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Andre45 [30]
3 years ago
14

You need gas for your car, and just as you are approaching where you normally get gas, the radio station announces that the Chea

pGas station four miles away is selling gas $0.37 per gallon cheaper.
Required:
Would you travel the four miles to CheapGas to save money? In addition to a definitive yes or no answer, provide the mathematical calculations you used in making the decision and then explain in a few sentences why you would travel to CheapGas or why you would not travel to Cheap Gas. There is not one correct answer, but the reasoning provided must be correct to support your decision.
Mathematics
1 answer:
schepotkina [342]3 years ago
8 0

Answer: Yes

Step-by-step explanation:

Given that:

Distance from present location to CheapGas = 4 miles

Price of gas at CheapGas is $0.37 cheaper

Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;

1) The number of gallons of gas to purchase

2) The cost of gas required to return to cheap gas.

If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.

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I would either use a histogram or a frequency chart, but histogram is easier and neater 
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3 years ago
The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation co
saveliy_v [14]

Answer:

The right option is (C) (58 + 32)×4

Step-by-step explanation:

Total number of rooms = 4

Number of seats on left = 58 seats in each room

Number of seats on right = 32 seats in each room

Total number of seats in a room = 58 + 32 seats

Total number of seats in the movie theater = Number of rooms × Number of seats in each room

Total number of seats in the movie theater = 4 × (58 + 32)  = 360 seats

Hence the right option is (C) (58 + 32)×4

7 0
3 years ago
Homer the Hungry Hippo is munching on the lily pads in his pond. When he got to the pond, there were 30 lily pads, but he is eat
Alex17521 [72]

Answer:

After 5 hours, they will each have 10 lily pads left..

Step-by-step explanation:

30|25|20|15|10|5|0

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8 0
3 years ago
Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)
Dafna11 [192]

Answer:

a.  sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b.  (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know  sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r  and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2)  and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that  sin theta = y/r  and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know  r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0
3 years ago
A new computer owner creates a password consisting of two characters. the first character is a letter of the alphabet and the se
hichkok12 [17]

The number of letters is 26 in the English alphabet.

The number of digits from 0 ... 9 is 10

Therefore he can create 26 * 10 = 260 different passwords. <<<< Answer

3 0
4 years ago
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