Which expression is equivalent to (m2p–2r7)(m–5p4r2)?


Answer 1






Step-by-step explanation:


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bananas cost $0.80 a pound. in a relation, the input is the number of pounds of bananas and the output is the cost.


Yes because one input (number of pounds of banana) will always have the same output (cost).


True. This isn't really a question but it is a statement

Step-by-step explanation:

1 pound       80 cents

2 pounds     1.60

3 pounds     2.40

and so on

Question 2 Unsaved Simplify. 3c812c12


I think the answer would be that the dimplified form of 3c8/12c12 is

What is 6 to the power of 8 in exponential form?


Answer: 1.7 x 10^6

Step-by-step explanation:

6^8 = 1,679,616

1,679,616 = 1.7 x 10^6

Answer: its b, 6/18

Step-by-step explanation:

the states of nature are defined so that they are which of the following, meaning that at least one state of nature must occur at a given time for a chance event? mutually exclusive optimistic outcomes collectively exhaustive certain events


The states of nature must be mutually exclusive and collectively exhaustive.

The states of nature in decision theory are defined as mutually exclusive and collectively exhaustive, meaning that they are the only possible outcomes of a chance event, and only one of them can occur at a given time.

In other words, the states of nature represent all the possible outcomes of a chance event, and they are mutually exclusive because they cannot occur simultaneously. For example, if the states of nature are "rain" and "no rain," then either it will rain or it will not rain at a given time, but not both.

The term "collectively exhaustive" means that the set of states of nature includes all possible outcomes, so that there are no other possibilities beyond the ones listed. This ensures that the decision maker has considered all possible outcomes when making a decision.

To learn more about collectively exhaustive., visit:



Three-fourths of a number is at least -18​



x ≥ - 24

Step-by-step explanation:

Let's solve this with an equal sign and then decide how to handle the at least part.

3/4 x = -18              Multiply by 4

3/4 * 4 x = -18*4     Cancel the left, multiply the right.

3x = -72                  Divide by 3

x ≥ -24

You need  the greater than to indicate that 3/4 of a number can give something larger than - 18.

You need the equal sign to fulfill at least.

At least, in this question means "get larger."

so x > - 24


3/4*X < -18

( put a line underneath the less than sign ) ( Astric's means multiplication )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Rick and Tom rented party halls. The Celebrations party hall charged Rick a rental fee of $65, including music, and $25 per guest. The Feast party hall charged Tom a rental fee of $40, $25 for music, and $25 per guest.If each of them spent the same amount of money, how many guests attended Rick and Tom's party?

Five more guests attended Rick's party than Tom's party.
Fifteen more guests attended Tom's party than Rick's party.
The same number of guests attended Rick and Tom's party.
Twenty-five more guests attended Rick's party than Tom's party.



  C. The same number of guests attended Rick and Tom's party.

Step-by-step explanation:

Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...

  65 +25R = 40+25+25T

  25R = 25T . . . . . . . . . . . . subtract 65

  R = T . . . . . . . . . . . . . . . . . divide by 25

The number of guests at each party is the same.