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3 years ago

One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers

1 answer:

4 0

Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171

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Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

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3 years ago

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Help ASAP!!! Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.

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Answer: $112.50 ; $4612.5

Step-by-step explanation:

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3 years ago

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio

Natali5045456 [20]

Answer:

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Step-by-step explanation:

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Now we use this slope in the general form of the slope- y_intercept of a line:

$y=-\frac{5}{3} x+b$

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

$y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}$

Therefore, the equation of the line in slope y_intercept form is:

$y=-\frac{5}{3} x+\frac{10}{3}$

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

$y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10$

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3 years ago

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Step-by-step explanation:

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