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Natalka [10]
3 years ago
6

What number will fill in the blank ...... 1/3 = (blank)/6

Mathematics
2 answers:
diamong [38]3 years ago
3 0

Answer:

2

Step-by-step explanation:

1/3 = x/6

Equivalent fractions.

Multiply 3 by 2 for x

(1×2)/(3×2) = 2/6

Brrunno [24]3 years ago
3 0
1/3=2/6 because if you divide 2/6 by two or multiply 1/3 by two then you would get 1/3 or 2/6.
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Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12
GuDViN [60]

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Step-by-step explanation:

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Fed [463]

Answer:

z=44

Step-by-step explanation:

One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.

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5 0
2 years ago
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
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