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satela [25.4K]
3 years ago
6

What is the value of this expression?

Mathematics
1 answer:
mylen [45]3 years ago
6 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

I find it convenient to remember that a logarithm is an exponent.

  \log_a(a^b)=b

__

  log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)

  = 3 -1 = 2

The value of the expression is 2.

__

Some calculators can compute this for you directly.

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Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each
stich3 [128]

Answer:

<em>He bought 6 hotdogs and 2 drinks</em>

Step-by-step explanation:

<u>System of Equations</u>

Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.

To solve the system of equations, we'll call the variables:

x = number of hotdogs

y = number of drinks

The first condition yields the equation:

4.50x + 2.25y = 31.50          [1]

It's also known he bought 3 times as many hotdogs as drinks, thus:

x = 3y         [2}

Substituting [2] in [1]:

4.50(3y) + 2.25y = 31.50

Operating:

13.5y + 2.25y = 31.50

15.75y = 31.50

y = 31.50/15.75

y = 2

And

x = 3*2 = 6

He bought 6 hotdogs and 2 drinks

5 0
3 years ago
How many halves are in three wholes
vlabodo [156]

Answer:

6

Step-by-step explanation:

1/2 + 1/2 = 1

1/2 + 1/2 = 1

1/2 + 1/2 = 1

There are 6 halves that equal 3.

Another way to do this is:

1/2x = 3

3 / 1/2 = 6

x = 6

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3 years ago
2√48 - 3√12 + 3√27 mmm
algol13

Answer:

Step-by-step explanation:

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A shoekeeper uses this formula to work out the
ElenaW [278]

Answer:

12.6

Step-by-step explanation:

1.8X7

7x1=7

0.8x7=5.6

7+5.6=12.6

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Answer:

yes suree

Step-by-step explanation:

8 0
3 years ago
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