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2 years ago

Maria works as a part- time waitress and earns $30 per day plus 2% of all sales of food and drinks during the day

Mathematics

1 answer:

ollegr [7]2 years ago

5 0

Answer:

$y = 30 + 0.02x$

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

$y = Earnings + Commission * Sales$

$y = 30 + 2\% * x$

Convert percentage to decimal

$y = 30 + 0.02 * x$

$y = 30 + 0.02x$

Hence, her daily earnings is $y = 30 + 0.02x$

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Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

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2 years ago

What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?

Alex_Xolod [135]

Answer:

Step-by-step explanation:

For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.

Step 1 Find the slope of the equation.

Put it into the slope-intercept form. y = mx + b.

For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you -y = -x + 7

Then, divide both sides by -1 to get a positive y. -y/-1 = (-x + 7)/-1

This leaves y = x - 7 The slope(m) for this equation is m = 1

The other equation must also have a slope of 1 or m=1 for the lines to be parallel.

Use the point given to you (-7, -6) and substitute for (x, y)

The slope-intercept form y = mx + b can once again be used.

x = -7, y =-6, and slope or m = 1

Therefore, y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept

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Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.

Finally, substitute the m and b in the slope-intercept form

y = (1)x + 1 or y = x +1

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