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madreJ [45]
3 years ago
5

What common base can be used to rewrite each side of the resulting equation? 2 4 16 32

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
6 0

Answer:2

Step-by-step explanation:

Sauron [17]3 years ago
4 0

Answer:

2

Step-by-step explanation:

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What is the solution to the system of equations graphed below?
aniked [119]
The answer is a. (2, -3).
8 0
3 years ago
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At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b
Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

  So, Tanya bought 3 items, costing x+x+x = 3x

  Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost,   [item cancels out]

 

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

 The cost for Tony's items was:  (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

 

"Tanya and Tony paid the same amt. of money"

   This is an equation (the same amount means equals)

    Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

          3x      =     4(x-2.25)

 

Now, the math:

b.) Solve the equation. Show your work.

          3x      =     4(x-2.25)

          3x  =  4x - 9.00                 [distributive principle; multiply]

         -x = -9.00                      [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

          x = 9.00           [multiply both sides by (-1)]

                 [note:  to "solve for x" means to find the value(s) of x that make the equation true,

                          so let's see if it is true --]

c.) Check your solution. Show your work.

  Is              3x      =     4(x-2.25), when x=9.00    ?

          3(9.00) = 4(9.00-2.25)    ?

           27.00 = 36.00 - 9.00    ?

             27.00 = 27.00    ?yes

 

d) State the solution in a complete sentence.

     The problem started with:  "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

     I would write:   "Tanya bought 3 items, each costing $9.00.  Tony bought 4 items, each costing $6.75.  Tanya and Tony each paid $27.00."  

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
50 points and brainliest for whoever gives the best and clearest answer !
lidiya [134]
I believe the answer is 33 3 to the fourth power subtract it from (24x2)
6 0
3 years ago
Read 2 more answers
HELP ASAP ROCKY!!!!!!
vekshin1

Answer:

32.5

Step-by-step explanation:

there are 4 rows

1  = 3

2 =  5

3 =  2

so there is 10 numbers

We go for the middle number which is 2-3 so the answer must be 32.5.

We know it is between 2-3 as the same as 1-10

1,2,3,4,5, ------ 6,7,8,9,10

So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11  then 11/2 = 5.5  - this means 5.5 = 32.5 as 33 would be the 6.

8 0
3 years ago
Read 2 more answers
A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day
____ [38]

Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that r(t) = 230 + 8t + 0.9t^2

The population of insects after x days is given by:

P(t) = \int_{0}^{x}r(t)dt

So

P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)

P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}

P(x) = 230x + 4x^2 + 0.3x^3 + K

In which K is the initital population(which is 50). So

P(x) = 230x + 4x^2 + 0.3x^3 + 50

After 6 days:

P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

7 0
3 years ago
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