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Novosadov [1.4K]
2 years ago
5

What is the constant of proportionality in the equation 3y = 2x

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
5 0

Answer:

2/3

Step-by-step explanation: recall that y varies directly with  x

this gives  y =kx.

where k is the constant of proportionality.

divide 3y = 2x  by 3

this gives y =2/3 x .  the coefficient of x is 2/3 which is the constant.

omeli [17]2 years ago
3 0

Answer:

k = 2/3

Step-by-step explanation:

When a variable y directly relates to another variable x, we can say:

y=kx

Given the equation, we can say

3y=2x

y= 2x/3

Putting the value of y from above discussion

kx = 2x/3

x is being cancelled on both sides of equation

k= 2/3

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How many leap years occur between the<br> years 1700 and 1875?
Zina [86]

Step-by-step explanation:

A leap year occurs every 4th year.

So, 1875 - 1700 = 175

Now let us divide 175 by 4

175 \div 4 = 43.75 \\  here \: 43 \: represents \: the \: number \: of \:  \\ leap \: years.

So, 43 leap years occur between the years 1700 and 1875.

6 0
2 years ago
Solve 11 - 1/2y= 3 + 6x for y.​
Ilia_Sergeevich [38]

Answer:

y = 12x+16

Step-by-step explanation:

Simplify both sides of the equation then isolate the variable.

Step 1, add 11 to both sides.

−1 /2 y+11+−11=6x+3+−11

−1 /2 y=6x−8

Step 2, divide both sides by (-1)/2.

You will be left with

y = 12x+16

3 0
2 years ago
What do the symbols of mirrors and glass represent in this
luda_lava [24]

Question:

Read the excerpt from Julius Caesar, act 1, scene 2.

CASSIUS: ‘Tis just; And it is very much lamented, Brutus, That you have no such mirrors as will turn Your hidden worthiness into your eye, That you might see your shadow. I have heard 5 Where many of the best respect in Rome– Except immortal Caesar‐speaking of Brutus, And groaning underneath this age’s yoke, Have wished that noble Brutus had his eyes.

BRUTUS: Into what dangers would you lead me, Cassius, 10 That you would have me seek into myself For that which is not in me?  

CASSIUS: Therefore, good Brutus, be prepared to hear. And since you know you cannot see yourself So well as by reflection, I, your glass, 15 Will modestly discover to yourself That of yourself which you yet know not of.

Answer:

The correct choice is D)

Explanation:

Cassius speaks of Brutus as one who is unable to see or know his own value and presumes to help him therewith. He does this by pointing out that many of the well respected people in Rome wish that he were in Caesars shoes as King.

Cheers!

7 0
2 years ago
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
5 0
2 years ago
What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1
navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

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

In summary, the answer is 
a1=3; an=an-1+4
which is choice B
4 0
2 years ago
Read 2 more answers
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