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2 years ago

Solve the proportion: 35=x20

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

4 0

Answer:

either x = 1.75 or x = 700 , question wasn't clear

Step-by-step explanation:

Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)

If you meant to type 20x

35 = 20x

÷20 ÷20 *

1.75 = x

*divide both sides by 20 to isolate x

x = 1.75

(x = $\frac{35}{20}$ )

--------------------------------------------------------------------------

If you meant to type x/20

35 = $\frac{x}{20}$

·20 ·20 *

700 = x

*multiply both sides by 20 to isolate x

700 = x

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Geometric Series assistance

Levart [38]

we have been asked to find the sum of the series

$\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}$

As we know that a geometric series has a constant ratio "r" and it is defined as

$r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}$

The first term of the series is $a_1=\left(\frac{1}{3}\right)^{1-1}=1$

Geometric series sum formula is

$S_n=a_1\frac{1-r^n}{1-r}$

Plugin the values we get

$S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}$

On simplification we get

$S_5=\frac{121}{81}$

Hence the sum of the given series is $\frac{121}{81}$

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3 years ago

A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit th

pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

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3 years ago

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Burka [1]

e + 1 13/16 = 2 5/16

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e = 2 5/16 - 1 13/16

borrow from the 2

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3 years ago

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3 years ago

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Alchen [17]

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