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3 years ago

Michael earns 20% commission on his total sales at work.

Mathematics

1 answer:

muminat3 years ago

4 0

Answer:

990

Step-by-step explanation:

20 goes into 100 5 times.

198 x 5 = 990

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5. David Read's the problem:

vladimir1956 [14]

Answer:

No, David's answer does not seem reasonable.

Let x= original purchase amount

25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.

If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.

Step-by-step explanation:

7 0

3 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

Can someone please help me find the value of y

STALIN [3.7K]

Answer:

4y=48

y=48/4

y=12

therefore,the value of y is 12

5 0

3 years ago

Juicu, the firefighter, was standing at top of an observation tower when he saw a fire. The angle of depression from the observa

Anon25 [30]

Answer: 160 ft to reach the kid. Plus some miles before he and Juicu are safe.

Step-by-step explanation:

Trig functions are remembered by

SOD CAD TOA,

sin = opposite / distance, cos = adjacent / distance, and tan = opposite / adjacent.

This time we need TOA.

We assume the area is flat and level. We know the angle (60°) and the opposite side of a right triangle with adjacent side running parallel to the ground to the fire, and opposite side running 90 feet straight down to the fire.

The angle of depression is 60° (?!!!!). Then the fire is closer than the tower is high, and we better evacuate. The minimum distance traveled to rescue the kid has to include getting away from the tower... Assume we want to know how far to travel to reach the kid.

Since this is a 30-60-90 triangle, the sides are 1, 1/2, and √3/2 = 1.732/2 = 0.866. (1732 was the year of George Washington's birth). That means sin(60°) = 0.866... nevermind. It's easier to use trig functions and they work when the angles aren't 30°, 45°, or 90°, and everyone carries trig functions in their phone.

Angle is 60°, opposite side is 90 feet, opposite side divided by adjacent side is tan(60°), adjacent side is opposite side divided by tan(60°) = 90ft/tan(60°) = 51.9615242ft, the kid is half way between base of tower and fire = 25.9807621ft from the base of the tower, and we have to travel 90+25.9807621 = 116.0 feet to reach the kid (hopefully before the fire travels 26 feet.)

7 0

3 years ago

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

makvit [3.9K]

-c-d=bx
divide by b
-c-d/b=x

5 0

3 years ago

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