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Valentin [98]
3 years ago
9

Which number sentence is true?

Mathematics
2 answers:
konstantin123 [22]3 years ago
5 0
The answer is B. 2.5+(-1.5)=1.0
storchak [24]3 years ago
5 0

Answer:

Therefore, B) 2.5 + (-1.5) = 1.0 is true.

Step-by-step explanation:

Given : Number sentences .

To find : Which number sentence is true.

Solution : We have given that numbers

We need to prove that is true,

Condition for true statement , left hand side and right hand side must be equal.

Then , 2.5 + (-1.5) = 1.0

Removing parenthesis

2.5 - 1.5 = 1.0

1.0 = 1.0

Left hand side is equal to right hand side.

Therefore, B) 2.5 + (-1.5) = 1.0 is true.

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Answer:

(a) 1825 = 2.25x + (2.25-1)(x -108)

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Step-by-step explanation:

(a) distance = speed·time

The first plane's speed is x. The distance it travels in 2.25 hours is 2.25x.

The second plane's speed is x-108. It travels only 1.25 hours (since it started an hour later). The distance it travels is then (2.25 -1)(x -108).

The problem statement tells us the total of the distances traveled by the two planes is 1825 miles, so we can write the equation ...

... 1825 = 2.25x + (2.25 -1)(x -108)

(b) Simplifying the equation gives ...

... 1825 = 3.50x -135

To solve this 2-step equation, we add 135, then divide by 3.50.

.. 1960 = 3.50x

... 1960/3.50 = x = 560

The first airplane's speed is 560 mph.

<u>Check</u>

In 2.25 hours, the first plane travels (560 mi/h)·(2.25 h) = 1260 mi.

In 1.25 hours, the second plane travels (452 mi/h)·(1.25 h) = 565 mi.

Then 2.25 hours after the first plane leaves, the planes are 1260 +565 = 1825 miles apart, as given in the problem statement.

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