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3 years ago

Simplify negative 3 and 1 over 9 − negative 8 and 1 over 3.

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

-11 4/9

Step-by-step explanation:

-3 1/9 minus 8 1/3 with common denominators would be -3 1/9 minus 8 3/9, and that would be -11 4/9.

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Jonathan's class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?

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4 years ago

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What is the solution to –4(8 – 3x) ≥ 6x – 8?

AleksandrR [38]

Answer:

x ≥ 4

Step-by-step explanation:

Given

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3 years ago

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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: $2.52 feet$

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3 years ago

How many times can 8 go in to 1220

weeeeeb [17]

1220/8= 152.5
So 8 can go into 1220 152.5 times

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3 years ago