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Sophie [7]
4 years ago
15

How do i solve this 1-3+2-4... +101-103

Mathematics
1 answer:
rusak2 [61]4 years ago
5 0

Answer:   -202

Step-by-step explanation:

Lets split this expression in neighbouring pares and calculate the value of each pair .

1-3=-2

2-4=-2

3-5=-2

4-6=-2

**************

101-103=-2

As we can notice the value of each pair is -2

The number of such pairs is 101.

So to get the total amount we have (-2)*101=-202

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True or false. If a is any odd integer, then a^2 + a is even. Explain this.
Ainat [17]

Answer:

True.

Step-by-step explanation:

We can represent an odd number by 2n + 1 where n = 0, 1, 2, 3, 5 etc.

Substituting:

a^2 + a = (2n + 1)^2 + 2n + 1

=  4n^2 + 4n + 1 + 2n + 1

= 4n^2 + 6n + 2

= 2(2n^2 + 3n + 1)

which is even because any integer multiplied by an even number is even.

This is also true if we use a negative odd integer:

We have 4n^2 + 4n + 1  - 1 - 2n

= 4n^2 + 2n

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7 0
3 years ago
Last month Bill spent $6,000. How much did bill spend on taxes last month? (1) The total amount Bill spent on taxes was 70% of t
jarptica [38.1K]

Answer:

Bill spent $988 on taxes.

Step-by-step explanation:

First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:

$6,000*0.4=$2,400

Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.

Let's consider that:

x=taxes

y=groceries

With the information we can write the following:

x+y=2,400 (1)

x=0.7y (2)

You can replace 2 in 1:

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1.7y=2,400

y=2,400/1.7

y=1,412

Then, you can replace the value of y in 2:

x=0.7(1,412)

x=$988

According to this, Bill spent $988 on taxes.

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4 years ago
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Answer:

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Step-by-step explanation:

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The answer is 8/5 which also matches quizlet
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3 years ago
The equation of a circle is given.
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The full answer is in the media.Good luck!

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