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Paha777 [63]
3 years ago
8

If y varies directly as x, and y is 400 when x is randy is r when x is 4, what is the numeric constant of variation in this rela

tion?
10
40
100
Mathematics
1 answer:
juin [17]3 years ago
5 0

The numeric constant of variation is 100

Step-by-step explanation:

Direct proportion means that increase in one variable cause increase in other variable

Here,

It is given that

y varies directly as x

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

y = kx

Given that

y = 100 when x = 4

Putting the values

400 = k * 4\\k = \frac{400}{4}\\k = 100

The numeric constant of variation is 100

Keywords: Proportion variation

Learn more about direct proportion at:

  • brainly.com/question/1234767
  • brainly.com/question/1232765

#LearnwithBrainly

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Hi, What is the lowest positive integer greater than 1, which when divided by 5 or 8 leaves a remainder of 1
ludmilkaskok [199]
Very interesting question!

Let's try to get something that would work for just 5 for now.
Any of these numbers would leave a remainder of 1 when divided by just 5:
6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, ...
Notice that they all look like 5*(something) + 1. Basically, they are all multiples of 5 plus 1.

Let's see what would work for just 8:
9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, ...

Are there any matches... AHA! It's 81. This is the lowest positive integer greater than 1 that follows the rule for both 5 and 8.
3 0
3 years ago
Use the order of operations to find the value of the expression. 2 + 3 × 16 − 2 × 21 − 3
kolezko [41]

Answer:

5

Step-by-step explanation:

=2+(3)(16)-(2)(21)-3

=2+48-(2)(21)-3

=50-(2)(21)-3

=50-42-3

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Hope this helped! :)

6 0
2 years ago
If the population of a town grew 15% up to 76,894, what was the population lest year?
frozen [14]
Let's first find the equation to find what the population went up to. X, will be the population of last year.
1.15x=76,894
Now, we need x by itself, so we need to divide both sides by 1.15.
76,894÷1.15≈66,864
There are decimals, but for this problem, hae .3478 of a person would not fit.
We can check our answer.
66,864×.15=10,029.6
10,029.6+66,864=76,893.6 (rounds up to 76,864)
So the population of the town last year was about 66,864 (66,864.3478) people.
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Find each value if f(x) = 2x - 1 and g(x) = 2 - x2.
bixtya [17]
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3 years ago
There are 35 men and 25 women on a bus. If 20 married couples leave the bus, the number of men is how many times the number of w
Angelina_Jolie [31]

Answer:

3

Step-by-step explanation:

15 men would be left

5 women would be left

6 0
3 years ago
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