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VMariaS [17]
3 years ago
11

Which property is shown by 9+8=8+9?

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

C. Commutative property of addition

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Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded
Natasha_Volkova [10]

Answer: 34767.2

Step-by-step explanation:

given p = $16,000, n = 14 years, y = 5.7%

amount in bank after 14 years = p ( 1 + </100)

= 16,000 (1 + 5.7/ 100) 14

= 34767.2

5 0
3 years ago
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Selene's checking account balance was -$34, and then she withdrew $46 more. What is her checking account balance after the withd
raketka [301]
D. -80
subtract 46 by -34
8 0
3 years ago
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Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

5 0
3 years ago
The length of a rectangle is twice its width. The perimeter of the rectangle is 24 inches. Write a system of equations in 2 vari
kenny6666 [7]
Let us assume the width of the rectangle = w
Let us assume the length of the rectangle = l
Then
l = 2w
Also 
Perimeter of the rectangle = 2 (l + w)
24 = 2 (2w + w)
24 = 2 (3w)
24 = 6w
w = 24/6
    = 4 inches
Now 
The length of the rectangle = 2w
                                            = 2 * 4 inches
                                            = 8 inches
So the length of the rectangle is 8 inches and the width is 4 inches.
4 0
3 years ago
a missing fraction on a number line is located exactly halfway between 3/6 and 5/6. what is the missing fraction
FinnZ [79.3K]
The missing number is 4/6

the number line goes 1/6 2/6 3/6 4/6 5/6 6/6
6 0
3 years ago
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