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3 years ago

Please tell me the first step in evaluating: 3(x + 2) = 5 Then simplify it completely.

1 answer:

6 0

So what you need to do in an equation like this is first to distribute meaning the number directly outside the parentheses needs to be multiplied by the numbers inside the parentheses:
3x + 6 = 5 then: subtract each side by six
3x = -1 now: divide each side by 3 to get x by itself
x = -1/3

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How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?

konstantin123 [22]

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

4 0

2 years ago

A picture frame is shaped like a rectangle whose perimeter is 196 cm. The length is 6 times long as the width

lbvjy [14]

L=length W=width
perimeter=2Lx2W
196=2L+2W

Length can be written as 6W because it is 6 times the width. We then substitute this in so all the terms are the same

196=2(6W)+2W
196=12W+2W
196=14W
W=14cm
L= (14x6) 84cm

3 0

3 years ago

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iren2701 [21]

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7 0

3 years ago

Read 2 more answers

Help please!

Tamiku [17]

It's a parabolic curve, so quadratic is best

6 0

3 years ago

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A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots.

andriy [413]

Answer:

$ 1.96

Step-by-step explanation:

Number of spots with outcome of $1 = 9

Number of spots with outcome of $2 = 18

Number of spots with outcome of $10 = 1

Total number of spots = 28

Probability that ball will land on $1 = $\frac{9}{28}$

Probability that ball will land on $2 = $\frac{18}{28}$

Probability that ball will land on $10 = $\frac{1}{28}$

The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.

i.e. for this case:

Expected Value will be:

$(1 \times \frac{9}{28})+(2 \times \frac{18}{28})+(10 \times \frac{1}{28})\\\\ =1.96$

This means, on average the player should expect to win $ 1.96

7 0

3 years ago