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Katena32 [7]
3 years ago
14

What kind of proportion tells that when one quantity is increasing or decreasing, the other quantity also increasing or decreasi

ng? A. Direct Proportion B. Indirect Proportion C. Partitive Proportion
Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

a

Step-by-step explanation:

Direct proportion is when two numbers move in the same direction. If one of the numbers increase, the other number increases and if the one of the numbers decrease, the other number decreases. The magnitude of the movement of the numbers is bounded by a constant

The expression for direct proportion is

y ∝ kx

where k is the constant

let illustrate with an example :

If x = 10

k = 4

y = 10 x4 = 40

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Need to find what X is......56.4/14.4 = x/10.8
k0ka [10]

Answer:

x = 42.3.

Step-by-step explanation:

56.4 /14.4 = x / 10.8

Cross multiply:

14.4x = 56.4 * 10.8

x = (56.4 * 10.8) / 14.4

x = 42.3


6 0
4 years ago
Read 2 more answers
The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1
erma4kov [3.2K]
a_1=860
a_2=\dfrac{a_1}5
a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}
\vdots
a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}

The kth partial sum is

\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}
S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}
\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)

\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)
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S_k=1075-\dfrac{1075}{5^k}

As k\to\infty, we're left with

\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075

which is the upper limit to the population of the bees.
4 0
3 years ago
Show how to use the distributive property to<br> simplify 4(5 + x).
goblinko [34]
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5 0
4 years ago
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amm1812

Answer:

-5 ≤ y ≤ 5

Step-by-step explanation:

maximum y value is 5

minimum y value is -5

-5 ≤ y ≤ 5

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The sum of three consecutive odd integers is 36.<br> Please help me with that.
storchak [24]

Answer:

11, 12, 13

Step-by-step explanation:

n, n + 1, n+2

sum is 36

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3 years ago
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