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frozen [14]
3 years ago
5

Which of the following has the lower unit rate? $$$$$$$$$$$$$$$$$$$$

Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

Options?

Step-by-step explanation:

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Suppose that y is directly proportional to x and that y = 10 when x = 3. Complete parts (a) and (b). (a) Find the constant of pr
Yuliya22 [10]

For this case we have that if "y" varies directly with "x", then it is true that:

y = kx

Where:

k: It is the constant of proportionality

We have according to the data that:

10 = k (3)

We find the value of "k":

k = \frac {10} {3}

Having "k", we find "y" when x = 6:

y = \frac {10} {3} (6)\\y = \frac {60} {3}\\y = 20

ANswer:

k = \frac {10} {3}\\y = 20

4 0
3 years ago
What is 4/5 - 2/3?<br> Someone please answer.<br> I have to write up to 20 characters so yh.
disa [49]
Change 4/5 - 2/3 so that the denominator is th same. Let’s try 15.
So, 12/15 - 10/15.
Then, subtract to get 2/15.

Hope it helped :)
8 0
3 years ago
Read 2 more answers
At 9 AM there are 37 bacteria in a dish and they start doubling every 15 minutes. At t = 274 minutes an
givi [52]

Answer:

5,035,041

Step-by-step explanation:

Exponential growth:

y = a(1 + r)^{x}

y = future amount

a = initial amount

r = growth rate

x = number of periods

Part A: growth at the rate of doubling each 15 minutes for 274 minutes

Each period is 15 minutes.

a = 37

x = 274/15 = number of periods

r = 100%

y = 37(1 + 1)^{\frac{274}{15}

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

Exponential decay:

y = a(1 - r)^{x}

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes

Part B: decay at the rate of 6% each 24 minutes for 326 minutes

y = 37(1 + 1)^{\frac{274}{15}}(1 - 0.06)^{\frac{326}{24}}

y = 5035041

Answer: 5,035,041

8 0
3 years ago
Z
Natali5045456 [20]
i think its C, 204 units
5 0
3 years ago
The cost to ride a ferris wheel is $2.00 per person. The ferris a wheel has a capacity of
irakobra [83]

Answer:

When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)

In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

p ≤ 64

And we also should add the restriction:

0 ≤ p ≤ 64

(Because p can't be smaller than zero)

Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

7 0
3 years ago
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