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3 years ago

Two integers, n and p, have a product of -18. What is the largest possible sum of n and p?

Mathematics

1 answer:

Naily [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The two integers could be -1 and 18.

18 + -1 = 17

Any other combination of integers that have a product of -18 would have a smaller sum.

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Twenty percent multiply by x is what

elena-s [515]

Well I need more details for x can you screenshot? It’s usually x*0.20 but I need more details to help you

7 0

3 years ago

The library has thirteen

dybincka [34]

Answer:

If the shelves are 4/5 full, then the total number of books in the library is 1,040 books

Step-by-step explanation:

13 roll of bookcases

All the bookcases have four shelves

Total number of shelves = 4 x 13

= 52 shelves

Each shelve holds 25 books each

Total number of books that can be in the shelves altogether = 52 x 25

= 1,300 books

If the shelves are 4/5 full, then the total number of books in the library is,

4/5 x 1300

= 1,040 books

5 0

3 years ago

Emma works on an ice cream truck. She has lots of ice creams in the cooler. On Friday, she gave out 58 ice creams. Now she has 7

damaskus [11]

Answer:

She had a total of 131 before she sold anything

Step-by-step explanation:

Add 58 and 73

4 0

3 years ago

What is the distributive property for 9−12x+6y=

Ulleksa [173]

Because there are no parentheses, I'm assuming you're asking for how to factor this using the GCF, which can be done like so:

9−12x+6y

Factor a 3 out of this expression.

3(3 - 4x + 2y)

The expression has been simplified using the distributive property in reverse.

8 0

3 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago