3 years ago

1. Identify whether this equation has a solution that is positive, negative, or zero:

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

X=2/3
Which is positive

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A 13-ounce package of pistachios costs $5.99.what is the unit rate

borishaifa [10]

Answer:

$1 : ~2.1666667 ounce package

~ means about; estimation

How we solve this

$6 (÷6) -> $1

13 (÷6) -> 2.16666667

We divide the exact number by the number of the price to get the proportion of each ratio.

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4 years ago

Determine the gear ratio for a bike with 45 front teeth and 18 rear sprocket teeth.

Art [367]

Answer:

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3 years ago

The area of a rectangle is 20 square meters. The length of the rectangle is (x-3) meters and the

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Answer:22fy

Step-by-step explanation:

cause I got it right

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2 years ago

When 14 is subtracted from 6 times a number, 40 is

Rzqust [24]

Answer:

4.5

Step-by-step explanation:

Let the number be x

6x-14 = 40

Add 14

6x = 40+14

6x = 54

Divide by 6

6x/6 = 54/6

x = 9

We want 1/2 of the number

1/2 of 9 is 4.5

6 0

3 years ago

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

8 0

3 years ago