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konstantin123 [22]
3 years ago
14

Elijah shares half of a package of clay equally among himself and 2 friends. What fraction of the whole package of clay will eac

h friend get?
Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer:

1|3

Step-by-step explanation:

Whether is half a package or not, it's still divided into thirds for Elijah and his 2 friends.

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If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?A. -2B
podryga [215]

Answer:

B) -3/2

Step-by-step explanation:

If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.

Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.

Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.

3 0
3 years ago
How can I simplify/rewrite the 1st(top) equation into the 2nd(Botton),please show a step by step solution.​
Vaselesa [24]

Answer:

see below

Step-by-step explanation:

-2(4 - \frac{x}{2} )^{5} + C

Think of the above as:

  -\frac{2}{1} * (\frac{8}{2} - \frac{x}{2} )^{5} + C

= -\frac{2}{1} * \frac{(8 - x)^{5}}{2^{5}}  + C

= -\frac{2}{1} * \frac{(8 - x)^{5}}{32}  + C

= -\frac{1}{1} * \frac{(8 - x)^{5}}{16}  + C

=   \frac{-1(8 - x)^{5}}{16}  + C

=   \frac{(-8 + x)^{5}}{16}  + C

Can flip it around to be...

\frac{(x - 8)^{5}}{16}  + C

4 0
2 years ago
For which interval does this quadratic inequality hold true?
adoni [48]

Answer:

D

Step-by-step explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

3 0
9 months ago
Kyle wants to wrap the box in wrapping paper. A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3
m_a_m_a [10]

Answer:

180 squared inches

Step-by-step explanation:

SA= L*W, L*H, H*W

108+54+18

=180

3 0
3 years ago
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