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never [62]
4 years ago
12

Mana is saving to buy a new bicycle. The equation d = 12w represents the amount in dollars, d, that Mana saves in w weeks.What i

s the constant of proportionality? What does it represent in this situation?
Mathematics
1 answer:
Alchen [17]4 years ago
6 0

Answer:

Constant of proportionality is 12

The cost of buying new bicycle changes  12 dollar per week

Step-by-step explanation:

we are given

The equation as

d=12w

where

d represents the amount in dollars

w is number of weeks

now, we can compare it with

y=kx

where

k is constant of proportionality

we can compare

and we get

k=12

So,

Constant of proportionality is 12

we can see that

12=\frac{d}{w}

So,

The cost of buying new bicycle changes  12 dollar per week

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Please help me with the 3rd question!!! I'll give you 91 points now, please.
saw5 [17]

Answer:

At the end of the day 797 lockers were closed.

Step-by-step explanation:

So first of all you need to find out how many even numbers there are from 1-900 (which is 450) so you know that 450 are open. In the 3 multiplication tables every second number is even so you know that half of the 450 lockers that was opened was closed again: this meant that 225 lockers remained open.

You also know that every number in the 4 multiplication tables is the second number in the 2 multiplication tables so half of them are closed but you also know that the 900th locker was opened so now you have 113.

So to conclude you do 900-113 which gives you 797 (this is because 113 is the amount of lockers that is open)

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4 years ago
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Rama09 [41]

Answer:

y=2x+1

Step-by-step explanation:

6 0
3 years ago
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lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

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3 years ago
A certain brand of coffee costs $2.99 for 11.3 ounces. What is the unit rate? Enter your answer, rounded to the nearest cent, in
Marysya12 [62]
To find the unit rate, you would do 2.99 / 11.3 and get about 26 cents. So the unit rate would be 26 over 1 ( 26/1 ).


Hope I helped! 

Marsh
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3 years ago
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