics
2 answers:
Ray Of Light [21]3 years ago
8 0

Step-by-step explanation:

\dfrac{6}{7}=\dfrac{6\cdot2}{7\cdot2}=\dfrac{12}{14}\\\\\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\\\\\dfrac{6}{7}=\dfrac{6\cdot4}{7\cdot4}=\dfrac{24}{28}\\\\\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\\\\\dfrac{6}{7}=\dfrac{6\cdot6}{7\cdot6}=\dfrac{36}{42}\\\\\dfrac{6}{7}=\dfrac{6\cdot7}{7\cdot7}=\dfrac{42}{49}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot10}{7\cdot10}=\dfrac{60}{70}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot100}{7\cdots100}=\dfrac{600}{700}\\\vdots

almond37 [142]3 years ago
5 0

\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer, \boxed{\frac{12}{14}}, I simply multiplied the numerator and denominator each by 2.  This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.

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What is the area of the regular hexagon ABCEF? Explain your reasoning.
Reil [10]

Answer:

1350\sqrt{3} units²

Step-by-step explanation:

The regular hexagon consists of 6 equiangular triangles

The area (A) of a equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the side length )

Here s = 30 , then

A = \frac{30^2\sqrt{3} }{4} = \frac{900\sqrt{3} }{4} = 225\sqrt{3} units²

Thus the area of the regular hexagon is

area = 6 × 225\sqrt{3}

        = 1350\sqrt{3} units² ← exact value

         ≈ 2338.3 units² ( to 1 dec. place )

4 0
2 years ago
What is 200%of 4420​
Naddik [55]

Answer:

8,840

Step-by-step explanation:

Multiply 4420 by 200% to get the answer 8840. You can also multiply 4420 by 2 to get the same answer as you would multiplying by 200%.

6 0
2 years ago
Read 2 more answers
Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

3 0
3 years ago
8. Derek was observing the change in water levels in his fish pond. The table below show the change in water levels of the fish
Alla [95]

Answer:

H. 2 3/4

Step-by-step explanation:

  • DATE                         >> WATER LEVEL CHANGE (inches)
  • August 25                  >>  -0.75
  • September 8              >>  -1 3/ 8
  • September 22            >>  2.5
  • October 6                    >>  -1/2
  • October 20                 >>  1 7/8

<u>Total change:</u>

  • 1 7/8 - (-0.75) =
  • 1+ 7/8 + 3/4 =
  • 1 + 7/8 + 6/8 =
  • 1 + 13/8 =
  • 1+ 1 5/8 =
  • 2 5/8

The closest answer option is H. 2 3/4

8 0
3 years ago
Every time Jason buys 2 red marbles he buys 1 blue marble. If y = the number of red marbles Jason buys, and x = the number of bl
ahrayia [7]
If y is the red marbles and x is the blue marbles, then for every x value you would be able to multiply by 2 to get the y value... it is the equivalent of looking at is as the slope rise/run or 2/1

D is the graph that shows this relationship.  Look at the x value and multiply by 2 for the y value.
5 0
2 years ago
Read 2 more answers
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