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Radda [10]
3 years ago
14

The price per gallon of gasoline changes often. Most drivers pay close attention to those changes. Find the percent change in pr

ice for each of these cases.
a) increase from $4.00 per gallon to $4.20
b) increase from $3.00 per gallon to $3.75
c) decrease from $3.75 per gallon to $3.00
Mathematics
1 answer:
Jlenok [28]3 years ago
6 0
A) The amount of change is .20 (20 cents) so we need to find what percent of $4.00 is .20...
4 * x = .20
x = .20/4 = .05

Multiply by 100 (move decimal 2 places to the right) to change decimal to percent.

.05 = 5% increase

b)The increase is .75.  What percent of 3.00 is .75

3 * x = .75
x = .75/3
x = .25 x 100 = 25% increase

c) The amount of change is .75 but this time we are going from 3.75 to 3.00 so we find out what percent .75 is of 3.75.

3.75 * x = .75
x = .75/3.75
x = .20 x 100 = 20% decrease
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Function D models the depth of a submarine where D(x) is the depth in meters. When the submarine is x miles from its launching l
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The correct option D; models the depth of the submarine.

<h3>Define the term parabola?</h3>
  • Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.

When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.

Both x = 5 as well as x = 40 have zeros.

Since it's a parabola,

D(x) = a(x-5)(x-40)

vertex = (22.5, -146)

Thus,

-146 = a(22.5-5)(22.5-40)

a = -146/(22.5-5)(22.5-40)

a = 0.4767

Put value of a in equation.

D(x) = a(x-5)(x-40)

D(x) = 0.4767(x-5)(x-40)

The equation above is quadratic function model.

We can see from the graph that:

(5) and (0), respectively, are points on the graph (40,0).

Consequently, if x = 5 when y = 0, then.

y(min) > -160.

Additionally, the table in option (D) represents the submarine's depth.

To know more about the parabola, here

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The graph of the question with the options are attached.

6 0
1 year ago
How many clubs have at least 30 members?
defon

Answer:

do you have an attachment or anything?

Step-by-step explanation:

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3 years ago
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1.) A 20° sector in a circle has an area of 21.5π yd².
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<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

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Jose sold 102 raffle tickets for his basketball team. If he was given 125 tickets to sell, about what percentage of his tickets
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He sold about <span>80%  of his tickets</span>
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