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emmainna [20.7K]
3 years ago
6

Please explain! 1/2x+1/8y=3 Solve in Slope Intercept form.

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

y = 4x + 24

Step-by-step explanation:

The slope is the number in front of the x-value.

Slope intercept form is in the form of

y = mx + b  (or as how I learned it)

m is the slope, and b is the y-intercept (the number that is left on the side.)

You can rearrange this by moving the x to the right side by subtracting it from both sides.

You now have 1/8y = 3 - 1/2x

which can be rearranged to

1/8y = -1/2x + 3.

You need to change the y to 1 whole instead of 1/8, so you multiply it by 8 since 8 divided by 8 is 1.

y = -4x + 24

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Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week?
alina1380 [7]

Answer:

\huge\boxed{$75}$75

Step-by-step explanation:

Joni currently earns $300 per week (given)

To find how much more she will earn each week, write an expression adding the original pay and the raise amount.

$300 + 25%

Find 25 as a decimal for multiplication

25%  = 25/100 = 0.25

Write an expression to represent the scenario

Expression example 1:

$300 + 0.25(300)

This expression adds the original pay and the new raise together.

Expression example 2:

$300 (1.25)

This expression already takes the new pay into account by finding 125% of the original pay.

Simplify both expressions

Expression 1:

$300 + 0.25(300)

$300 + $75

$375

Expression 2:

$300 (1.25)

$375

Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.

New amount - original amount = amount increase

Substitute known values into the equation

$375 - $300

Simplify

$75

Joni will earn $75 more each week.

Let me know if you have any questions!

3 0
3 years ago
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Answer:

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Step-by-step explanation:

The three angles 51° , 56° and y form a straight angle.

This means that:

51 + 56 + y = 180

107 + y = 180

y = 180 - 107

y = 73°

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C = πd
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