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Ira Lisetskai [31]
3 years ago
15

Simplify without exponents. 1/3(3^-2 3^5)

Mathematics
1 answer:
Over [174]3 years ago
5 0
1/3 x (3^-2  x  3^5)
1/3 x (1/3^2 x 243)
1/3 x (1/9 x 243)
1/3 x 27
9
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Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0
3 years ago
Determine whether each table represents a linear, quadratic, or exponential function and justify your answer. Write the correct
Oksanka [162]

Answer:

exponential

Step-by-step explanation:

it gets smaller as the x increases

6 0
3 years ago
Find the surface area of the regular dodecahedron.<br><br> PLEASE HELP!!
kakasveta [241]
12*123.9=1486.8
plz rate brainlyist

5 0
3 years ago
Find the exponential function that satisfies the given conditions: Initial value = 70, decreasing at a rate of 0.43% per week
dimulka [17.4K]
That'd be y = 70* (1-.00043)^t, where the rate of decrease is really 0.43% and t denotes the # of weeks.  

This simplifies to y = 70*(0.00057)^t. 
                                 
4 0
3 years ago
Read 2 more answers
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided t
hram777 [196]

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

8 0
2 years ago
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