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xz_007 [3.2K]
3 years ago
11

What is the constant of proportionality (unit rate) for the following equation: t = 3 · x

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

Answer:what ever x equals times 3

Step-by-step explanation:

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The yearly income I, in dollars, for the dairy comes from milk production, which depends on the number C of dairy cows. Each dai
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Answer:

I=7000C

Step-by-step explanation:

Let C represent number of dairy cows.  

We have been given that each dairy cow produces 3500 gallons of milk per year. So amount of milk produced by C cows in 1 year would be 3500C gallons.

We are also told that the dairy sells milk for 2.00 per gallon. So yearly income I, in dollars for the dairy milk production would be 2.00 times the yearly milk production.

Since yearly milk production from C cows is 3500C, so Income would be:

I=2.00(3500C)

I=7000C

Therefore, the formula I=7000C represents yearly income (I) as a linear function of C.

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3 years ago
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What are all of the factors of 24 and 27
klasskru [66]

The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.

The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.

The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.

7 0
3 years ago
Rewrite the equation below so that it does not have fractions.
bearhunter [10]

Answer:

60+10x=6

Step-by-step explanation:

Hi there!

4+\displaystyle \frac{2}{3} x=\frac{2}{5}

To get rid of the fraction \displaystyle \frac{2}{3}, multiply both sides of the equation by 3 (the denominator):

3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}

To get rid of the fraction \displaystyle \frac{6}{5}, multiply both sides of the equation by 5 (the denominator):

\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6

I hope this helps!

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