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taurus [48]
2 years ago
8

Use the GCF and the Distributive Property to find the sum.

Mathematics
1 answer:
Scrat [10]2 years ago
5 0

Answer:

40 plus (2)42 plus 6x11

Step-by-step explanation:

Multiply

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Y=3x+2 find the oder pairs
Dafna11 [192]

Answer:

x  y

0  2

1   5

Step-by-step explanation:

4 0
3 years ago
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
2 years ago
Salama makes fruit baskets with oranges and bananas.
vovangra [49]

<em><u>The ratio for problem is:</u></em>

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

<em><u>Solution:</u></em>

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits,  so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0
3 years ago
Put the following 3x + y &lt; 8 into linear equation, Slope Intercept formmat<br>​
Verdich [7]

We have to get the y alone. So we'll subtract 3x on both sides.

Our new expression is y<-3x+8

---

sorry if this doesn't help

5 0
3 years ago
In a recent survey 55% of pet owners have more than one pet if there was 620 pet owners survey which proportion could be used to
Alika [10]

Answer:

341..

Step-by-step explanation:

i would personally say 341 because 620 multiplied by 55% or .55, as written on a calculator, would be 341.

5 0
3 years ago
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