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balandron [24]
3 years ago
7

Simplify the expression using the properties of operations.

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0

Answer:

Step-by-step explanation:

5.23x+3.76-3.67x+6.39

x(5.23-3.67) +(3.76+6.39)

1.56x + 10.15

Kay [80]3 years ago
6 0

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

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Answer:

706.50 cubic cm.

Step-by-step explanation:

Given that a cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm.

We are to find out the t volume of juice does the pitcher contain when it is 25% full.  3.14 is to be used for pi.

Volume of the cylinder = \pi r^2 h\\ \\=3.14 *6^2*25\\=2826

When it is 25% full the volume would be 1/4 of the full volume

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So volume when 25% full is

706.50 cubic cm.

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3 years ago
What is the dimension of a rectangle if the perimeter is 198
AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or,                                   198 = 2 ×  (Length + width)

Or,                                   \frac{198}{2} = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

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Now differentiate both side with respect to W

D(99W - W²)\frac{D(99w - w^2)}{Dw} = 0         as, constant diff is 0

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