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3 years ago

3x>9

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

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Multiply (3x – 5y)(2x + 3y)

Ghella [55]

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

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4 years ago

How many whole cans can the company make out of each sheet of metal?

klio [65]

Answer:

Step-by-step explanation:

Total Surface Area of the Metal Sheet = $1000\:in^2$

Given a cylinder with diameter 3 Inch and height $4\frac{1}{4} in$

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder = $2\pi r^2+2\pi rh$

Radius =3÷2=1.5 Inch

Height of the can = $4\frac{1}{4} in$

<u>Total Surface Area of each can </u>

$2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2$

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

$=1000 \div 17.25\pi\\=18.45$

Therefore, the company can make 18 whole cans from each sheet of metal.

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