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KATRIN_1 [288]
2 years ago
5

Two numbers add up to 102 and the first is 8 bigger than the second. What are the two numbers?

Mathematics
2 answers:
Anarel [89]2 years ago
8 0
When solving algebraic word problems, we first set a variable to what we are trying to find. Then some "then" statements.

Let x = the smaller number
Then x + 8 = the bigger number

The sum of x and x + 8 is 102.

x + x + 8 = 102

Solve for x.

x + x + 8 = 102
2x + 8 = 102 <--- Combine like terms
2x = 94 <--- Subtract each side by 8
x = 47

Then the bigger number is 47 + 8 or 55.

So, the two numbers are 47 and 55.
lorasvet [3.4K]2 years ago
4 0
The correct numbers are 55 and 47, because they have a difference of 8 and a sum of 102.
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ira [324]
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4 0
3 years ago
If the regular selling price of a silk scarf is $49 and the markdown rate is 38%, what is its sale price?
Aleks04 [339]

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3 years ago
Find the equation of the line<br> passing through the points 1,-5)<br> and (9,11).<br> y = 2x + [?]
Naily [24]

Answer:

y = 2x - 7

Step-by-step explanation:

Looks like we already have the slope of this line:  It is 2.  Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:

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