What is ½ + ¼ equal to?

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

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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

Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappeara

nlexa [21]

The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:

T (years from Helike's disappearance to the end of the Civil War) = w + 373

To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.

Helike's disappearance year = (-w / 5)

According to the previous expression, the year of Helike's disappearance is:

Helike's disappearance year = (-1865/5) = -373

According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is: