Please help me!!!!!!

Which expression is equivalent to the given expression?

Studentka2010 [4]

Which expression is equivalent to the given expression?

15(12-x)

A. $15*12-x$

hope this help

4 0

2 years ago

What is 243 written as a power of a number?

Zigmanuir [339]

A to the power of b

a^b

a = base

b = exponent

SO

10^243 or 10 to the power of 243.

You can use other numbers also.

Hope i helped!!

8 0

2 years ago

A board 1.2 m long is cut into two so that the length of the longer piece is 15cm longer than twice the length of the shortest p

MAXImum [283]

Answer:

The length of the shorter piece=0.35 m

Step-by-step explanation:

Let the lengths be as follow;

Shorter piece=x

Longer piece=15 cm longer than twice shorter piece(x)

Since 1 m=100 cm, 15 cm=15/100=0.15 m

Longer piece= (2×x)+0.15=2x+0.15

Total length=1.2 m

Total length=shorter piece+longer piece

Replacing;

1.2=x+2x+0.15

3x=1.2-0.15

3x=1.05

x=(1.05/3)=0.35

The length of the shorter piece=x=0.35

4 0

2 years ago

21. Angela until the same restaurant four times. Each time she ordered a salad and left at $ 5 tip. She spent a total of $ 54. W

Natalka [10]

So if Angela entered the same restaurant 4 times, we have 4 "instances" of her entering the restaurant.

Each instance, she ordered a salad. The price of this salad is unknown, so we'll say the price is "S".

Each instance, she payed a $5 tip.

So we have 4 instances of spending S, and 4 instances of spending 5.

We know this totals 54.

Knowing all of this information, we can write our equation like this:

4(S + 5) = 54

Divide

S + 5 = 13.50

Subtract

S = 8.50

The cost of salad is $8.50

3 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