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Elenna [48]
1 year ago
13

Eight more than seven times a number is equal to four more than five times the number. What is the number?

Mathematics
2 answers:
Alex17521 [72]1 year ago
8 0

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Digiron [165]1 year ago
8 0

Let us consider the number to be 'n'.

<u>Given condition</u> :

  • 7n + 8 = 5n + 4

<u>Subtract '5n' from each side</u> :

  • 7n + 8 - 5n = 5n + 4 - 5n
  • 2n + 8 = 4

<u>Subtract '8' from each side</u> :

  • 2n + 8 - 8 = 4 - 8
  • 2n = -4

<u>Divide '2' from each side</u> :

  • 2n/2 = -4/2
  • \fbox {n = -2}

∴ The number is -2.

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When an exponent of a power is an even number and the base is a negative number, the value is always:
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<u>Answer:</u>

The correct answer option is A. positive.

<u>Step-by-step explanation:</u>

When an exponent or a power is an even number and the base is a negative number, the value is always positive.

Suppose we have a negative base - 3 and a power which is even, lets say, 6 so what we get is a positive value.

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The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.

<h3>What is the average of five consecutive integers ending with b?</h3>

First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;

(a+a+2+a+4+a+6+a+8+a+10)/6 = b

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Also, let the average of the consecutive intergers ending with b be denoted by; x.

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The average, x=b – 2 (where b = a-5)

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