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Studentka2010 [4]
3 years ago
15

2x+3b = x-b solve for b

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

b= -1/4 x

Step-by-step explanation:

2x+3b=x−b

Step 1: Add b to both sides.

3b+2x+b=−b+x+b

4b+2x=x

Step 2: Add -2x to both sides.

4b+2x+−2x=x+−2x

4b=−x

Step 3: Divide both sides by 4.

4b/4 = -x/4

b= -1/4 x

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A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material
Valentin [98]

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

  • Volume, V = 10 m³
  • Length, l = 2w
  • Width, w = w
  • Base costs $15/m²
  • Sides costs $9/m²

The formula of volume of the box is

V = l × w × h

Where

  • l = length
  • w = width
  • h = height

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

Learn more about function of area here:

brainly.com/question/28698395

#SPJ4

3 0
1 year ago
A weather forecaster predicts that there is a 45% probability of snow today. What is the probability that it will not snow?
Ilia_Sergeevich [38]
55% if the percent is out of 100%. in which most weather statisics are out of 100. in which you take 100-45= giving you 55%
8 0
3 years ago
5x2 +14x = 3<br> How do you complete the square
katovenus [111]
If I’m correct negative one half
5 0
3 years ago
A theater group holds a fund-raiser. It sells 100 raffle tickets for $7 apiece. Suppose you purchase four tickets. The prize is
lys-0071 [83]

Answer:

Check Explanation

Step-by-step explanation:

The random variable X is the possible net amount that leaves or enters one's hands. It is the amount of winnings!

X can take on value of -($7 × 4) = -$28

(That is, none of the four raffle tickets bought is picked to win)

X can also take on value of [$150 - ($7 × 4)] = $122

(That is, one of the four raffle tickets bought is picked to win)

For the probability distribution function, we find the probabilities of the different amount of winnings.

First of, probability of losing = (96/100) = 0.96

Then, probability of winning = (4/100) = 0.04

Probability density distribution is then given as

X | probability

-$28 | 0.96

$122 | 0.04

To go a step further, expected winnings would be

E(X) = Σ xᵢpᵢ = (-28)(0.96) + (122)(0.04)

= -26.88 + 4.88 = -$22

The expected winnings show that this is not a risk worth taking.

Hope this Helps!!!

4 0
2 years ago
Joe made 11 egg rolls there were 6 egg rolls and each order how many egg rolls did Joe make?
harina [27]

Answer:

2

Step-by-step explanation:

He made 1 full one and the other contained 5

4 0
3 years ago
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