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ddd [48]
3 years ago
15

Sheng owns the company Sandy Shores, which packages bottles of sand in two

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer: 35.5 ounces

Step-by-step explanation:

Given: The label on each small bottle states that the bottle contains 25 ounces of sand.

i.e. Required quantity q = 25 ounces

Company allows a tolerance  of (E)10.5 ounces for the amount of sand in each small bottle

i.e. maximum amount of sand, in ounces, that the company allows in

each small bottle = q+E = 25+10.5=35.5 ounces

Hence, the maximum amount of sand, in ounces, that the company allows in

each small bottle = 35.5 ounces

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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <
levacccp [35]

<u>Solution-</u>

The given inequalities are,

y < 2x-7,\\\\y\geq-\frac{1}{2}x+3

<u>Part A</u>

As the former inequality is only '<' so it will be represented as dotted line, but in case of the later inequality there is '≥' so it will be represented as a solid line.

This happens because in only '<, >' the values must be either lesser or greater than y, they can't take the values of y, but in case of '≤, ≥' the values can be equal to y.

Taking origin (0, 0) and putting in the first inequality.

\Rightarrow 0< 2(0)-7\\\\\Rightarrow 0\nless -7

As the equation does not satisfy, so the shaded area will be on the other side of the origin.

Again taking origin (0, 0) and putting in the second inequality.

\Rightarrow 0\geq-\frac{1}{2}0+3\\\\\Rightarrow 0\ngeqslant 3

As the equation does not satisfy, so the shaded area will be on the other side of the origin.

The second attachment contains the feasible region.

<u>Part B</u>

In order to know whether the point (3, −7) is included in the solution area for the system or not, we must put it in both the equations, if it satisfies both then only it is within the solution area.

\Rightarrow -7< 2(3)-7,\ -7\geq-\frac{1}{2}(3)+3\\\\\Rightarrow -7

As the point (3, -7) only satisfies first inequality, but not the second inequality so this point won't be in the solution area.


6 0
3 years ago
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You play a game that involves spinning the money wheel shown. you spin the wheel twice find the probability that you get more th
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Step-by-step explanation:

Given,

Number of strip = 4

Length (l) of each strip = 40 cm

Width (b) of each strip = 4 cm

To find the area of the inner square.

Formula

The area of rectangle = l×b

If the area of a square is A, each side will be √A

Now,

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Area of 4 strips = 160×4 sq cm = 640 sq cm

Hence,

The area of the square will be 640 sq cm.

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4 years ago
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Answer:

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from here, it cannot be simplified more

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Just add everything by putting the terms in parentheses and adding them.

Keep simplifying by putting the like terms together and adding/subtracting them.

At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.

Hope this helps!! Have a nice day!

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