What is the area of this tile 4 in long by 1 in short?

9. What value of m makes this equation true? 1/2 (8m - 18) = 31

OverLord2011 [107]

Answer:

m = 10

Step-by-step explanation:

The value of m that would make this equation true is 10. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with 1/2 (8m - 18) and multiply both 8m and 18 by 1/2. Because half of 8 is 4 and half of 18 is 9, your new equation would be 4m - 9 = 31. From here you would add nine to both sides to finish combining like terms. The equation from this point should be 4m = 40. To find the value of m, you then have to divide both sides by 4, leading to the equation/solution of m = 10.

7 0

2 years ago

Choose the correct simplification of the expression (c2)9.

Lapatulllka [165]

The correct simplification of the expression is 9c^2 i think.

5 0

3 years ago

Read 2 more answers

Marshall and Peter went to lunch at a cafe. They ordered a spinach salad for $4.15, a tuna sandwich for $6.35, and 2 glasses of

garri49 [273]

Answer:

$1.05

Step-by-step explanation:

The amount of money they should pay is 4.15+6.35+2*1.1+1.25 = $13.95

The change is 15-13.95=$1.05

8 0

2 years ago

What is the slope of the line?

vampirchik [111]

Answer:

The slope is 2/1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

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Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0

1 year ago