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3 years ago

Write two different expressions to represent the sale price of a fishing pole, f, after a 20% discount.

Mathematics

1 answer:

Rom4ik [11]3 years ago

7 0

Answer:

When we have a discount of X% of the original price, the new price is calculated as:

New price = (original price) - (original price)*(X%/100%)

In our case, let's define:

P = original price of the fishing pole

f = price of the fishing pole after the discount

X% = 20%

Then the equation for the price of the fishing pole is:

f = P - P*(20%/100%) = P - P*0.2 = P*(1 - 0.2) = P*0.8

f = 0.8*P

This means that the price after the discount is 0.8 times the original price.

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Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour

andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

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Mice21 [21]

I would think you would use 1/3 of a cup but I am not sure.Hope it helps!

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Need Help Please answer and Find the measure of the exterior angle of the triangle.

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Answer:

Step-by-step explanation:

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kari74 [83]

Answer:

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3 years ago

Consider the line y=7x-3 fine the equation that pass through -5,6 of a perpendicular

Pavel [41]

Answer:

$y=-\frac{1}{7}x+\frac{37}{7}$

Step-by-step explanation:

Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Your line has a slope of 7. In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope. The perpendicular slope to m = 7 is m = -1/7. Now we go through x = -5 and y = 6 to find the new equation.

6 = -1/7(-5) + b gives us

6 = 5/7 + b and

b = 37/7

Therefore, the equation of the line perpendicular to your original line is

$y = -\frac{1}{7}x + \frac{37}{7}$

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3 years ago