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3 years ago

S=a+b+c solve for b Completely forgot how to do this

Mathematics

1 answer:

olganol [36]3 years ago

7 0

Answer:

b = S - a - c

Step-by-step explanation:

You just move every other term except for the one you're solving for to the other side, using the opposite operations

S = a + b + c

S - a = b + c

S - a - c = b

b = S - a - c

S = a + b + c

-b + S = a + c

-b = -S + a + c

b = S - a - c (we flipped all signs here to make b positive, like it's supposed to be. The justification for this is multiplying both sides by -1)

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Moises ate 10% of the candies in the bag. If Moises ate 16 candies, how many candies were there total in the bag?

Viktor [21]

Answer:

160

Step-by-step explanation:

10% of the candies is 16, and to get 100% from 10% is to multiply by 10.

So 10% *10 = 100%, then by association if 16 = 10%, then 16*10 will be the total 100%.

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3 years ago

last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

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3 years ago

How can exponents express such numbers as 16

KonstantinChe [14]

You can do 4 to the second power and get 16

7 0

3 years ago

Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

defon

Answer:

$P(X>34) = 0.9889$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 7

We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X greater than 34)

$P( X > 34) = P( z > \displaystyle\frac{34 - 50}{7}) = P(z > -2.2857)$

$= 1 - P(z \leq -2.2857)$

Calculation the value from standard normal z table, we have,

$P(X>34) = 1 - 0.0111= 0.9889= 98.89\%$

The attached image shows the normal curve.

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3 years ago

Mack plans to meet his 4 friends. How many different ways can he make his visit if he visits each friends once?

Galina-37 [17]

Answer:

Step-by-step explanation:

Mack can choose any of the 4 for the first visit, any of the remaining 3 for the second visit, either of the remaining 2 for the third visit, then visit the last one. There are 4·3·2·1 = 24 ways Mack can do this.

_____

The number 4·3·2·1 is "four factorial", written as 4! (with an exclamation point). It is the number of ways 4 objects can be ordered, called the number of <em>permutations</em> of 4 objects.

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3 years ago